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
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Answer: 9 lb of fresh tomatoes
6 c peeled chopped cucumbers
3 c chopped red bell peppers
3 c chopped red onions
6 small jalapenos
6 garlic cloves
1 1/2 olive oil
6 limes, juiced
12 tsp balsamic vinegar
12 tsp Worcestershire sauce
3 tsp cumin
6 tsp salt
1 1/2 tsp black pepper
12 tsp basil
I really hope this helps.
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
From the given information:
At 95% Confidence interval level,Level of significance
0.05, the value of Z from the standard normal tables = 1.96
Margin of Error = 0.10
Let assume that the estimated proportion = 0.5
therefore; the sample size n can be determined by using the formula: 


n = 96.04
n
96
Answer:
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle add up to 180°, therefore we have:
Smallest angle = x
Largest angle = 7x
Third angle = 7x - 15
Now, we can solve for x, using the following equation:
x + 7x + 7x - 15 = 180
15x = 180 + 15
15x = 195
x = 195/15
x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
27,950 k * X Kilometers
_____________________________ All you have to do now is cross multiply
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