Answer:
B
Step-by-step explanation:
I got this answer correct on a test
Answer:
2. B
3. C
4. B
5. D
Step-by-step explanation:
2) The sequence is multiplying by -2 each time. This means that it is geometric.
The next two terms would be:
![32*-2=-64\\-64*-2=128\\128*-2=-256](https://tex.z-dn.net/?f=32%2A-2%3D-64%5C%5C-64%2A-2%3D128%5C%5C128%2A-2%3D-256)
This means that the answer is B
3) The sequence is being multiplied by
each time. This means that it is geometric.
The next 3 terms would be:
![3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}](https://tex.z-dn.net/?f=3%2A%5Cfrac%7B1%7D%7B3%7D%20%3D1%20%5C%5C%5C%5C1%2A%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7D%20%2A%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B1%7D%7B9%7D)
I am assuming that the answer is C and that you were unable to type the fractions.
4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows
![f(x)=1.5(x-1)+15](https://tex.z-dn.net/?f=f%28x%29%3D1.5%28x-1%29%2B15)
Now we can find the first 4 terms
![f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5](https://tex.z-dn.net/?f=f%281%29%3D15.0%5C%5Cf%282%29%3D16.5%5C%5Cf%283%29%3D18.0%5C%5Cf%284%29%3D19.5)
This would mean that the answer is B
5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows
![f(x)=4.5(10)^{x-1}](https://tex.z-dn.net/?f=f%28x%29%3D4.5%2810%29%5E%7Bx-1%7D)
Now we can find the first 4 terms
![f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500](https://tex.z-dn.net/?f=f%281%29%3D4.5%5C%5Cf%282%29%3D45%5C%5Cf%283%29%3D450%5C%5Cf%284%29%3D4500)
Unless you meant that the ratio was
, the answer is D, none of the above
The answer for the question is a
<span>48: 1,2,3,4,6,8,12,16,24,48
</span><span>
78: 1,2,3,6,13, 26, 39, 78
</span>
The answer is 6 :)
<span>(a) At the end of Month 0, about how many more insects were in Pod A than Pod B? Explain.
In Pod A, the point is higher than 50, it could be 60 to 70 insects. Pod B has 20 insects. So, Pod A has at least 40 insects more than Pod B.
(b) Find and compare the growth rates of each pod. Show your work.
Pod A: (0,60) ; (1,80) ; (2,100)
(80-60)/60 = 0.33
(100-80)/80 = 0.25
Pod B: (0,20) ; (1,44) ; (2,97)
(44-20)/20 = 1.2
(97-44)/44 = 1.2
Based on my computation, the rate of Pod A is lower than the rate of Pod B.
(c) When does the population in Pod B exceed the population in Pod A? Explain.
Pob B exceeds the population of Pod A at the END OF MONTH 4.
Pod A has a population of less than 200 while Pod B has a population of 469.</span>