(1 yard )3<span> = 1</span>3<span> yard*yard*yard</span><span> = 1 yard*yard*yard</span><span> = 1 cubic yard . Since 1 yard = </span>3 feet, we have.
1 cubic yard = (1 yard)3<span> = (</span>3 feet)3<span> = </span><span>33 feet*feet*feet</span><span> = </span>27 cubic feet<span>.</span>
Answer:
m = -3
Step-by-step explanation:
First, find two clear points:
(1, -2) (0, 1)
Then, use the slope formula:
m = <u>y2 - y1</u>
x2 - x1
m = <u>1 - (-2)</u>
0 - 1
= <u>3</u> = -3
-1
m = -3
This means that the rise-over-run is -3 over 1, or 3 over -1.
Which means three down and 1 to the right, or 3 up and 1 to the left.
Slope is the steepness of the line.
Answer:
Choice 2
Step-by-step explanation:
Range is talking about the y value of the coordinates. Choice 2 has all the y value in the function
Answer:
Width=20 feet
Since Length=Width=20 feet, the rectangle is a Square.
Step-by-step explanation:
Area, 
To determine the width of the rectangle that gives the maximum area, we take the derivative of A and solve for its critical point.
The width of the rectangle that gives the maximum area =20 feet.
Perimeter of a rectangle=2(l+w)
Perimeter of the rectangle=80 feet
2(l+w)=80
2l+2(20)=80
2l=80-40
2l=40
l=20 feet
Since the length and width are equal, the special type of rectangle that produces this maximum area is a Square.
A)
The formula for direct variation is written as Y = kx, where k is the proportion you need to solve for.
Y would be the amount raised and X would be the number of attendees:
100 = k5
Divide both sides by 5:
k = 100/5
k = 20
B. the constant of variation is the value of k above which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
They will raise $1,200
2. If the relationship is proportional the ratio would be a constant number. If the relationship is non proportional the ratio would vary between the different values.
