Let t be time and r be rate, then if time varies inversely with the rate, the equation is
. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.
. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:
and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
Measure of angle 2 would be 130 degrees because since it forms a linear pair the two angles added together have to equal 180 degrees so
180 - 50 = 130
The domain of the function f(x) is: -6 < x ≤ 4, and the value that is in the domain of the function f(x) is 4
<h3>How to determine the value in the domain?</h3>
The function is given as:
f(x) = 2x + 5, -6 < x ≤ 0
f(x) = 2x + 3, 0 < x ≤ 4
The above means that the domain of the function f(x) is:
-6 < x ≤ 0 and 0 < x ≤ 4
When combined, we have:
-6 < x ≤ 4
This means that x is greater than -6 but does not exceed 4
Hence, the value that is in the domain of the function f(x) is 4
Learn more about function domain at:
brainly.com/question/1770447
#SPJ1
Since we have
where P is the pression, F is the force and S is the surface, we can solve the formula for the force as follows
In order to have consistent units of measure, we convert
and we plug the values:
Answer: 2.17 feet
Step-by-step explanation:
First find the circumference of the cycle.
The bicycle made five rotations and that covered 34.02 feet. The rotation (circumference) of the cycle is the single rotation distance:
= 34.02 / 5
= 6.804 ft
Circumference = Pie * Diameter
6.804 = 3.14 * Diameter.
Diameter = 6.804 / 3.14
= 2.17 feet