Mathematics, 15.07.2019 11:30 bankzdown

You have jogged 5 miles from the park at a rate of r miles per hour. on your way back to the park your average speed increases by 1 mile per hour. a. write an expression for the time t (in hours) it takes to jog 5 miles from the park as a function of your average speed r (in miles per hour) b. when you run back to the park, your average speed increases by 1 mph. write an expression representing your new speed. c. write an expression for the time t(in hours) it takes to jog 5 miles back to the park. d. use your answers to parts a and c to write an expression that gives the total jogging time t (in hours) as a function of your average speed r (in miles per hour) when you are jogging away from the park. write your answer as a single rational expression. e. find the total jogging time if you jogged away from the park at an average speed (r) of 4 miles per hour. round your answer to the nearest tenth.

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You have jogged 5 miles from the park at a rate of r miles per hour. On your way back to the park your average speed increases by 1 mile per hour.

a.Write an expression for the time t (in hours) it takes to jog 5 miles
from the park as a function of your average speed r (in miles per hour)___________

$t = \dfrac 5 r$

b.When you run back to the park, your average speed increases by 1 mph.
Write an expression representing your new speed. ___________

r + 1

c.Write an expression for the time t(in hours) it takes to jog 5 miles
back to the park.___________

$t =\dfrac 5 {r+1}$

d.Use your answers to parts a and c to write an expression that gives the total jogging time T (in hours) as a function of your average speed r (in miles per hour) when you are jogging away from the park. Write your answer as a single rational expression.
$T =\dfrac 5 {r} +\dfrac 5 {r+1} = \dfrac{(5r+5)+5r}{r(r+1)}=\dfrac{10r+5}{r(r+1)}$

e.Find the total jogging time if you jogged away from the park at an average speed (r) of 4 miles per hour. Round your answer to the nearest tenth.

$T = \dfrac{10r+5}{r(r+1)} = \dfrac{10(4)+5}{4(4+1)}=\dfrac 9 4 = 2.25$ hours or 135 minutes

2.3 hours rounded I suppose.

Answer from: Quest

answer: 414,377,008

step-by-step explanation:

just multiply it

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497