Andy made a spirometer for a physics experiment. The spirometer is designed to measure the volume of air in a person's lungs. Andy found that when he breathes normally, he inhales and exhales 0.5 of a liter of air per breath. He also found that when breathing normally, after exhaling, he still has 2 liters of air in his lungs.

Andy recorded 15 breaths in one minute, starting at the beginning of an exhale.

If Andy inhaled and exhaled the exact same amount of air in each breath, which of the following functions best models the amount of air in Andy's lungs t seconds after he started recording?

Answers

Answer 1

A(t)=0.25cos(x/2 2)+2.25


Related Questions

PLEASE HELP ME GREATLY APPRECIATE IT

Answers

Answer:

D

Step-by-step explanation:

Look at the attachment

i need help thanks fvbfuvfubvufvfv

Answers

A. because when you divide all of the groups, 17.699/11, 41.834/26, 54.706/34, they all get the same answer, 1.609, so they are all proportional, because the relationships stays the same

Hope this helps!

In the diagram ABD and BDC are supplementary, the measure of EDF = 9x, and the measure of ABD = (2x + 105).
Based on this information, which equation can be used to find the value of x?

Options:
1. 9x=2x+105
2. 2x+105+9x=180
3. 2x+105+9x=80
4. 2x+106-9x=90

Answers

Answer:

2) 2x + 105 + 9x = 180

Step-by-step explanation:

∠BDC = ∠EDF   { vertically opposite angles are equal}

∠BDC = 9x

∠ABD + ∠BDC = 180   {supplementary}

2x + 105 + 9x = 180

Can someone pls help

Answers

Answer:

a=he went back home

b=speed=240km/h

Step-by-step explanation:

ps: wouldn't mind brainliest

Answer:

a) Jo moved 1 kn from her starting position at minute 10

b) 0.13 km/min

Step-by-step explanation:

Look at the picture

Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?

Answers

Answer:

Its D

Step-by-step explanation:

Can some one help me???

Answers

Answer:

You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even

Step-by-step explanation:

Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent

Answers

Answer:

=82%

Step-by-step explanation:

64:78*100=82%

The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?

Answers

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

please help me out! i have a few more of these questions, about 2

Answers

Step-by-step explanation:

Start with a point on (0,6) This is because the 6 represents the point on the y - axis

Then, move up 1 and 3 to the right; This should result with a point on (3,7)

Keep repeating this to get your line

Answer:

x intercept = (6,0)

y intercept = (0,-18)

the line is negative so it'll look like that -> /

Step-by-step explanation:

Solve the following problem:

Given: △SAL, SA = LA

AT − ∠bisector

Prove: m∠L = m∠S

Answers

Answer:

[tex]\angle L=\angle S[/tex] using congruence rule

Step-by-step explanation:

Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]

To prove: [tex]\angle L=\angle S[/tex]

Proof:

Two triangles are congruent if they have same shape and same size.

Consider triangles ALT and AST

AL = AS

As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]

AT = AT (common side)

So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )

Here, SAS denotes side-angle-side

[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)

Hence proved

Explanation:

First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.

Since A = A, we can remove A and it gives us m∠L = m∠S.

If you need to show work in math terms, your answer should look something like this:

1. △ ALT ≅ △AST - SAS

2. AL ≅ AS - Given

3. m∠ L ≅ m∠S

Hope this helped!

What is 13.825 as the nearest tenth please help.

Answers

Answer:

13.8

Step-by-step explanation:

13.830 is the nearest tenth

A box is designed to hold pencils. The front of the box will be made from a clear material for display. The rest of the box will be made from cardboard.


A prism has a length of 20 centimeters, height of 5 centimeters, and width of 4 centimeters.


What is the surface area of the side with the clear material?

Answers

Answer:

area of a rectangle/front side of the box = 100 cm²

Step-by-step explanation:

The prism box is a rectangular prism and the front side of the box will be made of the clear material. The other sides will be made of cardboard paper. The surface area of the side with clear material is only the area of the front side of the box. The area of only the front side is the area of 1 rectangle.

