MATHEMATICS COLLEGE

Please help me thank you so much. Just not sure of my answers

Answers

Answer 1

Answer:

Answer:

An interesting experiment is given. We need to address various questions based on our knowledge of calculus.

Step 2

Part (a)

Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours

Time taken for the radius to become 0 = t2 and the same can be obtained by solving:

r = 2 - √t2 = 0

Hence, t2 = 22 = 4 hours

Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours

Step 3

Part (b)

r(t) = 0.5t for 0 ≤ t ≤ 4

and

r(t) = 2 - √(t - 4) for t > 2

Step-by-step explanation:

Related Questions

The U.S. Department of Agriculture guarantees dairy producers that they will receive at least $1.00 per pound of butter they supply to the market. Below is the current monthly demand and supply schedule for wholesale butter (in millions of pounds per month). Wholesale Butter Market Price (dollars per pound) Quantity of Butter Demanded Quantity of Butter Supplied (millions of pounds) (millions of pounds) $0.80 107 63 0.90 104 71 1.00 101 79 1.10 98 87 1.20 95 95 1.30 92 103 1.40 89 111 1.50 86 119 1.60 83 127 1.70 80 135 1.80 77 143 a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound. b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program? 22 million pounds 79 million pounds Zero 11 million pounds Suppose that a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price.
49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why?A) Convenience B) Cluster C) Random D) Systematic E) Stratified
Use the table to find the ratio. Enter the ratio as a fraction in simplest form. 9 white socks. 6 black socks. 7 blue socks. 2 brown socks. What is the ratio of white socks to brown socks?
Peggy is p years old maggie is 1 year less than 1/4 of peggys age what is maggies age in terms of p
Is a quadrilateral in which each side is parallel to the side oppositeA RhomboB. RectangleC. TrapeziumD. Parallelogram

fter production, a computer component is given a quality score of A, B, and C. On the average U of the components were given a quality score A, ( of the components were given a quality score B, and of the components were given a quality score C. Furthermore, it was found that actually of the components given a quality score A failed, of the components given a quality score B failed, and of the components given a quality score C failed. 11-A. What is the probability that a randomly selected component is NOT failed and received a quality score B

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In the given question some of the data is missing so, its correct question is defined in the attached file please find it.

Let

A is quality score of A

B is quality score of B

C is quality score of C

$\to P[A] =0.55\n\n\to P[B] =0.28\n\n\to P[C] =0.17\n$

Let F is a value of the content so, the value is:

$\to P[(F)/(A)] =0.15\n\n\to P[(F)/(B)] =0.12\n\n\to P[(F)/(C)] =0.14\n$

Now, we calculate the tooling value:

$\to p[(C)/(F)]$

using the baues therom:

$\to p[(C)/(F)] = (p[C] * p[(F)/(C) ])/(p[A] * p[(F)/(A)] + p[B] * p[(F)/(B)]+p[C] * p[(F)/(C)] )$

$= ( 0.17 * 0.14 )/(0.55 * 0.15 + 0.28 * 0.12 + 0.17 * 0.14 ) \n\n= (0.0238)/(0.0825 + 0.0336 + 0.0238) \n\n= (0.0238)/(0.1399) \n\n=0.1701$

15 1/2 as an integer

Answers

2 good luck on ur work :)

Christine is fertilizing her garden. the garden is in the shape of a rectangle. its length is 12 ft and it's width is 10 feet. suppose each bag of fertilizer covers 30 square feet. how many bags will she need to cover the garden?

Answers

Answer:

Step-by-step explanation:

First we need to find the total area of the garden so we can see how many bags she will need. The area of a rectangle is its length multiplied by its width, so the area of her garden is 12 (the length) x 10 (the width). 12 x 10 = 120 square feet. If each bag covers 30 square feet, then she will need 120/30 = 4.

4 bags of fertilizer to cover the 120 square feet of the garden area.

Hope this helped!

suppose that you made four measurement of a speed of a rocket: 12.7 km/s, 13.4 km/s, 12.6 km, and 13.3 km/s. compute: the mean, the standard deviations, and the standard deviation of the mean

Answers

Answer:

Mean = 13 kilometer per second

Standard Deviation = 0.4082 kilometer per second

Step-by-step explanation:

We are given the following data set of rocket speed in kilometer per second in the question:

12.7, 13.4, 12.6, 13.3

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle(52)/(4) = 13$

Deviations from mean = -0.3, 0.4, -0.4, 0.3

Sum of squares of differences =

0.09 + 0.16 + 0.16 + 0.09 = 0.5

$S.D = \sqrt{(0.5)/(3)} = 0.4082$

Mean = 13 kilometer per second

Standard Deviation = 0.4082 kilometer per second

the perimeter of a triangle is 47.678cm two of the sides have lengths of 15.463cm and 11.34cm what is the length of the other side?

Answers

Answer:

20.875

Step-by-step explanation:

47.678-(15.463+11.34) =20.875

20.875 is the answer

Elizabeth gave 13% of the cost as a tip to the delivery person who delivered her car after service at a cost of $294. What will be the total cost with tip to the nearest cent?

Answers

Answer:

If an amount is included as a "Gratuity" or "Service Charge," tipping is not required. ... If the tip is included, the breakdown of the bill will read "gratuity" or "service charge," which means that a tip is already included.

Step-by-step explanation:

hope this helps!

Other Questions

Which expression shows the prime factorization of 40? 2 × 2 × 5 2 × 2 × 2 × 5 2 × 5 × 5 2 × 5 × 5 × 5

What is the length of material in yards delivered by a roll with a speed of 290 rpm and a diameter of 46 mm? (Note: assume the roll turns for 90 seconds.)

-5 1/2 + 6 3/4 + (-4 1/4)

I need help pls asap