Answer:
F; A translation of 6 up and 4 left and a reflection across the x-axis
Step-by-step explanation:
Here, we want to perform the translation that would move S to S’
to do this, we can have a subtraction
For 1 to move to -3 on the x-axis;
it means there is a leftward shift of upto 4 units
For -8 to turn to 2;
this is positive; there is a vertical upward translation of upto 10 units on the y-axis
This option is not directly available; thus we have to factor the reflection
if we reflect on the x-axis, the y-axis value becomes negated; if we reflect on the y-axis, the x-value becomes negated
The correct answer is thus;
A translation of 6 up and 4 left, followed by a reflection across the x-axis
26*25*24*23*22*21*20*19 which is 62,990,928,000 strings.
Answer:
<u>$15 per hour</u>
Step-by-step explanation:
Since he charged $65 for the parts, and the total charge was $110, that's $110-$65 which is $45, the total hours was 3, so $45 divided by 3, and that equals $15.
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.
Answer:
A
Step-by-step explanation:
The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!