An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available 3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? Assume that each sphere is filled to the top.

Answers

Answer 1

Answer: The volume of a sphere:
$V=(4)/(3) \pi r^3$
r - the radius

3392.92 cubic inches are poured into 30 spheres.
$3392.92=30 * (4)/(3) \pi r^3 \n \n3392.92=40\pi r^3 \ \ \ \ \ \ \ \ \ \ \ \ |/ 40 \n \n84.823=\pi r^3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ \pi \n \nr^3=(84.823)/(\pi) \n \nr=\sqrt[3]{(84.823)/(\pi)} \n \nr \approx \sqrt[3]{27} \n \nr \approx 3$

The diameter is twice the radius.
The diameter of each sphere should be approximately 6 inches.

Answer 2

Answer:

Answer:

6 inches

Step-by-step explanation:

correct on Plato/ edmentum courseware

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Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years.

Answers

Required number
= 1500*(1+2%)^4
=1624(cor.to.the nearest integer)

Which of the following occurs during the ecological succession of an ecosystem?A. An ecosystem reaches a final, unchanging stage.

B. Animals move out of the ecosystem until succession is complete.

C. Living organisms modify their environment a little at a time.

D. Parts of communities split off to form new communities.

Answers

The answer is c. Living organisms modify their environment a little at a time.

The purpose of succession is for an ecosystem to reach balance state right after it is formed or after it is disturbed by man or some disasters. It will increase biodiversity and help to prevent the desertification. Living organisms modify environment a little at a time. By modifying it, they make the environment more suitable for the new species to enter the community.

I think the correct answer from the choices listed above is option C. During an ecological succession of an ecosystem, what happens is that living organisms modify their environment a little at a time in order for them to survive. Hope this answers the question.

If you are paid $1,750 biweekly and Social Security is 6.2% of your income, then determine the amount of your Social Security deduction in each pay period.

Answers

$108.50 is deducted

Leaving you with $1,569.50

Answer:

108.50

Step-by-step explanation:

1750x.062(6.2%)=108.50

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos 5θ

Answers

Short answer. X axis. This is a teaching lesson intended to show you what the odd and even graphs look like.
Remark
You should always try to draw these kinds of questions using a graphing calculator or some sort of program on the internet that imitates a graphing calculator. Begin by looking at the diagram on the left. Are there any clues which one you should pick?

There are. Notice the "leaf" that's on the plus x axis. It looks the same on both sides of the x axis.

There are 4 other leaves. Do they confirm your suspicion? They should. The next leaf counter clockwise above the one on the x axis is the mirror image of the leaf that is next clockwise to the one symmetrical about the x axis. Those two are mirror images.

Comment
What would happen if you were give an even number of leaves? Try 4.
r = 5*cos(4 theta). Notice that 2n leaves are produced (2*4 = 8 in this case). Notice also that you have a symmetry for the origin.

Finally
If the topic interests you, go to desmos and try r = 5*sin(4*theta) and r = sin(5*theta). Are there any differences?

Remember to be working in polar coordinates in desmos.

Answer:

x-axis

Step-by-step explanation:

r=4 cos⁡5θ

∙Subsitute (r,-θ)in the given function

4 cos⁡〖5θ=4 cos⁡5(-θ) 〗,then r(θ)=r(π-θ)

∴Thus,it is symmetric about x-axis.

Since

4 cos⁡〖5θ≠-4 cos⁡5(π-θ) 〗

∴Thus,it is not symmetric about y-axis.

∙Since

4 cos⁡〖5θ≠-4 cos⁡5(π+θ) 〗

∴Thus,it is not symmetric about the origin

How do you find the discrimminant in algebra?

Answers

Step-by-step explanation:

the discriminant is the part of the quadratic formula underneath the square root symbol : b2 -4ac . the discriminant tells as whether there are two solutions ,one solution , or no solution....

Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour

Answers

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

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