A cyclist accelerates from rest at a rate of 7.0 m/s2. How long will it take the cyclist to reach a speed of 18 m/s? (Its really a subject for science, but I didn't want to put the wrong thing)

9514 1404 393

  2 4/7 seconds

Step-by-step explanation:

Velocity and (constant) acceleration are related by ...

  v = at

Filling in the numbers, we can solve for t:

  18 m/s = (7 m/s²)·t

  t = (18 m/s)/(7 m/s²) = (18/7) s = 2 4/7 s

It takes the cyclist 2 4/7 seconds (about 2.57 seconds) to reach 18 m/s.

Comment on the subject

Problems involving position and its derivatives can reasonably be posted in the Math section. When energy or mass get involved, the Physics section is a better place. The relevant formulas for those are not always covered in algebra classes.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560