Answer:
A
Step-by-step explanation:
Since m∠JOK is 1/5th of the measure of the full circle (we know this because 72° is 1/5th of 360° and 360° is the measure of the whole circle), we know that the measure of minor arc JK will be 1/5th of the circumference of the circle. C = 2πr and we know that r = 5 so the circumference is 10π. 1/5th of that is 2π.
The first word of the question is cut out of the picture, so we don't exactly know what the assignment is. But we can see that the graph of f(x) will do something weird when x=-3, because the denominator will be zero, and division by zero doesn't even have a definition or meaning. Just for fun, you should go ahead and calculate the numerator when x=-3, and that totally blows your mind, because the numerator is zero too. So you've got. f(-3)= 0/0 , and I can pretty much guarantee that you won't be able to plot that point anywhere on the graph. (I'm pretty sure that f(-3) is actually going to turn out to be -13, but even if I'm correct, you probably haven't learned that little calculus trick yet, so don't worry about it. As far as you're concerned, f(-3) is 0/0, and can't be plotted.)
Answer:
1 / 2,787,760,560
Step-by-step explanation:
The number of permutations is:
41 × 40 × 39 × 38 × 37 × 31 = 2,787,760,560
So the probability of winning the jackpot is 1 / 2,787,760,560.
Answer:
7 people
Step-by-step explanation:
13-4=9
9+2=11
11-6=5
12-5=7
Answer:
It will have a population of 61,779 in 2000.
Step-by-step explanation:
The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:
In which P(0) is the population in 1900 and r is the growth rate.
Population of 24,000 in 1900
This means that 
Population of 29,000 in 1920.
1920 is 1920 - 1900 = 20 years after 1900.
This means that P(20) = 29000. So
![\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}](https://tex.z-dn.net/?f=%5Csqrt%5B20%5D%7B%281%2Br%29%5E%7B20%7D%7D%20%3D%20%5Csqrt%5B20%5D%7B%5Cfrac%7B29000%7D%7B24000%7D%7D)
So
What population will it have in 2000
2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).
It will have a population of 61,779 in 2000.
