Answer:
2.9 litres
or
2 14/15 litres
Step-by-step explanation:
To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours
Amount drank in an hour = total litres drunk / time
[tex]2\frac{1}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{11}{5}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{44}{15}[/tex] = 2[tex]\frac{14}{15}[/tex] litres
You and your friend decide to conduct a survey at your school to see whether students are in favor of a new dress code policy. Your friend stands at the school entrance and asks the opinions of the first 100 students who came to campus on Monday. You obtain a list of all students at the school and randomly select 60 to survey
Your friend finds 34% of his sample in favor of the new dress code policy, but you find only 16%. Which do you believe us more likely to be representative of the school population? Explain your choice.
Answer:
34% in favor of the new dress code
Step-by-step explanation:
Because it has a higher percentage and when there is only 16% of students that doesn't really prove the claim or statement. But, when there is more participating or voting that claim or statement is supported.
A formula of order 4 for approximating the first derivative of a function f gives: f'(0) - 0.08248 for h = 1 f(0) = 0.91751 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 0.17095 1.00177 0.97318 1.93645
The better approximation for f'(0) using Richardson's extrapolation is approximately 1.75254. So none of the options are correct.
Richardson's extrapolation is a technique used to improve the accuracy of numerical approximations by combining multiple estimates of a quantity. It is commonly applied in numerical analysis and computational mathematics.
To use Richardson's extrapolation, we can apply the formula:
[tex]f'(0) =\frac{2^p * f'(h) - f'(2h)}{2^p - 1}[/tex]
Given the values:
f'(0) = 0.08248 for h = 1
f'(0) = 0.91751 for h = 0.5
We can substitute these values into the Richardson's extrapolation formula:
[tex]f'(0) =\frac{2^1 * 0.91751 - 0.08248}{2^1 - 1}[/tex]
[tex]f'(0)= \frac{1.83502 - 0.08248}{1}[/tex]
[tex]f'(0)=1.75254[/tex]
Therefore, the better approximation for f'(0) using Richardson's extrapolation is approximately 1.75254.
None of the provided options (a, b, c, d) match this value, so none of them are correct.
The question should be:
A formula of order 4 for approximating the first derivative of a function f gives:
f'(0) = 0.08248 for h = 1
f'(0) = 0.91751 for h = 0.5
By using Richardson's extrapolation on the above values, a better approximation of f'(0) is:
a. 0.17095
b. 1.00177
c. 0.97318
d. 1.93645
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Math help me out this is tricky man hurry solve both
Answer:
1) a , b , c , e are ans....
2) a.F b.T c.F d.T
please help 6th grade math i will give brainliest
Answer:
8
Step-by-step explanation:
First add all the terms together.
[tex]8+7+5+9+6+13=48[/tex], so the total is 48.
Then you divide the total by the number of terms (which is 6) to get the mean.
[tex]\frac{48}{6}=8[/tex], so the mean is 8.
Let X be a set. Let P be a set of subsets of X such that: • Ø∉P • the union of all sets AEP is X. Note that these are clauses (a) and (c) of the definition of a partition (Definition 1.5). Now define a relation R on the set X by R={(x,y):x∈A and y ∈ A for some A ∈ P), as in Theorem 1.7(b). Which of the following is true? Select one: a. R must be symmetric and transitive but might not be reflexive. b. R must be an equivalence relation, but ( [x]_R : x∈X) might not be equal to P. C. R must be reflexive and transitive but might not be symmetric. d. R must be an equivalence relation, and ( [x]_R: x∈X) must equal P. e. R must be reflexive and symmetric but might not be transitive.
The following statement (d) "R must be an equivalence relation, and ([x]_R: x∈X) must equal P." is true
The relation R defined as R={(x,y):x∈A and y∈A for some A∈P} is an equivalence relation.
1. Reflexivity: Since the set P does not contain the empty set, Ø∉P, for any element x∈X, there exists a set A∈P such that x∈A. Therefore, (x,x)∈R for all x∈X, making R reflexive.
2. Symmetry: Let (x,y)∈R, which means there exists a set A∈P such that x∈A and y∈A. Since A is a subset of X, it follows that y∈A and x∈A as well. Hence, (y,x)∈R, and R is symmetric.
3. Transitivity: Let (x,y)∈R and (y,z)∈R, which means there exist sets A and B in P such that x∈A, y∈A, y∈B, and z∈B. Since the union of all sets in P is X, the union of A and B is also a set in P. Thus, x∈A∪B, and z∈A∪B. Therefore, (x,z)∈R, and R is transitive.
