Answer:
c
Step-by-step explanation:
Answer: 8 pi
Step-by-step explanation: So we know that area of a circle is pi times r^2 so if we reverse that formula it would be square root of 16 pi which would be 4 pi and divide by pi so the radius is 4. And we know that the formula for circumference is 2 times pi times r, so 2 times 4 times pi is 8 pi. 8 pi is the cIrcumference! :)
Answer:
x =4
Step-by-step explanation:
2/3(x-7)= -2
Multiply each side by 3/2 to clear the fractions
3/2 * 2/3(x-7)= -2 *3/2
x-7 = -3
Add 7 to each side
x-7+7 = -3+7
x =4
Answer:
The average rate of change of the function from x=1 to x=2 will be: 10.5
Step-by-step explanation:
Given the function
at x₁ = 1,
f(x₁) = f(1) = -14/(1)² = -14/1 = -14
at x₂ = 2,
f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-3.5 - (-14)] / [2 - 1]
= [-3.5 + 14] / [1]
= 10.5 / 1
= 10.5
Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5
Answer:
C.) In perfect health.
Step-by-step explanation:
Given an average weight of 15kg and a standard deviation of 3kg for children of 4 years. Since the weight is based on a normal Z - distribution of 95% which is mean ± 2(standard deviations)
Mean weight interval is :
15 - 2(3) ; 15 + 2(3)
(9 ; 21) ; this weight interval could be interpreted to mean the normal or perfect weight value.
Therefore, given that the child weighs 12kg
Since, 12 kg falls within in the interval, we can conclude that the child is in perfect health.
