Area = π x r^2
Area = π x 12^2
Area = 144π or 452.16 square units. ( using 3.14 for PI)
Circumference = 2*PI *radius
Circumference = 12π or 37.68 units ( using 3.14 for PI)
Answer:
y = -x^2 − 2.5x + 350
Step-by-step explanation:
y = (10 + 0.5x)(35 − 2x)
y = 350 − 20x + 17.5x − x^2
y = 350 − 2.5x − x^2
Fourth root of 35. You take the denominator and make that the number above the root of sign and the numerator is how many times it is multiplied
Answer:
(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
The equation of direct variation is ...
y = kx
for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.
__
<h3>constant of variation</h3>
Solving the direct variation formula for k, we have ...
k = y/x
Using the table values, we can see if this is constant:
k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5
The "rate of change" is constant at $5 per hour.
The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
If the work required to stretch a spring 2 ft beyond its natural length is 9 ft-lb,then the work that is needed to stretch it 18 inches beyond its natural length is 81 ft.lb.
Given that work required to stretch a spring 2 ft beyond its natural length is 9 ft-lb.
We are required to find the work that is needed to stretch 18 inches beyond its natural length.
Multiplication is basically finding out the product of two or more numbers.
Work required to stretch the spring 2 feet beyond its natural length=9 ft. lb.
So, to find the work that is required to stretch the spring 18 feet beyond its natural length, we have to multiply 9 with 9 which will give us 81. So the work required is 81 ft.lb.
Hence if the work required to stretch a spring 2 ft beyond its natural length is 9 ft-lb,then the work that is needed to stretch it 18 inches beyond its natural length is 81 ft.-lb.
Learn more about multiplication at brainly.com/question/10873737
#SPJ4
