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just olya [345]
3 years ago
13

Choose the correct simplification of the expression (8x^2)^3.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0
The correct simplification is 512x^6
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A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle (in radians) between the strin
arlik [135]

Answer:

0.015 radians per second.

Step-by-step explanation:

They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.

Which we can calculate in the following way:

θ = arc sin 100/200 = pi / 6

Then we have the following equation of the attached image:

x / 100 = cot θ

we derive and we are left:

(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt

dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)

dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)

dθ / dt = 0.06 / (-2) ^ 2

dθ / dt = -0.015

So there is a decreasing at 0.015 radians per second.

3 0
3 years ago
URGENT
Lynna [10]
The answer would be A. 3 1/2.
Explanation
First find a common denominator, which would be 6. You times the top number the same amount of times you times the bottom number to get the common denominator, so now it's 1 4/6 + 1 5/6 now you add, 1+1=2, now you need to add 4 and 5 together, bc they are the top numbers of the fraction. That would be 9 so now the problem is 2 9/6, now we simplify the fraction so that it is 3 3/6 now that simplifies into 1/2 so the answer is 3 1/2
4 0
3 years ago
10 to the power of 4 as a decimal
Nonamiya [84]

Answer:

You treat it as 10^4 (the small number is the number of zeros. Therefore the answer is 10000. Or of you meant 10^-4. Its the same concept, just reversed. So the answer in this case is 0.0004.

Cheers! :)

3 0
3 years ago
Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height o
oee [108]

Answer is CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

7 0
4 years ago
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Which of the following statements cannot be proven to be true?​
MArishka [77]

Answer:

which statements is there meant to be a diagram? ?

6 0
3 years ago
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