All categories

2 years ago

Which function can be used to find the number of cells of bacteria in the population at time t

Mathematics

1 answer:

Nonamiya [84]2 years ago

6 0

Answer:

db / dt = kb

this becomes b(t) = Ce^(kt)

C = 100, the initial population

P(1) = 420 = 100 e^(1k)

4.2 = e^k

ln 4.2 = k

a) thus, b(t) = 100 e^(t ln 4.2)

b) b(3) = 100 e^(3 ln 4.2)

c) growth constant will still be ln 4.2 (constant percentage of populatioin)

d) 10000 = 100 e^(t ln 4.2)

100 = e^(t ln 4.2)

ln 100 = t ln 4.2

t = ln 100 / ln 4.2

Step-by-step explanation:

You might be interested in

At the rate 36 bottle caps in 10 seconds how many bottle caps can be made in 5min

Misha Larkins [42]

1,080 bottle caps. There's 60 seconds per minute so 36*6, Then that times 5 for the 5 minutes.

6 0

3 years ago

Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circl

statuscvo [17]

Answer:

C. The area of the blue circle is equal to the sum of areas of green square and black circle.

Step-by-step explanation:

The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.

6 0

2 years ago

Maya invested $5,000 in an account paying an interest rate of 3.9% compounded continuously. Assuming no deposits or withdrawals

ElenaW [278]

Answer: 8.2

Step-by-step explanation:

Delta Math Solution

5 0

3 years ago

If two lines are parallel which statement must be true? A.Their slopes are zero. B.Their slopes are negative reciprocals. C. The

stepan [7]

Answer:

Step-by-step explanation:

Parallel lines have the same gradient.

A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.

If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.

AB= -1

$A = - \frac{ 1}{B}$

$B = - \frac{1}{A}$

Thus, option B is incorrect too.

Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.

4 0

2 years ago

Read 2 more answers

Select all of the statements that are valid based on the survey results.

Anika [276]

Answer:

all except the last one

Step-by-step explanation:

4 0

2 years ago