Please help due in 10 minutes

A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using chain-link fencing that costs $5.5

kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0

3 years ago

Select the correct answer.

IceJOKER [234]

Answer: Option D. y+2x=3

Solution

If a line with a slope of -2:

Slope: m=-2

crosses the y-axis at (0,3):

(0,3)=(0,b)→b=3

What is the equation of the line?

y=mx+b

Replacing the known values:

y=-2x+3

Adding 2x both sides of the equation:

y+2x=-2x+3+2x

y+2x=3

4 0

3 years ago

Mrs. Lewis had $100 to purchase school supplies for her class. She bought 40 glue sticks and 40 boxes of crayons. Each glue stic

Bess [88]

Mr. Lewis | 100$
Glue = 1.50$ (x40)
Box = 0.89$ (x40)

1.50 x 40 = 60$
0.89 x 40 = 35,6$
Total spend (95,6$)

100 - 95,6 = 4,4$

Answer: 4,4$

8 0

2 years ago

Each bag of Skittles is supposed to have at least 30 Skittles. A machine that fills bags has a 0.005 probability of under fillin

telo118 [61]

Answer:

The standard deviation for the number of bags that are underfilled is 2.236.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The variance is the same as the mean, which mean that the standard deviation is the square root of the mean.

In this question:

Expected number of underfilled bags in a sample of n bags is:

$\mu = 0.005*n$

1000 bags, so

$\mu = 0.005*1000 = 5$

Standard deviation $S = \sqrt{5} = 2.236$

The standard deviation for the number of bags that are underfilled is 2.236.

5 0

2 years ago

Hello I need help on this math question ignore the circled answer just give me the correct answer thankyou :)

zepelin [54]

Answer:

Thus option C ...Maya wrote x/y^3 is correct

8 0

1 year ago