X+4=7
-4 -4
x=3
First subtract 4 from 4 and 7
Then keep the equal sign and x=3
The answer is C. -4n⁴+3n.
Separate the expression by its like terms.
12n-2n⁴-10n-2n⁴+n
12n+(-10n)+n=3n
-2n⁴+-2n⁴=-4n⁴
The simplified expression comes out to -4n⁴+3n.
Answer:
0.167, 0.164, 0.16
Step-by-step explanation:
In decimals, the closer it is to 1 the larger it gets. 0.167 is smaller than 0.164 because 0.164 is closer to one, which makes it greater.
In a group of 100 people, 2/5 prefer chicken soup, 4/10 prefer to eat hornado, and the rest prefer frying. What part of the group prefers frying ? How many people prefer each type of food ? (thank u google translate)...I guess
2/5 of 100 prefer chicken soup.....so thats 2/5 * 100 = 200/5 = 40 prefer chicken soup.
4/10 out of 100 prefer hornado (I dont even know what that is)...
4/10 * 100 = 400/10 = 40 prefer hornado.
and the rest prefer frying....100 - (40 + 40) = 100 - 80 = 20 (or 1/5) prefer frying
Answer:
![L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]](https://tex.z-dn.net/?f=L%28f%28t%29%29%20%3D%20%5Cdfrac%7B6%7D%7BS%5E2%2B1%7D%20%5B%5Csqrt%7B3%7D%20%5C%20S%20%2B1%20%5D)
Step-by-step explanation:
Given that:

recall that:
cos (A-B) = cos AcosB + sin A sin B
∴
![f(t) = 12 [cos\ t \ cos \dfrac{\pi}{6}+ sin \ t \ sin \dfrac{\pi}{6}]](https://tex.z-dn.net/?f=f%28t%29%20%3D%2012%20%5Bcos%5C%20%20t%20%5C%20%20cos%20%5Cdfrac%7B%5Cpi%7D%7B6%7D%2B%20sin%20%5C%20t%20%20%5C%20sin%20%5Cdfrac%7B%5Cpi%7D%7B6%7D%5D)
![f(t) = 12 [cos \ t \ \dfrac{3}{2}+ sin \ t \ sin \dfrac{1}{2}]](https://tex.z-dn.net/?f=f%28t%29%20%3D%2012%20%5Bcos%20%5C%20%20t%20%5C%20%5Cdfrac%7B3%7D%7B2%7D%2B%20sin%20%20%5C%20t%20%20%5C%20sin%20%5Cdfrac%7B1%7D%7B2%7D%5D)

![L(f(t)) = L ( 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t) ]](https://tex.z-dn.net/?f=L%28f%28t%29%29%20%3D%20L%20%28%206%20%5Csqrt%7B3%7D%20%5C%20cos%20%5C%20%28t%29%20%2B%206%20%5C%20sin%20%5C%20%28t%29%20%5D)
![L(f(t)) = 6 \sqrt{3} \ L [cos \ (t) ] + 6\ L [ sin \ (t) ]](https://tex.z-dn.net/?f=L%28f%28t%29%29%20%3D%206%20%5Csqrt%7B3%7D%20%5C%20L%20%5Bcos%20%5C%20%28t%29%20%5D%20%2B%206%5C%20L%20%5B%20sin%20%5C%20%28t%29%20%5D)



![L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]](https://tex.z-dn.net/?f=L%28f%28t%29%29%20%3D%20%5Cdfrac%7B6%7D%7BS%5E2%2B1%7D%20%5B%5Csqrt%7B3%7D%20%5C%20S%20%2B1%20%5D)