The volume of one cloud, in cubic kilometers, grows according to the expression 4^3x – 1, where x is time in hours. Another cloud grows according to the expression 8x. After how many hours will the two clouds have the same volume? What is their volume, in cubic kilometers?

x = ⅔ hr

V = 4 km³

Step-by-step explanation:

The volume of the first cloud is given as:

V1 = 4^(3x - 1)

The volume of the second cloud is given as:

V2 = 8^x

When the two clouds have the same volume, V1 = V2:

=> 4^(3x - 1) = 8^x

We can rewrite this as:

2^[2(3x - 1)] = 2^[3(x)]

=> 2^(6x - 2) = 2^(3x)

According to the law of indices, we can equate the powers because their bases are equal (2 is the base).

=> 6x - 2 = 3x

6x - 3x = 2

3x = 2

x = ⅔ hr

Hence, after 2/3 hr, their volumes will be equal.

To find the volume after 2/3 hr, we can use the equation of either cloud but let us use the equation for the second cloud for simplicity sake:

V2 = 8^(⅔)

V2 = 4 km³ or 4 cubic kilometers

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

the square root of what number? if you add that, then someone will probably answer the question.