Answer:
- digits used once: 12
- repeated digits: 128
Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
- the ones digit is an even multiple of 2, and the tens digit is even
- the ones digit is an odd multiple of 2, and the tens digit is odd.
We must count the ways these conditions can be met with the given digits.
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Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
<h3>digits used once</h3>
If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
<h3>repeated digits</h3>
Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
Answer:
<u>Given function</u>
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function will contain same numbers with swapped domain and range.
<u>Initial look is like this:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | | 0 | | 1 | | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2
Hello!
The area of a cylinder formula- Area = Pi * radius squared * height
<span>In this case we are looking for height (altitude) </span>
<span>plug in our known values </span>
<span>500 = area </span>
<span>4 = radius </span>
<span>Pi ~ 3.141592654 </span>
<span>to find height... </span>
<span>500 = 3.141592654 * (4)^2 * height </span>
<span>500 = 3.14 * 16 * height </span>
<span>500 = 50.26 * height </span>
<span>divide both sides by 50.26.. </span>
<span>9.947 = height
</span>
<span>9.95 is the Correct Answer ( letter C)
</span>
Hope this Helps! Have A Wonderful Day! :)
Answer:
6
Step-by-step explanation:
B(Y)=5x+18
input the values
-2B=5(-6)+18
-2B=-30+18
-2B=-12
B=-12/-2
B=6
