Answer:
1) c 2)c 3)b
Step-by-step explanation:
P + s = 200......p = 200 - s
20p + 15s = 3400
20(200 - s) + 15s = 3400
4000 - 20s + 15s = 3400
-20s + 15s = 3400 - 4000
-5s = - 600
s = -600/-5
s = 120 <=== there were 120 standard tickets sold
p + s = 200
p + 120 = 200
p = 200 - 120
p = 80 <=== there were 80 premium tickets sold
(-5,-8)
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
Answer:
37 units
Step-by-step explanation:
The two points form a right triangle so
a²+b²=c² so
(8-20)²(x values)+(40-5)²(y values)=c² (distance) so
12²+35²=c² so
144+1225=c²
1369=c²
c=37 units
I suppose the integral could be
In that case, since 
as 
, we know 
. We also have 
, so the integral is approach +1 from below. This tells us that, by comparison,
and the latter integral is convergent, so this integral must converge.
To find its value, let 
, so that 
. Then the integral is equal to
![\displaystyle\int_{-1/7}^0e^u\,\mathrm du=e^0-e^{-1/7}=1-\frac1{\sqrt[7]{e}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-1%2F7%7D%5E0e%5Eu%5C%2C%5Cmathrm%20du%3De%5E0-e%5E%7B-1%2F7%7D%3D1-%5Cfrac1%7B%5Csqrt%5B7%5D%7Be%7D%7D)
