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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Answer:
x = -2
Step-by-step explanation:
2x + 1 + 3 = 0
2x + 4 = 0
x = -2
Answer:
4.25
Step-by-step explanation:
Take your cost and divide it by the number of tickets.
55.25/13 = 4.25
21.25/5 = 4.25
No matter which pair you use, the answer is 4.25
People often draw hypothesis in research. Based on executing the test in Question 5, We reject the null hypothesis; the mean delivery time is different for every day of the week.
<h3>Why do we reject the null hypothesis?</h3>
Note that if the p-value of an experiment (Like the one above) is less than or found to be equal to the significance level of your test, one can reject the null hypothesis.
By that, we known that the data is in favors the alternative hypothesis. Hence the results gotten by you are statistically significant. If your p-value is found to be greater than your significance level, you then fail to reject the null hypothesis.
Learn more about hypothesis from
brainly.com/question/11555274
Firstly, multiply both sides by S: 
Next, divide both sides by X, and <u>your answer will be 
</u>
