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3 years ago

What is the best deal on packing boxes?

1 answer:

3 0

A would be 8/5 which is about 160 cents each, B would be 7/12 which is about 58 cents each, C would be 10/24 which is about 42 cents each, D would be 17/36 which is about 47 cents each. So C would be the best deal

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Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (1 comma 0 ), (3 comma 2

Troyanec [42]

Answer: Volume = $\frac{20\pi }{3}$

Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = $\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx$

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

$V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy$

Since it is given points, first find the function for points (3,2) and (1,0):

m = $\frac{2-0}{3-1}$ = 1

$y-y_{0} = m(x-x_{0})$

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

$V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy$

$V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy$

$V=\pi \int\limits^2_0 {y^{2}+2y} \, dy$

$V=\pi(\frac{y^{3}}{3}+y^{2} )$

$V=\pi (\frac{2^{3}}{3}+2^{2} - 0)$

$V=\frac{20\pi }{3}$

The volume of the region bounded by the points is $\frac{20\pi }{3}$ .

6 0

4 years ago

2.06x-5.53+4.98-9.02

VashaNatasha [74]

2.06x-5.53+4.98-9.02

2.06x-9.57 Combine like terms

2.06x - 9.57 is your answer

7 0

3 years ago

Read 2 more answers

1. Eight is less than or equal to the quotient of a number and negative four.

Vladimir [108]

8≤x/4   8≤x/4 → 32≤x
*4 *4
-3x=x+4 --simplified→   -3x=x+4
-x -x
-4x=4 → x=-1
/-4 /-4
49/x≥7   49/x≥7 → x≥343

hope this helps

5 0

4 years ago

Which expression is equivalent to (2g^5)^3

lianna [129]

Answer is 8g^15
Pls mark me brainliest

3 0

3 years ago

Read 2 more answers

What are the possible coordinates of point A?

lina2011 [118]

There are two answers for this question:

(-6,10)

(-6,-10)

because it doesn't say which direction the units go, it could be either of them, therefore type both answers in the box.

4 0

3 years ago