Answer:
4.5^8
Step-by-step explanation:
4.5 multiplied by its self 8 times
Answer:
-25.
Step-by-step explanation:
What is the difference of outputs for any two inputs that are one value apart?
If you look at the column of "x" [input], you will see that they are 1 unit apart. You can thus look at the corresponding values of "f(x)" [output] and determine their difference. Checking all of those, gives us the difference (same for all).
Output 2 - Output 1:
Output 3 - Output 2:
Output 4 - Output 3:
Output 5 - Output 4:
So the difference of outputs for any two inputs one value apart are
Sorry, but this problem cannot be simplified.
It stays how it is.
Answer:
192
Step-by-step explanation:
treat them as two rectangles. So take the first and you see that its 8 by 12, so 8 times 12, which equals 96. then look at the other rectangle. Its the same so do the same thing 8 times 12 equals 96. then add the totals to find the area. 96+96=192
Answer:
Let the number of digits be n and the number of elements in set be s.
<h3>When n = 1</h3>
- The set contains 1-digit numbers, 1 through 9,
- The set consists of 10 - 1 = 9 numbers.
<h3>When n = 2</h3>
- The set contains 2-digit numbers, 10 through 99,
- The set contains 100 - 10 = 90 numbers.
<h3>When n = 3</h3>
- The set contains 3-digit numbers, 100 through 999,
- The set contains 1000 - 100 = 900 numbers.
The pattern we see helps us determine the relationship between s and n as follows.
When set contains n-digit numbers, the set contains:
- s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elements
We have s known, substitute it into equation above and solve for n:
- 900000000 = 9*10ⁿ¹
- 100000000 = 10ⁿ⁻¹
- 10⁸ = 10ⁿ⁻¹
- n - 1 = 8
- n = 9
The numbers in the set s are 9-digit long.
