Answer:
Dude it is 30°C
Step-by-step explanation:
Answer:
a)The linear function for 
is:
b)The exponential function for is:
Step-by-step explanation:
(a) Suppose that P(t) is a linear function. Find a formula for P(t):
can be modeled by a linear function in the following format.
, in which 
is the initial number of bacteria cells in the dish, t is the time and r is the rate that the number decreases.
Since the dish initially contains 2000 bacteria cells, 
We have
An antibiotic is introduced and after 4 hour, there are now 1600 bacteria cells present. So 
. With this information, we can find the value of r.
So, the linear function for is:
b) Suppose that P(t) is an exponential function. Find a formula for P(t)
can also be modeled by an exponential function in the following format:
The values mean the same as in a). We use the fact that to find r.
So, the exponential function for is:
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
1/6 was not eaten
Hope this helps
