Answer: hope it helps
Step-by-step explanation:
2 1/2 + x = 5 1/3
(2 + 1/2) + x = (5 + 1/3)
6x = 17
x = 17/
6
= 2.83333333
x = 17/
6
≈ 2.833333
[tex] \huge \underline{ \boxed{ \tt Solution: }}[/tex]
[tex] \tt \pink{\large\dagger} \: \: \: \: \: \: 2\dfrac{1}{2} + x = 5\dfrac{1}{3} \\ \tt : \implies \dfrac{5}{2} + x = \dfrac{16}{3} \\ \tt : \implies x = \dfrac{16}{3} - \dfrac{5}{2} \\ \tt : \implies x = \dfrac{16 \times 2}{3 \times 2} - \dfrac{5 \times 3}{2 \times 3} \\ \tt : \implies x = \dfrac{32}{6} - \dfrac{15}{6} \\ \tt : \implies x = \dfrac{32 - 15}{6} \\ \tt : \implies x = \dfrac{17}{6} [/tex]
[tex] \tt \pink{ \star \: Hence \: the \: answer \: is \: \dfrac{17}{6}.}[/tex]
Tennis balls with a diameter of 2.6 inches are sold in cans of three.
The can is a cylinder. What is the volume of the space NOT occupied
by the tennis balls? (Assume the tennis balls touch the can on all
sides, top and bottom.) Round to the nearest tenth and show all steps
and reasoning.
How can you tell if a formula represents Length, an Area, or Volume? What do you look for in
the formula?
Explain how you could get a formula for the volume of the
16 cm
solid.
Find the diagonal of the box, AD, using the Pythagorean
Theorem twice - 1. To find BD and 2. To find AD.
AB = 12 in
BC= 18 in
CD = 4 in
Show all steps for findin the diagonal of the box above using the formula instead of the
Pythagorean Theorem twice.
0
9
Diagonal of a box of
dimensions a, b, c
a2 + b2+c2 = d2
The volume of the solid is combined of a cone, cylinder, and hemisphere is
329.7 cubic cm.
What are the formulas for the volume of a cone, cylinder, and half of a sphere?The volume of a cone is (1/3)πr²h.
The volume of a cylinder is πr²h.
The volume of half a sphere or a hemisphere is (1/3)πr³.
The given figure has a volume combined of a cone, cylinder, and hemisphere.
∴ The volume of the solid is = (1/3)π(3)²×5 + π(3)²×(8) + (2/3)π(3)³ cubic cm.
= (47.1 + 226.08 + 56.52) cubic cm.
= 329.7 cubic cm.
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Find the missing values in the ratio table.
Answer:
Step-by-step explanation:
The second Yards box is:
3.33 repeating
The third Feet box is:
15
The fourth Feet box is:
21
3.5.PS-15
Question Help
Reasoning Kareem cannot decide which of two washing machines to buy. The selling price of each is $480. The first is
marked down by 50%. The second is marked down by 30% with an additional 20% off. Find the sale price of each washing
machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the
machines are the same except for the selling price.
The sale price of the first washing machine is $
(Round to the nearest dollar as needed.)
Answer:
$240the sale price on the first machine is lowerStep-by-step explanation:
Two washing machines are offered at $480, with one marked down 50% and the other marked down 30% and another 20% off. You want to know why the first machine has a better price, and what that price is.
First machineThe price after a 50% markdown is ...
$480 × (1 -50%) = $480 × 0.50 = $240 . . . first machine sale price
Second machineThe price after a 30% markdown is ...
$480 × (1 -30%) = $480 × 0.70
After the additional 20% markdown, the price is ...
($480×0.70) × (1 -20%) = $480 × 0.70 × 0.80
= $480 × 0.56 ≈ $269
Better dealThe first machine is a better deal, because The 50% markdown is off the original price.
The 30% markdown on the second machine is off the original price, but the additional 20% is off the reduced price. Hence the total markdown is not as great as on the first machine.
Ian is going to invest in an account paying an interest rate of 5% compounded continuously. How much would Ian need to invest, to the nearest hundred dollars, for the value of the account to reach $108,000 in 6 years?
