Which statements are true? Mark all that apply. A If y3 5 27, the value of y is 3. B If y3 5 64, the value of y is 4. C If y3 5 1, the value of y is 1. D If y3 5 16, the value of y is 2.

A If y³ = 27, the value of y is 3. B If y³ = 64, the value of y is 4. C If y³ = 1, the value of y is 1

Step-by-step explanation:

Which statements are true? Mark all that apply. A If y³ = 27, the value of y is 3. B If y³ = 64, the value of y is 4. C If y³ = 1, the value of y is 1. D If y³ = 16, the value of y is 2.

Solution:

a) y³ = 27

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛27

y = 3

Option A is correct

b) y³ = 64

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛64

y = 4

Option B is correct

c) y³ = 1

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛1

y = 1

Option C is correct

d) y³ = 16

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛16

y = 2.52

Option D is wrong

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.