Answer:
8x+140=180
8x=40
x=5°
Step-by-step explanation:
Sum of angles in a straight line=180°
Answer:
7
Step-by-step explanation:
I'm guessing the series is supposed to be

By the ratio test, the series converges if the following limit is less than 1.

The first

terms in the numerator's denominator cancel with the denominator's denominator:


also cancels out and the remaining factor of

can be pulled out of the limit (as it doesn't depend on

).

which means the series converges everywhere (independently of

), and so the radius of convergence is infinite.
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:

Where g is the acceleration of gravity 
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:

Substituting:

t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
Because it's perpendicular, you know that they must have the same slope, -3/2. So, just factor that and the point into the slope-point form to get
y = -3/2x