The box has a length of 20 cm , height of 5 cm and a width of 4 cm. The surface area of only the front side of the box which is the area of one rectangle only deals with the height and the length.

area of a rectangle/front side = length × height

where

length = 20 cm

height = 5 cm

area of a rectangle/front side = 20 × 5

area of a rectangle/front side = 100 cm²

Answer:

D. 100

Step-by-step explanation:

20x5=100

I did the test! Good luck with the rest of your test! Have a good day/night! <3

need asap!!!!!!!! please

Answers

Answer:

ZY = 14, SQ= 28

Step-by-step explanation:

Because of "ZR=ZS" and "YR=YQ", so we can apply the Thales theorem:

[tex]\frac{x+2}{3x-8}=\frac{RZ}{RS} =\frac{1}{2} \\[/tex]

so 2(x+2)= 3x-8

2x+4 = 3x-8

2x-3x= -8 -4

-x = -12

or x =12

ZY = x+ 2 = 12+ 2 = 14

SQ= 2*ZY= 2*14 = 28

Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is .

The probability that 3 out of the next 5 voters approving the proposal is

Answers

Answer:

Probability that 3 out of the next 5 voters approving the proposal is 0.3125.

Step-by-step explanation:

We are given that the sample probability of the voters approving the proposal is 50% and Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]

where, n = number of trials (samples) taken = 5

            r = number of success = exactly 3

            p = probability of success which in our question is probability of

                  the voters approving the proposal, i.e; p = 50%

Let X = Number of voters approving the proposal

So, X ~ Binom(n = 5 , p = 0.50)

Now, Probability that 3 out of the next 5 voters approving the proposal is given by = P(X = 3)

               P(X = 3)  =  [tex]\binom{5}{3} \times 0.50^{3} \times (1-0.50)^{5-3}[/tex]

                              =  [tex]10 \times 0.50^{3} \times 0.50^{2}[/tex]

                              =  0.3125

What is easy-access credit?
A) credit that is to be repaid in full by a specific date
B) a loan given for a short period of time that is not dependent on credit history
C) the amount of money borrowed excluding accrued interest
D) an amount of time during which a loan can be repaid without interest

Answers

The answer is B. Loan given for a short period of time that is not dependent on credit history

I just took the quiz and I am big brain.

A loan given for a short period of time that is not dependent on credit history is called a easy - access credit.

What is credit?

Credit is the ability to borrow money or access goods or services with the understanding that you'll pay later.

Given is the easy-access credit.

Easy access credit refers to very short-term and usually very high interest loans. It's a fancy way of saying payday loans, pawn shop transactions, or title loans.

Therefore, a loan given for a short period of time that is not dependent on credit history is called a easy - access credit.

To solve more questions on credits, visit the link below-

https://brainly.com/question/29632930

#SPJ2

plz help

(2x/0.25)−0.525=7.475

what's x?

Answers

Answer:

i used calculator and got 1

Step-by-step explanation:

I did the same thing and I also got X=1

y varies directly as x. y=50 when x=5 find y when x=11????

Answers

Step-by-step explanation:

given

y is directly to x

to remove directly we use constant let constant be k

y=k x. (1)

let calculate value of k

as it is given

y=50 when x=5

so put in above equation (1)

50=k(5)

50/5=k

10=k

now let find y when x =11

in above equation put the value of x and k

y=10×11

y= 110

Surface area of a cylinder in terms of pi

Answers

The answer is B, 304 pi inches^2

Which statement can you be sure is true?

A.

NO
is parallel to ML.
B.

NO
is proportional to ML.
C.

NO
is not parallel to ML.
D.
None of the above is true.

Answers

Answer:

C

Step-by-step explanation:

NO is not parallel to ML.

10m - (my - y2) if m = 10 and y = 6

Answers

Always substitute variable first !

10(10) - ( 10x6 - 2(6) )

100- ( 60-12)

100 - 48

52!

YOU WILL GET BRAINLIST PLEASE HELP

The mean of four numbers is 25. Three of the four numbers are 20, 26, and 26. What is the fourth number?

