Answer:
g[f(n)] = -8n+3
Step-by-step explanation:
Given,
g(n) = 2n + 5 , f(n) = -4n-1
Find g(f(n)),
Solutions,
g[f(n)] = g[-4n-1]
= 2(-4n-1) + 5
= -8n–2+5
g[f(n)] = -8n+3
Final Answer = g[f(n)] = -8n+3.
Answer: 24, 33
2.5, 4.75
9.5, 11.75
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 24 and 33
--> 24 < P < 33
Graph: O------------------O
24 33
Perimeter = 2w + 2L
It is given that L = w + 7
Substitute P with 2w + 2L and substitute L with w + 7
24 < 2w + 2(w + 7) < 33
24 < 2w + 2w + 14 < 33
10 < 4w < 19
--> 2.5 < w < 4.75
Graph: O--------------------------O
2.5 4.75
Since L = w + 7, then w = L - 7
Substitute P with 2w + 2L and substitute w with L - 7
24 < 2(L - 7) + 2L < 33
24 < 2L + 2L - 14 < 33
38 < 4L < 47
--> 9.5 < L < 11.75
Graph: O------------------------O
9.5 11.75
<em>NOTE: Make sure you use OPEN dots on the graphs.</em>
Answer: Volume=502.7 oz
Explanation: We need to find the volume of this cylinder to answer the question.
The general formula for the volume of a cylinder is V=πr^2h
Substituting gives us V=π*8*20, then V=160π and finally V=502.6548246 oz cubed
