Answer:
For the top half add all of the numbers of a given set together, then divide by how many numbers there are.
1.) 9
2.) 7
3.) 4
4.) 3
5.) 47.5
6.) 67 1/3
For the bottom half questions, literally the same thing.
7.) 9
8.) 34
9.) 66
10.) -28
11.) -21
12.) 3
Step-by-step explanation:
your welcome for doing you 2 minute homework
Answer:
0
Step-by-step explanation:
3(r+300)=6
Divide each side by 3
3/3(r+300)=6/3
(r+300)=2
Now we want to find
r+300-2
2 -2
0
Answer:
a^5x^5, 10a^5x^4, 40a^5x^3
Step-by-step explanation:
Use pascal's triangle for the first one
(2+x)^5 * a^5
= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...
= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
Answer:
12.56 mm²
Step-by-step explanation:
Plug the given values into the area equation
Therefore, the area of the circle is 12.56 mm².
I hope this helps!
