Answer:
B
Step-by-step explanation:
9+9+6+6=18+12=30
hope it helps :)
Answer:
68°
Step-by-step explanation:
22°+68°=90° ......
Answer:
b. ![\frac{1}{y^3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7By%5E3%7D)
Step-by-step explanation:
Here we are given
and are asked to simplify it. We are going to apply the law of exponents which says that
![a^{-n}=\frac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D)
Hence applying this rule in our problem we get, where a=y and n=3
![y^{-3}=\frac{1}{y^3}](https://tex.z-dn.net/?f=y%5E%7B-3%7D%3D%5Cfrac%7B1%7D%7By%5E3%7D)
Hence our C) Option is correct
The knowledge of various three dimensional shapes can allow you maximize shipping efforts to reduce cost by utilizing the whole volume of a package.
<u>Answer-</u>
<em>The cubic equation-</em>
<em>
</em>
<em>Milk consumption in 1994 was </em><em>58.4 pounds.</em>
<u>Solution-</u>
The general form of a cubic model is,
![f(x)=ax^3+bx^2+cx+d](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E3%2Bbx%5E2%2Bcx%2Bd)
x = input variable = year - 2000 i.e number years after 2000
y = output variable = milk consumed in pounds
Then putting the values from the table,
![2.592=a(3)^3+b(3)^2+c(3)+d](https://tex.z-dn.net/?f=2.592%3Da%283%29%5E3%2Bb%283%29%5E2%2Bc%283%29%2Bd)
--------------------------1
![13.301=a(39)^3+b(39)^2+c(39)+d](https://tex.z-dn.net/?f=13.301%3Da%2839%29%5E3%2Bb%2839%29%5E2%2Bc%2839%29%2Bd)
-------------2
![20.41=a(56)^3+b(56)^2+c(56)+d](https://tex.z-dn.net/?f=20.41%3Da%2856%29%5E3%2Bb%2856%29%5E2%2Bc%2856%29%2Bd)
-------------3
![63.359=a(97)^3+b(97)^2+c(97)+d](https://tex.z-dn.net/?f=63.359%3Da%2897%29%5E3%2Bb%2897%29%5E2%2Bc%2897%29%2Bd)
------------4
Solving equations (1), (2), (3) and (4) simultaneously we get,
![a=0.00009121,\\\\b=-0.00666099,\\\\c=0.427014,\\\\d=1.36845](https://tex.z-dn.net/?f=a%3D0.00009121%2C%5C%5C%5C%5Cb%3D-0.00666099%2C%5C%5C%5C%5Cc%3D0.427014%2C%5C%5C%5C%5Cd%3D1.36845)
So, the equation becomes,
![f(x)=0.00009121x^3-0.00666099x^2+0.427014x+1.36845](https://tex.z-dn.net/?f=f%28x%29%3D0.00009121x%5E3-0.00666099x%5E2%2B0.427014x%2B1.36845)
In order to get the milk consumption in 1994, putting x=94
![=0.00009121(94)^3-0.00666099(94)^2+0.427014(94)+1.36845](https://tex.z-dn.net/?f=%3D0.00009121%2894%29%5E3-0.00666099%2894%29%5E2%2B0.427014%2894%29%2B1.36845)
![=(0.00009121)\cdot (830584)-(0.00666099)\cdot (8836)+(0.427014)\cdot (94)+(1.36845)](https://tex.z-dn.net/?f=%3D%280.00009121%29%5Ccdot%20%28830584%29-%280.00666099%29%5Ccdot%20%288836%29%2B%280.427014%29%5Ccdot%20%2894%29%2B%281.36845%29)
![=58.4088](https://tex.z-dn.net/?f=%3D58.4088)
Therefore, milk consumption in 1994 was 58.4 pounds.