Answer:
After simplifying, the exponent of x is 33 and the exponent of y is 0
Step-by-step explanation:
For us to simplify, we bring the x base together and the y base together
Recall from the law of indices;
x^a/x^b = x^(a-b)
and x^a * x^b = x^(a + b)
We shall be applying these here
Let us bring the x terms together
we have these as;
x^8/x^14 * 1/x^-39 = x^( 8 - 14 -(-39))
= x^(8 + 39-14) = x^33
for y, we have it that;
y^-26/y^-5 * 1/y^-21
= y^(-26 -(-5) - (-21)
= y^-26 + 5 + 21 = y^0
Answer:
x>5
Step-by-step explanation:
30 < 6x
Divide both sides by 6,
5 < x => x>5
Answer:
b
Step-by-step explanation:
The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.
Arrange the data in ascending order
48, 52, 54, 57, 57, 57, 61, 61, 65
↑
The median of the data set is 57 → b
Answer:
The volume of a cone is:
V=(hπr^2)/3, where h=height and r=radius
V=(7π4^2)/3
V=112π/3 ft^3
V≈117.29 ft^3 (to nearest hundredth of a cubic foot)
Step-by-step explanation:
Answer:
x=8
x=-2
Step-by-step explanation:
∣x−3∣+4=9
= ∣x−3∣=5
<u>Positive term: (x-3)</u>
(x-3) = 5
Rearrange and Add up
x = 8
<u>Negative term: -(x-3)</u>
Multiply
-x+3 = 5
Rearrange and Add up
-x = 2
Multiply both sides by (-1)
x = -2
