Answer:
15.5 feet
Step-by-step explanation:
Given:
Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder.
She needs 6 pieces of rope each 15 inches long for the steps.
Question asked:
How many feet of rope does patty need to make the ladder ?
Solution:
She needs for the sides of the ladder = Two 4 foot pieces of rope
= 2
4 feet = 8 feet
She needs for the steps of the ladder = 6 pieces of 15 inches long rope
= 6
15 inches = 90 inches
Convert 90 inches into feet:-
12 inches = 1 feet
1 inches = 
90 inches = 
Patty needs total rope = 8 feet + 7.5 feet
= 15.5 feet
Thus, Patty needs 15.5 feet of rope to make the ladder.
Let's compute the speeds as she goes up and down of the climbing wall. Speed is the ratio of distance to time.
Speed going up = 5 ft/(2min * 60 s/1 min) = 1/24 ft/s
Speed going down = 2 ft/10 s = 0.2 ft/s
Net speed = 1/24 ft/s - 0.2 ft/s = 5/24 ft/s
Using this net speed, we can already calculate for the total time:
Speed = Distance/Time
5/24 ft/s = 26 ft/Time
Time = 124.8 seconds or 2.08 minutes
Answer:
The function is
.
Step-by-step explanation:
We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).
Now, the exponential function in the option III will be the answer.
The function is
.
So, the base is
=
. (Answer)
The general formula of an exponential function is
, where b is called the base of the function.
The range of a function is representative of the values on the y-axis. In this case, the graph will contain distance on the y-axis at is the dependent variable, while the independent variable is time.
We know that the minimum value of the distance will be 0, given that there can be no negative distance. Moreover, the maximum value is 26.2 miles, since the marathon will then be over. Therefore, a good range for the situation will be 0-27 miles.