MATHEMATICS HIGH SCHOOL

Which equation finds the volume of a cube with a side length of 6n^6 units? a. (2n^6)^3 = 8n^16 cubic units
b. (2n^6)^3 = 2n^18 cubic units
c. 2(n^6)^3 = 2n^18 cubic units
d. 2(n^6)^3 = 6n^18 cubic units

Answers

Answer 1

Answer:

Answer:

Option A is correct that is $(2n^6)^3=8n^(18)$ cubic units

Step-by-step explanation:

We are given with length of the side of the cube = $2n^6\:units$

We need to find volume of the cube.

We know that Volume of cube = ( side )³

= $(2n^6)^3$

= $2^3(n^6)^3$

we use the law of exponent, $(x^a)^b=x^(ab)$

= $8n^(6*3)$

= $8n^(18)$ cubic units

Therefore, Option A is correct that is $(2n^6)^3=8n^(18)$ cubic units

Answer 2

Answer: I hope this helps you

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In at least 100 words independently write your response to the statement, "Anyone can do well in math."

Answers

Answer:

I believe that this is true. Anyone can do well in math, not everyone. The main difference being that if EVERYone could, that means every one person in the world, no matter the circumstance, so by saying ANYone, it's saying that however many people in the world want to do it, can do it, if they try and put in the work. Math is not biased against any one person, nor is it favored for any one person. Any person who studies, or learns it can do well in math. Someone who has never learned anything about math will not do well at all. So, yes, ANYone can do well, but not EVERYone.

Not 100 words, but should do trick if you just add in some extra words between phrases, and substitute some words with one or two synonyms.

Natalie wants to measure the width of a river. She marks off two right angles, as shown in the figure. The base of the larger triangle has a length of 58m, and the base of the smaller triangle has a length of 26m. The height of the smaller triangle is 21.3m. How wide is the river? Round your answer to the nearest meter.

Answers

Given:
Larger Triangle : base = 58 m ; height = x
Smaller Triangle: base = 26 m; height = 21.3 m

x:58 = 21.3:26
26x = 58*21.3
26x = 1,235.4
x = 1,235.4 / 26
x = 47.515

The river is 48 meters wide.

What is a slope of a line that passes through the points -2,5 and 1,4

Answers

so the formula is y2-y1 divided by x2-x1 so the answer would be -1/3

How do you factor x4-x3-7x2-x+6?

Answers

$x^4-x^3-7x^2-x+6=x^4-x^3-6x^2-x^2-x+6=\n \n=x^2(x^2-x-6)-(x^2-x-6)=(x^2-1)(x^2-x-6)=\n \n=(x-1)(x+1)(x^2-3x+2x-6)=\n \n=(x-1)(x+1)[x(x-3)+2(x-3)]=(x-1)(x+1)(x-3)(x+2)$

If m + 4n = 2n + 8m ; what is the ratio of n to m ?a) 1:4, b) 1:-4, c) -4:1, d) 2:7, e) 7:2

Answers

m + 4n = 2n + 8m

To answer the ratio, massage this equation around to find ' n/m ' .

Let's subtract 'm' from each side:

4n = 2n + 7m

Subtract '2n' from each side:

2n = 7m

Divide each side by 'm' :
2 (n/m) = 7

Divide each side by 2 :

n/m = 7/2 . . . . . there's your ratio. That's choice-'e'.

$m + 4n = 2n + 8m\n 7m=2n\n m=(2)/(7)n\n\n (n)/(m)=(n)/((2)/(7)n)=(7)/(2)$