Answer:
The equivalent expression
Step-by-step explanation:
Assuming your expression is
, then we can use the power property of logarithm , which is
.
If we let a=15, b=2, and n=3
Then using the power property of logarithm will give us:

Using the power property of logarithm, the equivalent expression is 
Answer:
P(t) = 10t - 400
Step-by-step explanation:
Selling price of each ticket = $10
Cost of setting up the dance= $400
Profit = Revenue - cost
Revenue = price × quantity
Revenue that will maximize profit = 10t
where t= quantity of tickets that maximises profits
Cost = $400
Profit(t) = Revenue - cost
P(t)= 10t - 400
Step-by-step explanation:
We have,
Height of cone, h = 12.7 m
Circumference of base, C = 18.9 m
The base of a circular cone is circular. The circumference of circle is given by :

r is radius

The volume of a right circular cone is given by the formula as :


Answer:
- Emma made a mistake. The slope should be -40.
Step-by-step explanation:
<u>Pair of points (x, y):</u>
- (165, 900) and (180, 300)
<u>Slope formula:</u>
<u>Calculate the slope:</u>
- Slope = (300 - 900)/(180 - 165) = -600/15 = -40
Prove:
The angle inscribed in a semicircle is a right angle.
The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle. <span />