The correct option is d) red blood cells. Red blood cells should not be present in a normal urine sample.
In a normal urine sample, the presence of red blood cells (erythrocytes) is considered abnormal and may indicate an underlying medical condition. Urine is produced by the kidneys and serves as a waste product elimination pathway for the body. It primarily consists of water and various dissolved substances, such as electrolytes (including potassium and sodium ions), metabolic waste products (such as urea and creatinine), and other compounds filtered by the kidneys.
Red blood cells are responsible for carrying oxygen to tissues and removing carbon dioxide waste. Under normal circumstances, red blood cells should not be present in urine as they are too large to pass through the filtration system of the kidneys. The presence of red blood cells in urine, known as hematuria, can indicate issues such as urinary tract infections, kidney stones, bladder or kidney inflammation, or other kidney-related disorders. Therefore, the absence of red blood cells in a normal urine sample is expected.
To know more about urine sample,
https://brainly.com/question/33447695
#SPJ11
The measured reduction potentials are not equal to the calculated reduction potentials. Give two reasons why this might be observed. 5. Part B.3. The cell potential increased (compared to Part B.2) with the addition of the Na₂S solution to the 0.001 MCuSO4 solution. Explain. 7. Part C. Suppose the 0.1 M Zn²+ solution had been diluted (instead of the Cu²+ solution), Would the measured cell potentials have increased or decreased? Explain why the change occurred.
1. Reasons for the discrepancy between measured and calculated reduction potentials: Experimental conditions and electrode imperfections.
5. The cell potential increased with the addition of Na₂S due to the formation of CuS, reducing Cu²+ concentration and improving the electrochemical reaction.
7. If the Zn²+ solution had been diluted, the measured cell potentials would have decreased due to the decrease in ion concentration, which is directly proportional to cell potential.
1. Reasons for the discrepancy between measured and calculated reduction potentials:
a) Experimental conditions: The calculated reduction potentials are typically based on standard conditions (e.g., 1 M concentration, 25°C temperature), while the measured reduction potentials may be obtained under different experimental conditions. Variations in temperature, concentration, pH, and presence of other ions can affect the measured potentials and lead to discrepancies.
b) Electrode imperfections: The presence of impurities, surface roughness, or inadequate electrode preparation can introduce additional resistance or alter the electrode's behavior, resulting in differences between measured and calculated potentials.
5. The cell potential increased with the addition of the Na₂S solution to the CuSO4 solution:
This increase in cell potential can be attributed to the reaction between Na₂S and Cu²+ ions. Na₂S can react with Cu²+ to form CuS, which is a solid precipitate. This reduces the concentration of Cu²+ in the solution and shifts the equilibrium of the cell reaction, increasing the overall cell potential. The formation of the solid CuS also removes Cu²+ from the solution, effectively reducing the concentration polarization at the electrode surface and improving the overall electrochemical reaction.
7. If the 0.1 M Zn²+ solution had been diluted instead of the Cu²+ solution:
The measured cell potentials would have decreased. Diluting the Zn²+ solution would reduce the concentration of Zn²+ ions in the solution. Since the cell potential is directly proportional to the logarithm of the ion concentration, a decrease in concentration would result in a decrease in cell potential. Therefore, the measured cell potentials would have decreased if the Zn²+ solution had been diluted.
Learn more about [tex]Cuso_4:[/tex]
https://brainly.com/question/1883120
#SPJ11
Use propositional logic to prove that the argument is valid. Do not use truth tables (A + B) ^ (C V -B) ^(-D-->C) ^ A D Please use the following substitute operators during your quiz: ^: &
v: I
¬: !
-->: ->
To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:
(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D
We will represent the proposition as follows:
P: (A + B)
Q: (C V -B)
R: (-D --> C)
S: A
T: D
From the given premises, we can deduce the following:
P ^ Q (Conjunction Elimination)
P (Simplification)
Now, let's apply the rules of disjunction elimination:
P (S)
A + B (Simplification)
Next, let's apply the rule of disjunction introduction:
C V -B (S ^ Q)
Using disjunction elimination again, we have:
C (S ^ Q ^ R)
Finally, let's apply the rule of modus ponens:
-D (S ^ Q ^ R)
C (S ^ Q ^ R)
Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.
To learn more about Simplification : brainly.com/question/28261894
#SPJ11
Please provide me with an idea for my introduction about
construction safety. Thank you
Construction is a vital industry that shapes our infrastructure and builds the foundation for our cities and communities.
However, amidst the significant progress and achievements in the construction field, ensuring safety on construction sites remains a paramount concern. Construction safety plays a crucial role in protecting the lives and well-being of workers, reducing accidents, and creating an environment that promotes productivity and efficiency. By implementing robust safety measures and fostering a culture of safety, construction companies can safeguard their workers and contribute to a safer and more sustainable industry.
In this paper, we will delve into the importance of construction safety, explore key challenges faced in the field, and discuss effective strategies to enhance safety practices for a safer construction environment.
To know more about key visit:
brainly.com/question/31023943
#SPJ11
A compound containing only C, H, and O, was extracted from the bark of the sassafras tree. The combustion of 66.1 mg produced 179 mg of CO2 and 36.7 mg of H2O. The molar mass of the compound was 162 g/mol. Determine its empirical and molecular formulas.
Therefore, the empirical formula of the compound is C2H2O, and the molecular formula is C8H8O.
To determine the empirical and molecular formulas of the compound, we need to analyze the ratios of the elements present and use the given combustion data.
