Answer:
(
5
2
−
3
)
(
5
2
−
2
)
(
5
2
+
2
)
Step-by-step explanation:
The volume of a rectangular pyramid = 1/3 ×Area×height
=1/3×L×W×H
if the dimensions were doubled
therefore,
V=1/3 × (9×2)×(14×2)×(10×2)
=1/3×18×28×20
=3360 cubic centimetres
Answer: second option.
Step-by-step explanation:
In order to solve this exercise, it is necessary to remember the following properties of logarithms:
![1)\ ln(p)^m=m*ln(p)\\\\2)\ ln(e)=1](https://tex.z-dn.net/?f=1%29%5C%20ln%28p%29%5Em%3Dm%2Aln%28p%29%5C%5C%5C%5C2%29%5C%20ln%28e%29%3D1)
In this case you have the following inequality:
![e^x>14](https://tex.z-dn.net/?f=e%5Ex%3E14)
So you need to solve for the variable "x".
The steps to do it are below:
1. You need to apply
to both sides of the inequality:
![ln(e)^x>ln(14)](https://tex.z-dn.net/?f=ln%28e%29%5Ex%3Eln%2814%29)
2. Now you must apply the properties shown before:
![(x)ln(e)>ln(14)\\\\(x)(1)>2.63906\\\\x>2.63906](https://tex.z-dn.net/?f=%28x%29ln%28e%29%3Eln%2814%29%5C%5C%5C%5C%28x%29%281%29%3E2.63906%5C%5C%5C%5Cx%3E2.63906)
3. Then, rounding to the nearest ten-thousandth, you get:
![x>2.6391](https://tex.z-dn.net/?f=x%3E2.6391)
Answer:
In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.
s = 2(lw + lh + wh)
Divide each side by 2 : s/2 = lw + lh + wh
Subtract 'lh' from each side: s/2 - lh = lw + wh
Combine the 'w' terms: s/2 - lh = w(l + h)
Divide each side by (l + h): (s/2 - lh) / (l + h) = w