Since R is reflexive, symmetric, and transitive, it satisfies the properties of an equivalence relation.
Additionally, the equivalence classes ([x]_R: x∈X) of R are equal to the set P. Each equivalence class [x]_R represents a subset of X that contains all elements y∈X such that (x,y)∈R. In this case, for each x∈X, the corresponding equivalence class [x]_R is the set A∈P such that x∈A.
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An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
Answer:
22.5 pounds
Step-by-step explanation:
The computation of the weight of the block of gel is shown below:
As we know that
Volume = (length) (width) (height)
= (20) (6 ) (6)
= 720 cubic inches
Now we have to convert into cubic foot
As we know that
1 ft = 12 inches
So 1ft^3 = 12 inches^3
= 1728 inches ^3
Now
= 720 × 1 cubic foot ÷ 1728 cubic inches
= 5 ÷ 12
Now the weight is
= 54 × 5 ÷ 12
= 22.5 pounds
Give the characterisations for finito, ineinte, denumwable, cos weak then show that 22 is denumerable
1. Finite: A set is considered finite if it contains a specific number of elements. In other words, a set is finite if you can count its elements and reach a finite number. For example, a set containing {1, 2, 3} is finite because it has three elements.
2. Infinite: A set is considered infinite if it has an uncountable number of elements. This means that the set cannot be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). For example, the set of all integers {..., -3, -2, -1, 0, 1, 2, 3, ...} is infinite.
3. Denumerable: A set is denumerable (also called countable) if its elements can be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). In other words, a denumerable set has a countable number of elements. For example, the set of all natural numbers is denumerable.
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Gerald’s truck is in need of repairs totaling $3,000. Gerald is considering how he will pay for these repairs.
Hello again!
Answer:
The correct answer is B. 18 months.
Step-by-step explanation:
I just typed in "credit card payoff calculator" in g00gle, and it should be the first one you see.
That was the website I used to solve this problem. You can use that for other problems you need to solve too.
Hope this helps :)
Complementary of supplementary? Find the value of x
Answer: x=6
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.
Step-by-step explanation:
We know that on both 10 & 12 the angles add up to equal 90° so...
10. 8x+7x=90
15x=90
x=6
12. it's the same in pic as 10
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.
Suppose you waited 10 years to invest in the same retirement fund and have the same $400,000 for retirement at the same 8% interest. What amount will you have to deposit each month to match the value of your annuity?
Answer:
$7,196.42
Step-by-step explanation:
Using the compound interest formula to fins the amount after 10years;
A = P(1+r)^n
Principal P = $400,000
Rate r = 8% = 0.08
Time t = 10 years
Substitute
A = 400,000(1+0.08)^10
A = 400,000(1.08)^10
A = 400,000(2.1589)
A = 863,569.99
A ≈ 863,570
Hence the amount after 10 years is $863,570
Monthly deposit = $863,570/120 (10 years is equivalent to 120months)
Monthly deposit = 7,196.42
Therefore he will have to deposit $7,196.42 into his account monthly
Please help asaaap number 9
Answer:
The answer is 5 years
Step-by-step explanation:
50+(3x5)=65
75-(2x5)=65
What is the initial value and growth factor of Z = 8•3w and A =6(2.5)t
Answer: The initial value for Z= 8 * 3w is 8 and the growth factor for it is 3. The initial value for A= 6(2.5)t is 6 and the growth factor for it is 2.5.
Step-by-step explanation: Exponential growth equations.
4 - dictado audio you will hear a conversation. Listen carefully and write what you hear during the pauses. The entire conversation will then be repeated so you can check your work
According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.
What is the conversation about?To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.
Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.
Note: This question is incomplete. Here is the complete information:
Conversation:
Hello
Hello, How are you?
I am fine, and you?
i am fine too, What are you doing?
I am studing for an exam this week.
Oh, sorry I won´t distract you.
Don´t worry.
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What’s ’ Y = 1/2x + 4
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x + 4 ← is in slope- intercept form
Thus
y = [tex]\frac{1}{2}[/tex] x + 4 is the equation of a straight line
with slope m = [tex]\frac{1}{2}[/tex] and y- intercept c = 4
Assuming that 8 is a constant, solve the following problem for Laplace's Equa- tion in the upper half plane: PDE: 4x + y = 0, on - 0 a, and furthermore assuming that u(x,y) → 0 uniformly in x as y → 8.
The problem involves solving Laplace's equation in the upper half plane with the boundary condition given by the equation 4x + y = 0 on the line segment -0 ≤ x ≤ a. Additionally, it is assumed that the solution u(x, y) approaches zero uniformly as y approaches infinity.
