<h3>
Answer: D) 0</h3>
Work Shown:
f(x) = 4x^(-2) + (1/4)x^2 + 4
f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule
f ' (x) = -8x^(-3) + (1/2)x
f ' (2) = -8(2)^(-3) + (1/2)*(2)
f ' (2) = 0
Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:
r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.
Simplify
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
The answer is around 5.497787144 miles.
Answer:
Ron has 15 nickels and 9 quarters
Step-by-step explanation:
Create a system of equations where n is the number of nickels and q is the number of quarters he has:
n + q = 24
0.05n + 0.25q = 3
Solve by elimination by multiplying the top equation by -0.25
-0.25n - 0.25q = -6
0.05n + 0.25q = 3
Add them together and solve for n:
-0.2n = -3
n = 15
So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:
24 - 15
= 9
So, Ron has 15 nickels and 9 quarters.
You do 5 multiple by 2 + 2. 4 multiple by 3 + 3. 12 multiple by 15 is 180
Answer:
2√15
Step-by-step explanation:
