Answer:
The length of the side of the cube is 9cm.
Step-by-step explanation:
hope this helps!!!!!!!!!!!!!
Step-by-step explanation:C
Combustion reaction defined as reaction of compound with the oxygen gas along with release of the large amount heat,.
![4M_3N_x(s)+7xO_2(g)\rightarrow 4xNO_2(g)+6M_2O_x(s)](https://tex.z-dn.net/?f=4M_3N_x%28s%29%2B7xO_2%28g%29%5Crightarrow%204xNO_2%28g%29%2B6M_2O_x%28s%29)
When compound with nitrogen and metal atoms undergoes combustion reaction it gives nitrogen dioxide gas and solid metallic oxide of the metal as a products.
Compound X is nitrogen dioxide. ![NO_2](https://tex.z-dn.net/?f=NO_2)
Compound Y is metal oxide, ![6M_2O_x](https://tex.z-dn.net/?f=6M_2O_x)
![D)u=\mleft_{}](https://tex.z-dn.net/?f=D%29u%3D%5Cmleft%3C-4%2C-7%5Cmright%3E_%7B%7D)
1) We can find the magnitude of a vector(a.k.a. the norm) of a vector and the direction, by making use of the following formulas:
![\begin{gathered} \mleft\|v\mright\|=\sqrt[]{a^2+b^2} \\ \tan (\theta)=\frac{b}{a} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cmleft%5C%7Cv%5Cmright%5C%7C%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D%20%5C%5C%20%5Ctan%20%28%5Ctheta%29%3D%5Cfrac%7Bb%7D%7Ba%7D%20%5Cend%7Bgathered%7D)
2) In this question, the magnitude and the direction of that vector have been given to us. So, let's do the other way around to identify which one has this magnitude and direction.
![\begin{gathered} \mleft\|u\mright\|=\sqrt[]{(-4)^2+(-7)^2}=\sqrt[]{16+49}=\sqrt[]{65} \\ \tan (\theta)=\frac{-4}{-7} \\ (\theta)=\tan ^{-1}(\frac{-4}{-7}) \\ D=\tan ^{-1}(\frac{-4}{-7})-180 \\ D=-119.74+360 \\ D=240.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cmleft%5C%7Cu%5Cmright%5C%7C%3D%5Csqrt%5B%5D%7B%28-4%29%5E2%2B%28-7%29%5E2%7D%3D%5Csqrt%5B%5D%7B16%2B49%7D%3D%5Csqrt%5B%5D%7B65%7D%20%5C%5C%20%5Ctan%20%28%5Ctheta%29%3D%5Cfrac%7B-4%7D%7B-7%7D%20%5C%5C%20%28%5Ctheta%29%3D%5Ctan%20%5E%7B-1%7D%28%5Cfrac%7B-4%7D%7B-7%7D%29%20%5C%5C%20D%3D%5Ctan%20%5E%7B-1%7D%28%5Cfrac%7B-4%7D%7B-7%7D%29-180%20%5C%5C%20D%3D-119.74%2B360%20%5C%5C%20D%3D240.2%20%5Cend%7Bgathered%7D)
Note that since we want a positive value, we need to add 360 degrees.
Answer:
-1 i think
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
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