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.
R=5
B=4+G
Y=G-3
R+B+Y+G=24
(5)+(4+G)+(G-3)+G=24
5+4+G+G-3+G=24
3G+6=24
3G=18
G=6
B=4+(6)
B=10
Y=(6)-3
y=3
answer
R+B+Y+G=24
5+10+3+6=24
Answer:
When 
and 
:
Step-by-step explanation:
-8ab can be seen as -8×a×b. Insert the given values:
Simplify multiplication from left to right:
Insert and solve:
:Done
Answer:
3. x = y - 3
Step-by-step explanation:
You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.
x + 3 = y
x = y - 3
The binomial cumulative probability with p=0.5 for 3+ successes is as follows:
for p=0.5 (50% success rate) it becomes:
the probability is 0.65625, or about 66%
