Answer:
It is equivalent to a decimal that does not terminate.
Step-by-step explanation:
When you divide 1 by 3, you get 0.33333333333333333333333333333333333333333333333333333 forever. The decimal never ends.
average rate of change is just the slope from (0,f(0)) to (2,f(2))
basically, average rate of change=slope=
evalaute each
f(2)=4(2)^2=4(4)=16
f(0)=4(2)^0=4(1)=4
so average rate of change=
average rate of change is 6
Answer:
B
Step-by-step explanation:
Each coordinate becomes 1/4 of what it was.
Answer: B
To solve this problem and calculate the area of the sphere, you must apply the following formulas:
Formula N° 1:
V=4/3(πr³)
V is the volume of the sphere (V=3,000π m³).
r is the radius.
Formula N° 2:
A=4πr²
A is the area of the sphere.
r is the radius.
As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":
V=4/3(πr³)
(3,000)(3)=4πr²
r³=9,000/4π
r=(9,000/4π)<span>^1/3
</span> r=13.1037 m
Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:
A=4πr²
A=4π(13.1037)²
A=2,158 m²
<span>What is the surface area of the sphere to the nearest square meter?
</span>
The answer is: 2,158 m²
Answer:
$8100·1.024^28
Step-by-step explanation:
The future value formula is ...
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded and t is the number of years. Putting the given numbers in place of the corresponding variables gives the expression you want:
FV = $8100(1 +.048/2)^(2·14)
FV = $8100·1.024^28 . . . . . simplified
