Answer:
2/3 (B)
Step-by-step explanation:
The y values increase by 2 every time and the x values increase by 3. The rule for slope is rise(y)/run(x) so you get b, 2/3
Answer:
Option 3
Step-by-step explanation:
We want to work out the surface-area
This is a cylinder and the formula for the surface area of a cylinder is :
2πrh+2πr^2
^ means to the power of
The radius is 15
The length is 18
2(3.14)(15)(18) + 2(3.14){15}^2
Part 1:
(6.28)(15)(18)
(6.28)(270)
1695.6
Part 2:
First, we do the exponents,
15^2 = 225
(6.28)(225)
1413
Part 3:
1695.6 + 1413 = 3108.6
Answer: 3108.6
Hope this helps :)
Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x =
ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
Answer:
Candice ran 1/6 of a lap further than Chris.
Step-by-step explanation:
we know that
To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs
so

therefore
Candice ran 1/6 of a lap further than Chris.
Answer:
180 miles
Step-by-step explanation:
625 - 175= 450
450 divided by 2.50 = 180