Answer:
16π
Step-by-step explanation:
Given:
<u>Formula:</u>
Replace the radius in the formula:
Evaluate the area:
Since the question says to determine the area in terms of π, the final answer is 16π.
For this case we have the following inequality:
Solving for the numerator we have:
Solving for the denominator we have:
Therefore, the solution is given by:
The graph that shows this solution is the graphic number 3.
Answer:
option 3
Answer: A) Exponential Function
Step-by-step explanation:
Hi, an exponential function describes best the total number of rabbits in the colony over time, because the population tends to multiply by a specific rate over time.
An exponential function can be described as a growth function, for example in the form:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Answer:
Equivalent fractions and ratios mean that when simplified, they are the same one fraction or ratio. see examples below.
Step-by-step explanation:
For example, the fraction 1/2 is the same as 2/4 or 15/30 because when you simplify them, they are still 1/2. Therefore they are equivalent.
For example, the ratio 1:2 is the same as 5:10 or 10:20 since when broken down they all come down to 1:2. Hence they are equivalent.
Hope this answers your question.
Answer:
the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
Step-by-step explanation:
if there is no mistake in the problem description, I read the following function :
C(x) = y = 0.3x² - 1.2x + 2
I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.
the first derivative of C(x) is
0.6x - 1.2 = y'
0.6x - 1.2 = 0
0.6x = 1.2
x = 2
C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8
so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
