Can someone help me with this please

A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the

vovangra [49]

Answer: (A) $A=300l-l^{2}$

(B) Length varies between 1 and 150

(C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

$2l+2w=600$

Area of a rectangle is calculated as

$A=lw$

Now, we have a system of equations:

$2l+2w=600$

$A=lw$

Isolate w, so we have l:

$2w=600-2l$

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) Function of area in terms of length is given by A = 300l - l²

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

The largest area the fence can enclose is 22500ft².

4 0

2 years ago

Krutika was thinking of a number. Krutika adds 4 to it, then doubles it and gets an answer of 83.9. What was the original number

mr Goodwill [35]

Answer:37.95

Step-by-step explanation:

8 0

2 years ago

What is the slope M of the line passing through the coordinates (2,1) and (-3,5)

Stolb23 [73]

Answer:

the aswer is 4/-5 :)

Step-by-step explanation: (2,1) and (-3,5)

m=y2-y1

x2-x1

m= 5-1 4

-3-2 = -5

The slope is 4/-5 or- 0.8

Hope this help :)

7 0

3 years ago

Read 2 more answers

When an opinion poll selects cell phone numbers at random to dial, the cell phone exchange is first selected and then random dig

Sav [38]

Answer:

A

Step-by-step explanation:

When an opinion poll selects cell phone numbers at random to dial, the cell phone exchange is first selected and then random digits are added to form a complete telephone number. When using this procedure to generate random cell phone numbers, approximately 55%55% of the cell numbers generated correspond to working numbers. You watch a pollster dial 1515cell numbers that have been selected in this manner.What is the mean number of calls that reach a working cell number?A. 0.550.55B. 1515C. 8.258.25D. 3030

6 0

3 years ago

In testing the lethal concentration of a chemical found in polluted water. it is found that a certain concentration will kill 20

sasho [114]

Answer:

a) 0.1091

b) 0.9994

c) 0.5886

Step-by-step explanation:

X = the number of fish out of 20 that die after 24 hours

x = 0, 1, 2, . . . , 20

X~ Binomial (n= 20, p =0.20)

P(14 survive) = P(X = 6)

= $nC_r p^r q^{n-r}= 20C_6 0.2^6\times0.8^{14}$ =0.1091

Similarly we can find out

P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994

P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886

7 0

3 years ago