Answer:
B
Step-by-step explanation:
To evaluate (f ○ g)(- 4), first evaluate g(- 4) then substitute this value into f(x)
g(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17, then
f(- 17) = 4(- 17) + 7 = - 68 + 7 = - 61 → B
Answer:
It's -3 mate
Step-by-step explanation:
I just did the test
Its a squared + xb squared = c squared so its 11 squared + 11 squared equals c squared. So I'm gonna take it down to the next step and say 11x11+ 11x11= c squared, then you end up with 121+121= c squared then you add those two and end up with 242= c squared, so then you find the square root of 242 so you should end up with 15.5 and the number goes on and on and on
9514 1404 393
Answer:
(9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Step-by-step explanation:
The area of the hexagon is given by the formula ...
A = (3/2)√3·s^2 . . . . for side length s
The area of the hexagonal face of this solid is ...
A = (3/2)√3·(2 ft)^2 = 6√3 ft^2
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The area of the circular hole in the hexagonal face is ...
A = πr^2
The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.
A = π(1 ft)^2 = π ft^2
Then the area of the "solid" part of the face of the figure is ...
A = (6√3 -π) ft^2
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The volume is ...
V = Bh . . . . . where B is the area of the base of the prism, and h is its height
V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3
what's up? to convert this into a fraction, simply multiply 12.3/1 by 10 in order to get 123/10. you can also do it by seeing .3 is in tenths, so it would be 3/10. you are left with 12 (whole number) so 12 3/10 which is also 123/10
best of luck with your studies