Answers

Answer:

28 hope this helped

Step-by-step explanation:

20+26+26=72

72+28=100

100/4=25

let the number be X

20 + 26 + 26 + X /4 = 25

72 + X /4 = 25

cross multiply

72 + X = 25*4

72 + X = 100

X = 100.- 72 = 28

X = 28

proof

20 + 26 + 26 +28 / 5 = 25

I hope it will help. can I have braainlest

You invest $5,000.00 with 5% quarterly compounded interest. You add $1,000.00 each year. At the end of five years, you will
have______________.

a
$10,228.50
b
$9,228.50
c
$11,228.50
d
$12,228.50
ASAP

Answers

Shi I would say b . A is too much and so is d

Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x

Answers

Answer:

ln(216[tex]x^{4}[/tex] )

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

log [tex]x^{n}[/tex] ⇔ n log x

Given

3ln6 + 4lnx

= ln 6³ + ln[tex]x^{4}[/tex]

= ln (216[tex]x^{4}[/tex] )

Select the correct answer. Solve the equation by completing the square. 0 = x2 − 14x A. x = 0, 14 B. x = -56, 42 C. x = -42, 56 D. x = -14, 0

Answers

Answer:

A

Step-by-step explanation:

Given

x² - 14x = 0

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 7)x + 49 = 0 + 49

(x - 7)² = 49 ( take the square root of both sides )

x - 7 = ± [tex]\sqrt{49}[/tex] = ± 7 ( add 7 to both sides )

x = 7 ± 7 , thus

x = 7 + 7 = 14 or x = 7 - 7 = 0

PLEASE HELP ME
10 points

Answers

Answer:

Between -2 and 0

Step-by-step explanation:

why is 6 1/2 equal to the square root of 6

Answers

Because It Can Be Simplified Many Ways

As both of the values are equal to each other.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number.

Here, given that,

6^(1/2) and √6

Now, we know that both have same value.

6^(1/2)=√6 ≈2.45

Hence, they are equal.

To learn more on square root click:

brainly.com/question/29286039

#SPJ2

Which inequality correctly compares Five-sixths, One-half, Three-ninths, and 1?
Three-ninths < Five-sixths < One-half < 1
Three-ninths < One-half < Five-sixths < 1
Five-sixths < Three-ninths < One-half < 1
Five-sixths < One-half < Three-ninths < 1

Answers

Answer:

Three-ninths < One-half < Five-sixths < 1

Step-by-step explanation:

We are supposed to compares Five-sixths, One-half, Three-ninths, and 1

[tex]\frac{5}{6} , \frac{1}{2},\frac{3}{9} , 1[/tex]

Take LCM of denominators

LCM of 6,9,2,1 = 18

[tex]\frac{5}{6} \times \frac{3}{3}=\frac{15}{18}[/tex]

[tex]\frac{1}{2} \times \frac{9}{9}=\frac{9}{18}[/tex]

[tex]\frac{3}{9} \times \frac{2}{2}=\frac{6}{18}[/tex]

[tex]1 \times \frac{18}{18} = \frac{18}{18}[/tex]

[tex]\frac{6}{18}<\frac{9}{18}<\frac{15}{18}<\frac{18}{18}[/tex]

[tex]\frac{3}{9}<\frac{1}{2}<\frac{5}{6} < 1[/tex]

Three-ninths < One-half < Five-sixths < 1

Answer:

Three-ninths < One-half < Five-sixths < 1

Step-by-step explanation:

I'm sorry if its blurry I'm on my laptop btw theres a 7 if you can't see it

Answers

(please give brainliest)

Bathroom = 14 ft x 7 ft = 98 ft^2

Living Room = 21 ft x 14 ft = 294 ft^2

Closet = 7 ft x 7ft = 49 ft^2

21 x (7 + 3.5)

21 x 10.5

210 + 10.5 = 220.5

Bedroom =  21 ft x 10.5 ft = 220.5 ft^2

14 x (7 + 3.5)

14 x 10.5

140 + 7

Kitchen = 14 ft x 10.5 ft = 147 ft^2

Find the Slope. (Slopes are incredibly difficult for me at the time could you help??)

Answers

Answer:

[tex]\frac{rise}{run} =\frac{4}{1} =4[/tex]

Step-by-step explanation:

(3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)

Answers

Answer: [tex]-2x^3-14x^2+7x-4[/tex]

Step-by-step explanation:

[tex](3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)[/tex]

Distribute the negative sign.

[tex](3x^3-2x^2+4x-8)-5x^3-12x^2+3x+4[/tex]

Remove the other parentheses.

[tex]3x^3-2x^2+4x-8-5x^3-12x^2+3x+4[/tex]

Combine like terms.

[tex]-2x^3-14x^2+7x-4[/tex]

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