Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
Answer:
-3/2.
Step-by-step explanation:
To find the slope, we find the rise over run.
In this case, the rise is 6 - 3 = 3.
The run is 3 - 5 = -2.
The slope is 3 / (-2) = -3/2.
Hope this helps!
Answer: ≈ 185.73009
Step-by-step explanation:
area of square: 
area of circle: 
length: 15
radius = diameter/2
radius: 5
area of square - area of circle = area between square and circle:
≈ 185.73009
hope it helps!
Please mark as brainliest.
You just have to multiply the percentage by the amount:
(150/100)×$63
1.5×$63= $94.50
If you aren't allowed a calculator, then just find half of $63 (the 0.5 of the fraction) and add it to $63 (the 1. of the fraction).
$63÷2= $31.5
$63+$31.5= $94.50
Answer:
i think the answer is B but im not sure sorry if it is not
Step-by-step explanation:
