The volume V in liters of air in the lungs during a five- second respiratory cycle is approximated by the model V= 0.1724t+0.1523t^2-0.0377t^3 where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.

Answers

Answer 1

Answer:

[tex]\frac{\int\limits^5_0 {0.1724t+0.1523t^2-0.0377t^3} \, dt }{5-0} = 0.522[/tex]

Step-by-step explanation:

as with all functions f(t), the average value on [a,b] is

[tex]\frac{\int\limits^b_a {f(t)} \, dt }{b-a}[/tex]


Related Questions

Which of the following equations are written in standard form?

А. 3x + 5y = -7

B. 2y + x = 12

C. 5x+10y = -21

D. 1.2x + 5y = 23.7
PLEASE HELP ME ASAP

Answers

Answers A, C, and D are written in standard form.

Answer B is NOT written correctly in standard form.

If x is greater than 0, what is the difference of 6x√14x - 5√56x^3 in simplest radical form?

Answers

Answer:

6x√14x - 5√56x^3 = -4√14x√x

I hope this helps at least. :)

Simply put, expressing a radical in its lowest extreme form implies simplifying it and that there are no more squared roots, cube roots, 4th roots, and so on to find. This also entails eliminating any radical from a fraction's base, and further calculation can be defined as follows:

Given:

[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]

To find:

simplest radical form=?

Solution:

[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]

[tex]\to \bold{6x\sqrt{14x} - 5 \sqrt{4 \times 14 \times x \times x \times x}}\\\\\to \bold{6x\sqrt{14x} - 5 \times 2x \sqrt{ 14 x}}\\\\\to \bold{6x\sqrt{14x} -10x \sqrt{ 14 x}}\\\\\to \bold{\sqrt{14x} (6x-10x)}\\\\\to \bold{\sqrt{14x} (-4x)}\\\\\to \bold{-4x\sqrt{14x} }\\\\[/tex]

Learn more:

brainly.com/question/19792151

X2 + 13x + 36 trinomial

Answers

(x+9) & (x+4) is the answer

Answer:

x × 2 + 468

2 (x + 234)

I guess this is it

5/8 ÷ 3/8 help plz thanks​

Answers

Answer:

1.66666666667

Step-by-step explanation:

Please Helpppppp!!!!!

Answers

Answer:

AC^2=AD^2+CD^2= 3^2+3= 12

AC= [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

At the beginning of last year,there were 368 students at the elementary school.By the beginning of this year,72 of those students have moved to other school districts and 64 new students arrived. about how many students started the school year this year

Answers

Answer:

360 students

Step-by-step explanation:

We start off with 368.

Then 72 leave the school, so subtract 72 from our total.

368 - 72 = 296

But, then 64 new students join, so add this to our new total.

296 + 64 = 360.

Ask any questions you have in the comments, and if this helps, maybe consider giving a Brainliest :P

00:00
Select all the values of p that are solutions for this inequality
10p - 8 >12
A. -1
B. 0
C. 1
D. 2
E. 3

Answers

Answer:

The answer is D. and E.

Step-by-step explanation:

The answer is D and E because 10 multiplied by 2 is 20 and 20 is bigger then 12 and 10 times 3 is 30 which is also bigger than 12.

P.S Can I have brainliest?

From the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

10p - 8 >12

10p > 12 + 8

10p > 20

p > 2

p ∈ (2, ∞)

Thus, from the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.

Learn more about the inequality here:

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#SPJ2

fill in the table of values so that this is a proportional relationship with k=3/2

Answers

Step-by-step explanation:

the table is non-existent

A tape diagram. There are 35 6th graders with an older sibling out of 100 6th graders. There are question mark 6th graders with an older sibling out of 300 6th graders. StartFraction part Over whole EndFraction = StartFraction 35 times 3 Over 100 times 3 EndFraction = StartFraction question mark Over 300 EndFraction Graph If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write an equivalent ratio as the percent and then create the percent . 6th graders have an older brother or sister.

Answers

Answer:

35 a

Step-by-step explanation:

ada

Answer:

1. Percent 2. Ratio 3. Ratio 4. 105

Step-by-step explanation:

I just did it

BRAINLIEST!!!!!!!!!!

Answers

The answer would be 87 deer.

1450(.88)^22 = 87.1 = 87
Answer: 87
Plug { 22 } into { t }

find the slope and y-intercept of the line in the graph. Express the answers as simplified fractions, if necessary.

Answers

Answer:

y=1 3/5x+-5

Step-by-step explanation:

So the y intercept is where your slope meets the middle, basically the y. So it hit the y on -5. And the rise and run 8/5 rise is 8 and run is 5. 8/5= 1 3/5. in equation it is y=1 3/5x+-5.

A 150 W driveway light produces 9.3 × 104
J of light energy
over a 4.0 h period. If the light uses 2.06 × 106
J of energy in
the 4.0 h, then what is its efficiency?