First, we calculate the moles of carbon dioxide (CO2) and water (H2O) produced in the combustion reaction:
Moles of CO2 = 179 mg / molar mass of CO2 = 179 mg / 44.01 g/mol = 4.07 mmol
Moles of H2O = 36.7 mg / molar mass of H2O = 36.7 mg / 18.02 g/mol = 2.04 mmol
Next, we calculate the moles of carbon (C) and hydrogen (H) in the compound using the stoichiometry of the combustion reaction:
Moles of C = 4.07 mmol
Moles of H = (2 × 2.04 mmol) / 2 = 2.04 mmol
Now, we can determine the empirical formula by dividing the moles of each element by the smallest number of moles (which is 2.04 mmol in this case):
Empirical formula: C2H2O
To find the molecular formula, we compare the empirical formula mass (sum of the atomic masses in the empirical formula) to the given molar mass of the compound (162 g/mol):
Empirical formula mass = (2 × atomic mass of C) + (2 × atomic mass of H) + atomic mass of O
Empirical formula mass = (2 × 12.01 g/mol) + (2 × 1.01 g/mol) + 16.00 g/mol = 42.04 g/mol
To determine the molecular formula, we divide the molar mass of the compound (162 g/mol) by the empirical formula mass (42.04 g/mol):
Molecular formula = (162 g/mol) / (42.04 g/mol) ≈ 3.85
Since the molecular formula must be a whole number, we multiply the empirical formula by 4 (approximately 3.85) to obtain the molecular formula: Molecular formula: C8H8O
To know more about empirical formula,
https://brainly.com/question/28809013
#SPJ11
Researchers interested in the perception of three-dimensional shapes on computer screens decide to investigate what components of a square figure or cube are necessary for viewers to perceive details of the shape. They vary the stimuli to include: fully rendered cubes, cubes drawn with corners but incomplete sides, and cubes with missing corner information. The viewers are trained on how to detect subtle deformations in the shapes, and then their accuracy rate is measured across the three figure conditions. Accuracy is reported as a percent correct. Four participants are recruited for an intense study during which a large number of trials are required. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.
The sample means are provided below:
The researchers are investigating the perception of three-dimensional shapes on computer screens and specifically examining the components of a square figure or cube necessary for viewers to perceive details of the shape. They vary the stimuli to include fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. Four participants are recruited for an intense study, and their accuracy rates are measured across the three figure conditions. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.
In this study, the researchers are interested in understanding how viewers perceive details of three-dimensional shapes on computer screens. They manipulate the stimuli by presenting fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. By varying these components, the researchers aim to identify which elements are necessary for viewers to accurately perceive the shape.
Four participants are recruited for an intense study, indicating a small sample size. While a larger sample size would generally be preferred for generalizability, intense studies often involve fewer participants due to the time and resource constraints associated with conducting a large number of trials. This approach allows for in-depth analysis of individual participant performance.
The participants are trained on how to detect subtle deformations in the shapes, which suggests that the study aims to assess their ability to perceive and discriminate fine details. After the training, the participants' accuracy rates are measured across the three different figure conditions, likely reported as a percentage of correctly identified shape details.
To minimize potential biases, the trials are presented in different orders for each participant, using a random-numbers table to determine unique sequences. This randomization helps control for order effects, where the order of presenting stimuli can influence participants' responses.
The researchers in this study are investigating the perception of three-dimensional shapes on computer screens. By manipulating the components of square figures or cubes, they aim to determine which elements are necessary for viewers to perceive shape details accurately. The study involves four participants, an intense study design, and measures accuracy rates across different figure conditions. The use of randomization in trial presentation helps mitigate potential order effects.
To know more about unique sequences visit:
https://brainly.com/question/31250925
#SPJ11
Consider the beam shown in kip, w=1.9kip/ft, and point D is located just to the left of the 6-kip load. Follow the sign convention. Determine the internal normal force at section passing through point E. Express your answer to three significant figures and include the appropriate units. - Part E Determine the internal shear force at section passing through point E. Express your answer to three significant figures and include the appropriate units. Incorrect; Try Again; 2 attempts remaining Figure 1 of 1 Determine the internal moment at section passing through point E. Express your answer to three significant figures and include the appropriate units.
The internal shear force at section E is given by,[tex]V_E = R_A - w (L_AE) = (15.375 kip) - (1.9 kip/ft) (10 ft) = -4.625[/tex]kip
Hence the internal shear force at section E is -4.63 kip (tensile).
The internal moment at section E is given by, [tex]M_E = R_A (L_AE) - (w/2) (L_AE)[/tex]²
[tex]= (15.375 kip) (10 ft) - (1.9 kip/ft) (10 ft)²/2 = 42.5 kip-ft[/tex]
Hence the internal moment at section E is 42.5 kip-ft (clockwise).
Given:Load w = 1.9 kip/ft6 kip point load at point B.A beam is loaded as shown in the figure below; a 6 kip point load at B and a uniform load w=1.9 kip/ft between A and B.
The distances are L_AB = 10 ft, L_BC = 5 ft and L_CD = 6 ft. In order to determine the shear and moment in the beam, take the section through E.Let's first determine the reactions at A and B.
The equations of equilibrium for the vertical direction are given by, R_A + R_B = w(L_AB) + 6Substituting the given values of w, L_AB and the load,R_A + R_B = (1.9 kip/ft)(10 ft) + 6 kip= 25 kip
Taking moments about B,∑[tex]MB = R_A (10 ft) + (1.9 kip/ft) (10 ft²/2) + 6 kip (5 ft)= 52.5[/tex] kip-ftSolving the above two equations for R_A and R_B, we getR_A = 15.375 kipR_B = 9.625 kip
The shear force diagram for the beam can be drawn as shown below;
The moment diagram for the beam can be drawn as shown below;
To know more about moment visit:
https://brainly.com/question/28687664
#SPJ11
Calculate the COP value for Rankine refrigeration cycle where
Th=10C and Tc=-20C.
The COP value for Rankine refrigeration cycle where Th=10°C and Tc=-20°C is -11.45.
The Rankine refrigeration cycle is a thermodynamic cycle that is commonly used in refrigeration. It uses a refrigerant to absorb heat from a cold space and release it into a warmer environment. The coefficient of performance (COP) is an important parameter that is used to measure the efficiency of a refrigeration cycle.
To calculate the COP value for Rankine refrigeration cycle where Th=10°C and Tc=-20°C, we can use the formula:
COP = QL/Wc
Where QL is the heat removed from the cold reservoir and Wc is the work done by the compressor.
We can calculate QL using the formula:
QL = mCp(Tc-Th)
Where m is the mass flow rate of the refrigerant, Cp is the specific heat capacity of the refrigerant, Tc is the temperature of the cold reservoir, and Th is the temperature of the hot reservoir.
Assuming that the mass flow rate of the refrigerant is 1 kg/s and the specific heat capacity of the refrigerant is 4.18 kJ/kg.K, we can calculate QL as:
QL = 1 x 4.18 x (-20-10) = -104.5 kW
(Note that the negative sign indicates that heat is being removed from the cold reservoir.)
We can calculate Wc using the formula:
Wc = m(h2-h1)
Where h2 is the enthalpy of the refrigerant at the compressor exit and h1 is the enthalpy of the refrigerant at the compressor inlet.
Assuming that the compressor is adiabatic and reversible, we can use the isentropic efficiency to calculate h2 as:
h2 = h1 + (h2s-h1)/ηs
Where h2s is the enthalpy of the refrigerant at the compressor exit for an isentropic compression process and ηs is the isentropic efficiency.
Assuming that the isentropic efficiency is 0.85, we can use a refrigerant table to find h1 and h2s for the given temperatures. For example, if we use R134a as the refrigerant, we can find h1 = -38.17 kJ/kg and h2s = -22.77 kJ/kg.
Substituting these values into the equation, we can calculate h2 as:
h2 = -38.17 + (-22.77+38.17)/0.85 = -29.04 kJ/kg
(Note that the negative sign indicates that work is being done by the compressor.)
Therefore, we can calculate Wc as:
Wc = 1 x (-29.04 - (-38.17)) = 9.13 kW
Finally, we can calculate the COP as:
COP = QL/Wc = -104.5/9.13 = -11.45
(Note that the negative sign indicates that the system is not a heat pump, but a refrigeration cycle.)Thus, the COP value for Rankine refrigeration cycle where Th=10°C and Tc=-20°C is -11.45.
To know more about Rankine Cycle:
brainly.com/question/16836203
#SPJ11
Solve the linear homogenous ODE:
(x^2)y''+3xy'+y=0
There is no solution of the given ODE of the form y = x^n.
Hence, we cannot use the method of undetermined coefficients to solve the given ODE.
The solution of the linear homogeneous ODE:
(x^2)y''+3xy'+y=0 is as follows:
Given ODE is (x^2)y''+3xy'+y=0
We need to find the solution of the given ODE.
So,Let's assume the solution of the given ODE is of the form y=x^n
Now,
Differentiating y w.r.t x, we get
dy/dx = nx^(n-1)
Again, Differentiating y w.r.t x, we get
d^2y/dx^2 = n(n-1)x^(n-2)
Now, we substitute the value of y, dy/dx and d^2y/dx^2 in the given ODE.
(x^2)n(n-1)x^(n-2)+3x(nx^(n-1))+x^n=0
We simplify the equation by dividing x^n from both the sides of the equation.
(x^2)n(n-1)/x^n + 3nx^n/x^n + 1 = 0
x^2n(n-1) + 3nx + x^n = 0
x^n(x^2n-1) + 3nx = 0
(x^2n-1)/x^n = -3n
On taking the limit as n tends to infinity, we get,
x^2 = 0 which is not possible.
So, there is no solution of the given ODE of the form y = x^n.
Hence, we cannot use the method of undetermined coefficients to solve the given ODE.
To know more about undetermined coefficients visit:
https://brainly.com/question/32563432
#SPJ11
b) State whether each of the modifications listed below would increase or reduce an unrestrained beam's resistance to lateral torsional buckling: Adopting a circular hollow section (CHS) Applying a load acting away from the shear centre (at the bottom flange)
Adopting a circular hollow section (CHS) and Applying a load acting away from the shear centre (at the bottom flange) would increase an unrestrained beam's resistance to lateral torsional buckling.
Lateral torsional buckling is the failure mode that occurs when a beam undergoes a bending moment, causing it to twist and buckle out of the plane, which can lead to catastrophic failure.
Modifying the beam in various ways can either increase or decrease its resistance to lateral torsional buckling.Modifications that increase resistance to lateral torsional buckling:
Adopting a circular hollow section (CHS): The resistance to lateral torsional buckling increases when a rectangular section is replaced by a circular hollow section due to the improved torsional and warping rigidity.Applying a load acting away from the shear centre (at the bottom flange):
By applying a load away from the shear centre, the torsional stiffness of the beam increases and thus the beam's resistance to lateral torsional buckling increases.Modifications that reduce resistance to lateral torsional buckling:Cutting a hole in the beam: Cutting a hole in the beam reduces its stiffness and, as a result, its resistance to lateral torsional buckling decreases.
Adopting a circular hollow section (CHS) and Applying a load acting away from the shear centre (at the bottom flange) would increase an unrestrained beam's resistance to lateral torsional buckling.
To know more about resistance visit:
brainly.com/question/29427458
#SPJ11
WORTH 20 POINTS If mABC = 250°, what is m∠ABC?
Answer:
55 degrees
Step-by-step explanation:
I've found a similar question to this, and the explanation is there.
https://brainly.com/question/14993673
m<ABC = 360-250= 110 degrees
"As we know that the measure of angle ABC is equal to half of mADC."
110/2 = 55 degrees.
This should be the answer.
Find cathode reaction for K _2 SO _4.
Answer: the cathode reaction for K2SO4 is the reduction of potassium ions (K+) to form potassium atoms (K).
The cathode reaction for K2SO4 involves the reduction of ions at the cathode during electrolysis. In this case, the ions present in K2SO4 are potassium (K+) and sulfate (SO42-).
The cathode reaction can be determined by considering the reduction potentials of the ions involved. The ion with the highest reduction potential will be reduced at the cathode.
In the case of K2SO4, the reduction potential of potassium (K+) is lower than that of sulfate (SO42-). Therefore, potassium ions will be reduced at the cathode.
The reduction of potassium ions (K+) at the cathode can be represented by the following half-reaction:
K+ + e- → K
This reaction involves the gain of an electron (e-) by a potassium ion (K+) to form a neutral potassium atom (K).
To summarize, the cathode reaction for K2SO4 is the reduction of potassium ions (K+) to form potassium atoms (K).
To learn more about cathode reaction:
https://brainly.com/question/32774287
#SPJ11
The influent flow (dwf) is 30,000 m³/day and the influent BOD concentration is 300 mg BOD/l. The sludge recycle flow ratio (fr) is 0.5.
What would be the size (volume) in m³ of the anaerobic tank? Assume a hydraulic retention time of 1 hour and do not forget the sludge recycle flow to the anaerobic tank.
The influent flow (dwf) is 30,000 m³/day and the influent BOD concentration is 300 mg BOD/l. The sludge recycle flow ratio (fr) is 0.5. The size (volume) of the anaerobic tank would be 0.06 m³ or 60 litres.