Laplace's equation in two dimensions is given by ∇²u = 0, where u(x, y) is the unknown function and ∇² is the Laplacian operator. In this problem, we are specifically interested in solving Laplace's equation in the upper half plane.
To solve Laplace's equation in the upper half plane with the given boundary condition, we can use the method of separation of variables. We assume a solution of the form u(x, y) = X(x)Y(y) and substitute it into Laplace's equation. This leads to two separate ordinary differential equations, one for X(x) and one for Y(y).
Solving the equation for X(x), we obtain a solution in terms of x. Similarly, solving the equation for Y(y), we obtain a solution in terms of y. By applying the given boundary condition 4x + y = 0 on the line segment -0 ≤ x ≤ a, we can determine the specific form of the solution.
The assumption that u(x, y) approaches zero uniformly as y approaches infinity indicates that the solution must decay as y increases. This condition further constrains the form of the solution and allows us to determine the behavior of the solution as y approaches infinity.
By solving the separated differential equations and applying the boundary condition and the assumption of uniform decay, we can obtain the solution to Laplace's equation in the upper half plane with the given conditions.
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Point B has coordinates (1,2). The x-coordinate of point Ais - 11. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
please help me out here I really appreciate any answers
Answer:
ok
Step-by-step explanation:
Find the measures of the missing angles
Help pleaseee
Answer:
Nwm miałem to dawno powodzenia
A farmer has 600m of fencing to enclose a rectangular area and divide sections as shown. a) write a equation to express the total area enclosed as a function of the length x. I b) Determine the domain and the range of this area function.
The domain of the area function is 0 < x ≤ 300, and the range is A > 0. The total area enclosed by a rectangular fence, given a fixed amount of fencing, can be expressed as a function of the length of one side.
The domain and range of this area function depend on the constraints imposed by the amount of fencing available.
a) To express the total area enclosed as a function of the length x, we need to consider that the perimeter of a rectangle is twice the sum of its length and width. Since the farmer has 600m of fencing, we can write the equation:
2x + 2y = 600
Solving for y, we can express it in terms of x:
y = (600 - 2x) / 2
The area of the rectangle is given by the product of its length and width:
A = x * y = x * (600 - 2x) / 2
b) The domain of the area function is determined by the values of x that satisfy the constraints of the problem. Since x represents the length of one side of the rectangle, it must be positive (x > 0). Additionally, the sum of the lengths of all four sides must be less than or equal to the available fencing, which gives us the constraint: 2x + 2y ≤ 600.
The range of the area function represents the possible areas of the enclosed rectangle. Since both x and y are positive, the range is also positive.
Therefore, the domain of the area function is 0 < x ≤ 300, and the range is A > 0.
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PLEASE HELP THANKS
-----------------------------------
Answer:
the answer should be 25, 32 , 40
Step-by-step explanation:
it does not follow the Pythagoras theorem
good day mate
An engineer designs a structure that is is 21 feet long and 3
yards high. What is the ratio of length to height?
Answer:
7:3
Step-by-step explanation:
Convert one of the measurements to the other before attempting to solve the question.
1 yard = 3 feet
Multiply both sides by 3 to get:
3 yards = 9 feet
Therefore the ratio would be
21:9
Simplify to 7:3 length to height.
I Need Help ..
4. Evaluate the functions,
Let f(0) = 21-1 and 8(x) - 7-4 find
a. /(0)
b. S(1)
c. (-1)
en g(0)
f. 8(-2)
Answer: cos ( 390 ) − 4 cot ( − 45 ) sin (330 )
Step-by-step explanation: MAKE ME BRANLIEST!!!!!!
You are sailing North across the ocean from towards the port of -4=rs ( City A. Your navigation dashboard displays your ship's location at 4-ras (0,0) and port is at (-4, 4).
a. What is the distance between your ship and the port?
b. What bearing do you need to take to arrive at the port?
The distance between your ship and the port is approximately 8 units. To arrive at the port, you need to take a bearing of 135 degrees. In the given scenario, your ship's location is at coordinates (0,0), and the port is located at coordinates (-4, 4).
To find the distance between these two points, you can use the distance formula, which is the square root of the sum of the squares of the differences in x and y coordinates. In this case, the difference in x-coordinates is (-4 - 0) = -4, and the difference in y-coordinates is (4 - 0) = 4. Plugging these values into the distance formula, you get the square root of ((-4)²+ 4²) = sqrt(16 + 16) = sqrt(32) ≈ 5.66. Therefore, the distance between your ship and the port is approximately 5.66 units or rounded to 8 units.
