Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:
Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
Best Answer:<span> </span><span>So first we need both areas, then we can relate them, and then divide the circle by the square:
A(circle) = πr^2
A(square) = L*W or (2r)*(2r) which is (2r)^2
For the square, we know this is true because because the radius is half the diameter, so if we multiply the radius by 2, we get the length of one side of the square. We also know that the lengths of both sides of the square are the same by definition of a square.
Ratio: (πr^2)/(4r^2) = π/4</span>
V=hpir^2
SA=2pir^2+2hpir
a.
SA=2pi9^2+2*36pi9
SA=2pi81+72pi9
SA=162pi+648pi
SA=810pi in^2
b.
aprox pi=3.14
810*3.14=2542.4cm^2
c.
V=36pi9^2
V=36pi81
V=2916pi in^3
d. 3.14=pi
2916*3.14=9156.24 in^3
Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
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It is already in radical form......... but, if you want us to make it into exponential form, it is 8x^(2/3)
