Answer:
a. d = 1500 - 300t. b. after 2 hours and after 4 hours
Step-by-step explanation:
a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t is given by
d = 1500 - 300t.
b.If Jamie distance d = 900 ft, then the equation becomes,
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
The equation d = 1500 - 300t. also models his distance from the peak of the mountain if he hikes down at a constant rate of 300 ft/hr
At d = 900 ft, the equation becomes
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.
So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.
Answer:
The inequality to represent the situation is and the team must sell at least "Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for each.
If the football team needs to raise at least for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold "Jaguar Cards" for each.
Now, the football team needs to raise at least for equipment.
So, the inequality to represent the situation is .
Now, on solving we get,
Hence, the inequality to represent the situation is and the team must sell at least "Jaguar Cards".
The nth term of an arithmetic sequence is found from:
Plugging in the given values, we get for the 13th term:
-58=14+12d
12d =-58 - 14 = -72
d = -6
So, the 32nd term is:
no it's 22 :D...............