Answer:
Step-by-step explanation: the first is m the second one is 15x+5
Answer: w = 4 and l = 12
Step-by-step explanation:
We are given two points: (-1, -1) and (1, -4). Slope is calculated as the change in y over the change in x, or rise over run.
The change in y is the difference of the two y coordinates (it doesn't matter the order): -1 - (-4) = 3
The change in x is the difference of the two x coordinates (this order depends on the order that you subtracted the y coordinates; they must be the same order): -1 - 1 = -2.
So, the slope is 3/-2
Answer:
The total numbers of possible combinations are 3430.
Step-by-step explanation:
Consider the provided information.
A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.
Here, for the first digit we have 10 choices.
For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.
For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.
For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.
So the number of choices are:

Hence, the total numbers of possible combinations are 3430.
9514 1404 393
Answer:
8.6
Step-by-step explanation:
The growth factor per year is 1.012, so in 500 years is ...
1.012^500
The number of doublings is the solution to ...
2^n = 1.012^500
Taking logarithms, we have ...
n·log(2) = 500·log(1.012)
n = 500·log(1.012)/log(2) ≈ 8.6046
About 8.6 doublings will take place in 500 years.