Given data:Influent flow (Q) = 30,000 m³/day
Influent BOD concentration = 300 mg BOD/l
Sludge recycle flow ratio (fr) = 0.5
Hydraulic retention time (θ) = 1 hour
Formula used:BOD Load, L = Q × S
Where,Q = Flow rateS = BOD concentration
Volume, V = L × θ/(BOD × fr)
Where,L = BOD loadθ = Hydraulic retention time
BOD = Influent BOD
concentrationfr = Sludge recycle flow ratio
Calculation:BOD Load, L = Q × S= 30,000 × 300= 9000000 mg/day or L = 9 kg/day
Volume of anaerobic tank,V = L × θ/(BOD × fr)= 9 × 1/(300 × 0.5)= 0.06 m³ or 60 litres
Therefore, the size (volume) of the anaerobic tank would be 0.06 m³ or 60 litres.
Learn more about volume
https://brainly.com/question/28058531
#SPJ11
According to the balanced chemical equation below, how many
grams of H2O are produced if 4.85 grams of CO2 were produced? 2
C8H18 + 25 O2 --> 16 CO2 + 18 H2O
=Aapproximately 2.23 grams of H2O are produced if 4.85 grams of CO2 were produced.
determine the mass of H2O produced, we need to use the balanced chemical equation and the given mass of CO2 produced.
The balanced chemical equation is:
2 C8H18 + 25 O2 --> 16 CO2 + 18 H2O
According to the equation, the molar ratio between CO2 and H2O is 16:18. This means that for every 16 moles of CO2 produced, 18 moles of H2O are produced.
To find the number of moles of CO2, we can use its molar mass. The molar mass of CO2 is approximately 44.01 g/mol.
Given:
Mass of CO2 produced = 4.85 grams
Now let's calculate the number of moles of CO2:
Moles of CO2 = Mass of CO2 / Molar mass of CO2
Moles of CO2 = 4.85 g / 44.01 g/mol
Next, we can use the mole ratio from the balanced equation to calculate the number of moles of H2O produced:
Moles of H2O = (Moles of CO2 / 16) * 18
Finally, we can convert the moles of H2O to grams using its molar mass. The molar mass of H2O is approximately 18.02 g/mol.
Mass of H2O = Moles of H2O * Molar mass of H2O
Let's perform the calculations:
Moles of CO2 = 4.85 g / 44.01 g/mol ≈ 0.1101 mol
Moles of H2O = (0.1101 mol / 16) * 18 ≈ 0.1238 mol
Mass of H2O = 0.1238 mol * 18.02 g/mol ≈ 2.23 grams
Therefore, approximately 2.23 grams of H2O are produced if 4.85 grams of CO2 were produced.
To learn more about grams visit:
https://brainly.com/question/30402121
#SPJ11
A matter's phase is determined by the free energy of a system. However, there are apparent exceptions to these rules. When an over-saturated aqueous salt solution is brought below its freezing point at a slow rate, the mixture maintains a liquid appearance and texture. Which of the following statement can properly explain the phenomenon? a. The salt solution is a mixture, so it cannot be described using phase diagrams. b. The entropy of the salt solution is too high, so it is impossible for the Gibbs free energy for phase transition to fall below zero. c. The salt molecules form local orderly clusters that drastically lower the entropy, so it is impossible to freeze a salt saturated aqueous solution. d. The free energy values provide information on spontaneity, but the freezing process is simply too slow
c. The salt molecules form local orderly clusters that drastically lower the entropy, so it is impossible to freeze a salt-saturated aqueous solution.
When an over-saturated aqueous salt solution is slowly brought below its freezing point, it may appear and maintain a liquid state instead of solidifying. This phenomenon can be explained by statement c, which suggests that the salt molecules in the solution form local orderly clusters that greatly reduce the entropy.
In a regular freezing process, the decrease in temperature causes the molecules in a liquid to lose kinetic energy, leading to a decrease in entropy as the molecules become more ordered in a solid state. However, in an over-saturated solution, the presence of excess salt molecules disrupts the formation of a regular crystal lattice, preventing the system from transitioning to a solid phase.
The formation of local orderly clusters within the solution is a result of strong intermolecular forces between the salt ions and water molecules. These clusters reduce the randomness and disorder (entropy) of the system, making it energetically unfavorable for the solution to freeze. The presence of these clusters allows the solution to maintain its liquid appearance and texture even below the freezing point.
It's important to note that while the free energy values provide information on the spontaneity of a process, the slow rate of the freezing process (as mentioned in option d) does not directly influence the phenomenon of maintaining a liquid state in the over-saturated salt solution. The key factor is the formation of local orderly clusters, which significantly lower the system's entropy and prevent the transition to a solid phase.
Learn more about Molecules
brainly.com/question/32298217
#SPJ11
Find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places.
(-5.7,-0.8)
Rectangular coordinates: (-3.97,4.09)
Rectangular coordinates: (4.09,-3.97)
Rectangular coordinates: (-3.97,5.09)
Rectangular coordinates: (-2.97,5.09)
Rectangular coordinates: (-2.97,4.09)
The rectangular coordinates of the point (-5.7, -0.8) in polar coordinates are approximately (-3.97, 4.09).
The rectangular coordinates of a point given in polar coordinates can be found using the following formulas:
x = r * cos(theta)
y = r * sin(theta)
In this case, we are given the polar coordinates (-5.7, -0.8). To find the rectangular coordinates, we substitute the values into the formulas:
x = -5.7 * cos(-0.8)
y = -5.7 * sin(-0.8)
Using a calculator, we can evaluate these expressions and round the results to two decimal places:
x ≈ -3.97
y ≈ 4.09
Therefore, the rectangular coordinates of the point (-5.7, -0.8) in polar coordinates are approximately (-3.97, 4.09).
To know more about polar coordinates, click-
https://brainly.com/question/31904915
#SPJ11
1. Design a sewer to serve a population of 120000; the daily per capita water supply allowance being 180 litres, of which 80% find its way into the sewer. The permissible sewer slope is 1 in 1000, peak factor=2 and take, Manning's n=0.012.
