Answer:
5 hrs
Step-by-step explanation:
7 1/2 hours equates to 450 minutes total
2/3 of 450 = 300 total minutes
turning the minutes back into hours, 300 / 60 = <u>5</u>
Answer:
2/9
Step-by-step explanation:
y=6(3)^x
Let x =-3
y = 6 * 3^-3
Remember negative exponents move it from the numerator to the denominator
y = 6 *1/3^3
y = 6 * 1/27
y = 6/27
y = 2/9
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Answer:
Part A) Circumference
Part B) 
Part C) The distance traveled in one rotation is 628.32 feet
Step-by-step explanation:
Part A) we know that
The distance around the circle is equal to the circumference.
The Ferris Wheel have a circular shape
so
To find out the distance around the Ferris Wheel you should use the circumference
Part B) What is the formula needed to solve this problem?
we know that
The circumference is equal to multiply the number π by the diameter of the circle
so
Part C) What is the distance traveled in one rotation?
we know that
One rotation subtends a central angle of 360 degrees
The distance traveled in one rotation is the same that the circumference of the Ferris wheel
we have
----> diameter of the Ferris wheel
substitute in the formula of circumference
assume
therefore
The distance traveled in one rotation is 628.32 feet
Only once, any number higher will pass it
