Determine the equation of the circle graphed below.

Correct question is;

A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter enters a tank at the rate 9 L/min. The solution is mixed and drains from the tank at the same rate.

Required:

a. Find the amount of salt in the tank after 3.5 hours.

b. Find the concentration of salt in the solution in the tank as time approaches infinity.

Answer:

A) y(3.5) = 40.11 kg of salt

B) Concentration as time approaches infinity = 0.05 kg/l

Step-by-step explanation:

We are given;

Mass of salt; m_s = 50 kg

Volume of water; v_w = 1000 L

Rate at which salt enters = 0.05 kg/L × 9 L/min. = 0.45 kg/min

Since the solution drains at same rate as it enters, then;

Rate at which salt goes out = 9y/1000

Where y is the concentration in the tank.

Thus, the differential equation of the amount of water in the tank will be;

dy/dt = Rate at which salt enters - Rate at which salt goes out

dy/dt = 0.45 - (9y/1000)

Simplifying this gives;

dy/dt = (9/1000)(50 - y)

Rearranging, we have;

dy/(50 - y) = dt(9/1000)

Integrating both sides gives;

In(50 - y) = 9t/1000 + A

If we do exponents of both sides, we will get;

50 - y = Ae^(-9t/1000)

At initial conditions, y = 0 and t = 0.

Thus;

A = 50

Thus, quantity of salt in tank will be written as;

50 - y = 50e^(-9t/1000)

Making y the subject gives;

y = 50 - 50e^(-9t/1000)

At t = 3.5 hours = 210 minutes

y = 50 - 50e^(-9 × 180/1000)

y(3.5) = 40.11 kg of salt

As t approaches infinity, it means t will be zero. Thus;

y = 50 - 50e^(-9 × 0/1000)

y = 50 kg

Concentration = 50/1000 = 0.05 kg/l

Answer:

This means that the domain of this situation is [tex]m \in [0,200][/tex], that is, you can talk between 0 and 200 minutes in the month.

Step-by-step explanation:

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for the phone service.

This means that the cost of speaking for m minutes is given by:

[tex]C(m) = 8 + 0.12m[/tex]

You can talk for no more than 200 minutes in a month.

This means that:

[tex]m \leq 200[/tex]

What is the domain of this situation?

The domain of a function is the input variable.

In function C(m), m is the input variable, and since you can talk for no more than 200 minutes in a month, the restriction for the input is [tex]m \leq 200[/tex].

This means that the domain of this situation is [tex]m \in [0,200][/tex], that is, you can talk between 0 and 200 minutes in the month.

Answer:

both of them

Step-by-step explanation:

With the pets its all different

with checker board you can count em all together or count the black and red seperate

Answer:

0.2

Step-by-step explanation:

A probability is always out of 100% (which also means out of 1)

So the probability that the dice rolls a 1 is 0.15/1, the probability it rolls a 3 is 0.3/1 and the probability it rolls a 4 is 0.35/1. The probability it rolls a 2 is x/1 where x is what we're looking for. If you add all the probabilities up you should have 1 in total. So 0.15 + x + 0.3 + 0.35 = 1

So to find the missing one you need to subtract all the probabilities you know from 1:

1 - 0.15 - 0.3 - 0.35 = 0.2

The probability of the die rolling 2 is 0.2

Probability is a measure of the likelihood of an event occurring. The probability of all the events in a sample space adds up to 1.

Given here the probabilities are 0.15,0.3, 0.35

since the probabilities, all add upto 1

therefore P(2) = 1-(0.15+0.3+0.35)

                       = 0.2

Hence the probability that the die will roll 2 is 0.2

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Answer:

55.5

Step-by-step explanation:

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

In this case 54 and 57.

54+57=111

111 divided by 2

You get

55.5 as your median

Answer:

Hello There!!

Step-by-step explanation:

Ordered list of numbers: 5,10,13 ,51,52,54,57,

59,65,71 and71. The middle value is 52 and 54 so you add them which equals 106 then Therefore,54 is the answer.

hope this helps,have a great day!!

~Pinky~

Answer:

4 sqaure root 24x^3/ 2x

Step-by-step explanation:

See steps below:)

Answer: A im pretty sure

Answer:

c

you can do this brooo(θ‿θ)(θ‿θ)(θ‿θ)

Answer:

Step-by-step explanation:

Flew hw hw

Answer:

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent

Answer:

y = -2

Step-by-step explanation:

Plug in x = -1

y = 3(-1) + 1

y = -3 + 1

y = -2

Answer:

A is correct

Step-by-step explanation:

17*180=3060

3060/4= 765

765-360=405-360=45

Answer:

Circle

Step-by-step explanation:

Answer:

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.

