Answer:
3 * 8^(x/2)
Step-by-step explanation:
The third answer choice is the correct one.
Here's how:
3squareroot of 8^x = 3√(8^x) = 3*(8^x)^(1/2) = 3 * 8^(x/2)
Answer:
64π inches² (approximately 201.06 inches²)
Step-by-step explanation:
where
is the radius
To find the radius, divide the diameter by 2
16 ÷ 2 = 8 inches
Plug in 8 as the radius

(approximately)
Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².
I hope this helps!
Answer:
15/4
Step-by-step explanation:
(-5,-10) and (-1,5)
y2-y1/x2-x1
5+10 / 4
15/4
7*3/10 = 2.1
1*3/4 = 0.75
2.1 + 0.75 = 2.85
hope this helps :)
Step-by-step explanation:
1.) The average nightly ticket sales can be calculated as
Average sales = Average no. of customers per night x Charge per ticket
For the second night, we have
$1750 = (N)($7)
This gives us N = 250.
So, the average number of customers decreased as a result of the price increase.
To calculate the percentage change, we use the following formula:
% change = 
We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.
2.) % change in prices = 
Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.
3.) Elasticity of Demand = 
Hence, we have
= -0.425
This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.
4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.