Answers
Answer:
25 ft^2
Step-by-step explanation:
In direct variation, if y varies directly with x, then the equation has the form
y = kx,
where k is the constant of proportionality. y is proportional to x.
Let's call the area y and the distance x.
Here, the area varies with the square of the distance, so the equation has the form
y = kx^2
Here, y is proportional to the square of x.
We can find the value of k by using the given information.
y = kx^2
When x = 20 ft, y = 16 ft^2.
16 = k(20^2)
k = 16/400
k = 1/25
The equation of the relation is:
y = (1/25)x^2
Now we use the equation we found to answer the question.
What is y (the area) when x (the distance) is 25 ft?
y = (1/25)x^2
y = (1/25)(25^2)
y = 25
Answer: 25 ft^2
Related Questions
Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answers
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
Which fraction has a repeating decimal as its decimal expansion?
Answers
.2727272727… the 27 just repeats forever
what are the coorrect ones?
Answers
Answer:
16:18
Step-by-step explanation:
4 * 4= 16
2*4=8
Therefore
The ratio is 16:8
Hope this helps
Have a nice day! :D
Give brainliest if possible pls :)
A football coach must order 9 new jerseys. The jerseys cost $23.79 each.
What is the total cost for the jerseys?
Answers
Answer:
9 x 23.79 = $214.11
Which is the missing factor that makes the equation true?
___ 1.1 = 0.22
A.0.02
B.0.2
C.2
D.20
Answers
The missing factor that makes the equation true is 0.2.
According to the question;
We are required to determine the missing factor that makes the equation ___ 1.1 = 0.22 true.Let the missing factor be represented as x.
x × 1.1 = 0.22In essence; by dividing both sides of the equation by 1.1; we have;
x = 0.22/1.1x = 0.2Read more:
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hhhhhhhhhhheeeellllpppppp me
Answers
Answer:
ooo acellus its A
Step-by-step explanation:
Pls help due in 10 minutes
Answers
Answer:
here is your answer hope it helps you
The sum of two numbers is −12.6 , identify two negative addends that make the statement true.
Answers
Answer:
–7.4 and –5.2
Solution:
–7.4 + –5.2 = –12.6
Message:
I hope this helps
which of the following is true of the angle shown
the measure of the angle is greater than 360
the angle is not in standard position
the terminal side of the angle lies in quadrant 2
the angle can be measured in radians only
Answers
Answer:
the angle is not in standard position
A gardener grows sunflowers and records the heights, y , in centimeters, each day, x . The table shows the gardener’s data.
Answers
Answer:
Explanation is in a file
Step-by-step explanation:
The equation that represents the relation in this situation is: y = 3x + 8
What equation does represent the relationships between x and y?The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).
This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).
Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?
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#SPJ3
Cual es el ángulo que equivale a 4 ángulos rectos?
Answers
ayus lng ako hahaha hshshs
solve pls brainliest
Answers
Answer:
162
Step-by-step explanation:
don't you have calculator app on your phone??
Answer:
bru its it 32 a
Step-by-step explanation:
At a charity fund-raiser, adult tickets were sold for $8 each and children's tickets were sold for $3 each. Write an algebraic
expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold
240 adult tickets and 378 children's tickets?
Answers
Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.
Also if those number of tickets were sold, the amount realized would be $3,054.
The total amount raised can be found as:
= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)
Assuming the adult tickets are x and the children's tickets are y, the equation would be:
= (x × 8) + (y × 3)
= 8x + 3y
If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:
= 8x + 3y
= (8 x 240) + (3 x 378)
= $3,054
In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.
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I need help with Special Right Triangles. Thanks :)
Answers
Answer: c
Step-by-step explanation:
sin(45) = [tex]\frac{12}{AB}[/tex]
sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]
so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]
[tex]AB = \frac{24}{\sqrt{2} }[/tex]
[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]
[tex]AB = \frac{24\sqrt{2} }{2}[/tex]
[tex]AB= 12\sqrt{2}[/tex]
Please give me a brainliest answer
[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]
What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?
