Answer:
If the first question is indicating that the diameter of mercury is 4.88x10^3 kilometers, then to put this in standard notation you would move the decimal point three places to the right, which gives you 4880 kilometers.
For the second question, you have to count how many places to the right the decimal place needs to be moved to have a number in the ones place. In this case, that number is 4. Scientific notation would be 1.96x10^(-4) meters. For any number where the value is less than one, the ten will be to a negative power.
In this item, we are to determine the number of high fives given considering that there are 12 total number of participants in the meeting. We know for a fact that each high five will require 2 participants. We can determine the answer to this item by using the concept of Combination.
Combination of 12 taken 2 can be expressed as 12C2 and can be solved using the equation,
n = (12!)/(2!)(12 - 2)!
This expression is equal to 66. Hence, the answer to this item is 66 high fives.
The slope of the rise over run.
Answer:
Give me a second I know this one.
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
This is how I write
y=kx+m
but I have seen some write it like this:
y=mx+b
Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.
y=kx+m
To find out what k
![k = \frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
So you first need to choose two points.
I'll go for (0,-5) and (2,0)
![k = \frac{0 - 5}{2 - 0}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B0%20-%205%7D%7B2%20-%200%7D%20)
![k = \frac{ - 5}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B%20-%205%7D%7B2%7D%20)
Now you could insert k into the equation and it will look like this.
![y = \frac{ - 5}{2}x + m](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B2%7Dx%20%2B%20m)
To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.
![- 5 = \frac{ - 5}{2} \times 0 + m](https://tex.z-dn.net/?f=%20-%205%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B2%7D%20%5Ctimes%200%20%2B%20m)
m=-5
Try it with another point to see if you get the same answer. this time I'll pick (-6,10)
![10= \frac{ - 5}{2} \times( - 6)+ m](https://tex.z-dn.net/?f=%2010%3D%20%20%5Cfrac%7B%20-%205%7D%7B2%7D%20%5Ctimes%28%20-%206%29%2B%20m)
m= -5
The equation will be y=-5/2x-5)