Answer:
To reduce the weight by 10 lbs you need to remove two reams of paper, leaving you with 10 reams. The only way to fit these into a cuboid would be 5 stacks of 2, 2 stacks of 5, 1 stack of 10 or 10 stacks of 1. You need to figure out the dimensions of paper arranged like that then work out the surface area. Obviously 1 x 10 or 10 x 1 will be stupid because the box would be awkward to carry, so the correct answer will be whichever of the other two gives you the least surface area (and therefore requires the least packaging). I guess you also need to consider the relative orientations of the stacks - long end to long end or short end to short end.
When filled, what is the weight of the paper in the current-sized box?_____pounds <em>10*5=50 lb
</em>
I might have not answered all parts of the question but I answered the ones I know (lol)
Hope that was helpful.Thank you!!!
Answer:
![\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
Step-by-step explanation:
<u>Exponential Function</u>
The exponential function can be written with the general equation:
![f(x)=A\cdot r^x](https://tex.z-dn.net/?f=f%28x%29%3DA%5Ccdot%20r%5Ex)
Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.
The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.
Substituting in the third function:
![\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
![\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%280%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E0)
![f(0) = 4](https://tex.z-dn.net/?f=f%280%29%20%3D%204)
This gives the correct value of f(0)=4.
Substituting in the fourth function:
![\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
![\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%280%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E0)
![f(0) = \frac{1}{2}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
This choice is wrong
Correct choice:
![\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20f%28x%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex%7D)
Three Hundred Forty-Four Divided By Two Is One Hundred Seventy-Two.
Answer:
a) en cuántas filas la suma es igual?
2+7+2+0+2=13
0+1+6+1+0=8
2+0+2+8+1=13
es igual en dos filas la primera y la última
b)en cuántas columnas la suma es igual?
2+0+2=4
7+1+0=8
2+6+2=8
0+1+8=9
2+0+1=3
es igual en dos columnas la segunda y la tercera
listo :)
Step-by-step explanation:
Answer:
The two rates are 6% and 8%
Step-by-step explanation:
Call the two rates r1 and r2. Call p the principal. Write down the problem as an equation system:
![p\cdot r_1 = 300\\p \cdot r_2 = 400\\r_2-r_1 = 0.02](https://tex.z-dn.net/?f=p%5Ccdot%20r_1%20%3D%20300%5C%5Cp%20%5Ccdot%20r_2%20%3D%20400%5C%5Cr_2-r_1%20%3D%200.02)
which are 3 equations with 3 unknowns, so they can be solved. I first divide the two equations to get:
![p\cdot r_1 = 300\\p \cdot r_2 = 400\\\implies r_1 = \frac{3}{4}r_2](https://tex.z-dn.net/?f=p%5Ccdot%20r_1%20%3D%20300%5C%5Cp%20%5Ccdot%20r_2%20%3D%20400%5C%5C%5Cimplies%20r_1%20%3D%20%5Cfrac%7B3%7D%7B4%7Dr_2)
and use that in the third:
![r_2-r_1 = 0.02\\r_2-\frac{3}{4}r_2=0.02\\r_2=0.08 \implies r_1=0.06](https://tex.z-dn.net/?f=r_2-r_1%20%3D%200.02%5C%5Cr_2-%5Cfrac%7B3%7D%7B4%7Dr_2%3D0.02%5C%5Cr_2%3D0.08%20%5Cimplies%20r_1%3D0.06)
The two rates are 6% and 8%