tomorrow joelle wants to travel a total of 4 miles by walking and running. she plans to run for 20 minutes at a rate of 6 miles
1 answer:
Answer:
40 minutes
Step-by-step explanation:
Joelle wants to run for 20 minutes at rate 6 miles per hour so the distance traveled in this duration will be calculated by multiplying speed and time(in hours).
So, distance traveled in 20 minutes = = 2 miles.
As Joelle have to travel total 4 miles, the distance remaining after 20 minutes of traveling = 4 - 2 = 2 miles.
Now she has to walk for the remaining distance i.e. 2 miles with a speed of 3 miles/hour.
The time required to travel 2 miles will be calculated by dividing distance with speed.
So, time required = hours.
Thus time in minutes = = 40 minutes.
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Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is:
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
...(iii)
Dividing (iii) by (ii), we get
Putting in (ii), we get
Putting in (i), we get
The required exponential function for the given table of values is . So, the missing values are 2 and x, where 2 is in the base and x is in the power.