Answer:
3
Step-by-step explanation:
In the graph, the constant of proportionality is 40
<h3>Calculating the constant of proportionality</h3>
From the question, we are to determine the constant of proportionality
The constant of proportionality = 
From the graph, a point on the line is (1, 40)
That is,
When x = 1 and y = 40
Thus,
The constant of proportionality = 
Constant of proportionality = 40
Hence, the constant of proportionality is 40
Learn more on Constant of proportionality here: brainly.com/question/11391605
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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.
The <em>correct answer</em> is:
The first number is 0.062.
Explanation:
Let x represent the first number in the list.
We add 0.001 to each number to find the next number; this gives us:
x + 0.001 + 0.001 = 0.064
Combining like terms, we have:
x + 0.002 = 0.064
Subtract 0.002 from each side:
x + 0.002 - 0.002 = 0.064 - 0.002
x = 0.062
Ten thousand is the place value of the 9 in that number
