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faust18 [17]
3 years ago
6

One number is seven less than two times another. If their sum is increased by two, the result is one. Find the numbers.

Mathematics
1 answer:
qwelly [4]3 years ago
3 0
Your answer is 3. 3*2= 6 6-7= -1 and if -1 is increased by 2 you get 1. So the mystery number is 3 I hope this helps:)
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2
HACTEHA [7]

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

8 0
3 years ago
What is 3/4 improper or proper or mixed
kotegsom [21]

Answer:

proper because the numerator is lower than the denominator

3 0
3 years ago
I stumbled on this question
nadezda [96]
Q20) c < 82-76
c < 6
Hope this helps
4 0
3 years ago
Pls someone help with this!!! ASAP
andriy [413]
It would be 22 x 3.14 = 69.08 i’m pretty sure lolol sorry if i’m wrong
5 0
2 years ago
a 56 inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and a third pi
wolverine [178]
X + 3x + 4x = 56
8x = 56
x = 7

The shortest piece is 7 inches
The middle piece is 7*3 = 21 inches.
The longest piece is 4*7 = 28 inches

Check
7 + 21 + 28 = 56 It does check and the lengths are correct.
7 0
3 years ago
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