Then move all terms not containing x from the center section of the inequality.
-2<x<3
<h3>Answer: C) none of the equations are identities</h3>
If you plugged theta = 0 into the first equation, then you would have
sin(45) + cos(45) = sin(0) + cos(0)
sqrt(2) = 1
which is a false equation. We don't have an identity here.
The same story happens with the second equation. Plug in theta = 0 and it becomes
cos(60) - sin(60) = cos^2(0) + tan(0)
1/2 - sqrt(3)/2 = 1 + 0
-0.37 = 1
which is false.
Answer:
![\large\boxed{\dfrac{27}{80}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B27%7D%7B80%7D%7D)
Step-by-step explanation:
Put x = 3, y = 2 and z = 5 to the given expression
:
![10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}](https://tex.z-dn.net/?f=10%283%5E3%29%282%5E%7B-5%7D%29%285%5E%7B-2%7D%29%5Cqquad%5Ctext%7Buse%7D%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5C%5C%5C%5C%3D%5Cdfrac%7B10%2827%29%7D%7B%282%5E5%29%285%5E2%29%7D%3D%5Cdfrac%7B270%7D%7B%2832%29%2825%29%7D%3D%5Cdfrac%7B270%7D%7B800%7D%3D%5Cdfrac%7B27%7D%7B80%7D)
Answer:
36
Step-by-step explanation:
Divide the carton weight by the weight of 1 jar
27 ÷ ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
= 27 × ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
= ![\frac{27(4)}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B27%284%29%7D%7B3%7D)
= ![\frac{108}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B108%7D%7B3%7D)
= 36
There are 36 jars in a carton