10000 different phone numbers are possible for a particular prefix if repetion of digits is allowed
5040 different phone numbers are possible for a particular prefix if repetion of digits is not allowed
<em><u>Solution:</u></em>
Given that,
A seven digit phone number consists of a three-digit prefix followed by four digits
We have to find the different phone numbers are possible for a particular prefix
For a paricualr prefix, there are four digits
Total numbers from 0 to 9 are 10
Therefore,
Different ways for phone number for particular prefix:
If repetition is allowed:
Different ways = 10 x 10 x 10 x 10 = 10000 ways
If repetition is not allowed then:
Different ways = 10 x 9 x 8 x 7 = 5040 ways
So to get the fractions easier to understand you need to put them on the same level you are on. So change the 9/10 gallons to 18/20 ( this makes them easier to deal with the 1/20)
so put 1/20 into 18/20. Liam can paint 18 bird houses.
Answer:
g has an average rate of change of zero at the intervals [-5,4] and [-2,2]
Step-by-step explanation:
When we talk of the average rate of change, we mean the change in y values divided by the change in x values
Once the change in y-values is zero, then over that interval, the average rate of change is zero
at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6
As we can see here, within the interval [-5,4]; the average rate of change is 0
This same pattern is repetitive at points or ranges where we have same values for g(t)
such as;
[-2,2]
Yes, the two ratios are proportional
In 3/4, if you multiply the numerator and denominator by 3, you would get 9/12, thus, 3/4=9/12
Answer:
Step-by-step explanation:
Start by "taking out" the perfect squares. 25 and 9 are perfect squares (and pretty common ones).
The square root of 25 is 5 and the square root of 9 is 3. Therefore you can take out a 5 and 3 from the radical. Multiply the numbers you take out together.
5 * 3 = 15
The number outside of the radical sign will be a 15, and x is left over inside the radical. The final answer is .
