ANSWER
![10C_5(2)^{5}( - 3)^5](https://tex.z-dn.net/?f=10C_5%282%29%5E%7B5%7D%28%20-%203%29%5E5%20)
EXPLANATION
The given binomial expansion is:
![{(2x - 3y)}^{10}](https://tex.z-dn.net/?f=%20%7B%282x%20-%203y%29%7D%5E%7B10%7D%20)
Compare this to
![{(a + b)}^{n}](https://tex.z-dn.net/?f=%20%7B%28a%20%2B%20b%29%7D%5E%7Bn%7D%20)
we have a=2x , b=-3y and n=10
We want to find the coefficient of the term
![{x}^{5} {y}^{5}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B5%7D%20%20%7By%7D%5E%7B5%7D%20)
This implies that, r=5.
The terms in the expansion can be obtained using
![T_{r+1}=nC_ra^{n-r}b^r](https://tex.z-dn.net/?f=T_%7Br%2B1%7D%3DnC_ra%5E%7Bn-r%7Db%5Er)
We substitute the given values to obtain;
![T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5](https://tex.z-dn.net/?f=T_%7B5%2B1%7D%3D10C_5%282x%29%5E%7B10-5%7D%28%20%20-%203y%29%5E5)
![T_{6}=10C_5(2x)^{5}(3y)^5](https://tex.z-dn.net/?f=T_%7B6%7D%3D10C_5%282x%29%5E%7B5%7D%283y%29%5E5)
![T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}](https://tex.z-dn.net/?f=T_%7B6%7D%3D10C_5%282%29%5E%7B5%7D%28%20-%203%29%5E5%20%7Bx%7D%5E%7B5%7D%20%20%7By%7D%5E%7B5%7D%20)
Hence the coefficient is;
![10C_5(2)^{5}( - 3)^5](https://tex.z-dn.net/?f=10C_5%282%29%5E%7B5%7D%28%20-%203%29%5E5%20%20)
Answer:
Output will be n+4 because :
when input is 1 output is 1+4=5
when input is 4 output is 4+4=8
when input is 5 output is 5+4 =9
so, when input is n output will be n+4
Answer: 6.7 mm
Step-by-step explanation:
The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).
The apothem is the perpendicular distance from the center of the square to the midpoint of its side.
We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).
Area of square = 9(9) = 81
Area of square = 1/2(apothem)(perimeter)
Perimeter = 4(9) = 36
81 = 1/2(apothem)(36)
162 = apothem(36)
apothem = 4.5
Pythagorean theorem: ![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%20%3D%20c%5E%7B2%7D)
Plug the apothem and the given height into the equation:
(x being the slant height)
20.25 + 25 = ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
x = ![\sqrt{45.25}](https://tex.z-dn.net/?f=%5Csqrt%7B45.25%7D)
x ≈ 6.7
Answer:
B.
Step-by-step explanation:
All computer simulations are designed to test a large number of different scenarios with various sets of data in order to understand each output that certain data generates and ultimately find the best solution. This is the overall main reason why simulations are created. The same applies in this scenario, this simulation will be used to test hypotheses about patterns in the job placement process that are costly or time-consuming to observe in reality. If such tests had to be conducted by actual people it would take months, years, or even decades to generate and analyze all the data.
35km; Since the points on the map are one millionth of their actual size, simply multiply by one million and convert from there.
35*1,000,000 = 35,000,000mm
35,000,000/1000 = 35,000m
35,000/1000 = 35km