Answer:
7.92 miles (aprox.)
Step-by-step explanation:
1 hour = 60 minutes
19mph = 19miles/hour = 19miles/60 minutes
Proportions:
19 miles ⇔ 60 minutes
W miles ⇔ 25 minutes
W = 19*25/60
W = 7.92 miles (aprox)
Firstly, you change it to miles per second and then to feet
102miles per hour(60×60s)
102 per 120s
Divide
102÷120
=0.85miles per second
Convert to feet
=4488 feet per second
<span>The maxima of a differential equation can be obtained by
getting the 1st derivate dx/dy and equating it to 0.</span>
<span>Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative
result in:</span>
dh = - 4 t dt + 12 dt
<span>dh / dt = 0 = - 4 t + 12 calculating
for t:</span>
t = -12 / - 4
t = 3
s
Therefore the maximum height obtained is calculated by
plugging in the value of t in the given equation.
h = -2 (3)^2 + 12 (3)
h =
18 m
This problem can also be solved graphically by plotting t
(x-axis) against h (y-axis). Then assigning values to t and calculate for h and
plot it in the graph to see the point in which the peak is obtained. Therefore
the answer to this is:
<span>The ball reaches a maximum height of 18
meters. The maximum of h(t) can be found both graphically or algebraically, and
lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball
to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>
Answer:
1 hour
Step-by-step explanation:
Hello, let's say that her departure trip takes t in minutes, as her return speed is 3 times her departure speed, she took t/3 for the return and we know that this 40 minutes less, so we can write.
t/3=t-40
We can multiply by 3
t = 3t -40*3 = 3t - 120
This is equivalent to
3t -120 = t
We subtract t
2t-120 = 0
2t = 120
We divide by 2
t = 120/2 = 60
So this is 60 minutes = 1 hour.
Thank you.
Answer:
Option C g(x) = -4
Step-by-step explanation:
In the question a function f(x) =4 is given and we are required to tell the reflection g(x) of the given function.
The rule of reflection for a function says that:
f(x) -> - f(x)
So, in our case the value of function is f(x) = 4, after reflection the value across the x-axis the value will become negative i.e -4,
so the required function g(x) = - 4
Hence Option C g(x) = -4 is correct option.
