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tester [92]
3 years ago
15

Help please

Mathematics
1 answer:
ddd [48]3 years ago
8 0
Length of the box = 25 - 2x
Width of the box = 14 - 2x
Height of the box = x

a.) Volume of the box = x(25 - 2x)(14 - 2x) = x(350 - 50x - 28x + 4x^2) = 4x^3 - 78x^2 + 350x
Therefore, the function that models the volume of the box is V(x) = 4x^3 - 78x^2 + 350x

b.) 4x^3 - 78x^2 + 350x ≥ 240
4x^3 - 78x + 350x - 240 ≥ 0
x = 0.834, 5.438
The values of x for which the volume is greater than 240 in^3 is 0.834 ≤ x ≤ 5.438

c.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 156x + 350 = 0
x = 2.882910931

Therefore, maximum volume = 4(2.882910931)^3 - 78(2.882910931)^2 +350(2.882910931) = 453.798 in^3
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vekshin1

Answer: <em>w = 125</em>

Explanation: Since <em>w</em> is being divided by 5, to solve for <em>w</em>,

multiply both sides of the equation by 5.

On the left side, the 5's will cancel

and on the right side, 25(5) is 125.

So <em>w = 125</em>.

<u />

<u>Please do not do this problem in your head.</u>

Show the work that it takes to get <em>w</em> by itself.

3 0
3 years ago
At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of do
Inessa [10]
The 13 pound bag is 1/2 of the 26 pound bag so if 40 dogs eat that then 20 dogs will eat 13 pounds. 
 Your answer should be 20 dogs 
4 0
3 years ago
What is the surface area of a mini basketball with a circumference.of 25 and radius of 4
Nonamiya [84]
The formula to find the surface area of a sphere is A=4(3.14)r². So if you plug in the data you would get,
A=4(3.14)4²
A=(12.56) (16)
A=200.96
You mught want to check over it so you will be able to solve it for yourself the next time you have this question. 

4 0
3 years ago
Your turn: Use the triangle given. What is the value of sin Θ?
LekaFEV [45]
You can eliminate D right away. The sine is NEVER greater than one. That's because the denominator of the fraction is always the hypotenuse. 

The definition of the sine is 
Sin(x) = Opposite / hypotenuse.
Sin(x) = 10/26 = 5/13 The fraction reduces.

The answer is B
Done.
3 0
3 years ago
Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2. 90 –18 –45 63
seropon [69]

The value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

<h3>How to evaluate the expression?</h3>

The expression is given as:

5x – 2y + (7x – y)

Substitute x = 7 and y = –2 in the above expression

5 * 7 - 2 * -2 + (7 * 7 + 2)

Evaluate the expression

90

Hence, the value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

Read more about expressions at:

brainly.com/question/723406

#SPJ1

8 0
2 years ago
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