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:
A.) -5
Step-by-step explanation:
-3×-5 = 15 (two negatives equal a positive)
15-4 = 11 which is greater than 7
feel free to mark brainliest if this helped you :)
The given angle is in radians and has to be converted into degrees.
To convert a radian measure to degrees multiply it by 180/π
Angle in radians =
Angle in degrees will be:
Therefore, the measure of the given angle in degrees will be 257/2
Answer:
See below
Step-by-step explanation:
Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
Line a: -x+2y=3
2y = x + 3
y = (1/2)x + 3
Line b: -6x=3y-1
-3y = 6x - 1
y = -2x + (1/3)
Line c: 4x-8y=5
-8y = -4x + 5
y = (1/2)x - (5/8)
Parallel lines have the same slope (m). Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.
Slopes, m, for the lines are;
The negative inverse of (1/2) is -2.
Lines a and c are parallel (same slope)
Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2
Answer:
t=5
t=-3
Step-by-step explanation:
