Answer:
12
Step by Step Explanation:
f(n+1) = 2f(n) + 10
a = 2, k = 10
a + k = 2 + 10 = 12
It would take greater than 31.25 hours for Tim's price to be better. So in terms of whole hours it would take at least 32 hours of work for Tim's price to be better.
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Answer:
1
Step-by-step explanation:
(⅔)(¾) + ½
½ + ½
= 1
Step-by-step explanation:
the patern (3n - 1) is incorrect,
the correct pattern should be
Tn = n² + 1