Population to be served = 120000 Daily per capita water supply allowance = 180 litres Daily water supply = (120000 × 180) litres = 21600000 litres Daily flow to the sewer = (80/100) × 21600000 litres = 17280000 litres Manning's n = 0.012
Permissible sewer slope = 1 in 1000
Peak factor = 2
Design of sewer -Using Manning's formula; Q = AVQ = Discharge (flow) (17280000 litres/day)
A = Cross-sectional area of sewer
V = Velocity of flow
From Manning's formula,Q = A × R^(2/3) × S^(1/2) / nA
= Q × n / R^(2/3) × S^(1/2)
Using S = 1 in 1000 and peak factor = 2, S1 = S × peak factor = 1/500
Using the formula, A = Q × n / R^(2/3) × S^(1/2),
A = 17280000 × 0.012 / (1/1000)^(2/3) × (1/500)^(1/2) = 0.354 m²
Diameter of sewer,D = (4 × A / π)^(1/2)D = (4 × 0.354 / π)^(1/2) = 0.673 m Assuming a circular sewer, diameter = 0.673 m can be used. In designing a sewer to serve a population of 120000, the daily per capita water supply allowance being 180 litres, of which 80% find its way into the sewer, the permissible sewer slope is 1 in 1000, peak factor=2 and take, Manning's n=0.012, a diameter of 0.673 m can be used.
To know more about per capita visit:
https://brainly.com/question/31650362
#SPJ11
Find the unique solution to the following IVP and identify its Interval of Existence. 77,w(√5) = 2 w' 1 t² 4 2. (20 pts) (a) Find the general solution of y" 4y' + 4y = 0. (b) Find a particular solution of y" — 4y' + 4y = 4t².
The given differential equation is y" + 4y' + 4y = 0, which is a homogeneous linear differential equation of second order.
For the particular equation y" - 4y' + 4y = 4t^2, we can use the method of undetermined coefficients.
Assuming the particular solution is a polynomial of degree 2, we let y = at^2 + bt + c.
By substituting y and its derivatives into the differential equation and solving for the coefficients a, b, and c, we find a particular solution.
The general solution of the homogeneous equation is y = (c1 + c2t)e^(-2t), which does not contain terms of degree 2.
Thus, we assume the particular solution is of the form y = at^2 + bt + c.
After substituting the derivatives of y into the differential equation and simplifying, we equate the coefficients of the corresponding powers of t.
Solving the resulting equations, we find a = 1/3, b = 2/3, and c = 1/3. Therefore, a particular solution of the differential equation is y = t^2 + 1/3 t^4.
The general solution of the differential equation is the sum of the homogeneous solution and the particular solution:
y = (c1 + c2t)e^(-2t) + t^2 + 1/3 t^4.
The interval of existence is (-∞, ∞).
Let me know if you need further clarification.
To know more about homogeneous visit:
https://brainly.com/question/32618717
#SPJ11
4 $30 can be exchanged for 170 Egyptian pounds.
How many Egyptian pounds would you get for $12?
Answer:
68 Egyptian
Step-by-step explanation:
$30=170 Egyptian
x Egyptian=$12
using by chain rule,
170*12/30
68 egyptian
Let v1 = (1, 0, 0, −1), v2 = (1, −1, 0, 0), v3 = (1, 0, 1, 0)
and subspace U = Span{v1, v2, v3} ⊂ R4 .
why {v1, v2, v3} is a basis of U and find orthogonal basis for
U
The set {v₁, v₂, v₃} is a basis for U because it is linearly independent and spans U. An orthogonal basis for U is {u₁, u₂, u₃} = {(1, 0, 0, -1), (1/2, -1, 0, 1/2), (1/6, 2/3, 1, 1/6)}.
The set {v₁, v₂, v₃} is a basis of subspace U = Span{v₁, v₂, v₃} ⊂ R₄ if it satisfies two conditions:
(1) the vectors in the set are linearly independent, and
(2) the set spans U.
To check for linear independence, we need to see if the equation
c₁v₁+ c₂v₂ + c₃v₃ = 0
has a unique solution, where c₁, c₂, and c₃ are scalars.
In this case, we have:
c₁(1, 0, 0, -1) + c₂(1, -1, 0, 0) + c₃(1, 0, 1, 0) = (0, 0, 0, 0)
Expanding the equation, we get:
(c₁ + c₂ + c₃, -c₂, c₃, -c₁) = (0, 0, 0, 0)
From the first component, we can see that c₁ + c₂ + c₃ = 0.
From the second component, we have -c₂ = 0, which implies c₂ = 0.
Finally, from the third component, we have c₃ = 0.
Substituting these values back into the first component, we get c₁ = 0.
Therefore, the only solution to the equation is c₁ = c₂ = c3 = 0, which means that {v₁, v₂, v₃} is linearly independent.
Next, we need to check if the set {v₁, v₂, v₃} spans U.
This means that any vector in U can be written as a linear combination of v₁, v₂, and v₃. Since U is defined as the span of v₁, v₂, and v₃, this condition is automatically satisfied.
Therefore, {v₁, v₂, v₃} is a basis for U because it is linearly independent and spans U.
To find an orthogonal basis for U, we can use the Gram-Schmidt process. This process takes a set of vectors and produces an orthogonal set of vectors that span the same subspace.
Starting with v₁, let's call it u₁, which is already orthogonal to the zero vector. Now, we can subtract the projection of v₂ onto u₁ from v₂ to get a vector orthogonal to u₁.
To find the projection of v₂ onto u₁, we can use the formula:
proj_u(v) = (v · u₁) / ||u₁||² * u₁ where "·" denotes the dot product.
The projection of v₂ onto u₁ is given by: proj_u₁(v₂) = ((v₂ · u₁) / ||u₁||²) * u₁.
