Answer:
exact form: 13 over 6
decimal form: 2.16
mixed number form: 2/ 1 over 6
D(t)=-16t²+32t+88
a] Maximum height
At maximum height d'(t)=0
from d(t);
d'(t)=-32t+32=0
thus
t=1
hence the maximum height will be:
d(t)=-16t²+32t+88
d(1)=-16(1)^2+32(1)+88
d(1)=104 ft
2] <span> how many seconds does it take to reach the ground after first being thrown upward?
Here we solve for t intercept
</span>when d(t)=0
<span>thus</span>
0=-16t²+32t+88
<span>solving for t, we get:
t=1-</span>√13/2
or
<span>t=1+</span>√13/2
<span>
t=-1.55 or t=3.55 sec
Thus the answer is t=3.55 sec
</span>
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Create a linear equation
Let
t ----> the time in minutes
y ---> the temperature in °F
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
The slope m is equal to
The y-intercept is
substitute
Part b) How many minutes until the water boils at 212° F?
For y=212° F
substitute in the linear equation and solve for t
The break ended at 4pm when he was at 15 km.
The ride ended at 6pm when he was at 45 km.
From 4 to 6pm he rode 45 - 15 = 30 km.
Answer:
None of these
Step-by-step explanation:
