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Marta_Voda [28]
3 years ago
6

N/5 + -6 = 9 What is n ?

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0
Answer: 75

work: n/5 + -6 = 9
n/5 = 9+ 6
n/5 = 15
n = 15 x 5
n= 75
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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

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r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

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V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

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so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
Baker, Inc. uses the sum-of-the-years’-digits method to depreciate a $79,600.00 piece of equipment that has an estimated life of
Anastasy [175]

The book value at the end of year 2 of the equipment depreciated using the sum-of-the-years’-digits method is $65,560.

<h3>What is the book value at the end of  year 2? </h3>

Depreciation is a method used to expense the cost of an asset. Book value is the cost of the asset less the accumulated depreciation.

Sum-of-the-year digits = (remaining useful life / sum of the years ) x  (Cost of asset - Salvage value)

Depreciation expense in year 1:

Sum of the years = 1 +2 +3 +4 + 5 + 6 + 7 + 8 + 9 + 10+ 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210

Undepreciated life of the asset = 20

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19 / 210 x ($79,600 - 4,000) = 6840

Book value = 79600 - 7200 - 6840 = $65,560

To learn more about depreciation, please check: brainly.com/question/25552427

5 0
2 years ago
If the sum of three consecutive integers is 36, what is the smallest of these integers?
DedPeter [7]
Let the three consecutive equals:
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sum:
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5 0
4 years ago
Multiple Choice<br> Evaluate.<br> 1. -59 - 6 for g=-2 (1 point)<br> A.4<br> B.16<br> C.10<br> D.-13
Sergeeva-Olga [200]
Answer: A. 4

Im in high school this is simple math so. Your welcome
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4 years ago
Read 2 more answers
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iVinArrow [24]

Answer:

{y,x} = {7,-1}

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5 0
3 years ago
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