2^-2 = 1/2^2
so: (1/2^2)*(12*3)-5^3
simplify: (1/4)*36-125
36*(1/4) = 36/4 so: 9-125
subtract: -116
Answer:
Step-by-step explanation:
Given two upward facing parabolas with equations
The two intersect at
=
x=
area enclosed by them is given by
A=![\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx](https://tex.z-dn.net/?f=%5Cint_%7B-%5Csqrt%7B%5Cfrac%7B2%7D%7B5%7D%7D%7D%5E%7B%5Csqrt%7B%5Cfrac%7B2%7D%7B5%7D%7D%7D%5Cleft%20%5B%20%5Cleft%20%28%20x%5E2%2B2%5Cright%20%29-%5Cleft%20%28%206x%5E2%5Cright%20%29%20%5Cright%20%5Ddx)
A=
A=![4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]](https://tex.z-dn.net/?f=4%5Cleft%20%5B%20%5Csqrt%7B%5Cfrac%7B2%7D%7B5%7D%7D%20%5Cright%20%5D-%5Cfrac%7B5%7D%7B3%7D%5Cleft%20%5B%20%5Cleft%20%28%20%5Cfrac%7B2%7D%7B5%7D%5Cright%20%29%5E%5Cfrac%7B3%7D%7B2%7D-%5Cleft%20%28%20-%5Cfrac%7B2%7D%7B5%7D%5Cright%20%29%5E%5Cfrac%7B3%7D%7B2%7D%20%5Cright%20%5D)
A=
Answer:
C. 0.68
Step-by-step explanation:
Given;
number of products sold in a day by toll-free sales line = 85 products
number of calls in a day = 125
The daily success rate of the sales line is given by the ratio of the total products in a day to total number of calls in a day.
The daily success rate of the sales line = total products sold / number of calls
The daily success rate of the sales line = 85 / 125
The daily success rate of the sales line = 0.68
Therefore, the daily success rate of the sales line is 0.68
To find the missing dimension of the tabletop, the height, you will use the formula for finding the area of a trapezoid and solve for the missing height.
A = 1/2 h (b1 + b2)
6550 = 1/2 h (115 + 85)
6550 = 1/2 h (200)
<u>6550</u> = <u>100h
</u>100 100
<u>
</u>655 = h
<u>
</u>The height is 655 cm.<u>
</u>
