Answer:

And that represent the instantaneous velocity at a given time t.
And then we just need to replace t =2 in order to find the instantaneous velocity and we got:

Step-by-step explanation:
For this case we have the position function s(t) given by:

And we can calculate the instanteneous velocity with the first derivate respect to the time, like this:

And if we take the derivate we got:

And that represent the instantaneous velocity at a given time t.
And then we just need to replace t =2 in order to find the instantaneous velocity and we got:

1) y-4 = -8(x-1)
y-4 = -8x+8
y = 12-8x
It's Linear
2) y= x⁴
It's non-linear
3)y-x² = 4.5
y = 4.5+x²
It's non-linear
4)3x+5y=15
3x=15-5y
It's Linear.
So, Among your all parts of the question,
Linear equations are: 1st & 4th
Non-Linear equations are: 2nd & 3rd
Hope this helps!
Answer:
Step-by-step explanation:
Mean = (87 + 105 + 130 + 160 + 180 + 195 + 135 + 145 + 213 + 105 + 145 + 151 152 + 136 + 87 + 99 + 92 + 119 + 129)/19 = 129
Variance = (summation(x - mean)²/n
Standard deviation = √(summation(x - mean)²/n
n = 19
Variance = [(87 - 129)^2 + (105 - 129)^2 + (130 - 129)^2+ (160 - 129)^2 + (180 - 129)^2 + (195 - 129)^2 + (135 - 129)^2 + (145 - 129)^2 + (213 - 129)^2 + (105 - 129)^2 + (145 - 129)^2 + (151 - 129)^2 + (152 - 129)^2 + (136 - 129)^2 + (87 - 129)^2 + (99 - 129)^2 + (92 - 129)^2 + (119 - 129)^2 + (129 - 129)^2]/19 = 23634/19 1243.895 min
Standard deviation = √1243.895 = 35.269 min
60 minutes = 1 hour
Converting the variance to hours,
Each division would have been divided by 60². 60² can be factorized out
Variance = 23634/60² = 6.565 hours
Converting the standard deviation to hours, it becomes
√6.565 = 2.562 hours
W/4 divide the two to find the quotient
Answer:
the answer is D on edge
Step-by-step explanation: