Mary ran at a steady speed in a 10-mile race. Her finish time was 2 hours. Mary can bike the same distance in
hour. Mary wants to know her running speed and biking speed in miles per hour.
Which fraction represents Mary's running
speed in miles per hour?
1/2/10, 1/2, 10/2, or 10/1/2?

We want to get Mary's running speed and biking speed. We will get that her running speed is 5 mi/h, while her biking speed is 10 mi/h.

First, you need to remember that speed is defined as the rate at which the position changes with respect to the time.

Then we can write:

When she runs, she completes a distance of 10 miles in a time of 2 hours, then her running speed is:

When she bikes, she completes that distance in 1 hour, then her biking speed is:

If you want to learn more about speed, you can read:

link

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

they disappear if your absent from to long. i found out that the hard way.

step-by-step explanation:

brainliest lol i just need one more brainliest.