When you breathe normally, about 12% of the air in your lungs is replaced with each breath. Write a function that models the amount of the original air left in your lungs, given that the initial volume of air is 500 ml. Use your model to determine how much of the original 500 ml remains after 50 breaths.
Answers
Answer:
The expression is: air(n) = air(0)*0.88^n
The amount of original air in our lungs after 50 breaths if the initial amount was 500 ml is equal to 0.83775 ml.
Step-by-step explanation:
Since the original air that was in my lung leaves at a rate of 12%, this means that for each breath the volume of original air in my lung is the prior - 12%, in other words it is the same as 88% from the last breath. Therefore we can create an expression that models this decay by doing the following:
Originally:
air(0) = 500 ml
After the first breath we lose 12%, so:
air(1) = air(0)*0.88
This happens again for the second breath:
air(2) = air(1)*0.88 = air(0)*0.88*0.88 = air(0)*(0.88)²
This will repeat as many times as we breath, therefore the expression that models this decay is:
air(n) = air(0)*0.88^n
Applying the data from the problem, we have:
air(n) = 500*0.88^n
To find out the amount of air after 50 breaths, we need to make n = 50 and solve the equation.
air(50) = 500*0.88^(50) = 500*0.0016755 = 0.83775 ml
Related Questions
Amal usually brings lunch to the school in the lunch box shown below. The length, breadth, and height of the box are in the ratio of 2:3:4 and the sum of the cubes of length, breadth, and height of the box equals 33957 cm³.
Find the length of the longest edge of the box.
Find the sum of the length and breadth of the box.
Answers
Answer: length of longest side = 15092 cm
sum of length and breadth = 18856 cm
Step-by-step explanation:
1st question
length : breadth : height
2 : 3 : 4
2 + 3 + 4 = 9
33957 ÷ 9 = 3773
longest side is the height because it has the biggest number in the ratio
∴ longest side = 4 × 3773 = 15092 cm
2nd question
length : breadth : height
2 : 3 : 4
2 + 3 + 4 = 9
33957 ÷ 9 = 3773
→ length = 2 × 3773 = 7546 cm
→ breadth = 3 × 3773 = 11319 cm
∴ length + breadth = 7546 + 11319 = 18865 cm
Hope this helps!
The Length of longest edge of the box = 28 cm
The Sum of length and breadth of the box = 35 cm
Steps to calculate the length, breadth and height
Given, ratio(length : breadth : height) = (2:3: 4)
Let length = 2x, breadth = 3x and, height = 4x
Given, the sum of the cubes of length, breadth, and height of the box equals 33957 cm, therefore
\((2x)^3\) + \((3x)^3\) + \((4x)^3\) = 33957
8\(x^{3}\) + 27\(x^{3}\) + 64\(x^{3}\) = 33957
99\(x^{3}\) = 33957
\(x^{3}\) = 343
\(x^3\) = \(7^3\)
x = 7.
Therefore, length = 2x = 2*7 = 14 cm, breadth = 3x = 3*7 = 21 cm, height = 4x = 4*7 = 28 cm. Hence, Length of longest side(height) = 28 cm, Sum of length and breadth = 35 cm
Learn more about cubes:
brainly.com/question/19891526
brainly.com/question/14075440
....................
Answers
Answer:
?
Step-by-step explanation:
Quinn's mom went to the same middle school that Quinn is now attending. The current student population is 817 students. Since Quinn's mom attended, the school has experienced a
57% increase in population. About how many students were enrolled at the school when Quinn's mom attended?
Answers
Answer:
520
Step-by-step explanation:
Past number of pupils: p
Increase of 57% = 1.57
Present number of pupils = 817
p x 1.57 = 817
p = 817 divided by 1.57 = 520.382
rounded to the nearest whole number = 520 (this is why the question says "about" how many...)
57 x 817 = 46569
46569 divided by 100 = 465.69
817-465.69 = 351.31
Answer : 351
Explanation : 57 times 817 equals to 46569 and then you divided by 100 . Then it equals to 465.69 . To find out the how many more students were enrolled you have to subtract 465.69 from 817 and then you get 351.31 which you round to 351 .
What do I do where it says "Rewrite The False Statement To Make It True"?
Answers
Answer:
the rate of change is $50
Step-by-step explanation:
each ticket costs $50 not 100
Each ticket cost 50$ and 2 cost 100
The cost of every college is expected to increase 3.5% next year. Write an equation that will help calculate the cost of other colleges next year. Use t to represent this year's cost and n
to represent next year's cost.