To determine the bearing you need to take to arrive at the port, you can use the concept of trigonometry. The bearing is the angle between the direction you need to go and the north direction. In this case, the angle can be calculated using the inverse tangent function (arctan) of the ratio of the difference in y-coordinates to the difference in x-coordinates. The difference in y-coordinates is 4, and the difference in x-coordinates is -4. Taking the arctan(4 / -4), you get an angle of -45 degrees. Since the bearing is typically measured from the north direction in a clockwise manner, you need to add 180 degrees to obtain the bearing of 135 degrees. Therefore, you need to take a bearing of 135 degrees to arrive at the port.
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help pleaseee ! whoever’s answers first ill mark as brainylest
Answer: 4 is i think 0.2 an 5 is 10
Step-by-step explanation:
b=17-12
h=18-14
b=5cm
h=4cm
1cm=0.0328
b=5×0.0328
b=0.164 ft
c=4×0.0328
c=0.131 ft
Give me brainliesst plzzzzz
NEED HELP ASAP!!! At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64.
Let x be the cost of an adult ticket and let y be the cost of a child ticket. Write and solve a system of equations to find the ticket price for one adult and for one child.
Answer:
Step-by-step explanation:
2x+4y=48
5x+2y=64
Adult ticket: $10 Child ticket: $7
For 2 adults and 3 children with the given price per ticket, the family having brought $40 as a budget, their budget would not be high enough as the total would come to be $41. They'd be a dollar short.
A plane takes off and climbs steadily for 15 minutes until it reaches 30,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which takes 15 minutes at a constant rate
b. consider the following system, where you are applying a load p: mathematically, show which system is harder to tip over if a = 0.75b, b = 10, and c = 0.5a. assume both blocks have the same weight.
If we consider a system where block A has a length of 0.75 times block B's length, block B has a length of 10, and block C has a length of 0.5 times block A's length, we can determine which block is harder to tip over.
To analyze the stability of the system, we can compare the center of mass of each block relative to its base of support. The block with a higher center of mass is more likely to tip over.
For block A, its center of mass is located at a distance of 0.375 times its length from its base.
For block B, its center of mass is located at a distance of 5 units from its base.
For block C, its center of mass is located at a distance of 0.375 times block A's length from its base.
Comparing the distances, we see that block B has the highest center of mass at 5 units, making it easier to tip over compared to blocks A and C. Thus, in this system, block B is harder to keep stable and more prone to tipping over.
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Principal = $47,300 Rate = 3% Time = 4 months What will the total payment plus interest be?
Answer:
Simple Interest (I) = Principle * Rate * Time
so I = PRT
P = $47300
R = 3% = 0.03
T = 4months = 0.33years
so
Assuming its per year after 4month
I = (47300)(0.03)(0.333333)
I = 472.999527
I = $473
Now we'd add the interest(I) to the Principle
$47300 + $473 = $47773.00
Assuming it is per month, after 4months
I = PRT
I = (47300)(0.03)(4)
I = $5676.00
Now add the interest to the principle
$47300 + $5676 = $52976.00
Step-by-step explanation:
there you go hope this help
Can we conclude that racial profiling is being used? see es es ts ts. see O A. No, because the P-value is greater than the significance level. OB. Yes, because the P-value is greater than the significance level. O C. No, because the P-value is less than the significance level. OD. Yes, because the P-value is less than the significance level.
We cannot conclude that racial profiling is being used when P-value is greater than the significance level. Therefore, the correct option is A. No, because the P-value is greater than the significance level.
Racial profiling is a biased practice in which someone is targeted or suspected based on their ethnicity, nationality, religion, or race instead of their conduct. The aim of racial profiling is to decide whether someone is suspicious or not based on their racial identity. As a result, this technique frequently leads to unjustifiable detainment, searches, and arrests.
A p-value is a probability value used in hypothesis testing that aids in determining whether or not the null hypothesis should be rejected. The smaller the p-value, the more likely the test result is to be statistically significant. In other words, it is less probable that the null hypothesis is true.
Therefore, we reject the null hypothesis when the p-value is lower than the level of significance. In contrast, we accept the null hypothesis when the p-value is higher than the significance level.In summary, since the p-value is greater than the significance level, we cannot conclude that racial profiling is being used. Therefore, the correct option is A. No, because the P-value is greater than the significance level.
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Point A(4,5) is translated to the left 3 and up 5. What is A'?
Answer:
(7,10)
Step-by-step explanation:
x=4+3
y=5+5