The time it takes to travel to a destination varies inversely with the average speed. It takes two hours when the average speed is 40mph. If the average speed changes to 80mph, what is the new travel time?

1 hour

Step-by-step explanation:

The time it takes to travel to a destination varies inversely as its speed

T= k/S

K= TS

Time= 2 hours

Speed= 40mph

K= 2×40

= 80

Therefore if the average speed changes to 80mph then the new travel time can be calculated as follows

T= 80/80

= 1 hour

Hence the new travel time is 1 hour

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}

1,150 give brainliest

step-by-step explanation

2r= 2300

r =1150