The answer would be $2.70
Answer:
98
Step-by-step explanation:
Integers are whole numbers or opposite of whole numbers.
The slope is 1.
How?
Change of y is 100-1=99.
Change of x is 100-1=99.
The slope is 99/99=1 or 1/1.
So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).
If we do that again from (2,2) we get (3,3).
Following the pattern of going up 1 and right from each new location discovered we get all the of these points:
Start (1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
....
(96,96)
(97,97)
(98,98)
(99,99)
end (100,100)
So we just need to count all the numbers from 2 to 99.
99-2+1
97+1
98
Answer:
4
Step-by-step explanation:
(19-5)/3.5
14/3.5
4
When you're evaluating P(n, k), you are essentially saying there are n objects and you will need to arrange them in k spaces.
This is essentially the same as:

, which follows the formula:

If you're dividing by 4!, you are evaluating P(6, 2)
3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