The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let w represent the width, hence:

length = w + 33, height = w - 13

Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w

V(w) = w³ + 20w² - 429w

Rate of change = dV/dw = 3w² + 40w - 429

When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423

When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118

Rate = 10118 - 5423 = 4695 in³/in

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

Find out more on equation at: brainly.com/question/2972832

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4 0

1 year ago

Can you identify what the polynomial is?

Marina CMI [18]

Answer:

are you sure its a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

5 0

2 years ago

Evaluate 16•32•53 what does this mean ?

stira [4]

It means 16 x 32 x 53

5 0

2 years ago

Mr. West estimated a mass to be 265g, but upon carefully measuring it, found the actual mass to be 240g. What was the percent er

spayn [35]

Answer:

<h3>The answer is 10.42 %</h3>

Step-by-step explanation:

The percentage error of a certain measurement can be found by using the formula

$P(\%) = \frac{error}{actual \: \: number} \times 100\% \\$

From the question

actual mass = 240 g

error = 265 - 240 = 25

So we have

$p(\%) = \frac{25}{240} \times 100 \\ = 10.41666666...$

We have the final answer as

Hope this helps you

8 0

2 years ago