Answers
Answer:
n=t+t0.035
Step-by-step explanation:
If this year's cost is t, and next year's is n, and the difference between them is 3.5/100, so it is t, this year's cost, plus 0.035 of t, that is next years cost, n.
Answer: n=103.5t
Step-by-step explanation:
I don't have a step-by-step explanation but I hope this helps! :)
Please help me! im on an assignment an cant figure it out
Answers
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47
NEED HELP ASAP Match each set of information about a circle with the area of that circle.
Drag and drop the card to match the information.
Answers
Answer:
the first one is A The second on C the third one D and last one B
Step-by-step explanation:
2.C
3.D
4.D
Hope this helps
A pole that is 2.5m tall casts a shadow that is 1.03m long. At the same time, a nearby tower casts a shadow that is 43.5m long. How tall is the tower? Round your answer to the nearest meter.
Answers
Answer: 126 meters
Step-by-step explanation: ez
Answer:
126 meters
Step-by-step explanation:
I can't really explain it but I hope I'm right! xx
50 POINTS MATHEMATICS READ ALL IMAGES AND ANSWER QUESTIONS.
Answers
Answer:
Step-by-step explanation:
first picture you are supposed to organize the number from smallest to largest so start with 4, 4, 4.45, 4.75, 5, 5.25, 5.5, 5.5
From the anime Naruto, the character Madara bought two pair of shoes from Nike & Adidas.
The cost of the Nike is
ହ
of Adidas’s cost. If the Nike cost $84, how much is the Adidas?
Write & solve an Algebraic Equation.
Answers
Answer:
$163+x or$163x
Step-by-step explanation:
-7(n+3)-8(1+8n) pls help
Answers
Answer:
−71−29
Step-by-step explanation:
Distribute
Rearrange terms
Distribute
Subtract the numbers
Combine like terms
Solution
Hope this helps!!! good luck!!
I need help and I need to show work HELP PLS
Answers
Answer:
31
Step-by-step explanation:
120x.25=95
80x.20=64
95-64=31
Answer:
The answer is 30 percent
Step-by-step explanation:
BRAINLIEST IF correct
Answers
Answer:
1.
25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.
2. I expect the company to reject 11 of them because 25-36 = 11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Okayy, so we know that the domain for the flea collars (let's call them x for short) is:
\(14\leq x\leq 16\)
So basically we can eliminate all of the numbers that don't fit the inequality
In this set of numbers we are looking to eliminate the 13's and the 17's
17, 14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16, 13, 13
13, 13, 13, 14, 14, 13, 17, 14, 15, 13, 14, 15, 16, 17, 14, 17, 14, 15
The bolded ones are the ones to eliminate, also that took way too long to type those :,)
Now here's what's left:
14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16
14, 14, 14, 15, 14, 15, 16, 14, 14, 15
Now we can answer the questions
A) What percent of collars would be acceptable?
To find this answer we must find the percent of collars that are left out of all of the collars we used to have
(I hope that makes somewhat sense)
To find this we need to know the number of collars we started with and the number of collars we have left
We started with 36
We have 25 left
25/36 is about
69.44 percent
This number works even though we only used 36 because the ratio of good collars to be bad collars should be consistent throughout the whole 720 collars
nExT qUeStIoN
B) How many collars
What is the mean of the data?
Weight of Dogs In the Pet Store
Stem Leaves
0 3, 8
1 0, 1, 4, 7,
2 2, 4, 5
3 5 0 | 3 = 3 pounds
4 0
17
22
19.5
19
Answers
Answer:
C. 19.5
Step-by-step explanation:
I'm 99.9% sure this is correct!
STOMP IF I'M WRONG!
have a good day/night!
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 5kg weighs 25N . Find the weight of an object whose mass is 6kg
Answers
Hope this helps!!
Find x and y. pls help
Answers
Answer:
y = 21
x = 8
Step-by-step explanation:
AB = 180
27 + 3y = 90°
-27 -27
-----------------------
3y = 63
÷3 ÷3
--------------
y = 21
x + 27 + 3y + 8x + 18 = 180
9x + 45 + 3(21) = 180
9x + 45 + 63 = 180
9x + 108 = 180
-108 -108
-----------------------
9x = 72
÷9 ÷9
----------------
x = 8
I hope this helps!