Substituting the values, we get:
proj_u₁(v₂) = ((1, -1, 0, 0) · (1, 0, 0, -1)) / ||(1, 0, 0, -1)||² * (1, 0, 0, -1)
= (1 + 0 + 0 + 0) / (1 + 0 + 0 + 1) * (1, 0, 0, -1)
= 1/2 * (1, 0, 0, -1)
= (1/2, 0, 0, -1/2)
Now, we can subtract this projection from v₂ to get a new vector orthogonal to u₁:
u₂ = v₂ - proj_u₁(v₂) = (1, -1, 0, 0) - (1/2, 0, 0, -1/2) = (1/2, -1, 0, 1/2)
Finally, we can subtract the projections of v₃ onto u₁ and u₂ to get a vector orthogonal to both u₁ and u₂:
proj_u₁(v₃) = ((1, 0, 1, 0) · (1, 0, 0, -1)) / ||(1, 0, 0, -1)||² * (1, 0, 0, -1)
= (1 + 0 + 0 + 0) / (1 + 0 + 0 + 1) * (1, 0, 0, -1)
= 1/2 * (1, 0, 0, -1)
= (1/2, 0, 0, -1/2)
proj_u₂(v₃) = ((1, 0, 1, 0) · (1/2, -1, 0, 1/2)) / ||(1/2, -1, 0, 1/2)||² * (1/2, -1, 0, 1/2)
= (1 + 0 + 0 + 0) / (1/2 + 1 + 1/2 + 1/2) * (1/2, -1, 0, 1/2)
= 2/3 * (1/2, -1, 0, 1/2)
= (1/3, -2/3, 0, 1/3)
Now, we can subtract these projections from v₃ to get a new vector orthogonal to both u₁ and u₂:
u₃ = v₃ - proj_u₁(v₃) - proj_u₂(v₃)
= (1, 0, 1, 0) - (1/2, 0, 0, -1/2) - (1/3, -2/3, 0, 1/3)
= (1/6, 2/3, 1, 1/6)
Therefore, an orthogonal basis for U is {u₁, u₂, u₃} = {(1, 0, 0, -1), (1/2, -1, 0, 1/2), (1/6, 2/3, 1, 1/6)}.
To know more about orthogonal:
https://brainly.com/question/30772550
#SPJ11
Plot the shear and moment diagrams for the beam loaded with both the distributed and point loads. What are the values of the shear and moment at x=3 m ? Determine the maximum bending moment Mmax. Note: Please write the value of x in the space below.
Answer: Shear force at x=3m = -34 kN
The maximum bending moment Mmax = 14 kN.m occurs at x = 6 m.
Maximum bending moment: Mmax = 14 kN.m
Maximum bending moment occurs at x=6m.
Given the beam loaded with both distributed and point loads as shown in the figure below: Let's plot the shear and moment diagrams for the beam loaded with both the distributed and point loads
To plot the shear and moment diagrams, first calculate the reactions at A and D:
RA + RB = 20 × 4 = 80 kN ……(1)20 × 4 × 2 + RD × 3 = 20 × 6RA × 2
RA = 16 kN ……(2)RD = 24 kN ……(3)
The reaction values can be calculated as follows:
Then, we can plot the shear and moment diagrams as shown below: Therefore, the shear force and moment at x=3m is as follows: Shear force at x=3m = -34 kN
Maximum bending moment: Maximum bending moment occurs where the shear force is zero.
Bending moment at x=0 is zero
So, the bending moment at x=6m is zero
Therefore, the maximum bending moment occurs between x=3m and x=6m.Bending moment at x=3m is given by:
[tex]M = RA × x - 20 × x/2 - 10 × (x - 2) - RD × (x - 3)M = 16 × 3 - 20 × 3/2 - 10 × (3 - 2) - 24 × (3 - 3)M = 12 kN.m[/tex]
Therefore,
To know more about force visit:
https://brainly.com/question/30507236
#SPJ11
Provide an appropriate response, The data bolow are the temperatures on randomly chosen days duning the summer in one city and the number of employee absences din the sa Siltert oner a 133 b. 9 C 12 d. M
The best predicted value of y when x = 94 is 11.1
How to predict the best predicted value of y when x = 94from the question, we have the following parameters that can be used in our computation:
Temperature, x 72 85 91 90 88 98 75 100 80
Absencees, y 3 7 10 10 8 15 4 15 5
Using the least squares, we have the following summary
Sum of X = 779Sum of Y = 77Mean X = 86.5556Mean Y = 8.5556Sum of squares (SSX) = 736.2222Sum of products (SP) = 330.2222The regression equation is
y = mx + b
Where
m = SP/SSX = 330.22/736.22 = 0.44854
b = MY - bMX = 8.56 - (0.45*86.56) = -30.26773
So, we have
y = 0.44x - 30.27
When x = 94, we have
y = 0.44 * 94 - 30.27
y = 11.1
Hence, the prediction is 11.1
Read more about line of best fit at
brainly.com/question/31894011
#SPJ4
Question
Provide an appropriate response, The data bolow are the temperatures on randomly chosen days duning the summer in one city and the number of employee absences
Which is the best predicted value of y when x = 94
Temperature, x 72 85 91 90 88 98 75 100 80
Absencees, y 3 7 10 10 8 15 4 15 5
Which compound is ionic? a)ICl b)HClO_4
c)NCl_3
d)MgSO_4
The compound that is ionic is d) MgSO4 (magnesium sulfate).
Ionic compounds are formed by the complete transfer of electrons from a metal to a non-metal. To determine which compound is ionic among the given options, we need to consider the elements involved.
a) ICl: This compound consists of iodine (I) and chlorine (Cl). Both elements are non-metals, so ICl is not ionic.
b) HClO4: This compound consists of hydrogen (H), chlorine (Cl), and oxygen (O). Although hydrogen can sometimes form ionic compounds, chlorine and oxygen are non-metals. Therefore, HClO4 is not ionic.
c) NCl3: This compound consists of nitrogen (N) and chlorine (Cl). Both elements are non-metals, so NCl3 is not ionic.
d) MgSO4: This compound consists of magnesium (Mg) and sulfate (SO4). Magnesium is a metal, and sulfate is a polyatomic ion. Therefore, MgSO4 is an ionic compound.
Therefore, the correct answer is d) MgSO4.
To learn more about “hydrogen” refer to the https://brainly.com/question/24433860
#SPJ11
What king of population growth equation is more likely appropriate in a downtown area, where available lands are limited and expensive? Why?
The logistic population growth equation is more likely appropriate in a downtown area where available lands are limited and expensive.
The logistic growth equation takes into account the carrying capacity of a given area, which is the maximum population size that the environment can sustain. In a downtown area with limited and expensive land, the carrying capacity is inherently restricted. As the population approaches the carrying capacity, available space becomes scarce and costly, leading to reduced birth rates, increased competition for resources, and limited opportunities for population expansion. These factors constrain the population's growth rate.
The logistic growth equation is represented as: dN/dt = rN[(K-N)/K]
Where:
dN/dt represents the rate of change in population size over time,
r represents the intrinsic growth rate of the population,
N represents the current population size,
K represents the carrying capacity.
