7. During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an
exponential decay model for the amount of the original air left in the lungs if the initial amount of air in
the lungs is 500 ml. How much of the original air is present after 240 breaths?

Answer:

-3.8=n

Step-by-step explanation:

My goal is to get n all by itself, but its multiplied by 6. If I do the inverse operation (which is division) on both sides I will get -22.8/6=n. Now I can just simply combine the like terms and finalize my answer. 6 * 3=18 but -22.8 is a decimal number so my answer will range from around 3.5-3.9. if I divide -22.8/6 I get -3.8. My final answer is n=-3.8

Answer:

.06666666666

Step-by-step explanation:

Ans

Step-by-step explanation:

1/.15

Answer:

8.4 cm^3 to the nearest tenth.

Step-by-step explanation:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

So:

5^3 / 2^3 = 131 / v

v = 2^3 * 131 / 5^3

= 8 * 131 / 125

= 8.384.

The volume of smaller cone is 8.4 cm³

The volume of a cone formula is given as one-third the product of the area of the circular base and the height of the cone. According to the geometric and mathematical concepts, a cone can be termed as a pyramid with a circular cross-section. By measuring the height and radius of a cone, you can easily find out the volume of a cone. If the radius of the base of the cone is "r" and the height of the cone is "h", the volume of cone is given as V = (1/3)πr²h.

By applying Pythagoras theorem on the cone, we can find the relation between volume and slant height of the cone.

We know, h² + r² = L²

⇒ h = √(L² - r²)

where,

h is the height of the cone,

r is the radius of the base, and,

L is the slant height of the cone.

The volume of the cone in terms of slant height can be given as V = (1/3)πr²h = (1/3)πr²√(L² - r²).

Given:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

Then,

5³ / 2³ = 131 / v

v = 2³ * 131 / 5³

v = 8 * 131 / 125

v = 8.384 cm³

Learn more about volume here:

https://brainly.com/question/1984638

#SPJ2

Answer:

A.) 3[tex]\sqrt[3]{10}[/tex]

Step-by-step explanation:

 x3 = 270

      ↓

[Take the root from from both sides and solve]

      ↓

 x = 3[tex]\sqrt[3]{10}[/tex]

[Assuming you couldn't paste the square root symbol and subscript numbers, the answer should be A]

      ↓

 A.) 3[tex]\sqrt[3]{10}[/tex]

[ANSWER CHOICES]

 A.) x = 3 10

 B.) x = 10 3

 C.) x = 30 9

 D.) x = 9 30

Answer: 20√2

Step-by-step explanation:

Answer:

$9.50

Step-by-step explanation:

Answer: the unit rate is $9.50

and graph x to (0,0) and y to (1,9.5)

Step-by-step explanation:

Answer:

3.5 feet = 3 feet 6 inches

3 * 12 = 36

36 + 6 = 42 inches long

42 / 5/8 → 42 * 8/5 = 42*8/5

336 / 5 = 67.2

We can't put up part of a book, so we can fit 67 books.

Step-by-step explanation:

Answer:

C) [1, 2, 3, 4, 5, 6]

Step-by-step explanation:

Sample space is all possible outcomes of the event so she could roll any number on the die.

Answer:

5,6 she needs a higher number not anything lower then 5 or 6.

Step-by-step explanation:

Answer:

(6, 97) is the outlier.

Step-by-step explanation:

When we have a data set:

x: x₁, x₂, x₃, ..., xₙ

y: y₁, y₂, y₃, ..., yₙ

Each one of the pairs (x₁, y₁), (x₂, y₂), etc, is an ordered pair that belongs to the data set.

Usually, these values are distributed in some way that, we assume, is normalized. So if one of these ordered pairs is really different from the others, then that pair is called an "outlier".

In the data set, we have:

Number of homework completed vs Score assigned.

You can see that, as the number of homework completed increases, also does the score

For example, for the smaller number of homework completed, (5) the score is 67, the minimum score.

And as the number of homework completed reaches to 10, the score increases to 90 or 98.

But there is an outlier there, you can see that a student that only completed 6 times the homework, has a score of 97 (one of the largest scores) (this score is more than all the scores for the students with 6, 7, 8 and 9 completed homeworks) so we can conclude that this one is the outlier.

(6, 97) is the outlier.

Answer:

it is point A

Step-by-step explanation:

because it is in the centre of the ghraph and that's the origin

Answer:

36/2=18

18/2=9

9/3=3

3/3=1

List out the factors used: 2, 2, 3 & 3.

