First lets find -8.2 x 10 = -82 know we find 82^5 which is 82*82*82*82*82
-82*-82=6724 and then 6724*-82= -551368 and then -551368*-82 =45212176 and then 45212176*-82= -3707398432 and finally -3707398432 is our answer i checked the calc to after i did the hard math that took me forever i had some help from the calc and i got this hopefully this helps
Answer:
x+((4 + 1/3))=(-(2 + 5/6))
6x = -43
x≈ -7.166667
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Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
Answer:
The square cake is larger by 31 in^2
Step-by-step explanation:
A round cake has a circular area on top.
We need to find the radius
d= 2r
8 = 2r
r=4
The area of the circle is pi r^2
A = 3.14 * 4^2
A = 3.14 *16
= 50.24
The area of the square cake is
A =s^2
A = 9^2
A = 81
The square cake is larger
The difference is Asquare - A round
81 -50.24
30.76
Which is close to 31 in ^2
