Answer: she would catch up with Tom in 1 hour.
Step-by-step explanation:
Let t represent the time it will take for Mary to catch up with Tom.
Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.
Distance = speed × time
Distance travelled by Tom in t hours is
25 × t = 25t
Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour
Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in
(t - 10/60) hours is
30(t - 10/60)
= 30t - 5
By the time she catches up with Tom, they would have covered the same distance. It means that
25t = 30t - 5
30t - 25t = 5
5t = 5
t = 5/5 = 1 hour
Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
<u />a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500<u />
1/18.
.
P = p1 x p2 = 1/6 × 2/6 = 1/18
.
Prob of getting 3 is 1/6, and prob of getting different odd number ie 1 or 5 is 2/6.
<u>Given</u>:
The point P' is the image of the point P under the translation 
The coordinates of the point P are (6,0)
We need to determine the coordinates of the point P'
<u>Coordinates of the point P':</u>
The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.
Thus, substituting the coordinates, we have;
Simplifying the coordinates, we get;
Thus, the coordinates of the point P' is (0,-1)
Answer:
r^12 t^12
Step-by-step explanation:
