-q-7q=8
First you need to know that there is an invisible 1 in front of -q. Change it to -q if you need to. You get:
-1q-7q=8
add like terms: -1-7 gives you -8.
-8q=8. Divide by -8 on both sides to find q.
-8/8=-1
8/8=1
Therefore, q=1.
Answer:
480 cm^3
Step-by-step explanation:
Total volume is the sum of the volumes of the 3 cuboids.
Cuboid at the bottom:
V = l×b×h
V = 12 × 5 × 4 = 240
Both on top are identical.
Their height is 10-4= 6 cm
Each has volume = 5×4×6 = 120
Total Volume = 240 + 120 + 120
= 480 cm^3
Let the number of minutes be = x.
Cost per minute = 11 cents = 0.11
Phone Bill = Monthly fee + 0.11* x
Substituting from the question
20.82 = 3 + 0.11x
3 + 0.11x = 20.82
0.11x = 20.82 - 3
0.11x = 17.82
x = 17.82/0.11
x = 162
<span>Lamar was billed for 162 minutes.</span>
Answer:
1 ≥ t ≤ 3
Step-by-step explanation:
Given
h(t) = -16t² + 64t + 4
Required
Determine the interval which the bar is at a height greater than or equal to 52ft
This implies that
h(t) ≥ 52
Substitute -16t² + 64t + 4 for h(t)
-16t² + 64t + 4 ≥ 52
Collect like terms
-16t² + 64t + 4 - 52 ≥ 0
-16t² + 64t - 48 ≥ 0
Divide through by 16
-t² + 4t - 3 ≥ 0
Multiply through by -1
t² - 4t + 3 ≤ 0
t² - 3t - t + 3 ≤ 0
t(t - 3) -1(t - 3) ≤ 0
(t - 1)(t - 3) ≤ 0
t - 1 ≤ 0 or t - 3 ≤ 0
t ≤ 1 or t ≤ 3
Rewrite as:
1 ≥ t or t ≤ 3
Combine inequality
1 ≥ t ≤ 3
The answer would be 1017.88 in³. Use the volume for cones ( 1/3 times pi times radius times height) so 1/3*3.14*9*12 in which would be 1017.88 in³ hope it helps!
