sin (x) = -1
arcsin (-1) = x
x = -90
and multiples of 360
x =-90, 270,....
x =-90 + 360n where n is an integer
or in radians
-pi/2 + 2*pi *n where n is an integer
Answer:
The cost is the same after 15 video rentals
Step-by-step explanation:
Let the total cost be y
Let the number of video rentals made be x
Discount card for Big video = $9.99
Discount card for Main Street video = $20.49
Cost of 1 big video rental = $2.49
Cost of 1 Main Street video rental = $1.79
Cost of video rentals with big video:
Y = 9.99 + 2.49x………….(1)
Cost of video rentals with main street video
:
Y = 20.49 +1.79x…………(2)
For the two costs to be equal, the two equations have to be equal to each other
Equating equations (1) and (2)
9.99 + 2.49x = 20.49 +1.79x
0.7x = 10.5
X = 10.5/0.7
X = 15 video rentals
Yes, because each input value corresponds to exactly one output value.Yes, because the outputs increase as the inputs increase.No, because the graph is not continuous.No, because the curve indicates that the rate of change is not constant.
Answer:
dV = - 5.73*10⁹ m³/s
Step-by-step explanation:
Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?
A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.
The volume of a square prism with base a and height h is given by
V = a²h
When the base and height are changing, we have
dV = 2ah(da/dt) + a²(dh/dt)
Given
a = 4 Km
h = 9 Km
da/dt = - 7 Km/min
dh/dt = 10 Km/min
we have
dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)
⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min
⇒ dV = - 5.73*10⁹ m³/s
Answer: m = 0
Step-by-step explanation:
