Which expression is equivalent to following?
2 answers:
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Answer:
A.(-1,-1)
E.(4,64)
Step-by-step explanation:
We are given that
Function
We have to find all possible input-output pairs for the function.
Substitute x=-1
Then, the pair is (-1,-1)
Now, substitute x=-2
Then, pair is (-2,-8)
Now, substitute x=3
Now, substitute x=4
Now, substitute x=1
Then, y=1
Hence, Option A and E are true.
A.(-1,-1)
E.(4,64)
*see attachment for diagram
Answer:
Volume of new backpack = 1,299.84 in.³
Step-by-step explanation:
Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack
✔️Volume of the front pocket = volume of rectangular prism = L*W*H
L = 8 in.
W = 4 in.
H = 2 in.
Volume of the front pocket = 8*4*2 = 64 in.³
✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder
= L*W*H + ½(πr²h)
L = 12 in.
W = 10 in.
H = 7 in.
r = 6 in.
h = 7 in.
Plug in the values into the equation
Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)
= 840 + ½(791.68)
= 1,235.84 in.³
✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³
