Answer:
Correct answer: y- intercept is 200 for time x = 0 sec
y = 200 · (3/2)ˣ
The population after x = 10 minutes is: y = 11,533
Step-by-step explanation:
We see from the diagram that the initial bacterial count is 200 which is y-intercept
The formula for an exponential function is:
y = 200· aˣ
to find the basis a we read the second point (1, 300)
300 = 200 · a¹ => a = 300/200 = 3/2
the exact formula is
y = 200 · (3/2)ˣ
we verify the accuracy of the formula using the third point (2, 450)
450 = 200 · (3/2)² => 450 = 200 · 9/4 => 450 = 50 · 9 => 450 = 450
The population after x = 10 minutes is:
y = 200 · (3/2)¹⁰ = 200 · 57.665 = 11,533
y = 11,533
God is with you!!!
Answer:
3.915
Step-by-step explanation:
8.7 * 0.45 = 3.915
Answer:
t = 0
Before it starts rushing that's when it will be fastest
Step-by-step explanation:
For the water ib the tank to flow very fast it means that there is a big volume of water present.
And for volume of water to be present that much it means that the water must
have not leaked much or at all.
And for that it signifies large volume of water.
If we do the calculation we'd see that time will be actually equal to zero for the pressure and the volume of the water to be biggest.
V = 4500 (1 − 1 /50 t )^2
V = 4500
4500 = 4500(1- 1/50t)²
1 = 1- 1/50t
0 = -1/50t
t = 0
2 circles and for the part in the middle if you look at it as a net it
will be a rectangle just rolled up. That is called a lateral surface or a
lateral face
Answer:
Given: Gables property Corp is leasing office buildings with an area of 
⇒ Area =
we can write this as:
Area = 
.....[1]
Use the identity formula:
then, by using this formula in [1] we have;
Area = 
or
Area = 
square units
Area of building = 
where l is the length and w is the width respectively;
⇒ 
units
Therefore, the possible length and width of the building is;
l = 7x+5 units
w = 7x+5 units
As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.
Therefore, the possible shape of the building is Square.
