Answer:
Step-by-step explanation:
XY = 15 MI.
YZ = 8 mi.
Area = A
A = 1/2 (XY)(YZ)
A = 1/2 (15)(8)
A = 1/2 (120)
A = 60
Answer:
Their bide ride was 1 hour and 42 minutes
Answer: At t=0.015 hours when the car 0.6 miles from the check point.
Step-by-step explanation:
Since we have given that
Distance traveled by him towards a speed check point = 1.4 miles
Speed at which he is travelling = 52 miles per hour
Let the time taken by him be x
Since we have the equation

where<em> </em><em>d</em><em> </em>denotes distance
and <em>t </em>denotes time.
If we have given that the car 0.6 miles from the check point.
So, we put the value of <em>d</em> in place of it .

So, at t=0.015 hours when the car 0.6 miles from the check point.
This would be 6:45 PM, or 18:45 in 24 hour time.
Hope this helps :)
Answer:
Convergent
Step-by-step explanation:
This is an alternating series where bn = 2n / eⁿ. Apply the alternating series test:
lim(n→∞) bn
= lim(n→∞) (2n / eⁿ)
Use L'hopital's rule:
= lim(n→∞) (2 / eⁿ)
= 0
For n ≥ 1, the series is decreasing. 2(n+1) / eⁿ⁺¹ < 2n / eⁿ.
Therefore, the series converges.