Answer:
Step-by-step explanation:
The volume of a sphere is

We are told our volume is 500pi/3, so we fill that in and solve for r:

Start by multiplying both sides by 3 over 4 pi:

Simplifying gives us

Take the cubed root of both sides to get that
r = 5
Answer:
F; A translation of 6 up and 4 left and a reflection across the x-axis
Step-by-step explanation:
Here, we want to perform the translation that would move S to S’
to do this, we can have a subtraction
For 1 to move to -3 on the x-axis;
it means there is a leftward shift of upto 4 units
For -8 to turn to 2;
this is positive; there is a vertical upward translation of upto 10 units on the y-axis
This option is not directly available; thus we have to factor the reflection
if we reflect on the x-axis, the y-axis value becomes negated; if we reflect on the y-axis, the x-value becomes negated
The correct answer is thus;
A translation of 6 up and 4 left, followed by a reflection across the x-axis
Answer:
D :)
Step-by-step explanation:
Answer: 0.04 miles
SOLUTION
Given,
Average daily distance of a garden = 0.05 mile.
Distance traveled on day 1 = 0.2 times as far as the average
distance
= 0.2 x 0.05 miles
= 0.01 miles
Distance traveled on day 2 = 0.6 times as far as the average
distance
= 0.6 x 0.05 miles
= 0.03 miles
Total distance traveled in two days
= Distance traveled on day 1 + Distance traveled on day 2
= 0.01 miles + 0.03 miles
= 0.04 miles