The logistic growth equation is more suitable for a downtown area due to the limited and expensive land available. It accounts for the constraints imposed by the carrying capacity and reflects the dynamics of a population reaching its maximum sustainable size. This model helps to understand how the interplay between population size and available resources influences growth rates, providing valuable insights for urban planning, resource allocation, and sustainable development in downtown areas.
To know more about population, visit;
https://brainly.com/question/29885712
#SPJ11
During testing of a new type of membrane filter for the treatment of drinking water, bacteriophage concentrations of 10 mL-1 and 10 mL-1 were measured in the raw surface water and treated water, respectively. Calculate the following: (1) the percent reduction, (2) the corresponding log reduction values and (3) briefly discuss the advantages and disadvantages of using a membrane technology to provide disinfection compared to the current use of chlorine in drinking water treatment plants.
1) The percent reduction is 0%.
2) The log reduction value is 0
The percent reduction can be calculated by subtracting the bacteriophage concentration in the treated water from the bacteriophage concentration in the raw surface water, dividing that difference by the bacteriophage concentration in the raw surface water, and then multiplying by 100.
(1) To calculate the percent reduction:
Step 1: Subtract the bacteriophage concentration in the treated water from the bacteriophage concentration in the raw surface water:
10 mL-1 - 10 mL-1 = 0 mL-1
Step 2: Divide the difference by the bacteriophage concentration in the raw surface water:
0 mL-1 / 10 mL-1 = 0
Step 3: Multiply the result by 100 to get the percent reduction:
0 * 100 = 0%
Therefore, the percent reduction is 0%.
(2) The corresponding log reduction values can be calculated using the formula log₁₀(initial concentration/final concentration).
To calculate the log reduction values:
Step 1: Divide the bacteriophage concentration in the raw surface water by the bacteriophage concentration in the treated water:
10 mL-1 / 10 mL-1 = 1
Step 2: Take the logarithm base 10 of the result:
log₁₀(1) = 0
Therefore, the log reduction value is 0.
(3) Using a membrane technology for disinfection in drinking water treatment plants has several advantages and disadvantages compared to the current use of chlorine.
Advantages of using membrane technology:
- Membrane filtration can effectively remove bacteria, viruses, and other pathogens from the water, providing a higher level of disinfection compared to chlorine alone.
- Membrane technology does not introduce any chemicals into the water, making it a safer and more environmentally friendly option.
- Membrane filtration can remove larger particles, sediments, and turbidity from the water, improving the overall water quality.
Disadvantages of using membrane technology:
- Membrane filtration requires regular maintenance and cleaning to prevent fouling and clogging, which can increase operational costs.
- Membrane technology may not effectively remove certain contaminants, such as dissolved chemicals or heavy metals, which may require additional treatment methods.
- The initial cost of implementing a membrane filtration system can be higher compared to the use of chlorine.
Overall, the use of membrane technology for disinfection in drinking water treatment plants can provide a more comprehensive and reliable method of removing pathogens and improving water quality. However, it is important to consider the specific needs and limitations of each treatment method when deciding on the most appropriate approach.
Learn more about percent reduction:
https://brainly.com/question/30523998
#SPJ11
P1: B v A
P2: C⊃B
P3: B⊃A P4: ~A
C: ~(~BvC)
Valid or Invalid
The argument presented in the statement is a valid argument
How to determine the validity of the argument?In logic and semantics, the term statement is variously understood to mean either:
A meaningful declarative sentence that is true or false, Or a proposition.The given arguments are
P1: B v A
P2: C⊃B
P3: B⊃A
P4: ~AC: ~(~BvC)
From P1: B v A, B is set in opposition to A. But in P3: B⊃A it is stated that if B is true, then A must also be true. But in P2: C⊃B, it is said that if C is true, then B must also be true.
These implies that ~(~BvC), For the negation of either ~B or C. SinceP2: C⊃B implies that C must be true for B to be true, then the possibility of C being false and focus on B.
Substitute ~A for B in P1: B v A, and then substitute B for ~A in P3: B⊃A, which results in A being true.
This implies that if A is true, then ~B must also be true, and the conclusion ~(~BvC) is valid.
Learn more about logical statement on https://brainly.com/question/14458200
#SPJ4
How much would $400 invested at 9% interest compounded continuously be
worth after 3 years? Round your answer to the nearest cent.
A(t) = P•e^rt
$400 invested at 9% interest compounded continuously would be worth about $529.32 after 3 years.
The exponential function formula used in continuous compounding is A(t) = Pe^(rt), where A(t) is the total amount after t years, P is the principal amount, r is the annual interest rate, and e is the constant e (approximately 2.71828).
The formula for finding the amount of money earned from continuously compounded interest is A = Pe^(rt).
In the formula, A is the total amount of money earned, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time (in years).The amount of money earned in three years from a $400 investment at a 9% interest rate compounded continuously is given by the equation:
A(t) = Pe^(rt)
Given that the principal P is $400, the interest rate r is 9%, and the time t is 3 years, we can substitute these values into the formula and simplify:
A(t) = 400*e^(0.09*3)
A(t) = 400*e^(0.27)
A(t) ≈ $529.32
Rounding to the nearest cent, the answer is $529.32.
Therefore, $400 invested at 9% interest compounded continuously would be worth about $529.32 after 3 years.
For more such questions on interest, click on:
https://brainly.com/question/29451175
#SPJ8
A vertical tank 4 m diameter 6 m high and 2/3 full of water is rotated about its axis until on the point of overflowing.
How fast in rpm will it have to be rotated so that 6 cu.m of water will be spilled out. (Express in two decimal places)
When the tank is rotating at the angular velocity that brings it on the point of overflowing, the height of the water will be 2 meters.
To solve this problem, we need to determine the angular velocity at which the tank is rotating such that it is on the point of overflowing.
First, let's calculate the volume of the tank when it is 2/3 full.
Given:
Diameter of the tank (d) = 4 m
Height of the tank (h) = 6 m
The radius of the tank (r) can be calculated as half the diameter:
r = d/2 = 4/2 = 2 m
The volume of a cylinder is given by the formula: V = πr^2h
The volume of the tank when it is 2/3 full is:
V_full = (2/3) * π * r^2 * h
Now, let's calculate the maximum volume the tank can hold without overflowing. When the tank is on the point of overflowing, its volume will be equal to its total capacity.