This means that [tex]p = 0.8[/tex]

Three children:

This means that [tex]n = 3[/tex]

What is the probability that exactly two of their three children will have that trait?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Answer:

Measure of angle A is 65 degrees and measure of angle B is 37 degrees.

Step-by-step explanation: First add all of the degrees of excluding x (4+(-9)) which is -5. Then subtract that from 180 since that is the sum of all the angles in a triangle which gives you 185. Then divide it by the number of "x's" that there are which is 5 which gives you 37. So angle B is x which is 37 degrees and angle a is 2(37)-9 which is 65 degrees. Hope this helps.

______________________________________

The answer is 1/15.

______________________________________

Answer: 0.4 : 6 = 1 : 15

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

0.4 : 6 = 4 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 4 and 60 is 4

Divide both terms by the GCF, 4:

4 ÷ 4 = 1

60 ÷ 4 = 15

The ratio 4 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 4 :

4 : 60 = 1 : 15

Therefore:

0.4 : 6 = 1 : 15

Answer:

191.67 feets

Step-by-step explanation:

From. The attached picture :

Height x can be obtained using trigonometry :

Tan 22 = x / 200

0.4040262 = x / 200

x = 0.4040262 * 200

x = 80.805245 feets

For height, y :

Tan 29 = x / 200

0.5543090 = x / 200

y = 0.5543090 * 200

y = 110.86181 feets

Building height = x + y

Building height = 80.805245 + 110.86181 = 191.67 feets

Answer:

Angle x would be equal to the sum of its two opposite angle

x= 47 + 110

x= 157°

Answer:

c = 8.9 or 4√5

Step-by-step explanation:

Answer:

8.9

Step-by-step explanation:

Answer:

B) 82 degrees

Step-by-step explanation:

360-108-92-78=82

Answer:

219

Step-by-step explanation:

Answer:

4m

Step-by-step explanation:

7x4=28

meters=[tex]m^{2}[/tex]

9514 1404 393

Answer:

  $1,010

Step-by-step explanation:

We can write the exponential decay function in the form ...

  y = a(b^(t/T))

where 'a' is the initial value, and 'b' is the "growth" factor in time period T.

Here, the initial value is 16200, for t=0 corresponding to the year 2010.

The "growth" in value is by the factor 9300/16200 in the 2-year period between 2010 and 2012. This means we can write the exponential function as ...

  y = 16200((93/162)^(t/2))

In the year 2020, the value of t is 2020 -2010 = 10, so the car value will be ...

  y = 16200(93/162)^(10/2) = 16200(93/162)^5 ≈ 1010

The predicted value in 2020 is $1,010.

_____

If you like, you can "simplify" the base of the exponential factor to ...

  (93/162)^(1/2) ≈ 0.75768

Then the value function becomes ...

  y = 16,200(0.75768^t)

Answer:

1 up 2 right or y+1 and x+2

Step-by-step explanation:

Answer:

306 calories

Step-by-step explanation:

By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:

6 / 204 = 9 / x

Where x is the amount of calories in 9 chicken nuggets.

Now, we can simplify by cross multiplying:

6x = 1836

x = 306 calories

Answer:

306 calories

Step-by-step explanation:

Answer:x=19/2

Step-by-step explanation:

4(x+2.5)=48

Step 1: Simplify both sides of the equation.

4(x+2.5)=48

(4)(x)+(4)(2.5)=48(Distribute)

4x+10=48

Step 2: Subtract 10 from both sides.

4x+10−10=48−10

4x=38

Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2

Answer:

4(x + 2.5) = 48.

4x + 4 x 2.5 = 48.

4x + 10 = 48.

4x + 10 -10 = 48 -10

4x = 38

Divide both sides by 4.

X = 9.5.

X = 10 if approximated.

Answer:

Number of cheesecakes local bakery expects to sell in a day = 14 (Approx.)

Step-by-step explanation:

Given:

Number sold  Probability   xP(x)

0                          0.1             0

5                          0.19          0.95

10                         0.05          0.5

15                         0.14           2.1

20                        0.52          10.4

Find:

Number of cheesecakes local bakery expects to sell in a day

Computation:

Number of cheesecakes local bakery expects to sell in a day = Sum of xP(x)

Number of cheesecakes local bakery expects to sell in a day = 0 + 0.95 + 0.5 + 2.1 + 10.4

Number of cheesecakes local bakery expects to sell in a day = 13.95

Number of cheesecakes local bakery expects to sell in a day = 14 (Approx.)

Answer:

Yes it is talking about more than one person

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!