Answer:
When CPI data is collected, what does the index value represent. Prices used to compute CPI are collected during the entire month, and that data is published monthly. So, the index value represents an estimate of the price level for the month as a whole, rather than a specific date.
Step-by-step explanation:
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Answer:
x = 6
y = 3
Step-by-step explanation:
Give triangle is a right triangle.
By applying sine ratio in the given triangle,
sin(60)° = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7Bx%7D)
x = 6
Now we take the cosine ratio in the given triangle,
cos(60)° = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\frac{1}{2}=\frac{y}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7By%7D%7Bx%7D)
y = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
y = ![\frac{6}{2}=3](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B2%7D%3D3)
Therefore, x = 6 and y = 3 will be the answer.
![z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}](https://tex.z-dn.net/?f=z%3Df%28x%28u%2Cv%29%2Cy%28u%2Cv%29%29%2C%5Cbegin%7Bcases%7Dx%28u%2Cv%29%3D2u%2Bv%5E2%5C%5Cy%28u%2Cv%29%3D3u-v%5Cend%7Bcases%7D)
We're given that
and
, and want to find
.
By the chain rule, we have
![\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20v%7D%3D%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20x%7D%5Cdfrac%7B%5Cpartial%20x%7D%7B%5Cpartial%20v%7D%2B%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20y%7D%5Cdfrac%7B%5Cpartial%20y%7D%7B%5Cpartial%20v%7D)
and
![\dfrac{\partial x}{\partial v}=2v](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20x%7D%7B%5Cpartial%20v%7D%3D2v)
![\dfrac{\partial y}{\partial v}=-1](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20y%7D%7B%5Cpartial%20v%7D%3D-1)
Then
![\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20v%7D%281%2C2%29%3D%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20x%7D%286%2C1%29%5Cdfrac%7B%5Cpartial%20x%7D%7B%5Cpartial%20v%7D%281%2C2%29%2B%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20y%7D%286%2C1%29%5Cdfrac%7B%5Cpartial%20y%7D%7B%5Cpartial%20v%7D%281%2C2%29)
(because the point
corresponds to
)
![\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}](https://tex.z-dn.net/?f=%5Cimplies%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20v%7D%281%2C2%29%3D3%5Ccdot2%5Ccdot2%2B%28-1%29%5Ccdot%28-1%29%3D%5Cboxed%7B13%7D)
Answer:
B. The shape can be broken into a rectangular prism and a rectangular pyramid.
C. The formula for the volume of this figure is V = B h + one-third B h.
D. The volume of the container is 2,760 centimeters cubed.
Step-by-step explanation:
I did the edge test.
Answer:
The last answer choice.
Step-by-step explanation:
8/10 is equal to 0.80, so that's the answer! Hope it helps!