A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. Th
e table shows the data:
Number of employees
(x) 0 50 100 150 200 250 300 350 400
Number of products
(y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100
What does the slope and y-intercept of the plot indicate?
Number of employees
(x) 0 50 100 150 200 250 300 350 400
Number of products
(y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100
What does the slope and y-intercept of the plot indicate?
1 answer:
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The area of each triangular face is 40 square feet
<em><u>Solution:</u></em>
Given that,
Square pyramid has a base area of 64 square feet
The pyramid’s total surface area is 224 square feet
The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base
<em><u>Therefore, total surface area of square pyramid is given as,</u></em>
Total surface area = base area + 4(Area of traingular face)
Let "x" be the area of each traingular face
Thus area of each triangular face is 40 square feet
6a. By the convolution theorem,
6b. Similarly,
7. Take the Laplace transform of both sides, noting that the integral is the convolution of and
.
where . Then
, and
We have the partial fraction decomposition,
Then we can easily compute the inverse transform to solve for f(t) :