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:
7. Mean = 48
Median = 47.5
Mode = 72
Range = 66
8. Mean= 59.625
Median = 61
Mode = 90
Range = 79
9. Mean = 31.57
Median = 32
Mode = 46
Range = 34
10. Mean = 42.11
Median = 36
Mode = 51
Range = 51
Step-by-step explanation:
Mean is the average. Mode is the number that appears the most. Median is the middle number. Range is the biggest number minus the smallest number.
Hope this helps.
Answer:
0.30 m
Step-by-step explanation:
<u>Explanation</u>:-
Given data is 30 % of m
Algebraic expression:-
The form of the algebraic expression is ax+ by +c
Given data is 30 % of m
here 'of' meaning is multiplied of given term
therefore 
The algebraic expression is 0.30 m
Answer:
the variable is "b"
Step-by-step explanation: