Answer:
John will need 34 more tickets to be able to go on all the rides he wants
Step-by-step explanation:
To solve this, we need to first of all know the total cost in terms of tickets of all the rides that john wants to have.
This will be
cost of roller coaster ride = 19 tickets
cost of bumper car ride = 3 tickets
cost of merry-go-round ride = 33 tickets
Total cost of rides = 19 + 3 + 33 =55 tickets
Next, we will need to find the number of tickets that John has left after losing 10 of them.
This will be 31 - 10 = 21 tickets left
To find the number of more tickets that John needs , we will subtract the number of tickets he has left from total ride ticket cost.
This will be 55-21 = 34 tickets.
Hence, John will need 34 more tickets to be able to go on all the rides he wants
When you’re adding unlike terms think of the term as a last name. You could never add two last names because that wouldn’t make sense. But with multiplying you don’t need to worry about the “last name”.
Answer: 18080!
Step-by-step explanation:400 x 450
1. Multiplying from the oneths place ( turning 45.2 into 450)
2x0=0 2x0=0 2x4=8 = So the first answer is 800
2. Multiply from the tenths place
5 x 0 = 0 5 x 0 = 0 5 x 4 = 20 = the second answer is 2000
Multiplying the hundredths place
4 x 0 = 0 4 x 0 = 0 4 x 4 = 16 = The third answer is 1600
800 + 2000 + 1600 = 18080 Hope this helped! :)
Answer:
The asymptotes are the x-values for which the tangent function is not defined. We draw these in to remind us that the function does not cross that line. They are the odd multiples of 90°
Answer:
(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
(b) 
Step-by-step explanation:
Given
![f(x) = e^{-4x};\ [0,2]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20e%5E%7B-4x%7D%3B%5C%20%5B0%2C2%5D)
Solving (a); Does the function satisfy M.V.T on the given interval
We have:
The above function is an exponential function, and it is differentiable and continuous everywhere
Solving (b): The value of c
To do this, we use:
In this case:
![[a,b] = [0,2]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D%20%3D%20%5B0%2C2%5D)
So, we have:
Calculate f(2) and f(0)
So:
This gives:
Note that:
This implies that:
So, we have:
Divide both sides by -4
Take natural logarithm of both sides
Apply law of natural logarithm
So:
Solve for c