Pick one out of pairs of factors available: 2 & 3.

Multiply them: 2×3 = 6

6 is the square root of 36.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer:18.75

Step-by-step explanation:

Answer:

3/136

Step-by-step explanation:

128 + 3 + 5 = 136

= 3/136 (simplest form)

Answer:

19 is the square root of 361.

Answer:

answer: 19

Step-by-step explanation:

Hello love square roots are just the same number multiplied by itself so now we need to figure out what multiplied by itself = 361 well 19 x 19 = 361 so 19 is the square root of 361 Hope this helps!

Answer:

210 yd³

Step-by-step explanation:

Volume of a triangular prism

= the area of a triangular base × the height

The area of the base

= (10×7)÷2

= 35 yd²

The volume of the prism

= 35 × 6

= 210 yd³

Answer:

I hoped this helped.

Step-by-step explanation:

1. fined base shaped like rectangles and squares

2. find the area of those shaped using length times width

3. the the areas to find the area of the composite figure

Answer:

B. (f-g)(x)=4^x-1-2x+11

(f-g)(x) = (4^x-1+6) - (2x-5)

apply like terms while retaining order of operations

6 - (-5) = 11

4^x - 1 - 2x + 11

Step-by-step explanation:

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x)

= 2x + 1

Answer:

Part A: The tent is shaped like a square pyramid

Part B: a 36ft tent

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don’t know

Answer:

(3,2)

Step-by-step explanation:

The vertex is where the two rays meet at a point

The vertex is at x=3 and y =2

(3,2)

Step-by-step explanation:

[tex] {x}^{2} - 2x = - 2 \\ {x}^{2} - 2x + 2 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2)± \sqrt{ {( - 2)}^{2} - (4 \times 1 \times 2)} }{2 \times 1} \\ x = \frac{2± \sqrt{ - 4} }{2} \\ x = \frac{2±2i}{2} \\ x = \frac{2 + 2i}{2} \: or \: \frac{2 - 2i}{2} \\ x = 1 + i \: \: or \: \: 1 - i \\ x = 1±i[/tex]

Answer:

C

Step-by-step explanation:

i am smart

Answer:  -3? i think..

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1/2 is equal to 2/4 so 1/2 is greater than 1/4

Answer:

C

Step-by-step explanation:

A)

[tex]\frac{1}{2} = \frac{4}{8}[/tex]

[tex]\frac{4}{8} < \frac{1}{8}\ is\ wrong!\ Therefore\ A\ is\ wrong[/tex]

B)

[tex]\frac{2}{1} = \frac{4}{2}[/tex]

[tex]\frac{1}{2} = \frac{4}{2}\ is\ wrong!\ Therefore\ B\ is\ wrong[/tex]

C)

[tex]\frac{1}{2} = \frac{2}{4}[/tex]

[tex]\frac{2}{4} > \frac{1}{4}\ is\ correct!\ Therefore\ C\ is\ correct[/tex]

D)

[tex]\frac{1}{2} = \frac{2}{6}[/tex]

[tex]\frac{2}{6} < \frac{1}{6}\ is\ wrong!\ Therefore\ D\ is\ wrong[/tex]

Answer:

201.06in^2

Step-by-step explanation:

Use area formula which is pi(r)^2

Answer:

200.96 in.

Step-by-step explanation:

**THE PRIZE WHEEL IS THE SHAPE OF A CIRCLE.**

The formula for area of a circle is: πr² (3.14 × radius × radius).

**3.14 IS COMMONLY USED FOR PI**

According to the word problem, the prize wheel has a radius of 8.

πr² (3.14 × radius × radius)

π8² (3.14 × 8 × 8) = 200.96

Therefore, the area of the prize wheel is 200.96 in.

Answer:

quart of oil = $1.25

labour = $13.25

Step-by-step explanation:

let x = cost of each quart of oil

y = flat fee for labour

two equations can be formed from the question

5x + y = 19.50 equation 1

7x + y = 22       equation 2

subtract equation 1 from 2

2x = 2.5

divide both sides by 2

x = 1.25

substitute for x in equation 1

5(1.25) + y = 19.50

y = 19.50 - 6.25

y = $13.25

Answer:

y = (x-4)²

Step-by-step explanation:

vertex (h , k)

h = 4   .... axis of symmetry

k = (6 + -6) / 2 = 0  .... midpoint of focus and directrix

equation of parabola: y = (x-4)²       y = (x-h)² + k