Answer:
if your looking for which is more cost effective it is the 0.80 per pound as 5 pounds of it would add up to $4.00
Answer:
If I am correct, I think the surface area is 448.
Step-by-step explanation:
First start by finding the area of all the sides
Front side. 12 x 10 = 120
2 triangle sides: 8 x 10 = 80, 80 x 2 = 160
Bottom side: 6 x 12 = 72
Back side: 8 x 12 = 96
Then add up the surface area
120 + 160 + 72 + 96 = 448
Btw I don't know if I am correct, but I think this is the way you find surface area.
Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
The coordinate of the vertex is; (h, k) = (3, -5)
The final equation of the parabola is; y = 5(x - 3)² - 5
<h3>How to find the vertex of a Parabola?</h3>
The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.
The coordinate of the vertex is; (h, k) = (3, -5)
2) Since the general equation is;
y = a(x - h)² + k
We will have;
y = a(x - 3)² - 5
At x = 2, y = 0. Thus;
0 = a(2 - 3)² - 5
a - 5 = 0
a = 5
3) The final equation of the parabola is;
y = 5(x - 3)² - 5
Read more about Parabola Vertex at; brainly.com/question/17987697
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Answer:
n=-7
Step-by-step explanation:
For this you can do the inverse of division which is division. So Divide -91 and 13. Which is -7.
