Answer:
a) 30 inches × 30 inches × 30 inches
b) 27,000 inches³
c) 14,130 inches³
d) 12,870 inches³
Step-by-step explanation:
Edge of the cube = diameter = 30 inches
Volume of cube = s³
30³ = 27000 inches³
Radius = 30/2 = 15
Volume of sphere:
(4/3) × 3.15 × 15³
14130 inches³
Difference:
27000 - 14130
12870 inches³
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
: $55
:
Cost first 3 lines: $11 per line
Cost per additional line: $5
We are interested in 5-line ad, we place 3 lines or less, then we have to pay $11 per line in the ad.
Cost 5-lines = number of lines x cost per line
x = 5 x 11
55
<h3>
Answer: D) 31</h3>
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Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
Improper 7/4 and mixed number 1 3/4
