What is the equation of a line parallel to y=4/5x+2 that passes through 1,2
1 answer:
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Answer:
Step-by-step explanation:
Let t represents the time in hours,
We know that,
Since, the speed of truck = 30 miles per hour,
So, the distance covered by the truck in t hours = 30t miles,
Similarly,
Speed of car = 60 miles per hour,
So, the distance covered by car in t hours = 60t miles,
∵ Truck is 300 miles east of the car initially,
Thus, the distance of the truck from the starting point = 30t + 300,
While the distance of the car from the starting point = 60 t,
Now, these two vehicles are going in the directions which are at right angled ( car is going north and truck is going west )
Using the Pythagoras theorem,
Distance between them after t hours,
Which is the required function.
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
b. After 8 bounces we can apply the previous formula with n = 8 to get
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.