Answer:
s = 0.3m
Step-by-step explanation:
Given that s varies directly with m then the equation relating them is
s = km ← k is the constant of variation
To find k use the condition
s = 9 when m = 30
9 = 30k ( divide both sides by 30 )
= k
s = m or
s = 0.3m ← equation of variation
16x²=(4x)², 9=3², 24x=2*4x*3
so this is a perfect square: (4x+3)²
<span>23.24 seconds.
The travel time from the start of the trip to the end will have three phases. Initial acceleration, cruising, and deceleration. So, let's see how long each phase takes. For the initial acceleration phase, assume it accelerates at 4.50m/s2 until it reaches 19.8 m/s. So calculate t.
t = 19.8 m/s / 4.5 m/s2 = 19.8/4.5 s = 4.4 s
The distance traveled during the acceleration phase will be 1/2AT^2. So
d = 0.5 * 4.5 * t^2 = 2.25 * 4.4^2 = 2.25 * 19.36 = 43.56 m
The deceleration phase will also take 4.4 seconds and occur over a distance of 43.56 m. So the combined distance for acceleration and deceleration is 43.56 * 2 = 87.12 meters.
Now the total distance that we want to travel is 373 m. So you can determine the distance for the cruising phase by subtracting the combined distances for acceleration and deceleration. Giving
cruise = 373 - 87.12 = 285.88 m
The time the cruising phase takes is the distance divided by the speed, so we get
t = 285.88 m / 19.8 m/s = 14.44 seconds.
Finally, the total travel time is the time for acceleration plus time for cruising plus time for deceleration, giving
4.4 s + 14.44 s + 4.4 s = 23.24 seconds.</span>
I think the answers are:
The ordered pair (−4, 0) is a solution to the first equation because it makes the first equation true.
The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true.
The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.
Hope this helps, have a good day. c;
Answer:
50 divided by 3/4 =
Step-by-step explanation:
he spent 37 dollars and 5 cents