Show all work

Answers

Answer:

4.51456%

Step-by-step explanation:

Efficiency equation: output/input*100%

(9.3*10^4)/(2.03*10^6)*100 = 4.51456%

which table of values matches the equation y=2x-3

Answers

Answer:

What are the possible answer??/

Step-by-step explanation:

The set of points satisfying the equation y = 2x - 3 is a. {(0, -3), (1, -1), (1.5, 0), (2,1)}.

An equation is the combination of 2 or more expressions separated by the equality sign(=), signifying the equality of expressions.

To obtain the set of points satisfying the equation y = 2x - 3.

The given equation is y = 2x - 3.

Let's take x = 0,

y = 2 × 0 - 3 = -3,

the point is (0, -3).

Let's take y = 0,

0 = 2x - 3

2x = 3

x = [tex]\frac{3}{2}[/tex]

x = 1.5,

the point is (1.5, 0).

Let's take x = 1,

y = 2 × 1 - 3 = -1,

the point is (1, -1).

Let's take y = 1,

1 = 2x - 3

2x = 1 + 3

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2,

the point is (2,1).

Hence, the set of points satisfying the equation is {(0, -3), (1, -1), (1.5, 0), (2,1)}.

Learn more about Equation here:

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The complete question is as follows:

Which table of values matches the equation y = 2x - 3,

a. {(0, -3), (1.5, 0), (1, -1), (2,1)}.

b. {(0, -2), (1.5, 0), (1, -1), (2,1)}.

c. {(0, -3), (1.5, 0), (1, -4), (2,1)}.

d. {(-1,1), (0, -3), (1.5, 0), (1, -1)}.

what the missing value of -4x-y=24

Answers

Answer:

6

Step-by-step explanation:

24/-4

Answer:

its is 6

Step-by-step explanation:

The cordinate of point A on a grid are (-3,-2). Point A is reflected across the y-axis to obtain part B. The coordinates of point B are (__,-2)

Answers

Step-by-step explanation:

When you reflect a point across the y-axis, the x-coordinate gets multiplied by -1 and the y-coordinate remains the same.

A(-3, -2) => B(3, -2).

The number that is filled in the blank is 3.

how to take pictures?

Answers

You go to the scan and tap that and then take a photo of the question you have and then press use photo then you have your answers that should show up

Answer:

when you first go on to brainly it should say scan if you are on a chrome book it doesn't work

Step-by-step explanation:

Hi can u plzz help me with these thank you!!!

1. If the diameter of a circular object is 10 feet. Find the radius and the circumference. Use 3.14 for π.


2. Find the perimeter of the window. R = 4ft

Answers

Answer:

1.

[tex]Radius = 5ft[/tex]

[tex]Circumference = 31.4\ ft[/tex]

2.

[tex]Perimeter = 25.12\ ft[/tex]

Step-by-step explanation:

Solving (1):

Given

[tex]Diameter = 10ft[/tex]

Required

Determine the radius and circumference

Radius is calculated as follows:

[tex]Radius = \frac{1}{2} * Diameter[/tex]

[tex]Radius = \frac{1}{2} * 10ft[/tex]

[tex]Radius = 5ft[/tex]

The circumference is calculated using:

[tex]Circumference = 2 * \pi * Radius[/tex]

[tex]Circumference = 2 * 3.14 * 5ft[/tex]

[tex]Circumference = 31.4\ ft[/tex]

Solving (2):

Given

[tex]R = 4ft[/tex]

Assume that the window is circular, the perimeter is calculated as follows:

[tex]Perimeter = 2 * \pi * R[/tex]

[tex]Perimeter = 2 * 3.14 * 4ft[/tex]

[tex]Perimeter = 25.12\ ft[/tex]

There are 5,375 pencils in 25 cases. Find the unit rate. pls

Answers

Answer:

5,375/25= 215 pencils per case

Step-by-step explanation:

Answer: 215 Pencils are in each case

Step-by-step explanation:

5,375/25 equals the unit rate

PLEASE HELP ASAP!!
A
B
C
D

Answers

Answer:

I think its B

Step-by-step explanation:

I'm not if you mean y = 3 or y = 3 times x -w-"

The slope of a line is 1/2 and it passes through the point (4,−7)

. Which of the following is the equation of the line?
Select one:
A) y=1/2x+9

B) y=1/2x+4

C) y=1/2x−7

D) y=1/2x−9

Answers

Answer:

Step-by-step explanation:

its the last one heres a graph of it

i hope it helps :)

In which of the tables below x and y are inversely proportional? Find the constant of variation. PLZ PLZ PLZ PLZ PLZ PLZ HELP WILL GIVE 5 STARS AND THANKS AND MARK BRAINLYIST
(a)
x 3 4 5 5.5
y 8 6 4.8 4

(b)
x 0.1 0.5 75 100
y 300 60 0.4 0.3

HELP plz :( :((((((((

Answers

The answer is B

Step-by-step explanation:

the table B represent an inverse variation, the constant of variation k is 30

- 3x - 10 = 32
X = 14
X = -14
X = -10
x =10

Answers

Anyways cuh it’s -3x-10=32

-3x=42
-3

X=-14

Answer: -14

Step-by-step explanation:

-3x-10=32

Since the 10 is negative you have to add 10 on the right side of the equal sign. you add 10 to the negative 10 and it cancels out and becomes zero. Then you have to add 10 to the 32 and it becomes 42. Divide the 42 by negative 3 and you get -14.

