The linear speed of one of the cars is 7.75 feet per second
The cars (seats) of a Ferris wheel are positioned 74 feet from its center.
The radius, r = 74 feet
The Ferris wheel makes 4 revolutions every 4 minutes
Number of revolutions per minute = 1
Angular speed, w = 1 rev/min
Angular speed, w = 0.10472 rad/sec
The relationship between the linear speed (v), and the angular speed (w) is:
v = wr
Substitute w = 0.10472 and r = 74 feet into the formula:
v = 0.10472 x 74
v = 7.75 feet per second
The linear speed of one of the cars is 7.75 feet per second
Learn more on linear speed here: brainly.com/question/4357151
Answer:
In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
<h3>
Answer: 300</h3>
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Explanation:
One general template of exponential functions is
f(x) = a*(b)^x
The 'a' is the initial amount, which in this case is a = 300
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Extra info:
The b is the base of the exponential, which is b = 1.16
The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.
Answer:
The equivalent expressions are;
9x + 9
and
9(x + 1)
Step-by-step explanation:
Mathematically, we should understand that an equilateral triangle has all of its sides equal
So if one side is 3x+ 3, the other sides too measures same
Therefore, the length of the rope represents the perimeter of the triangle
This is obtainable by adding all the side lengths together
This will be;
3x + 3 + 3x + 3 + 3x + 3 = 9x + 9
This is also same as 9(x + 1)
