Given
d(t)=-16t^2-4t+382
1. times at which rock is 310 from ground
solve d(t)=310=-16t^2-4t+382
=>
16t^2+4t-72=0
t=(-4+/-sqrt(4^2+4*16*72)/(2*16)
=> t=-9/4 or t=2
Reject negative root from context, so
time=2 seconds.
2.
maximum is when d'(t)=0, or
-32t-4=0 => t=-1/8
Therefore rock was descending since t=0 (can also see from -4t, i.e. initial velocity is -4 ft/s)
Rock reaches ground when d(t)=0, i.e.
-16t^2-4t+382=0
t=-5.01 or t=4.763 seconds. reject negative root.
Therefore, domain, t=0 to 4.763 seconds
range = 0 to 382 ft
Answer:
![2010\leq{x}\leq{2019}](https://tex.z-dn.net/?f=2010%5Cleq%7Bx%7D%5Cleq%7B2019%7D)
Step-by-step explanation:
- The function f(x) shows the number of cell tower users after "x" years from the year 2010.
- Then, the dependent varible of the function f(x) are the number of cell tower users after x years from 2010, and the independent variable of this function, "x", are the years that have passed since 2010, included 2010.
- This means that the independent variable should take the values of the years from 2010, which represent the domain (values that x variable can take), that are all the years between 2010 and 2019 (which is the present year).
Answer:
3.5
Step-by-step explanation:
5(6-x)=12.5
(5*6)-(5*x)=12.5
30-5x=12.5
subtract 30 from each side:
-5x=-17.5
divide -5 from each side:
x=3.5
Lne equals 1 because they cancel each other out. e is the base of ln.
For example: log has a base of 10, log10 = 1
Answer:
Last week, Chen bought 812 gallons of gas at $2.30 per gallon. This week, he bought 4310 gallons of gas at $2.70 per gallon.
What was his total cost?
Enter your answer in the box.
Step-by-step explanation: