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.
Perimeter of a parallelogram = 2(l+b)
= 2 (65+42)
= 2*107
= 214 cm
If you follow is rule : P(x,y)>180° rotation>P'(-x,-y). the negative signs doesn't mean to make it negative but to change it to the opposite sign. If it's positive it goes to negative. And if it's negative is goes to positive. The rotated image would have the points: (1,2) (4,4) (3,7)
Hello and Good Morning/Afternoon
<u>Let's take this problem step by step</u>:
<u>To find the rate of change is essentially like finding a line's slope</u>:
⇒ the <em>x-values</em> are the <em>number of sodas</em>
⇒ the<em> y-values </em>are the <em>total costs</em>
<em> ⇒ choose</em> two sets of coordinates and find the slope
<u>Let's put that into action</u>
⇒ (24, 18)
⇒ (28, 21)
<u>Since the rate of change is total cost over number of sodas</u>
⇒ <em>unit is '</em>total cost/number of sodas'
<u>Answer: 3/4 total cost/number of sodas</u>
<u></u>
Hope that helps!
#LearnwithBrainly
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