Answer:
Four billion, two-hundred seventy five thousand.
Answer:
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Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:

Rewrite 9 as 3² and rewrite the 3/2 exponent as square root to the power of 3:

<u>Integration by substitution</u>
<u />
<u />


Find the derivative of x and rewrite it so that dx is on its own:


<u>Substitute</u> everything into the original integral:

Take out the constant:











Learn more about integration by substitution here:
brainly.com/question/28156101
brainly.com/question/28155016
Consider the complete question is "Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j, where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?"
Given:
Total number of trees chopped by them = 
b = number of hours Ben spends chopping = 8
c = number of hours Cam spends chopping = 3
j = number of hours Justin spends chopping = 4
To find:
The numerical value of total number of trees chopped by them.
Solution:
Total number of trees chopped by them = 
Put
and
in the given expression.



Therefore, total number of trees chopped by them is 26.
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.