Answer:
Step-by-step explanation:
In this problem, we are given expression in exponent form and we have to simplify the expression.
The expression is ![[4(5^{3} )]^{\frac{1}{2} }](https://tex.z-dn.net/?f=%5B4%285%5E%7B3%7D%20%29%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
Now, we know that 
So, 
Now, 500 can be written as 100 × 5 = 10² × 5
Therefore, ![[4(5^{3} )]^{\frac{1}{2} } = (500)^{\frac{1}{2} } = 10\sqrt{5}](https://tex.z-dn.net/?f=%5B4%285%5E%7B3%7D%20%29%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%28500%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%2010%5Csqrt%7B5%7D%20)
{Since 500 = 100 × 5 = 10² × 5} (Answer)
Answer:
They are the two variables in the equation. They could will have different or the same values, but are seperate mathematical and logical entities.
Answer:
E A
Step-by-step explanation:
when the graph is given to find the similar points nedd to find the crossing points
By solving a system of equations, we will see that the width is 170ft and the length 275 ft.
<h3>
How to get the dimensions of the base?</h3>
For a rectangle of length x and width y, the perimeter is:
P = 2*(x + y).
Here we know that:
x = 2y - 65ft
p = 890ft = 2(x + y)
So we have a system of equations.
To solve this, we need to replace the first equation into the second one:
890ft = 2(x + y)
890ft = 2(( 2y - 65ft) + y)
Now we can solve this for y.
890ft = 4y - 130ft + 2y
890ft + 130ft = 6y
1020ft/6 = y = 170ft
So the width is 170ft, and we know that:
x = 2y - 65ft = 2*(170ft) - 65ft = 275ft
So the length is 275 ft.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
3x + 2y = 10 .....multiply by -2
2x + 3y = 15/2...multiply by 3
------------------
-6x - 4y = -20 (result of multiplying by -2)
6x + 9y = 22.5 (result of multiplying by 3)
-----------------add
5y = 2.5
y = 2.5/5
y = 1/2
3x + 2y = 10
3x + 2(1/2) = 10
3x + 1 = 10
3x = 10 - 1
3x = 9
x = 9/3
x = 3
solution is (3,-1/2)