Answers
Answer:
27 minutes
Step-by-step explanation:
(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 minThe product of the Roots of the quadratic equation 2x² + 5x - 7 = 0 is
Answers
Product = c/a = -7/2
long ans :
(2x + 7)(x-1) = 0
x = -7/2
x = 1
product = -7/2 • 1 = -7/2
Product of roots
[tex]\\ \sf \longmapsto \dfrac{c}{a}[/tex]
[tex]\\ \sf \longmapsto \dfrac{-7}{2}[/tex]
You have been directed to trim $10,000 from the monthly warehouse
told that you cannot reduce the costs for HVAC, refrigeration, and ligh
expense must be cut significantly?
A. Water
B. Copiers
C. Computers
D. Lights
Answers
Answer:
You have been directed to trim $10,000 from the monthly warehouse
told that you cannot reduce the costs for HVAC, refrigeration, and ligh
expense must be cut significantly?
A. Water
B. Copiers
C. Computers
D. Lights
A grocery store offers its customers A discount card that gives 15% off all purchases, p. The card costs $12 a year. What amount would a customer need to purchase each year to save money?
Answers
Step-by-step explanation:
customer need to purchase each year to save money = 100/15 × $12
= 1200/15
= $80
Answer:
More than $80Step-by-step explanation:
To save money, the customer needs to save the cost of the card first.
Solve it by ratios:
15% = 12100% = xSolve for x:
15x = 12*100x = 1200/15x = 80A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n have standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 0.75 inches, thus [tex]\mu = 0.75[/tex].Standard deviation of 0.04 inches, thus [tex]\sigma = 0.04[/tex]Sample of 36, thus [tex]n = 36, s = \frac{0.04}{\sqrt{36}} = 0.0067[/tex].The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:
[tex]z = \frac{0.02}{s}[/tex]
[tex]z = \frac{0.02}{0.0067}[/tex]
[tex]z = 2.99[/tex]
The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.
z = -2.99 has a p-value of 0.0014.
2(0.0014) = 0.0028
0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
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What is answer to 2 + 3m =
Answers
You can't really do anything with it cause it's fully simplified
Answer:
Nothing you can do because it is already simplified. So yea
Step-by-step explanation:
Compute the difference quotient
Answers
Answer:
Step-by-step explanation:
f(x) = -x^2+6x-2
-x^2+6x-2 here we use work sheets or log books
What is 41687 rounded to the nearest Highest Place
Answers
Answer:
40,000
Step-by-step explanation:
the table shows the number of weeks of vacation employees receive each year based in the number of years they have been employed what does v(15)=5 mean in terms of the problem
Answers
Answer:
A worker with 15 years of service gets 5 weeks of vacation each year.
Step-by-step explanation:
4th option
Moly has 83.50 in her savings account.she deposits 15 every week
Answers
Answer:
she will spend 5 weekings taking out mobey and with 13.50 left over
Step-by-step explanation:
anyone have the answer?
Answers
Answer:
50.3 (rounded) I think? Could be wrong, however, it's what I got
or security reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If the bounding side of the building is 150 m long and 300 m of fencing will be used, what will be the dimensions of the rectangular area?
Answers
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
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Estimate and then solve 3397÷59
Answers
3397 round down to 3300
59 round up to 60
3300 / 60 = 55
Solved :
3397/59 = 57.5762712
3 3/4 × 2 10/11 Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
10 10/11
Step-by-step explanation:
Answer:
10 10/11
Step-by-step explanation:
3 3/4 × 2 10/11
15/4 * 32/11
480/44
120/11
10 10/11
given the right triangle ABC with the altitude BD drawn to hypotenuse………. please help asap i’ve failed this so many times
Answers
Answer:
plz mark me as a brainliest
Does the following system of equations
have one, none, or infinite solutions?
-4x + y = 6
-5x – y = 21
Answers
Answer:
Iv'e checked both of them and they have NO solutions so nyour answer is (None)
Step-by-step explanation: