Answer:
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)
Step-by-step explanation:
we are given

we can use rule to change exponent into radical
![\sqrt[n]{a} =a^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
so, we can write as


now, we can use rule
and we can write our term as
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)
0=0
it is n the range of 0≤x≤4
so
do x+3
0+3=3
it is 3
Answer:
173.7 ft2
Step-by-step explanation:
area of 3 rectangle + area of 2 identical triangle = surface area
10*6 + 6*3 + 11*6 +(2.7*11/2)*2 = 173.7 ft2
Answer: Option B.
Step-by-step explanation:
Given the system of inequalities:

The solution of the system of inequalities is the region between the parabolas. This region is: below the parabola
and above the parabola 
Then, if a point is a solution of the system, then it must be in the region between this parabolas.
You can observe in the figure attached that the point that is in this region is the point (2,6), therefore, the answer is the option B.
Answer:
6 miles/hr
Step-by-step explanation:
Given:
Top speed of Brand A scooter goes 2 miles per hour faster than Brand B.
Distance traveled by brand A scooter on its top speed in 3 hours = 24 miles
To find:
The rate at which brand B traveled the same distance at its top speed ?
Solution:
Let the top speed/rate of brand B scooter =
miles/hr
According to question:
Top speed/rate of brand A scooter =
miles/hr
<em>Formula:</em>

Distance is given to be equal to 24 miles:
24 = (
)
...... (1)
Solving the above equation by first dividing the equation on both sides with 3:

Now subtracting 2 from both the sides:

Therefore, the answer is:
Top speed of scooter B is <em>6 miles/hr.</em>
<em></em>
The if-then moves used to solve the equation (1) are:
Dividing by a non zero number on both sides, then subtracting a number on both sides.