Misty determined that she gets 64 miles per 2 gallons of gas from her car as she drives from her house to the ski slope. Create a ratio that describes Misty's situation.

Answers

Answer:

For every 64 miles, she uses 2 gallons of gas. So the answer can be 64:2 or 31:1

Step-by-step explanation:

5/6 divided by 1 and 1/2?

Answers

Answer:

5/9

Step-by-step explanation:

(5/6)/1 1/2

5/9

Merry Christmas

Which graph shows the points (−11
2
, 1
2
) and (1.5, −0.5) plotted correctly?

On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down.
On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.

Answers

Answer:

b

Step-by-step explanation: got it right on edge

Answer:

B

Step-by-step explanation:

got it right on edge

a recipe ask for 1/2 cup of ingrediants. how many cups of B fo you need when using 4 cups of A.​

Answers

2. Honestly ur question doesn’t make sense so I just did 1/2 times 4

HELP NEEDED ASAP FOR 10 POINTS

Answers

Answer:

Option D

Step-by-step explanation:

(10x + 13) + (12 + 9x) + ( 13x + 12) + 55 + 44 = 360

32x + 136 = 360

Subtract 136 from both sides;

32x = 224

Divide both sides by 32;

x = 7

between two points
context
(Application 4)
An archaeological dig is marked with a rectangular grid where each square is 4 feet on a side. An important artifact is discovered
at the point corresponding to (-45, 20) on the grid. How far is this from the control tent, which is at the point (5, 40)? Round to
the nearest tenth of a foot.
The distance between the artifact and the control tent, to the nearest tenth of a foot, is
approximately feet.

Answers

7y-5x= 2xy your welcome

Choose the equation that represents the line that passes through the point (-1, 6) and has a slope of -3.
y=-3x + 3
y=-3x - 6
y = 3x - 3
y = 3x - 1

Answers

Answer:

Equation of line is [tex]\mathbf{y=-3x+3}[/tex]

Option A is correct.

Step-by-step explanation:

We need to write an equation that represents the line that passes through the point (-1, 6) and has a slope of -3.

The equation will be of slope-intercept form: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

We are given slope m =-3, we need to find y-intercept b

Finding y-intercept

using slope m=-3 and point (-1, 6)

[tex]y=mx+b\\6=-3(-1)+b\\6=3+b\\b=6-3\\b=3[/tex]

So, y-intercept b is 3

Now the equation of line having slope m= -3 and y-intercept b = 3 is

[tex]y=mx+b\\y=-3x+3[/tex]

Equation of line is [tex]\mathbf{y=-3x+3}[/tex]

Option A is correct.

Answer:

a or the first one

Step-by-step explanation:

y=-3x+3

IF YOU DON’T KNOW THE ANSWER THEN DON’T ANSWER. If you do, your comment as well as your account will be reported.

Last week, Ray worked 46 hours. He incorrectly calculated he earned $45 of additional pay. What was Ray's error when he miscalculated his overtime pay? How much was Ray's paycheck for working 46 hours. Show your work. Would Ray make more money working 40 hours a week for two weeks or working 32 hours one week and 46 hours the next? Justify your answer.

Whoever answers correctly WILL get Brainliest.

Remember to stay safe and inside as much as possible. HAPPU HOLIDAYS! God loves you and have a blessed one! :)

Answers

Answer: $69

Step-by-step explanation: For every hour ray works over 40 hours, he makes an additional $7.50. According to part B, Ray calculated incorrectly that he earned $45 of additional pay. His error when he calculated incorrectly his overtime pay was that he didn't mulitply correctly, and that gave him the andwer of $45. So therefore, Ray's paycheck for working 46 hours was $69. How I found out my answer I did 150% times 46 which gave me 6,900. After that I divided 6,900 by 100 which gave me 69. If we wanna check our answer we can always divide 69 and 46 hours and get 150%. So In Conclusion, Ray would make more oney working 32 hours a week, and then 46 the next week. We also found this out, because working 32 hours one week ray makes $48, but when he works 46 hours a week, ray makes $69 and when adding those together it makes much more than 40 hours a week for two weeks.

Happy Holidays!!!

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