Answer:
- The men to women ratio is 3 : 4
- The ratio between women to total number of people is 4 : 7
Step-by-step explanation:
Men to women ratio = 21 : 28 or 3 : 4
The men to women ratio is 3 : 4
Total people = 21 + 28 = 49 people
The ratio of women to total number of people is
28 : 49 or 4 : 7
The ratio between women to total number of people is 4 : 7
Answer:
b.
Step-by-step explanation:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)
5x^5 + 4 - 2x^3 - 9 + 6x^5 - x^3
5x^5 + 6x^5 = 11x^5
-2x^3 - x^3 = -3x^3
+4 -9 = -5
The common ratio between terms is 3, so the sequence has general
-th term
![a_n=3^{n-1}](https://tex.z-dn.net/?f=a_n%3D3%5E%7Bn-1%7D)
for
. The term exceeds 7000 when
![3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06](https://tex.z-dn.net/?f=3%5E%7Bn-1%7D%3E7000%5Cimplies%20n-1%3E%5Clog_37000%5Cimplies%20n%3E1%2B%5Clog_37000%5Capprox9.06)
which means the first time
exceeds 7000 occurs when
. Indeed,
![a_{10}=3^{10-1}=19,683](https://tex.z-dn.net/?f=a_%7B10%7D%3D3%5E%7B10-1%7D%3D19%2C683)
while the previous term would have been
![a_9=3^{9-1}=6561](https://tex.z-dn.net/?f=a_9%3D3%5E%7B9-1%7D%3D6561)
If you multiply, 120 and 1/3, you will get 40 as the height of his little brother.