The amount of money that Ian would need to invest to be able to make up to $108,000 in 6 years with an interest rate of 5% compounded continuously would be = $80,000
What is interest rate?Interest rate is the rate at which an individual receives a particular amount of money due to an investment made over a period of time.
The current value of account(A) = $108,000
The number of years for investment (t)= 6 years.
The interest rate(r)= 5% = 0.05 (in decimal).
Using the formula, A = Pe^rt
108,000 = P e ^ 0.05× 6
108,000 = Pe^0.3
108,000 = P × 1.3499
P = 108,000/1.3499
P = $80,000 ( approximated to the nearest whole number)
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The rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches. What is the area, in square inches, of the floor in the scale drawing?
The scale drawing's representation of the rectangle floor's circumference is 68 inches.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
P = 2L + 2W
W = 5
P = 2L + 2(5) = 16
2L + 10 = 16
2L = 6
L = 3 ft
Hence, The scale drawing's representation of the rectangle floor's circumference is 68 inches.
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I honestly don’t know what this means or how to do it can some one tell me?
Answer:
No solution.
Step-by-step explanation:
The question is asking how many solutions this has. For example:
1+2=x
x would be 3 and can only be 3, so this would have only one solution
Another example:
x>1
This is stating that x is greater than 1, which can be 2,3,4,5,etc. It goes infinitely long, which means It has infinite solutions.
One example of an equation having no solutions is:
x>3
x<1
This is stating that x is greater than 3, and that it's less than 1, which is impossible, aka no solution.
Process in image.
What’s the answer to this question
Answer: 1+1=7
Step-by-step explanation: wheres the question
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 5) What is the vertex of the function defined as g(x)=f(-x)-2
The vertex of a parabola is the point on the graph where the parabola reaches its highest or lowest point. In the case of a quadratic function, the vertex is always of the form (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.
The function g(x) = f(-x) - 2 can be obtained from the function f(x) by replacing all instances of x with -x and then subtracting 2 from the result. This transformation will flip the parabola over the y-axis and shift it down by 2 units.
The vertex of the parabola resulting from the function g(x) will be the point where the parabola reaches its highest or lowest point after this transformation. Since the parabola is flipped over the y-axis and shifted down by 2 units, the vertex of the resulting parabola will have the same x-coordinate as the original vertex (-6) and a y-coordinate that is 2 units lower than the original y-coordinate (5 - 2 = 3).
Therefore, the vertex of the function g(x) = f(-x) - 2 is (-6, 3).
welcome to this website
I hope this helps
1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
The Question is based on the concept of Linear Equations and its answer will vary as the values of x and y varies
What is Linear Equations?
A linear equation is an algebraic equation in which the unknown variable is represented by a linear combination of terms and constants. It is a mathematical expression that can be written in the form ax + b = c, where a, b, and c are constants, and x is an unknown variable. Linear equations can be used to describe and solve a variety of real-world problems, such as finding the cost of a product or the distance between two points. Linear equations are also used in the fields of calculus, geometry, and physics.
Here we will just take value of x = 1 and y = 2 to show how this works
putting these values in all 6 Linear Equations we will get that
2x+y = 2(1)+2= 2+2 = 4
similarly in other 5 Question.
3x+2y = 7
3y + 2x = 8
10x + 4y + 2x = 10 + 8 + 2 = 20
6y + 5x = 12 + 5 = 17
7x + 4y = 7 + 8 = 15
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Write each of the following expressions in the form Axmyn, where A is a real number and m and n are integers. 2x^2∙3yx^2
The simplified exponential expression for this problem is given as follows:
6x^4y.
How to simplify the expression?The exponential expression in this problem is defined as follows:
2x² multiplied by 3yx².
The first step to simplify the expression is multiply the numeric coefficients, as follows:
2 x 3 = 6.
Then:
2x² multiplied by 3yx² = 6x²yx².
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:
x²x² = x^(2 + 2) = x^4.
Thus the simplified exponential expression is presented as follows:
6x^4y.
As the variable y is elevated to exponent y and not multiplied, while there were two exponential terms with the variable x, which is why it was multiplied.
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2. A skydiver jumps from a plane from an altitude of 8000 ft. An observer on the ground measures the skydiver’s altitude at time t = 0 to be 7500 ft. The linear graph shows the skydiver’s altitude at various times during her descent.
(a) Identify the y-intercept. How does the y-intercept relate to the skydiver’s position relative to the ground? Explain.
(b) Determine the slope of the line. According to the slope, is the skydiver ascending or descending and what is the rate of ascent or descent? Explain.
(c) Identify the x-intercept. What does the x-intercept mean in this context? Explain.
(d) Write an equation for the line.
Answer:
Casho is deciding between two different movie streaming sites to subscribe to. Plan A
costs $22 per month plus $2 per movie watched. Plan B costs $13 per month plus $3
per movie watched. Let A represent the monthly cost of Plan A if Casho watches a
per month, and let B represent the monthly cost of Plan B if Casho watches a movies
per month. Write an equation for each situation, in terms of a, and determine the
number of monthly movies watched, x, that would make the two plans have an equal
monthly cost.
For x=9 movies, the costs of A and B are equal and the equation in terms of A is A=22+2x.
What is meant by an equation?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. For instance, an equation in French is described as having one or more variables, whereas in English, an equation is any properly written formula that consists of two expressions linked by the equals sign.
Determine which values of the variables result in the equality to be true in order to solve an equation with variables.
For plan A, cost is $22 and $2 per movie then, for x movies
A=22+2x
For plan B, cost $13 and $3 per movie then, for x movies
B=13+3x
The costs of A and B equal then,
22+2x=13+3x
x=9
For x=9 movies, the costs of A and B are equal and the equation in terns of A is A=22+2x.
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12. Which answer best describes the number of solutions for the following system of equations?
4x+y = 5
8x+2y = -6
A. 1 solution
B. 2 solutions
C. no solutions
D. infinitely many solutions
Answer: C. no solution
Step-by-step explanation:
4x+y=5 (1)
8x+2y=-6 (2)
Multiply both parts of the equation (1) by 2:
8x+2y=10
8x+2y=-6
The left-hand sides of the system of equations are equal to each other,
and the right-hand sides of the system of equations are not equal
to each other, hence, the system of equations has no solution
Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $15. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
The number of tiles must she purchase for the expense to be something similar at the two stores will be 30.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Margo can buy tile at a store for $0.79 per tile and lease a tile saw for $15. At one more store, she can acquire the tile saw free of charge assuming she purchases tiles there for $1.29 per tile.
Let 'y' be the total cost and 'x' be the number of tiles. Then the equation is given as,
y = 0.79x + 15 ...1
y = 1.29x ...2
From equations 1 and 2, then we have
1.29x = 0.79x + 15
0.5x = 15
x = 30
The number of tiles must she purchase for the expense to be something similar at the two stores will be 30.
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Kenneth is creating a chart to compare and contrast the different transformations of objects. He wants to show similarities and differences between translations, rotations, and reflections. In his chart, four statements are given. Which statements are true for a translation? Group of answer choices The distances between points on the polygon are preserved by the transformation. The orientation of points on the polygon is preserved by the transformation. The distance between corresponding points in the image and pre-image is constant. The angle measures between sides on the polygon are preserved by the transformation.
The statements that are true for a translation are:
The distances between points on the polygon are preserved by the transformation.
The distance between corresponding points in the image and pre-image is constant.
These statements are true for a translation because when an object is translated, it is shifted a certain distance in a certain direction. This means that the distances between points on the polygon remain the same and the distance between the corresponding points in the image and pre-image is constant.
Translation is the process of converting written, spoken, or visual information from one language into another. It is a complex process involving both linguistic knowledge and cultural understanding. Professional translators use a range of techniques to accurately convey the meaning of a text, including knowledge of grammar, syntax, and idiomatic expressions. Translators also take into account the cultural context of the text, ensuring that the translation reflects the same cultural references and nuances as the original. Translation can also refer to the conversion of DNA sequences from one form to another, such as from RNA to protein.
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not sure why its saying 109 is wrong as its the max
The Class limit of the data is shown below.
What is Frequency?Frequency tables or charts are used to represent frequency distributions. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.
