Answer:
at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
Step-by-step explanation:
Data provided in the question:
height in feet above ground of a seat on the wheel at time t seconds is
modeled as
h(t) = 
now,
at height 53 above the ground, we get the equation as:
53 = 
or
= 53 - 53
or
= 0
also,
sin(0) = 0
and,
sin(π) = 0
therefore,
= 0
or

or
t = 8 seconds
and,
= π
or
or
or
t = 24 seconds
Hence,
the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
63+12x<15
12x<-48 (subtract 63 from both sides)
x<-4 (divide out the 12)
The given equation is:

We have to find, which of the given set of parametric equations given in the options, result in the above equation:
The correct answer would be option A.
The equations in option A are:

From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:
Therefore, the correct answer is option A
Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
I think it is $30 since it has the highest probability.