What you want to do with this equation is make a triangle connecting the two points you have and count the distance (rise/run) for this you would get 6/1 !
Because it is an isosceles triangle, the two base angles have to be the same, so
36°+36°=72°
angles in all triangles add up to 180°, so
180°-72°=108°
unknown=108°
Answer:
∑ (-1)ⁿ⁺³ 1 / (n^½)
∑ (-1)³ⁿ 1 / (8 + n)
Step-by-step explanation:
If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.
Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).
Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).
Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.
Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Answer:
With $30, Peter can afford 5 hours
Step-by-step explanation:
Given
Insurance Charge = $7.5
Charges = $4.5 per hour
Required
Determine the number of hours $30 can afford
First, we need to determine the equation.
<em>Total Charges = Charges per hour + Insurance Charge</em>
Substitute values for Charges per hour and Insurance Charge
Total Charges = 4.5 per hour + 7.5
Let the number of hours be n;
So,
Total Charges = 4.5n + 7.5
To calculate Peter's; substitute 30 for total charges
Subtract 7.5 from both sides
Divide both sides by 4.5
Hence;
<em>With $30, Peter can afford 5 hours</em>
This is what I got I tried to underline to show u what I was doing and and how I did it
