There are 4 and 1/3 servings of yogurt in the container.
Answer:
![y=-67.5[cos(\frac{\pi}{15}t)-1]](https://tex.z-dn.net/?f=y%3D-67.5%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B15%7Dt%29-1%5D)
Step-by-step explanation:
We can start solving this problem by doing a drawing of London Eye. (See attached picture).
From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

where:
A=amplitude
= angular speed.
t= time (in minutes)
b= vertical shift.
In this case:
A= radius = 67.5 m

where the frequency is the number of revolutions it takes every minute, in this case:

so:


and
b= radius, so
b=A
b=67.5m
so we can now build our equation:

which can be factored to:
![y=-67.5[cos(\frac{\pi}{15}t)-1]](https://tex.z-dn.net/?f=y%3D-67.5%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B15%7Dt%29-1%5D)
You can see a graph of what the function looks like in the end on the attached picture.
Answer:
D.
Step-by-step explanation:
3(5)+2 > 14= 17>14 which is true
10-5 less than or equal to 7
true, 5 is less than 7
The first one is A. And Sowy but meh don't know the second one...
Answer:
<u>k = 1.5</u>
Step-by-step explanation:
To find the value of k, at first we will find the point of intersection of the lines
y =2x –5 and y = –x+1
Solve the equations to together by equating the values of y
So, 2x - 5 = -x + 1
Solve for x
3x = 6 ⇒ x = 6/3 = 2
So, y = -x + 1 = -2 + 1 = -1
So, the point of intersection of the lines ⇒ (2,-1)
line y = kx –4 pass through the point of intersection of the lines
so, line y = kx –4 pass through the point (2,-1)
So, at x = 2 , y = -1
∴ -1 = 2k - 4
Solve for k
-1 + 4 = 2k
2k = 3
k = 3/2 = 1.5
<u>So, the value of k is 1.5</u>