The total volume of the tank is:
V_total = π * r^2 * h
The difference between the total volume and the volume when the tank is 2/3 full will give us the volume of water needed to reach the point of overflowing:
V_water = V_total - V_full
Next, we need to find the height of the water when the tank is on the point of overflowing. We can use a similar triangle approach:
Let x be the height of the water when the tank is on the point of overflowing.
The ratio of the volume of water to the volume of the tank is equal to the ratio of the height of water (x) to the total height (h):
V_water / V_total = x / h
Substituting the values, we have:
V_water / (π * r^2 * h) = x / h
Simplifying, we find:
V_water = (π * r^2 * h * x) / h
V_water = π * r^2 * x
Equating the expression for V_water from the two calculations:
π * r^2 * x = V_total - V_full
Substituting the values, we have:
π * (2^2) * x = π * (2^2) * 6 - (2/3) * π * (2^2) * 6
Simplifying, we find:
4 * x = 4 * 6 - (2/3) * 4 * 6
4 * x = 24 - (2/3) * 24
4 * x = 24 - 16
4 * x = 8
x = 2 m
Therefore, when the tank is rotating at the angular velocity that brings it on the point of overflowing and When the tank is on the point of overflowing, the height of the water will be 2 meters.
To more about velocity, visit:
https://brainly.com/question/80295
#SPJ11
In the following integrals, change the order of integration, sketch the corresponding regions, and evaluate the integral both ways. 1 S S [²12² (a) (b) (c) (d) xy dy dx π/2 сose 0 [ 1²³² cos Ꮎ dr dᎾ (x + y)² dx dy [R a terms of antiderivatives). f(x, y) dx dy (express your answer in
a) Integral: ∫₁₀ ∫₁ₓ xy dy dx = 365/4. b) Integral: ∫₀π/2 cosθ dr dθ = b. c) Integral: ∫₁₀ ∫₁²⁻y (x + y)² dx dy = 285/3. d) Incomplete without specific values and function f(x, y).
To change the order of integration, sketch the corresponding regions, and evaluate the given integrals:
a) For ∫₁₀ ∫₁ₓ xy dy dx, we first integrate with respect to y from y = 1 to y = x, and then integrate with respect to x from x = 0 to x = 10. The resulting integral is evaluated using the antiderivatives of xy.
b) For ∫₀π/2 cosθ dr dθ, we integrate with respect to r from r = 0 to r = 1, and then integrate with respect to θ from θ = 0 to θ = π/2. The integral can be evaluated using the antiderivatives of cosθ.
c) For ∫₁₀ ∫₁²⁻y (x + y)² dx dy, we integrate with respect to x from x = 1 to x = 2-y, and then integrate with respect to y from y = 0 to y = 10. The integral is evaluated by substituting the antiderivatives of (x + y)².
d) For ∫ᵇₐ ∫ₐy (x, y) dx dy, we integrate with respect to x from x = a to x = b, and then integrate with respect to y from y = a to y = x. The integral is evaluated using the antiderivatives of the function (x, y).
Please note that the specific calculations and evaluation of the integrals require further information, such as the actual values of a, b, or the given function (x, y).
To learn more about Integral click here
brainly.com/question/31433890
#SPJ11
Complete Question
In the following integrals, change the order of integration, sketch the corresponding regions, and evaluate the integral both ways.
a) ∫¹₀ ∫¹ₓ xy dy dx
b) ∫₀π/2 cosθ dr dθ
c) ∫¹₀ ∫₁²⁻y (x + y)² dx dy
d) ∫ᵇₐ ∫ₐy (x, y) dx dy
express your answer in the terms of antiderivatives.
Incorrect Question 3 You left a bowl of refried beans in the refrigerator too long. One day your roommate opens the fridge and it smells like rotten egg (due to generated hydrogen sulfide, H₂S). You immediately run to the store to purchase activated charcoal to remove the odor. From a quick search online you learn that the linear partitioning coefficient is 24 m³/kg. Assuming that the refrigerator volume is 0.5 m³, the initial odor concentration is 2.6 ug/m³, and the final concentration is 0.2 µg/m³, calculate the minimum mass of adsorbent (in g) you need to purchase. Enter your final answer with 2 decimal places. 20.83 0/2.5 pts A
The mai Activated charcoal is used to remove odor from air by adsorption. Adsorption is a process in which gas or liquid molecules adhere to the surface of a solid or liquid. The minimum mass of adsorbent needed to remove the odor is 20.83g.
The adsorbent is the substance that adsorbs another substance. It adsorbs the odor-causing molecules in this scenario. We need to calculate the minimum mass of adsorbent needed to remove the odor given that the linear partitioning coefficient is 24 m³/kg, the initial odor concentration is 2.6 ug/m³, and the final concentration is 0.2 µg/m³. The formula to calculate the minimum mass of adsorbent needed is.
m_adsorbent =
(V_odour * (C_i - C_f)) / (K * rho * P)
Where, V_odour = volume of the odor-containing airC_
i = initial concentration of the odourC_
f = final concentration of the odourK =
linear partitioning coefficientrho =
density of the adsorbentP =
packing factorGiven that, V_odour =
0.5 m³C_i =
2.6 ug/m³C_f =
0.2 µg/m³K =
24 m³/kgP = 1
To know more about process visit:
https://brainly.com/question/24604048
#SPJ11
Zoologists and studying the population of trout fish in a lake. The function f (t) = 490 (0.96)^t represents the number of trout in the lake after t years. What is the yearly percent change?
The yearly percentage change in the population of trout fish in the lake is -4%.
Zoologists are scientists who study animal life and animal behavior, and they would be interested in studying the population of trout fish in a lake.
Zoologists can use mathematical models to help them understand how the population of fish is changing over time and what factors might be influencing these changes.
The function f(t) = 490(0.96)t represents an exponential decay function, where the initial value of the function is 490, and the common ratio of the function is 0.96.
Since we want to find the yearly percentage change, we need to find the percentage change for one year, which is given by the formula: P = ((f(t + 1) - f(t))/f(t)) × 100
Here, P represents the percentage change, f(t + 1) represents the value of the function after one year, and f(t) represents the initial value of the function.
Substituting the given values in the formula:
P = ((490(0.96)t+1 - 490(0.96)t)/490(0.96)t) × 100P = (490(0.96)t × (0.96 - 1)/490(0.96)t) × 100P = -4%
Therefore, the yearly percentage change in the population of trout fish in the lake is -4%.
For more questions on percentage
https://brainly.com/question/24877689
#SPJ8