<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
In this problem we know the equation of a line, which is:
We also can write this equation as:
The slope of this line is 
which is the slope of the line we are looking for because they're parallel. We also have a point 
. Therefore, we can write this equation as follows:
From the figures below, the line in red is while the line in blue is 
and this line passes through the point (-5, -3)!
Answer:
19
Step-by-step explanation:
(7-5+2)=4
4/4= 1
1 x 10= 10
10 + 9= 19
First solve x³=9x
We can ignore x = -3 because it is not in the first quadrant.
<span>So our integral is going to go from x=0 to x=3.
</span>
<span>Now we can use the formula
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![\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx \\\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx \\\pi\int\limits_{0}^{3}(81x^2-x^6)dx \\2\times \int\limits_{0}^{3}[\pi(9x)^2-\pi(x^3)^2]dx \\\pi\left[81\frac{x^3}{3}-\frac{x^7}{7}\right]_{0}^{3} \\ \\\frac{2916\pi}{7}](https://tex.z-dn.net/?f=%5Cint%5Climits_%7B0%7D%5E%7B3%7D%28%5Cpi%20%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%29dx%0A%5C%5C%5Cint%5Climits_%7B0%7D%5E%7B3%7D%28%5Cpi%20%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%29dx%0A%5C%5C%5Cpi%5Cint%5Climits_%7B0%7D%5E%7B3%7D%2881x%5E2-x%5E6%29dx%0A%5C%5C2%5Ctimes%20%5Cint%5Climits_%7B0%7D%5E%7B3%7D%5B%5Cpi%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%5Ddx%0A%5C%5C%5Cpi%5Cleft%5B81%5Cfrac%7Bx%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E7%7D%7B7%7D%5Cright%5D_%7B0%7D%5E%7B3%7D%20%5C%5C%20%5C%5C%5Cfrac%7B2916%5Cpi%7D%7B7%7D)
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Answer:
Step-by-step explanation:
Sales tax is a percentage of the amount of the item. If Mr. Brooks is paying 6% tax on an item that costs $850, not only is he paying 100% of the cost of the item, he's paying another 6% on top of that. So we can say that he is paying 106% of $850, which in equation form, is
850(1.06) = ???
The amount that he will pay after adding in tax of 6% is $901
Answer:
The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:
24 electricians -> 36 days
32 electricians -> x days
We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:
The 32 electricians are expected to finish the job in 27 days.
