Answer:
D
Step-by-step explanation:
We assume the rotation R is <em>counterclockwise</em> 60°.
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The exponent on R is the number of times it is applied. That is, R² = R(R(figure)). So, the composition is equivalent to R^(2-4) = R^-2.
When the exponent of R is negative, it is essentially the inverse function. That is, applying the function R to the result will give the figure you started with. Equivalently, it is rotation in the other direction.
The point 120° clockwise from B is D.
The desired image point is D.
Answer:
Original Salary: 
Increase in 3%: 
Step-by-step explanation:
So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do: 
where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation: 
. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: 
Rate of change will be the difference in f(3) and f(8). solve for the 2 first:
f(3)=3²-5(3)+2 = -4
f(8)=8²-5(8)+2 = 26
than find the difference in f(3)-f(8)= -4-26 = -30
Answer: The number of air conditioners sold per day in a city and the daily temperature
Step-by-step explanation:
We know that if there is a causal relationship between two variables then one variable is responsible for causing the other variable.
- the number of hats sold and the number of mittens sold in a city.
there is no causal relationship between the variables since both are independent variables.
- the amount of butter and the amount of bread consumed by a family
.
there is no causal relationship between the variables since both are independent variables.
- the number of notebooks sold and the number of pens sold in a stationery store
.
there is no causal relationship between the variables since both are independent variables.
- the number of air conditioners sold per day in a city and the daily temperature
.
there can be causal relationship between the variables since by increasing or decreasing temperature the the number of air conditioners sold per day in a city can be increased or decreased respectively.
- the number of hours a person can swim and the depth of the pool.
there is no causal relationship between the variables since both are independent variables.
