MATHEMATICS COLLEGE

30 POINTS FOR JUST ONE QUESTION! :)

Answers

Answer 1

Answer:

Answer:

I believe the third one

Step-by-step explanation:

Thanks.

Related Questions

The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1
A full 1500 liter water tank springs leaks and is losing 2 liters per minutes
What value of y makes the sentence true?y + 3 = 30Type your answer in the box below.Iy =
Is the opposite of an opposite number always going to be positive?
A researcher wishes to estimate, with 90% confidence, the population proportion of likely U.S. voters who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion(a) No preliminary estimate is available. Find the minimum sample size needed.(b) Find the minimum sample size needed, using a prior study that found that 28% of the respondents said they think Congress is doing a good or excellent job.(c) Compare the results from parts (a) and (b).

Solve the algebraic expression n + 8, if n = 15

Answers

you mean evaluate

n+8
if n=15
15+8=
10+5+8=
10+3+2+8=
13+10=
23

plug in 15 so n+8 ...15+8=23

1. What is the width of a piece of paper in meters and millimeters if it is 20 centimeters?2.What is the height of a woman in centimeters and millimeters if it is 1.52 meters?

Answers

Answer:

1. 0.20 m, 200 mm

2. 152 cm, 1520 mm

Step-by-step explanation:

You may be familiar with a place-value chart that names the digits of a number based on their relationship to the decimal point. It might look like ...

(units) . (tenths) (hundredths) (thousandths)

So a number like 0.2 units can be rewritten in terms of hundredths or thousandths like this:

0.200 units = 20.0 hundredths = 200. thousandths

The name that's attached depends on where you put the decimal point.

___

When the units are meters, the corresponding names are ...

(meters) . (decimeters) (centimeters) (millimeters)

1. That is 0.200 meters = 20.0 centimeters = 200. millimeters.

2. 1.520 meters = 152.0 centimeters = 1520. millimeters.

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor. a. Write the differential equation satisfied by y in terms of proportionality k.
b. Find k (in units of day−1, assuming that 10% of the population knows the rumor at time t=0 and 40% knows it at time t=2 days.
c. Using the assumptions in part (b), determine when 75% of the population will know the rumor.
d. Plot the direction field for the differential equation and draw the curve that fits the solution y(0)=0.1 and y(0)=0.5.

Answers

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

$(dy)/(dt)\ \alpha\ y(1-y)$

$(dy)/(dt)=ky(1-y)$

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads

$(dy)/(dt)=ky(1-y)\n(dy)/(y(1-y))=kdt\n\int\limits {(dy)/(y(1-y))} \, =\int\limit {kdt}\n\int\limits {(dy)/(y)} +\int\limits {(dy)/(1-y)} =\int\limit {kdt}\n\nln(y)-ln(1-y)=kt+c\nln((y)/(1-y)) =kt+c\ntaking \ exponential \ of\ both \ sides\n(y)/(1-y) =e^(kt+c)\n(y)/(1-y) =e^(kt)e^c\nlet\ A=e^c\n(y)/(1-y) =Ae^(kt)\ny=(1-y)Ae^(kt)\ny=(Ae^(kt))/(1+Ae^(kt)) \nat \ t=0,y=10\%\n0.1=(Ae^(k*0))/(1+Ae^(k*0)) \n0.1=(A)/(1+A) \nA=(1)/(9) \n$