V = 20.88 km / h ( velocity )
d = 145 km ( distance )
Velocity formula: v = d / t
t = d / v ( time )
t = 145 km : 20.88 km/h
t = 6.94444 h
We have to multiply 0.94444 by 60 minutes.
0.94444 · 60 = 56.67 ≈ 56 minutes 40 seconds
Answer: It would take 6 hours 56 minutes and 40 seconds.
Answer:
The rocket will reach its maximum height after 6.13 seconds
Step-by-step explanation:
To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height
∵ y is the height of the rocket after launch, x seconds
∵ y = -16x² + 196x + 126
- Differentiate y with respect to x
∴ y' = -16(2)x + 196
∴ y' = -32x + 196
- Equate y' by 0
∴ 0 = -32x + 196
- Add 32x to both sides
∴ 32x = 196
- Divide both sides by 32
∴ x = 6.125 seconds
- Round it to the nearest hundredth
∴ x = 6.13 seconds
∴ The rocket will reach its maximum height after 6.13 seconds
There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h =
and k is the value of y at x = h and k is the maximum/minimum value
∵ a = -16 , b = 196
∴ 
∴ h = 6.125
∵ h is the value of x at the maximum height
∴ x = 6.125 seconds
- Round it to the nearest hundredth
∴ x = 6.13 seconds
Answer:
Step-by-step explanation:
P is 5 ticks to the left of 0, so it would be -5/8
Q is 5 ticks to the right of 0, so it would be at 5/8
an absolute value turns a negative number into a positive number
so absolute value of P located at -5/8 = 5/8
this is the location of point Q
Joe said that the absolute values of the numbers represented by the two points are the same.
Answer: b
Step-by-step explanation:
good luck... ur profile pick is hot
Starts off with 67 people.
Pier two: 67 + 36
103 - 23 = 80
Pier three: 80 + 18
98 - 29 = 69
There will be 69 people on the boat heading for Pier four