After 20 minutes Clint is on page = 151
After 45 minutes Clint is on page = 181
Time slot = minutes
Difference in pages in 25 minutes = pages.
Lets suppose Clint is reading each page at same pace.
So , In 25 minutes, he can read = 30 pages
In 1 minute he can read = pages
Initial time is 20 minutes, so he can read the number of pages in 20 minutes =
So, number of pages Clint read prior to study hall were =
pages.
Answer:
- The amount of time greater than 10.2 hours for this year.
- The is 0.01358.
Step-by-step explanation:
Given information:
mean, X = 10.2 hours
sample, n = 15
using t distribution
test statistics = 2.822
= 2 x P(
> test statistics)
= 2 x P( > 2.822)
= 2 x 0.00679
= 0.01358
is less than 0.10 which indicates that the amount of time greater than 10.2 hours for this year.
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
- At 2 hours, the traveler is 725 miles from home.
- At 3 hours, the distance is constant, at 880 miles. --> TRUE.
- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.
Step-by-step explanation:
The function D(t) is defined as follows:
for
for
for
Where
t is the time in hours
D(t) is the distance covered, in miles, after t hours
Now let's analyze the different statements:
- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get
So, the distance at t = 0 is 125 miles.
- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,
- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:
D(t) = 880
So, not 875 miles.
- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is
D(t) = 880
- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,
Learn more about functions:
Learn more about distance:
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