Answer:
By next September, the estimated population would be 284 cottontail rabbits
Step-by-step explanation:
The formula that express the growth of the rabbits is
Y = 175(2.7)0.05t
Y = number of rabbits
Where t = time in months.
The growth of the rabbits in 12 months would be. Since from one September to another equal 1 year which is 12 months.
Y = 175(2.7)0.05(12)
Y = 283.5 = 284 rabbits
The estimated population of cottontail rabbits by next September is 284 rabbits
Answer:
Option B. is the answer.
Step-by-step explanation:
The given question is incomplete without the attachment; here is the attachment enclosed with the answer.
Since coordinates of the point representing rock is (3, 2) and coordinates of the tree are (16, 21) and treasure divides the line joining rock and tree in the ratio of 5:9.
We know the formula to get the coordinates of point P(x, y) joining (a, b) and (c, d) in the ratio of m : n is
P(x, y) = ![[\frac{(mc+na)}{m+n}, \frac{(md+nb)}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28mc%2Bna%29%7D%7Bm%2Bn%7D%2C%20%5Cfrac%7B%28md%2Bnb%29%7D%7Bm%2Bn%7D%5D)
From the given formula,
Coordinates of treasure P = ![[\frac{((5\times 16)+(9\times 3)}{(5+9)}, \frac{(5\times 21)+(9\times 2)}{(5+9)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28%285%5Ctimes%2016%29%2B%289%5Ctimes%203%29%7D%7B%285%2B9%29%7D%2C%20%5Cfrac%7B%285%5Ctimes%2021%29%2B%289%5Ctimes%202%29%7D%7B%285%2B9%29%7D%5D)
= ![[\frac{(80)+(27)}{(14)}, \frac{(105)+(18)}{(14)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%2880%29%2B%2827%29%7D%7B%2814%29%7D%2C%20%5Cfrac%7B%28105%29%2B%2818%29%7D%7B%2814%29%7D%5D)
= ![[7.64, 8.78]](https://tex.z-dn.net/?f=%5B7.64%2C%208.78%5D)
≈ (7.6, 8.8)
Therefore, Option B will be the answer.
Answer:
141
Step-by-step explanation:
convert to standard form then use D= B squared -4ac
5 less (-5) than 1/3 of number (n/3) is (=) 2 more than (2+) half of the number (n/2)
-5+n/3=2+n/2
add 5 to both sides
n/3=n/2+7
times 6 both sides
2n=3n+42
minus 2n both sides
0=n+42
minus 42 boh sides
-42=n
the number is -42
the number is 18
