Answer:
4/9
Step-by-step explanation:
negative exponent means 1/...
so, this is
(32/243)^(4/10) = (32/243)^(2/5)
that means to the power of 2 and then pulling the 5th root.
so, let's pull the 5th root first, and then we square
(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9
The missing number is 16
<em><u>Solution:</u></em>
Given that mean of data is 18
Let "x" be the missing number
The data set is:
21, 11, x , 27, 22, 13, 16
Sum of data set = 21 + 11 + x + 27 + 22 + 13 + 16
Sum of data set = 110 + x
<em><u>The mean is given by formula:</u></em>

Substituting the values we get,

Thus the missing number is 16
Answer:
14
Step-by-step explanation:
AB = 10+( 10/15 × 6)
= 10 + 4= 14
Slope intercept form: y = mx + b
m = slope
b = y-intercept
We are given the slope of 5/3.
We can solve the y-intercept by using the given slope and coordinate:
y = 5/3x + b
5 = 5/3(6) + b
5 = 10 + b
5 - 10 = 10 - 10 + b
-5 = b
Put this into the final equation:
y = 5/3x - 5
Best of Luck!
Answer:
(-3,-8)
Step-by-step explanation:
okay so what we can do here is elimination
we can do this first by multiplying the entire second equation by 2
so then it would become
2(5x-2y=1)
10x-4y=2
now we can add the two equations together which will eliminate y
so
-8x+4y=-8 plus
10x-4y=2 equals
2x=-6
we did that by combining like terms
next we can simplify that
x=-3
now we can plug that into the equation
-8(-3)+4y=-8
simplify
24+4y=-8
4y=-32
y=-8
our answer would be
(-3,-8)