Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

In this problem we have
----> the radius is half the diameter

assume 
substitute the values and solve for h


Answer:
The 3rd term is

Step-by-step explanation:
From the given information, the first term of the sequence is

The common ratio of the sequence is

The explicit formula for a geometric sequence is :

To find the third term, we put n=3 to get:

This simplifies to:

Answer:
<u>A. Nicholas will have to pay less using plan A</u>
<u>B. He will pay US$ 4 less than plan B</u>
Step-by-step explanation:
Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.
Plan A
Up to 10 hours = US$ 6
Every subsequent 1/2 hour: $1
10 hours + 14 (1/2 hour)
<u>Nicholas will pay 6 + 14 * 1 = US$ 20</u>
Plan B
Up to 12 hours = US$ 4
Every subsequent 1/2 hour: $2
12 hours + 10 (1/2 hour)
<u>Nicholas will pay 4 + 2 * 10 = 24</u>
Answer:
c
Step-by-step explanation:
1/(1/2)
2
y=2
Answer:
Multiples of 120 are 120, 240, 360, 480, 600, 720, 840 etc; Multiples of 150 are 150, 300, 450, 600, 750, 900 etc; Therefore, the least common multiple of 120 and 150 is 600.
Least common multiple (LCM) of 19600 and 19619 is 384532400.