Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e. 
.
i.e. 
.
i.e. .
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.
Answer:
D.
Step-by-step explanation:
<FIL and <AIN are Vertical angles.
Vertical angles are always congruent.
Congruent means the same or equal.
Answer:
1. M > -7
2. y < -1
3. m < -12
4. k > -2
5. c > -9
Please let me know if you need me to explain these answers! :)
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)
<u>Part a)</u> Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime
Let
E-------> the amount of money earned
x------> number of hours worked
we know that
For 
therefore
<u>the answer part a) is</u>
<u>Part b) </u>Create an equation that shows the amount of wages earned, T, for working y hours of overtime
Let
T-------> the amount of money earned
y------> number of hours of overtime
we know that
therefore
<u>the answer part b) is</u>
<u>Part c)</u> Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?
we know that
Divide 
by 
----> to obtain the hours of overtime
So
Allison works
therefore
<u>the answer part c) is</u>
