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 for teardrop shape:
64.27
Step-by-Step Explanation:
I used the area calculators on Goggle
Answer for square:
5.7
Explanation:
The shape is a square, so all the sides are equal
5.7 + 6.8 = 12.5
x = 5.7
Answer for trapezoid:
76.95
Explanation:
Again, Goggle
Coordinate points on line(-3,-1) and (3,3)
Parallel lines have same slope
so
m = (3+1)/(3+3) = 4/6 = 2/3
Answer
B. 2/3
Answer:
Step-by-step explanation:
- The sum of a number n and 5 => n + 5
- Thrice the sum of a number n and 5 => 3(n + 5)
- At most means "less than or equal to", the sign of which is "≤"
<u>So, the inequality will be:</u>
3(n + 5) ≤ 100
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
E
Step-by-step explanation:
When you substitute (5,-19) for A you get -19=-21 which is incorrect, when you substitute it for B you get, -19=-13 which is also incorrect, for C you get -19=-14, D you get -19=-22, and finally for E you get the correct answer which is -19=-19. Hope this helps :)
