Answer:
X=30
Step-by-step explanation:
y=kx
6=10k
k=0.6
y=0.6x
18=0.6x
X=18/0.6
x=30
Answer:
no
Step-by-step explanation:
The only question here seems to be ...
Have you ever been on or seen a ride like this at a fair or amusement park?
__
I have not seen such a ride.
An arithmetic sequence (a_n) is as follows:
![a_1\\a_2=a_1+d\\a_3= a_1+2d\\a_4=a_1+3d,...](https://tex.z-dn.net/?f=a_1%5C%5Ca_2%3Da_1%2Bd%5C%5Ca_3%3D%20a_1%2B2d%5C%5Ca_4%3Da_1%2B3d%2C...)
where
![a_1](https://tex.z-dn.net/?f=a_1)
is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
in our particular case d=5, the third term is 8, so we have:
![a_3=8=a_1+2\cdot5\\\\8=a_1+10\\\\a_1=-2](https://tex.z-dn.net/?f=a_3%3D8%3Da_1%2B2%5Ccdot5%5C%5C%5C%5C8%3Da_1%2B10%5C%5C%5C%5Ca_1%3D-2)
and the general term is
![a_n=-2+5(n-1)](https://tex.z-dn.net/?f=a_n%3D-2%2B5%28n-1%29)
,
Answer: first term is -2, n'th term is -2+5(n-1)
Answer:
The integrals was calculated.
Step-by-step explanation:
We calculate integrals, and we get:
1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}
2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}
3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}
4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}
5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=
=\frac{3π+8}{64}
6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x
7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}
8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x
The answer is c. My dude good luck