See how many times the denominator goes into the numerator. For example, with 24/8, 8 goes into 24 three times, so 24/8 is 3. If I had 25/8, then it would be 3 1/8 because you have one left over after you divide the 8 into 25.
(cube root of 5) * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)
This becomes easier if we switch to fractional exponents:
5^(1/3) * 5^(1/2) 5^(1/3 + 1/2) 5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3) 5^(5/3) 5^(5/3)
Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.
1
Thus, 5^[5/6 - 5/3] = 5^(-5/6) = --------------
5^(5/6)
That's the correct answer. But if you want to remove the fractional exponent from the denominator, do this:
1 5^(1/6) 5^(1/6)
---------- * ------------- = -------------- (ANSWER)
5^(5/6) 5^(1/6) 5
Yeah what is the question
The converted the percentage to a decimal the wrong way.
Move the decimal point 2 places to the left.
6.5% as a decimal is 0.065
525.05 x 0.065 = 34.13
X = 34.13
Answer:
Y-intercept = 13
Step-by-step explanation:
Since, given points are:
(-2,5) and (3,25)
Now, by slope intercept form:
y= mx + b
Here, m= slope and b= y-intercept
In order to find y-intercept, we must find slope firstly:
Since,
Slope= m= y2-y1 / x2-x1
m= 25 - 5 / 3 - (-2)
m= 20 / 5
m= 4
Put ‘m’ in slope intercept form:
y= 4x + b
Substitute either point into above equation:
25= 4(3) +b
25= 12 + b
25 - 12 = b
or b= 25 - 12
b= 13
Hence, y-intercept is 13.