<h3>
Answer: f ' (x) = 4x</h3>
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Work Shown:
f(x) = 2x^2 + 5
f ' (x) = d/dx[ 2x^2 + 5 ]
f ' (x) = d/dx[ 2x^2 ] + d/dx[ 5 ]
f ' (x) = 2*d/dx[ x^2 ] + d/dx[ 5 ]
f ' (x) = 2*2x^1 + 0
f ' (x) = 4x
The volume of aggregate that she needs to build the patio is 13.18 ft^3
<h3>How many cubic feet of aggregate would she need to build the walkway?</h3>
We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.
Rememeber that:
1ft = 12 in
Then:
4 in = (4/12) ft = (1/3) ft
Then the volume of the backyard is:
V = (14ft)*(6ft)*(1/3 ft) = 28ft^3
Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.
Note that:
4 + 4.5 = 8.5
How many times we have 8.5 in 28?
28/8.5 = 3.294
Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:
4*3.294 ft^3 = 13.18 ft^3
The volume of aggregate that she needs to build the patio is 13.18 ft^3
If you want to learn more about volumes:
brainly.com/question/1972490
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Step-by-step explanation:
yes because 61 is less than 87
Answer:
7 /24 inch per hour
Step-by-step explanation:
To find the average amount of rain, take the total amount of rain and divide by the time
7 inches / 24 hours
7 /24 inch per hour