X = 8
We can figure out Y by finding the right angle. A right angle is 90 degrees so we start out with:
90-27
Then,
63/3
21.
Do the same for X to get 8
Photos are attached, large amount of points reward, please answer correctly, will give brainliest!
Answers
The x-int = (24,0)
The y-int = (0,20)
The slope = -5/6
Here’s what the graph would look like
Samantha deconstructs a box to put it in the recycling bin. When the box is flattened, the shape is shown. What is the lateral surface area of the box.
Answers
Answer:
34
Step-by-step explanation:
10+5+2+2+10+5(all the boxes in the box) =34
Answer:
22ft
Step-by-step explanation:add all the ft together
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
When 25 is added to a number and that sum is doubled, the result is 64. What is the number?
Answers
Answer:
7
Step-by-step explanation:
To find the value, we will make an equation.
Let x = the value of the number
2(x + 25) = 64
First we distribute
2x + 50 = 64
Subtract 50 from both sides
2x = 14
Divide both sides by 2
x = 7
Pls help on 1 and 2. I have no idea what I'm supposed to do.
Answers
What is the distance between3,3 and 6,3
Answers
Answer:
They are three units apart.
Step-by-step explanation:
6-3=3
Answer:3
Mrs. Baxter needs to buy new headphones for all 559 students. If each headphone costs 15 dollars, how much will it cost Mrs. Baxter to buy all the headphones? (ik its easy i just cant get the right answer somehow)
Answers
Answer:
so this is a pretty simple question 559x15=x
Step-by-step explanation:
what we can do to make this equation more easy is do 559x10= 5590
and then just multiply 559x5=2795
2795+5590=8385
so in conclusion he needs $8385
Pls help me with these problems
Answers
Helppppp
what are the answers
Answers
Answer:
A. 24 lap/hour.
B. r = 24h
Help :l Thank you very very very much...
Answers
Answer:1152 ft^2
Step-by-step explanation:
Explanation…..
Seki, a professional bike racer, takes out a loan to buy her first high-end bike. The bike costs $seven thousand, five hundred, and the simple interest loan is for thirty months. She calculates that she will end up paying $seven hundred fifty in interest over the life of the loan.
.
What is the interest rate on Seki's loan?
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.
Interest Rate =
%
What is the total amount Seki will pay when the loan is due?
Balance = $
Answers
Answer: Seki's interest rate for the bike is 33.33% each year; Seki will owe $8250 at the end of the loan.
Step-by-step explanation:
To calculate the simple interest rate, the equation is: r = (1/t)(A/P - 1)
Where:
r - interest rate per year (in decimal format)
t -time (loan time in years)
A - total accrued amount (initial price paid + amount of interest paid)
P - principle (initial price paid)
For this scenario:
r = (1 / 30)(8250 / 7500 - 1)
- simplify both sets of parentheses: 1 / 30 and 8250 / 7500
r = (.033333)(1.1 - 1)
- simplify the second set of parentheses
r = (0.033333) x 0.1
- multiply
r = 0.0033333
- convert r (as a decimal) to R (as a percentage) by multiplying r x 100
R = .3333
The interest rate on Seki's loan is 33.33%
The total amount Seki will pay:
equation for total due: A = P + I
Where:
A - total accrued amount (initial price paid + amount of interest paid)
P - principle (initial price paid)
I - amount paid in interest that accrued over time
For this scenario:
A = 7500 + 750
A = 8250
Seki will pay $8250 when the loan is due.
Hope this helps
Select ALL the correct answers. Select the scenarios that correctly represent the given graph.
Answers
Answer:the sale of a product increases at first then decreases.
Step-by-step explanation:
Answer:
All of them but not the 3rd and last one !
( Can yall go help me with my question!!!! )
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
There are less than 200 apples in a box. It is known that 2,3,4,5, and 6 kids can share these apples evenly. How many apples can be in that box?
Answers
Answer:
60/120/180
Step-by-step explanation:
Either of these would work because it must be an even number divisible by 2.
It must end in a zero : divisible by 5 but even.
It must be a multiple of 30 as 3 only goes into 10s at 30. And that takes care of the 6 too.
But 4 doesn't go into 30, so 60?….
Yes, 60 is divisible between 2, 3, 4, 5 and 6
But the question does not limit your answer to one solution.
I hope this helps! :)