Answer:
10403.
Step-by-step explanation:
To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.
After multiplying 101 by 103, we get 10403.
To check our answer, we can verify each point.
10403 is not prime, as it has 2 factors, 101 and 103.
10403 is not square, as the square root of 10403 is 101.9951.
10403 has 2 factors 101 and 103, both of which are greater than 100.
168,356 = 170,000
168,356 rounded to the nearest 10th thousand is 170,000 you are changing the 2nd digit, (thousand digit).
Answer:
4620.
Step-by-step explanation:
The number of combinations of 3 men from 9
= 9!/(9-3)!3!
= 9*8*7/3*2*1
= 84 ways.
The number of combinations of 2 women from 11
= 11!/11-2)!2!
= 11*10/2*1
= 55 ways.
So the total number of ways of men and women in the committee
= 84*55
= 4620.
Consider that the leading coefficient of the given quadratic function is positive, it means that y, for values of x => +oo, approaches to +oo too. And for x => -oo, the function approaches to +oo.
Then, based on the previous explanation, you can conclude that the end behavior of the given polynomial is:
f(x) => oo as x => ± oo third option
First, the best advice I can give you is to go to sleep. You pretty much know what you know, and being well-rested will help you think clearly, recall details, and avoid careless mistakes.
1)
2)
3) Yes, dilating with a scale factor that is less than 1 (and greater than 0) corresponds to a decrease.
4) Yes, dilating with a scale factor greater than 1 corresponds to an increase.
5) To find the slope of a scatter plot, you need to make a line of best fit, that is, the line that passes through as many points as possible and has about as many points above it as below it. Then, find two of those points that the line passes through and calculate the slope between those points. For two points
and
, the slope is
.
This is an estimate. To find a better approximation, you can use the least-square method, but I think that probably involves higher-level math that you don't need. If you think you do need to solve it this way, just comment here and I'll explain it. Note that you can also calculate it using Microsoft Excel or a regression plot on a graphing calculator.