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klasskru [66]
3 years ago
8

Which shows the integers in order.

Mathematics
2 answers:
Igoryamba3 years ago
5 0
The answer A shows the integers from greatest to least
luda_lava [24]3 years ago
5 0
A shows the integers from greatest to least
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A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u
OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

\displaystyle\frac{8000\pi\sqrt{2}}{3}

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

x^2+y^2=15^2\to y=\sqrt{225-x^2}

Then we set the integral for the volume by using shell method:

\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx

That can be solved by substitution:

u=225-x^2\to du=-2xdx

The limits of integration also change:

For x=5: u=225-5^2=200

For x=15: u=225-15^2=0

So the integral becomes:

\displaystyle -\int_{200}^{0}\pi \sqrt{u}du

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

\displaystyle \int_{0}^{200}\pi u^{1/2}du

Then applying the basic rule we get:

\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}

Since that is just half of the solid, we multiply by 2 to get the complete volume:

\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}

=\displaystyle\frac{8000\pi\sqrt{2}}{3}

5 0
4 years ago
1. Find the slope of a line passing through (56, 67) and (-12, -50)
fomenos

Answer:

117/78

Step-by-step explanation:

(-50-67)/(-12-56)=-117/-78=117/78

5 0
3 years ago
She has 11 small bottles of sanitizer she wants to divide equally among 3 large containers
EleoNora [17]

Hello! To solve this exercise we have to divide the amount of the bottles by the number of containers, look:

\frac{11}{3}\cong3.\bar{6}\bar{6}

So, each recipient (container) has to receive the content of 3.66 bottles of sanitizer, approximately.

3 0
1 year ago
Evaluate... k/2 + 9 = 30
Simora [160]

Answer:

K = 42

Step-by-step explanation:

K/2 = 21

2* k/2 =2*21

k=42

4 0
4 years ago
Read 2 more answers
Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original
Kryger [21]
Figure 2 and 4. The translation method was used . Figure 2 was moved to the right and enlarged. They’ve still maintained the same shape however only enalarged.
Figure 4 has only decreased in size.


Please mark as a brainliest will be much appreciated
8 0
3 years ago
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