Given:
From the data the class limit will be
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
class Boundary
44.5 - 54.5
54.5 - 64.5
64.5 - 74.5
74.5 - 84.5
84.5 - 94.5
94.5 - 104.5
104.5 - 114.5
Midpoint
49.5
59.5
69.5
79.5
89.5
99.5
109.5
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Evaluate the Riemann Sum for [tex]f(x)=sin^2x[/tex] if [tex]0\leq x\leq \frac{3\pi }{4}[/tex] with three equal subintervals, using right-hand endpoints as the sample points. Please help, need it for an exam
The value of f(x) =sin²x if 0≤x≤[tex]\frac{3\pi }{4}[/tex] using the Riemann sum is 0
How to use the Riemann sum to evaluate a function?By definition, the Riemann sum is a certain kind of approximation of an integral by a finite sum.
The given function is:
f(x) =sin²x if 0≤x≤3x/4
From the function, there are three sub intervals. The intervals include
n=3
a=0
b=[tex]\frac{3\pi }{4}[/tex]
The Riemann sum state that [tex]\frac{(b-a)}{n} =\frac{\pi }{4}[/tex]
C₁=[tex]\pi[/tex]/4
c₂=[tex]\pi[/tex]/2
C₃=[tex]\frac{3\pi }{4}[/tex]
The Riemann sum=[( [tex]3\pi[/tex]/4)-0]/3 = [tex]\pi[/tex]/4
When evaluated gives 12π=12π
Evaluate the function to get f(x)=0
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Write a rule for the translation of ABC to A’B’C’
Answer:
Below
Step-by-step explanation:
x,y => ( +4 , -3) because it is shifted 4 units to the right and down 3 units
In a mixture of concrete, the ratio of sand to cement is 1:4. How many bags of cement are needed to mix with 100 bags of sand?
bags of cement
The ratio of sand to cement is 1:4, which means that for every 4 units of cement, there are 1 unit of sand. If we let x represent the number of bags of cement, then the number of bags of sand is 4x.
We are given that there are 100 bags of sand, so we can set up the equation:
4x = 100
x = 100 / 4
x = 25
Therefore, 25 bags of cement are needed to mix with 100 bags of sand.
Hope this helps
a customer lunch cost $9.82 after tax if the customer wants to leave an 18% tip what will the total cost be
Answer:
$11.5876 (please give brainiest)
Step-by-step explanation:
9.82x1.18=11.5876
Help me with this question pleaseeee
Answer:
option b .....is answer
a study found that 15% of teenagers get the recommended 8 to 10 hours of sleep each school night. a guidance counselor at a large high school takes a random sample of 80 students and asks them if they get 8 to 10 hours of sleep each night of the school week. of the 80 students, 15 state they get 8 to 10 hours of sleep each school night. The P-value for the test of the hypotheses, H.;p=0.15 and H.:p#0.15, is 0.35. What is the correct interpretation of this value? 1115% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the sample proportion would be 0.19 by chance alone, If 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, then 35% of the teenagers in this sample got the recommended amount of sleep by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the true proportion of teenagers getting the recommended sleep is 0.15 by chance alone,
Previous question
The correct interpretation of the p-value of the hypothesis is given as follows:
If 15% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 15%, that is:
H0: p = 0.15.
At the alternative hypothesis, it is tested if the proportion is different of 15%, that is:
H1: p ≠ 0.15.
We have a two-tailed test, as we are testing if the proportion is different of a value, meaning that the p-value gives the probability of the sample proportion differing by 0.15 at least by the proportion that it differed.
The p-value of this test is given as follows:
0.35.
Hence the first option is correct.
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Use an open number line to find each difference:
93-36
Answer:
57
Step-by-step explanation: mental math.
16 x y can be 16y right????
Answer:
yes
Step-by-step explanation:
im assuming the "x" is multiplication so 16 x y is 16y
Using the time series data in the table, respond to the following items.Period Sales1 $ 1,001 2 1,129 3 841 4 1,044 5 1,012 6 703 7 682 8 712 9 646 10 686 11 909 12 469 13 566 14 488 15 688 16 675 17 303 18 381 Click here for the Excel Data Filed-1. Compute all possible forecasts using a trend forecasting model using simple linear regression? (Round your answers to 2 decimal places.)d-2. What is the MAD? (Round your answer to 2 decimal places.)d-3. What is the trend equation based on the regression analysis? (Round your answers to 2 decimal places.)e. What is the predicted annual change of industry sales? (Round your answer to 2 decimal places.)f. Predict sales for the next three periods. (Round your answers to 2 decimal places.)
