Express the limit as a definite integral on the given interval.

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

9514 1404 393

Answer:

$\displaystyle\int^5_2 {(3x^3-7x)} \, dx$

Step-by-step explanation:

The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.

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The tea chest needs to send the sales tax that it has collected to the state. The total sales, including 4% sales tax are $7115.

Elina [12.6K]

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$284.62 or $284.63 (depending on how lenient your teacher is with rounding)

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3 years ago

When angles are complementary, the sum of their measures is 90 degrees (meaning the two angles add up to 90). The two complement

Alinara [238K]

Answer:

x=22

The measure of the angle 2x-10 is 34 degrees.

The measure of the angle 3x-10 is 56 degrees.

Step-by-step explanation:

What you first want to do is add both of the equations up so that they equal 90 which would look like 2x-10+3x-10=90 next add up all like terms to get 5x-20=90. Now you want to add 20 on both sides to get 5x by itself which leaves you with 5x=110. Now you want to isolate x by dividing by 5 on both sides to finally get x=22.

To find the measure of the other two angles you want to simply plug in 22 as the value of x in each so you get 2(22)-10=34 and 3(22)-10=56.

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3 years ago

The area of a rectangle is 4y + 10.

galben [10]

By definition, the area of a rectangle is given by:
$A = (w) * (l)
$
Where,
w: width
l: long
We then have the following area:
$A = 4y + 10
$
Factoring the area we have:
$A = 2 (2y + 5)
$
Therefore, according to the definition, two possible dimensions of the rectangle are:
$w = 2

l = 2y + 5$
Answer:
The area of the rectangle in factored form is:
$A = 2 (2y + 5)
$
One possible set of dimensions for this rectangle is:
$w = 2

l = 2y + 5$

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3 years ago

HELP!!! Evaluate 8^P7

nikklg [1K]

The correct answer is B. 40,320

Explanation:

In mathematics, a permutation refers to all the possible ways of arranging objects or elements in a set, while still considering an order. For example, you can calculate all the possible ways 5 athletes can end in a race as one athlete cannot have both the first and third place. The expression ${8}$ $P_{7}$ shows a permutation because the P indicates the expression refers to a permutation. Additionally, this can be solved by using the formula ${n}$ $P_{r}$ = $\frac{n!}{(n-r)!}$ . This means, in the expression presented n = 8 while r = 7. Also, the symbol (!) indicates the number should be multiplied using all whole numbers minor to the given number until you get to 1, which is known as factorial functions. The process is shown below: