Answer:
<em>The SUV is running at 70 km/h</em>
Step-by-step explanation:
<u>Speed As Rate Of Change
</u>
The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.
This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:
To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:
Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)
We'll compute :
We know d'=20 km/h, so we can solve for x' and find the speed of the SUV
Thus we have
Solving for x'
Since y'=-60
The SUV is running at 70 km/h
It’s not my answer but I think it’s correct!
Hey there!
For Part A, because the amount earned on Sunday isn't specified, we can call this additional income x. Because we're writing an expression, we don't need an equal sign. The expression will be (x + 14).
For Part B, "2 less than" will mean "– 2" and "twice than" will mean the amount of dogs that Alicia walked times 2. We can call the amount that Alicia walked y to avoid confusion with the last expression (though you could use whatever variable here) and your expression will be (2y – 2).
Hope this helped you out! :-)
Answer:
Infinite solutions
Step-by-step explanation:
So if simplified it would be
-3x+15=15-3x
Which is basically the same thing if arranged
15-3x=15-3x
-3x+15 can also be 15-3x still the same thing as adding 15 to -3x
So since these are equal anything could be used
like try 0
Both get 15
Try 1
Both get 12
Try legit any number
youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)
Answer:
Volume of cylindrical tank is 2122.64 cubed feet.
Step-by-step explanation:
It is given that:
Radius of cylindrical tank = 6.5 feet
Height of tank = 16 feet
Volume of tank = πr²h
Putting the values in the formula
Volume = 3.24 * (6.5)² * 16
Volume = 3.14 * 42.45 * 16
Volume = 2122.64 cubed feet.
Therefore,
Volume of cylindrical tank is 2122.64 cubed feet.
