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s344n2d4d5 [400]
3 years ago
7

What is the inverse of y = 2x^2 – 8?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0
y = 2x^2 - 8 \\ 2x^2 = y + 8 \\ x^2 = \frac{y+8}{2}  \\ x = \sqrt{\frac{y+8}{2}}  \\  f^{-1} (x)=\sqrt{\frac{x+8}{2}}
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Heeeeeelp meeeee pleassseeee D:
gregori [183]
V=hpir^2

A.
divide both sides by pir^2
\frac{V}{\pi r^2} =h

B.
use \frac{V}{\pi r^2} =h
given
V=32π
r=2
\frac{32\pi}{\pi (2^2)} =h
\frac{32\pi}{4\pi} =h
8=h
height is 8 inches


6 0
3 years ago
Period 1 has 15 students in it and a test average of 86%. Period 2 has 21 students in it and an average of 88%. Period 3 has 12
STatiana [176]
Add all of the percents up and then divide by 3. You get 89.6% 
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4 years ago
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7 0
4 years ago
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A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 250 cubic feet. The concrete f
Galina-37 [17]

Answer:

the dimensions of the most economical shed are height = 10 ft and side 5 ft

Step-by-step explanation:

Given data

volume = 250 cubic feet

base costs = $4 per square​ foot

material for the roof costs =  ​$6 per square​ foot

material for the sides costs = ​$2.50 per square foot

to find out

the dimensions of the most economical shed

solution

let us consider length of side x and height is h

so we can say x²h = 250

and h = 250 / x²

now cost of material  = cost of base + cost top + cost 4 side

cost  = x²(4) + x²(6)  + 4xh (2.5)

cost = 10  x² + 10xh

put here h = 250 / x²

cost = 10  x² + 10x (250/ x² )

cost = 10  x² +  (2500/ x )

differentiate and  we get

c' = 20 x - 2500 / x²

put c' = 0 solve x

20 x - 2500 / x²  = 0

x = 5

so we say one side is 5 ft  base

and height is  h = 250 / x²

h = 250 / 5²

height = 10 ft

3 0
3 years ago
The floor of a rectangle deck has an area of 600 square feet . The floor is 20 feet wide . How long is the floor ?
zhenek [66]
Area of rectangle= Width x Length
600= 20x Length
Length= 600÷20= 30
Ans: The floor is 30 feet long.
.
7 0
4 years ago
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