Answer:
A graphing calculator can do quadratic regression on the given points. It tells you the cost function is
.. c(x) = (1/2)x^2 +8x +10
Then c(12) = 178
The cost function predicts the total cost of producing 12 camera cases is $178.
Step-by-step explanation:
<3 follow
The volume of a cylinder is pi*r^2*h
The radius is half the diameter, so 40/2=20, and the radius is 20 ft.
Plugging in: pi*20^2*32=pi*400*32=12800pi=40212.38597
So the volume is about 40212.4 ft^3 and the expression we used is pi*20^2*32
Hope this helped!
Answer:
Equation 3
Step-by-step explanation:
An identity is, simply put, an equation that is always true. 1 = 1, 2 = 2, and x = x are all examples of identities, as there's no case in which 1 ≠ 1, 2 ≠ 2, and x ≠ x. Essentially, if we can manipulate and equation so that we end up with the same value on either side, we've found an identity. Let's run through and try to solve each of these equations to see which one fulfills that condition:
8 - (6v + 7) = -6v - 1
8 - 6v - 7 = -6v - 1
1 - 6v = -6v - 1
1 = -1
This is clearly untrue. Moving on to the next equation:
5y + 5 = 5y - 6
5 = -6
Untrue again. Solving the third:
3w + 8 - w = 4w - 2(w - 4)
2w + 8 = 4w - 2w + 8
2w + 8 = 2w + 8
If we created a new variable z = 2w + 8, we could rewrite this equation as
z = z, <em>which is always true</em>. We can stop here, as we've now found that equation 3 is an identity.
Answer: 4x-1
Step-by-step explanation:
SinB = 8/17
The sin of an angle is equal to opposite/hypotenuse
Use Pythagorean’s Theorem to solve for the opposite side
The opposite side is equal to 8
So sinB = 8/17
*look at attached photo for work
