Room's volume is 600 m^3. There is 800 ppm (parts per million) of CO2 in the room.
Fresh air, with the CO2 concentration of 400 ppm starts flowing into the room at the rate of 40 m^3/min. The pressure in the room is constant, so an equal amount of stale air flows out as fresh air flows in, and the CO2 is evenly distributed.
a) Form the differential equation for the amount of CO2 in the room.
b) Solve this differential equation
c) What is the CO2 concentration of the room after fresh air has been flowing in for 30 minutes?

Answer:

C- 4/5 cups

Step-by-step explanation:

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

Answer:

[tex] 76 \: {in}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Are of square with side 8 in + 2 times the area of one triangle with base (8 - 5 = 3) 3 in and height 4 in

[tex] = {(8)}^{2} + 2 \times \frac{1}{2} \times 3 \times 4 \\ \\ = 64 + 12 \\ \\ = 76 \: {in}^{2} [/tex]

Answer:

B. (9x - 5y)(9x + 5y)

Step-by-step explanation:

when you are factoring these, when you have a negative and a positive, there is a number that will cancel. in this case, when distributing the factors, the number 45xy and -45xy come up. those cancel.

Answer:

No

Step-by-step explanation:

To form a proporion, both would need to be a multiple of the same thing, whcih they aren't

Answer:

x>5/2

Step-by-step explanation:

-4x+5>-5

-4x>-10

4x>10

x>10/4

x>5/2

b maybe

Step-by-step explanation:

I think it may be being mentally stronger trying to help you

Answer:

223.50

Step-by-step explanation:

1490x .15 = 223.50

Answer:

d. Aaron could have chosen any company because the premiums are all the same.

Step-by-step explanation:

Going by the age of Aaron and the percentages charged by the various company due to smoking, it is safe to conclude that, the premiums are all the same. This could be seen in the table of column and rows which shows the annual insurance premiums (per 1,000 dollars of face value) over a 10 years term. The variation helps to show that, when the premium is evaluated, the are all the same.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

the radius is half the diameter:

7/2 : 2 = 7/2 x 1/2 = 7/4 cm

the circumference is:

diameter x π = 7/2π cm

the approximate circumference is

7/2 x 3,14 = 10,99 cm

Answer:

C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed.

Step-by-step explanation:

In Statistics, classification problems are differentiated from estimation problems because classification problems typically requires that the output attribute be categorical while estimation problems require that the output attribute is numerical. In an estimation problem, the output variable has a continuous or real value, such as predicting the size, area, weight, age or even the cost of an item.

A Classification problem work with the concept of creating a succinct model such as decision trees, Naive Bayes, random forest, logistic regression, etc, which is capable of predicting from the attribute (observed) variables given; values of the dependent attribute, which is always categorical.

In order to predict a dichotomous variable from a given data set comprising of continuous or dichotomous variables, a logistic regression can be used.

Mathematically, it is given by the expression;

Logistic regression [tex] y [/tex] with [tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex]

Where;

y represents the dichotomous dependent variable.

[tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex] represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.

Hence, a regression would be appropriate for predicting someone's blood alcohol level from the number of whiskey drinks they consumed.

Answer:

millimeters....

Answer

C

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

I hope this was helpful

Answer: top right graph

Step-by-step explanation: Put in calculator and you will find the answer

Answer:

What the other person said

Step-by-step explanation:

Answer:Hi i think its 50 x 16= ur answer think about that hopes this helpp!!! :D

Step-by-step explanation:

Answer:

the answer is h=7

Step-by-step explanation:

Answer: b

f(x)=5x^2-17x+495

f(11)=913

Step-by-step explanation:

I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.

The quadratic function that models the data will be;

y = 5x² - 17x + 495

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The model to estimate the number of fish at the lake on week 11 are;

Week = 0, 1, 2, 3, 4, 5, 6

Population = 495, 483, 481, 489, 507, 535, 573

Now,

Let the quadratic equation is;

y = ax² + bx + c

Substitute x = 0 and y = 495, we get;

495 = a × 0 + b × 0 + c

c = 495

Substitute x = 1 and y = 483, we get;

483 = a × 1 + b × 1 + c

483 = a + b + 495

a + b = 483 - 495

a + b = - 12   ... (i)

Substitute x = 2 and y = 481, we get;

481 = a × 4 + b × 2 + c

481 =  4a + 2b + 495

4a + 2b = 481 - 495

4a + 2b = - 14

2a + b = - 7   ... (ii)

Solve equation (i) and (ii), we get;

a = 5 and b = - 17

So, We get;

The quadratic equation is;

y = ax² + bx + c

y = 5x² - 17x + 495

Therefore, The quadratic function that models the data will be;

y = 5x² - 17x + 495

Learn more about the quadratic equation visit:

https://brainly.com/question/25841119

#SPJ2

Answer:

A=15

Step-by-step explanation:

Answer:

solution given.:

radius[r] =r

height[h]=1in

volume[V] of cylinder=196πin³

we have

volume[V] of cylinder=πr²h

196π=πr×1

r²=[tex] \frac{196π}{π}[/tex]

r=[tex] \sqrt{196} [/tex]

r=14in

so radius is 14in

Answer:

-√1/5

Step-by-step explanation:

If the product of 5 and w to the second power is equal to the sum of 9 and k, this is expressed as;

(5w)² = 9 + k

Given that k = -4, on substituting;

(5w)² = 9 + (-4)

(5w)² = 9-4

(5w)² = 5

25w² = 5

5w² = 1

w² = 1/5

w = ±√1/5

w = -√1/5

Hence the NEGATIVE value of w is -√1/5

Answer:

Hi how are you doing today Jasmine

Answer:

I think it's B)

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Given that,

2:7 is expressed in the form for 4:x.

We need to find the value of x.

2:7 must be equated to 4:x.

So,

[tex]2:7=4:x\\\\or\\\\\dfrac{2}{7}=\dfrac{4}{x}\\\\x=\dfrac{7\times 4}{2}\\\\x=14[/tex]

So, the value of x is equal to 14.

Answer:

18 in

Step-by-step explanation:

multiple base by height

Answer:

1/5

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

Answer:

I'm sorry but the document says "doesn't exist".

Step-by-step explanation:

I hope this helps! Have a great rest of your day!