Answer:
- <em><u> It begins to move toward the right</u></em>
Explanation:
The given information can be summarized in this way:
- First force vector: Fg = - 8N (vertical down)
- Second force vector: Ft = 6N (horizonal right)
- Third force vector: FN = 8N (vertical up)
- Fourth vector: Ff = - 4N (horizontal left)
Following Newton's second law, net force equal mass times acceleration:
- Net force = mass × acceleration
To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)
- <u>Vertical force balance:</u>
Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.
- <u>Horizontal force balance:</u>
Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.
A geometric series is written as 
, where 
is the first term of the series and 
is the common ratio.
In other words, to compute the next term in the series you have to multiply the previous one by .
Since we know that the first time is 6 (but we don't know the common ratio), the first terms are
.
Let's use the other information, since the last term is 
, we know that 
, otherwise the terms would be bigger and bigger.
The information about the sum tells us that
We have a formula to compute the sum of the powers of a certain variable, namely
So, the equation becomes
The only integer solution to this expression is 
.
If you want to check the result, we have
and the last term is
Printer A
y = 14x
Printer B
Time(min) | 3 | 5 | 8 | 12 |
Pages printed | 48 | 80 | 128 | 192 |
Printer A prints 14(1) = 14 pages per minute.
Printer B prints 48/3 = 16 pages per minute.
The printer that prints at a faster rate is printer B.
C. y= -28/x
y=k/x
cross multiply
k= y×x
k = -2×14
k = -28
y = -28/x [ equation connecting x and y]
