Answer:
Step-by-step explanation:
We can solve this in either of two approaches: Mathematically or Graphically.
<u>Mathematically</u>
y=-(3/4)(x-4)^2+12 where y is the height of the ball, and x is the time, in seconds.
We want to know how many seconds for the height to be 0, so y=0.
0 = -(3/4)(x-4)^2+12
-12 = -(3/4)(x-4)^2
12*(4/3) = (x-4)^2
16 = (x-4)^2
x = 8 and 0 (the initial point).]
It will reach the ground in 8 seconds
<u>Graphically</u>
Plot the function and find the time, x, when the graph passes through the x axis (after t = 0). Attached.
Answer:
Area of the given fan is 763.4 cm²
Step-by-step explanation:
Area of a sector in a circle =
Here, angle θ = Central angle subtended by the arc
r = Radius of the circle
Since, fan is in the form of a sector of a circle with radius = 27 cm
Measure of the central angle subtended by the arc FN = ∠FAN = 120°
Area of the fan =
=
= 243π
= 763.407
≈ 763.4 cm²
Therefore, area of the given fan is 763.4 cm²
Answer:
The required expression is
Step-by-step explanation:
Consider the provided information.
National Textile installed a new textile machine in one of its factories at a cost of $250,000.
That means for 0 year the cost of the machine is $250,000.
This can be written as: (0, 250,000)
Over 10 years with a scrap value of $10,000
That means for 10 year the cost of the machine is $10,000.
This can be written as: (10, 10,000)
Now first find the rate of change:
Rate of change=m=
Rate of change=m=
Rate of change=m=
Now use the point-slope form of an equation of a line with the point (0, 250,000), we can find the required expression.
Hence, the required expression is