Answer:
x = 12
Step-by-step explanation:
Given x varies as the cube root of y then the equation relating them is
x = k
← k is the constant of variation
To find k use the condition x = 6 when y = 8, thus
k =
=
=
= 3
x = 3
← equation of variation
When y = 64, then
x = 3 ×
= 3 × 4 = 12
Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)
use definition of logarithm
0.15 = ln(A / 1500)
0.15 = ln(A) - ln(1500)
ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387
Step-by-step explanation:
Answer:

Explanation:

<u>make the denominators same</u>

<u>join the fractions together</u>

<u>cross multiply</u>

<u>simplify</u>

<u>group the variables</u>

<u>use quadratic formula</u>

<u>simplify the following</u>

In order to figure out the horizontal distance Raymond travels using his zip cable, we may simply apply Pythagoras theorem which is, for a right triangle:
hypotenuse² = base² + height²
base = √(hypotenuse² - height²)
base = √(65² - 52²)
base = 39 yards
Raymond will travel a horizontal distance of 39 yards.
The answer to this question is c. Hope I was able to help