Answer:
Hence, option: B is correct (11.02 seconds)
Step-by-step explanation:
Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.
Now we are asked:
How long does it take for the ball to reach the ground?
i.e. we have to find the value of t such that height is zero i.e. h(t)=0.
or 
i.e. we need to find the roots of the above quadratic equation.
on solving the equation we get two roots as:
t≈ -3.02377 and t≈11.0238
As time can't be negative; hence we will consider the value of t as t≈11.0238.
Hence it takes 11.02 seconds for the ball to reach the ground.
Hence option B is correct (11.02 seconds).
Answer:
6.
Step-by-step explanation:
The number of ways = 2 languages * 3 implements
= 6
1. This problem lacks given values, where are the
numbers? Just fill-in the numbers I will variables in this case.
Let us say that:
x = number of cups of flour
y = number of cups of white sugar
z = number of cups of brown sugar
(a) Just divide x by 6 to get cups of flour per serving
x / 6
(b) Simply add y and z and divide the sum by 6
(y + z)/6
(c) From (a) we know that there are x / 6 flours per
serving, so simply multiply that by 9 then subtract the original x to know how
much more you need:
[(x / 6) * 9] – x
2.
(a) We know that we deposit $5 per day, so after 5 days
we got:
total deposit = ($5 / day) * 5 days = $25
(b) The total deposit is 25 dollars, so removing $2 a day
we need:
25 / 2 = 12.5 days
3.
(a) d is distance, R is rate, T is time
32.12 = 8.8 T
(b) It is rightful to write distance d as a positive
number since the scuba diver was ascending towards the surface. If this is to
be plotted on a Cartesian plane, we are moving towards the positive y axis
(c) solving for T:
32.12 = 8.8 T
T = 32.12 / 8.8
T = 3.65 minutes
Answer:
33
Step-by-step explanation:
let the shorter piece be x m
then the longer piece is 41-x
"The short piece is 25 meters shorter then the long piece"
or
the difference between the longer and the shorter is 19
--->
(41-x) - x = 25
41-x-x = 25
-2x = 25-41
-2x = -16
divide both sides by -2
x = 8
I defined x to be the short piece ---- 8
I defined 41-x to be the longer --- 41-8 = 33
He walked 3 miles in an hour. He would have to also walk 9 laps in 45 minutes to walk the same amount. Not sure what your question is?
