Answer:
D.
Step-by-step explanation:
The original antenna revolves at a rate of 30 per 2 minutes, or 15 per minute.
Twice as fast = 15 X 2 = 30 per minute
Only the data in Table D fits.
660 / 22 = 30
720 / 24 = 30
Answer:
A
Step-by-step explanation:
So we have the piecewise function:

And we want to find f(8).
Since our input value is 8, choose the equation that fits our input.
The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.
The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.
The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.
So:


There're nothing more to do, we're done :)
The answer is A.
Edit: Improved Format
Answer:
B
Step-by-step explanation:
Step-by-step explanation:
step 1. this is a polynomial division problem
x^2 + 11x + 52
---------------------------------
step 2. (x -3) [ x^3 + 8x^2 + 19x + 13
step 3. x^3 - 3x^2
step 4. 11x^2 + 19x + 13
step 5. 11x^2 - 33x
step 6. 52x + 13
step 7. 52x - 156
step 8. R -> 169
step 9. Ans: x^2 + 11x + 52 R 169
Answer: Keegan is correct. None of the expressions are equivalent to one another.
The order of operations, PEMDAS, tells us that we do exponents first before addition. This is because the "E" in PEMDAS comes before the "A".
If we wanted to cube all of "6+4", then we would need to say "the quantity 6 plus 4 cubed" or something like "the cube of the sum of 6 and 4".
As the "Model It" sections show, none of the expressions result in the same value. Michael gets 1000, Morgan gets 280, while Keegan gets 70. Therefore, none of the three expressions are equivalent to one another.