We want to combine b(t) and t(h) to create a function that described the number of bacteria, b, as a function of time, h.
This function can be called b(t(h)), or b(h).
Consider the function b(t), or bacteria as a function of temperature.
b(t) = 20t² - 70t +300
This describes the number of bacteria, given the temperature.
t(h) described the temperature as a function of time, specifically hours after refrigeration:
t(h) = 2h + 3
Since the time h can tell us the temperature t, and the temperature t can tell us the # of bacteria b, we can create a function that tells us the number of bacteria, b, given hours following refrigeration, h.
To do this, we plug t(h) in for every t in the b(t) function:
b(t(h)) = 20 (2h+3)² - 70(2h+3) + 300
We can also call this function b(h), since we now can express b as a function of h.
Simplify the function:
b(h) = 20 (4h²+12h+9)-14h-210+300
b(h) = 80h² +100h +270
The Answer is B
For this case we can model the problem as a cylinder.
The volume of a cylinder is given by:
Where,
Ab: base area
h: cylinder height
Substituting values in the equation we have:
From here, we can clear the area of the base
Answer:
An equation that can be used to find the area of the circular base is:
Answer:
61.84%
Step-by-step explanation:
Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:
1.1x = 0.8(80 - x) + 28
We can simplify and solve:
1.1x = 64 - 0.8x + 28
1.9x = 92
x = 92/1.9
x = 920/19
The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).
The sum of these two can be written as a percent x of 80.
80x = 0.8(80 - 920/19) + 1.1(920/19)
80x = 64 - 0.8(920/19) + 1.1(920/9)
80x = 64 - 0.3(920/19)
80x = 64 - 276/19
80x = 940/19
x = 940/1520
x = 0.6184
This is 61.84%
Answer:
1 simply 1
Step-by-step explanation:
1*1*1=1
Answer:
Commutative Property
Step-by-step explanation:
