Answer:
sgsrgrsdg
Step-by-step explanation:
Answer:
a) r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
- rabbit food consumed during the 10th year is approximately 832 pounds
- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
Step-by-step explanation:
Given that:
r1 = 30 and a farm grows by 12%
a = 30 and the common ratio r = 1.12
now
n r
1 30.00
2 33.60
3 37.63
4 42.15
5 47.21
6 52.87
7 59.21
8 66.32
9 74.28
10 83.19
11 93.18
12 104.36
Therefore r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
if each rabbit consume 10 lbs of rabbit food each year
n r food consumed(lbs)
1 30.00 300
2 33.60 336
3 37.63 376
4 42.15 422
5 47.21 472
6 52.87 529
7 59.21 592
8 66.32 663
9 74.28 743
10 83.19 832
total 5265
Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds
And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
Answer:
Given : Expression -![x^3y^3+343](https://tex.z-dn.net/?f=x%5E3y%5E3%2B343)
To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.
Solution :
The formula of sum of cubes is,
![a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)](https://tex.z-dn.net/?f=a%5E3%2Bb%5E3%3D%5Cleft%28a%2Bb%5Cright%29%5Cleft%28a%5E2-ab%2Bb%5E2%5Cright%29)
First we convert the given expression in ![a^3+b^3](https://tex.z-dn.net/?f=a%5E3%2Bb%5E3)
![x^3y^3+343](https://tex.z-dn.net/?f=x%5E3y%5E3%2B343)
Apply exponent rule : ![a^mb^m=(ab)^m](https://tex.z-dn.net/?f=a%5Emb%5Em%3D%28ab%29%5Em)
![x^3y^3=(xy)^3](https://tex.z-dn.net/?f=x%5E3y%5E3%3D%28xy%29%5E3)
Rewrite ![343=7^3](https://tex.z-dn.net/?f=343%3D7%5E3)
Therefore,
could be written as ![=\left(xy\right)^3+7^3](https://tex.z-dn.net/?f=%3D%5Cleft%28xy%5Cright%29%5E3%2B7%5E3)
On comparison with the formula,
a=xy , b=7
![\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)](https://tex.z-dn.net/?f=%5Cleft%28xy%5Cright%29%5E3%2B7%5E3%3D%28xy%2B7%29%28xy%5E2-xy%287%29%2B7%5E2%29)
Answer:
25 boys.
Step-by-step explanation:
To solve this problem, first add the two parts of the ratio. 9 + 5 = 14. Then divide 70 by 14 to get 5. Since the total is 5 times the ratio total, multiply both sides of the ratio by 5. The result is 45 : 25. If you add them together, you get a total of 70. Therefore, there are 25 boys in the class.
Answer:
it is .25 :)
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