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
Answer:
75 dollars
Step-by-step explanation:
If an item is 50 and you want to markup 50%, you must find 50% of 50 to find how much the item will go up by from 50.
So 50% of 50 means 50% times 50.
50%=.5 or 1/2
So .5(50)=25.
The item is going up by 25 dollars.
So we started at 50 dollars.
So 50+25 is going to be the new amount.
50+25=75 is the new amount.
Answer:
z=24 y=5 x=12
Step-by-step explanation:
x+8=20 x=20-8 x=12
z+1=25 z=25-1 z=24
y+10=15 y=15-10 y=5
By analyzing the piecewise function, we conclude that the first graph is the correct one,
<h3>
Which of the following is the graph of the piecewise function?</h3>
The first part of the piecewise function is:
f(x) = √(-x - 2) for x ≤ -2
This parts ends at:
f(-2) = 0
With that, we can discard the last two graphs.
Now, the second part is a rational function with a negative coefficient.
Because of that sign, when x is positive, the function tends to negative infinite near in the asymptote, while when x is negative, the function tends to positive infinite in the asymptote.
Because of that, we conclude that the correct option is the first graph.
If you want to learn more about piecewise functions:
brainly.com/question/3628123
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Answer:
Step-by-step explanation:
The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.
Surface area of the square pyramid is given as: 
Where,
B.A = Base Area of the pyramid = 9*9 = 81 in²
P = perimeter of the base = 4(9) = 36 in
L = slant height of pyramid = 9.2 in
Plug in the values into the given formula to find the surface area