Forecast Absolute is (d-1)
What is Forecast Absolute?
Absolute value refers to the fact that even a negative gap between the actual and anticipated demand turns positive. 25 divided by 4 equals 6.25, so. Since the demand error is not proportional, the MAD computation performs best when applied to a single product.
1026.62 25.62
990.38 138.62
954.15 113.15
917.91 126.09
881.67 130.33
845.44 142.44
809.20 127.20
772.97 60.97
736.73 90.73
700.49 14.49
664.26 244.74
628.02 159.02
591.78 25.78
555.55 67.55
519.31 168.69
483.07 191.93
446.84 143.84
410.60 29.60
(d-2) 111.15
(d-3) y = 1062.86 + (-36.24)*x
(e) decrease by 36.24
(f)
374.37
338.13
301.89
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Evaluate triple integral_W dx dy dz/(x^2 + y^2 + z^2)^3/2, where W is the solid bounded by the two spheres x^2 + y^2 + z^2 = a^2 and x^2 + y^2 + z^2 = b^2, where 0 < b < a.
The Triple Intergral of the given expression is [tex]4 \pi \times ln (\frac{a}{b})[/tex]
[tex]\int\limits \int\limits \int\limits_w \frac{dx dy dz}{(x^2 + y^2 + z^2)^{\frac{3}{2}}}[/tex]
[tex]\text{Where } x^2 + y^2 + z^2 = a^2 \text{ and } x^2 + y^2 + z^2 = b^2, 0 < b < a[/tex]
Changing to Spherical Coordinates
[tex]b \leq \rho \leq a, 0 \leq \theta \leq 2 \pi, 0 \leq \phi \leq \pi[/tex]
[tex]\therefore x^2 + y^2 + z^2 = \rho^2; dx dy dz = \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]
[tex]\implies \int\limits^a_b \int\limits^{2\pi}_{0} \int\limits^{\pi}_{0} \frac{1}{\rho^3} \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]
[tex]=\int\limits^a_b {\frac{1}{\rho}} \, d\rho \int\limits^0_{2\pi} d\theta \int\limits^{\pi}_0 \sin{\phi} \, d\phi[/tex]
[tex]= [ln \rho]^{a}_{b} [\theta]^{2\pi}_{0} [-\cos \phi]^{\pi}_{0}[/tex]
[tex]= [\ln a - \ln b] \times [2\pi] \times [- \cos \pi - (-\cos 0)][/tex]
[tex]= 2\pi \times 2 \times (\ln a - \ln b)[/tex]
[tex]= 4 \pi \, \ln{\frac{a}{b}}[/tex]
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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
Question 9
The approximate volume of Spaceship Earth is given as follows:
D. 2,350.878.75 cubic feet.
How to calculate the volume?We are given the circumference of Spaceship Earth, hence we can use it to obtain it's radius.
The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
At it's center, the Spaceship Earth is a circle, hence it's radius is calculated as follows, from it's circumference:
2πr = 518.1
r = 518.1/2π
r = 82.86 feet.
Now we consider that the entire Spaceship Earth has an spherical format, hence it's volume is given as follows:
V = (4/3)πr³.
Hence the volume in cubic inches is calculated as follows:
V = (4/3)π(82.86)³
V = 2,382,996.45 cubic feet.
Which is closest to option D.
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The satellite Space Explorer flies 82800 miles in 18 hours. Find the rate of change.
In linear equation, 4,600 mph is the rate of change.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
The satellite Space Explorer flies 82800 miles.
time = 18 hours
= 82800/18
= 4,600 mph.
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5. I bought (3) boxes of cereal that were on clearance for 20% off. My total bill was $6. What was. the original price of one box of the cereal?
Answer:
2 dollars 50 cents
Step-by-step explanation:
3 boxes = 6 dollars
1 box = 2 dollars
100 - 20 = 80
2 dollars = 80 percent
50 cents = 20 percent
2 dollars 50 cents = 100 percent
Rewrite sin(x - 5π/4) in terms of sin(x) and cos(x)
SOMEONE PLEASE HELP ME ANSWER THIS QUESTION ASAP
Answer:
593
Step-by-step explanation:
sana makatulong hindi ko sure