Answer:
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Step-by-step explanation:
No, they forgot to switch variable labels after solving for the independent variable...
y=-8x+4
y-4=-8x
(y-4)/-8=x
Now that you have solved for the independent variable x, you switch the variable labels...
y=(x-4)/-8
f^-1(x)=(x-4)/-8 which should really be rewritten as:
f^-1(x)=(4-x)/8 :P
The volume of a pyramid is V = 1/3 x base length^2 x height
Let X = base length.
We are told the height is 1/2 the length, so height would be 1/2x
Now we have:
972 = 1/3 * x^2 * 1/2x
Simplifying we get:
972 = 1/6x^3
Multiply both sides by 6:
5832 = x^3
Take the cube root of both sides:
x = 18
The length of the base is 18 inches.
The height is 1/2 that, so the height would be 18/2 = 9 inches.
Answer:
Rounding to nearest hundredths gives us r=0.06.
So r is about 6%.
Step-by-step explanation:
So we are given:
where
.
Divide both sides by 1600:
Simplify:
Take the 6th root of both sides:
![\sqrt[6]{\frac{23}{16}}=1+r](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B%5Cfrac%7B23%7D%7B16%7D%7D%3D1%2Br)
Subtract 1 on both sides:
![\sqrt[6]{\frac{23}{16}}-1=r](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B%5Cfrac%7B23%7D%7B16%7D%7D-1%3Dr)
So the exact solution is ![r=\sqrt[6]{\frac{23}{16}}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B6%5D%7B%5Cfrac%7B23%7D%7B16%7D%7D-1)
Most likely we are asked to round to a certain place value.
I'm going to put my value for r into my calculator.
r=0.062350864
Rounding to nearest hundredths gives us r=0.06.
Answer:
24 hours
Step-by-step explanation:
hoped this helped
