Here. Remember to get the correct units. If you need extra help, I am more than willing to help!
QUESTION:
The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.
ANSWER:
Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–
- P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.
Since there are 10 digits to choose from, we can assume that n = 10.
Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.
Now, plug these values into the formula and solve:
= 10!(10−5)!
= 10!5!
= 10⋅9⋅8⋅7⋅6
= 30240.
Answer:
8.57 explanation:
Step-by-step explanation: If Quan gets 210 dollars every 24 hours and you want to find the amount he gets every hour all you have to do is do 210 divided by 24 which you will get 8.75. So every hour he gets $8.75 every hour for his work
Answer:
y=-9x-4
Step-by-step explanation:
Perpendicular lines meet the following condition:
m2*m1= -1 (a)
where m is the slope of a line
m1 is given through equation of line 1, y =1/9 x+2
m2 must be -9 -> from eq. (a)
The Line has the following equation: y=mx+b, where m=-9 and the b is the interception with y axis.
Evaluating the above equation in (-1,5) we have the following equation
5= -9*(-1)+b, we have b=-4
The line has the following equation
y=-9x-4
Slope intercept form