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:
118°
Step-by-step explanation:
the angle measures of a triangle will always add up to 180
so..
42+20=62
180-62=118
Answer:
Hence MAD=0.8
Step-by-step explanation:
<u>MAD-</u>
MAD is also known as Mean Absolute Deviation.
We find MAD by the following steps:
- Firstly we find the mean of the data
- Then we subtract each entry from the mean to obtain the deviation
- Then find the absolute value of the deviation which is also known as absolute deviation.
- Finally we find the mean of the absolute deviation.
Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.
The absolute deviation is given as:
1 3 1 0 0 1 0 0 1 1
The mean of this is calculated as:
Hence, MAD=0.8
Answer:
The answer is 45.
Step-by-step explanation:
60% of a number is 54, find the original number
54 ÷ 60%
= 54 ÷ 60/100
= 54 * 100/60
= 90
50% of 90 is
90 * 50%
= 90 * 50/100
= 90 * 1/2
= 45
Answer:
it is 2 and 6 (D)
Step-by-step explanation:
same side , same angle , something like that can help you remember which ones are corresponding
