For this case we have the following functions:
By definition of composition of functions we have to:
So:
By definition of division of powers of the same base we have to place the same base and subtract the exponents:
ANswer:
Answer:
Step-by-step explanation:
8) 1:2 _<__ 3:6
9) 3:5 _>__ 2:4
10) 6:7 _>__ 4:8
11) 5:1 _<__ 7:9
12) 4:6 _<__ 7:6
13) 1:8 __<_ 4:11
14) 5:2 __<_ 10:4
15) 4:3 _> 2:4
16) 7:2 _<__10:3
The point always points towards the smallest number.
Answer:
As a reduced fraction: minutes, which is 24 minutes
Step-by-step explanation:
Sam's speed is 1 lawn in 40 minutes. Vanessa's speed is 1 lawn in 60 minutes. If they both work together, the total speed is:
Which means that the total speed would be 5 lawns in 120 minutes. To find the time it would take to mow one lawn at that speed, we need to invert that speed so we get minutes per lawn:
Part A: it is linear because it is not curving and it consists of straight lines.
Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.
Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.
Hope this helps!!!
Answer:
360 boxes
Step-by-step explanation:
The number of boxes in the warehouse before 60 boxes were added is;
n = 12k .... equation 1
where k is the constant of the number of stacks and n is the number of boxes.
The number of boxes after the 60 boxes were added is;
n + 60 = 14k ... equation 2
substitute the value of n in equation 2 for equation 1:
12k + 60 = 14k
60 = 14k - 12k
60 = 2k
k = 60 / 2 = 30
The number of boxes in the warehouse before 60 boxes was added is;
n = 12 * 30 = 360