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AnnZ [28]
3 years ago
8

M(x)=−(x−5) 2 +25m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, squ

ared, plus, 25 What is the maximum possible number of mosquitoes?
Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

25

Step-by-step explanation:

Given the function that represents the amount of mosquitoes as;

M(x) = -(x-5)² + 25

To get the maximum mosquitoes possible, we need to first find x;

At the maximum dM/dx = 0

dM//dx = -2(x-5)

0 = -2(x-5)

-2(x-5) = 0

-2x + 10 = 0

-2x = -10

x = 10/2

x = 5

Substitute x = 5 into the function;

M(5) = −(5−5)² +25

M(5) = 0+25

M(5) = 25

Hence the maximum number of mosquitoes is 25

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Step-by-step explanation:

3 0
3 years ago
What is the unit price for a piece of cheese if 1.24 pounds costs $11.25?
Luba_88 [7]

Answer:

$9.07 per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

$11.25/ 1.24

$9.072580645 per pound

Rounding to the nearest cent

$9.07 per pound

7 0
3 years ago
Use a calculator to approximate the measure of the acute angle A to the nearest tenth of a degree. sin A = 0.7793
Aleksandr [31]

The measure of acute angle A to the nearest tenth of a degree is 51.2°

<h3>Measure of angles</h3>

From the given information, we are to determine the measure of the angle.

The angle we are to determine its measure is acute angle A

From the given information, we have that

sin A = 0.7793

Thus,

A = sin⁻¹(0.7793)

Using calculator

A = 51.1965°

A ≅ 51.2°

Hence, the measure of acute angle A to the nearest tenth of a degree is 51.2°

Learn more on Calculating measure of angles here: brainly.com/question/9171516

#SPJ1

7 0
2 years ago
Pls remember to give your answer in metres
spin [16.1K]
Answer: 500m

Explanation:
If the scale of the drawing is 1:500 then the real playground should be 500:1 which is 500m
5 0
3 years ago
What is the solution to the equation 5x = 40?
Dima020 [189]
To find X, we can divide 5 into 40.
40 divided by 5 is 8.
Now we can do 5 x 8. That is 40.

X=40

OR we can do it another way.
40 divided by 5 is 8.
Cross out 5 divided by 5.

Now we have 8. Still.
X is 8
7 0
3 years ago
Read 2 more answers
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