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:
- What is the mathematical relationship between I and r?
They are in direct proportion or are directly proportional to each other.
- Between I and t? They are in direct proportion or are directly proportional to each other, too.
- Why are these relationships important to you ? Because they tell you how much the interest that you will owe will grow as the rate (r) or the time (t) increase.
Explanation:
- As given, the interest follows the mathematical relation I = Prt
- In mathematics, two variables are in direct proportional or, what is the same, the variables are directly proportional, if one variable is always the product of the other variable and some constant.
- To state the relation between two variables you say that the other parts on the equation (in this case the amount borrowed, P) are held constant. So, in order to tell the relation between I and r you assume P and t are constant, that leaves you with the relation:
I = r × constant, which is the definition of direct proportion.
The same happens when you assume that P and r are constant:
I = t × constant, meaning, again, that I and t are directly proportional.
- In conclusion, in both cases, the interest that you will owe will increase in a proportional way as the rate or the time increase: if the time is doubled or tripled, the interest will be doubled or tripled. In the same way, if the rate is doubled or tripled the interest will be doubled or tripled.
That is how direct proportion works: one variable is multiplied by the same factor that the other variable is.
Answer:
13) A. 290 miles 14) A. 2 1/3 in
Step-by-step explanation:
Take 7.25 divided by 0.5, the scale on the map.
7.25/0.5 = 14.5
Take this value times the 20 miles to solve the real distance in miles
20 x 14.5 = 290 miles
14) Take 3.5 times 2/3 to find the side length of the new square
3.5 x 2/3 = 2 1/3
If these answers are correct, please make me Brainliest!
Answer:
s = 50.
Step-by-step explanation:
In order solve, subtract 5 from 205 = 200. Now, divide by 4.
Confused by what question you're asking, but RS would be congruent to ST