Answer:
Simplifying
8x + 17 = 137
Reorder the terms:
17 + 8x = 137
Solving
17 + 8x = 137
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + 8x = 137 + -17
Combine like terms: 17 + -17 = 0
0 + 8x = 137 + -17
8x = 137 + -17
Combine like terms: 137 + -17 = 120
8x = 120
Divide each side by '8'.
x = 15
Simplifying
x = 15
We have the following equation:
V = kr ^ (2) h
For cylinder A we have:
251.2 = k * ((4) ^ (2)) * (5)
Let's clear k:
k = 251.2 / (((4) ^ (2)) * (5))
k = 3.14
For cylinder B we have:
V = 3.14 * ((3) ^ (2)) * (9)
V = 254.34 in ^ 3
Answer:
the volume of cylinder B is:
V = 254.34 in ^ 3
Given that the tornado traveled 260 miles in 4 hours, its initial speed is 65 mi/h. Then, slowing by 20% every hour, the speed after 2 hours can be calculated through the equation,
speed = (65 mi/h) x (1-0.2)^2
speed = 41.6 mi/h
Thus, the speed of the tornado after 2 hours is approximately 41.6 mi/h.
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Answer:
-2a + 20b - 2c
Step-by-step explanation:
(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a
= 6a - 8a + 5b + 15b + 4c - 6c
= -2a + 20b - 2c
