The amount of oxygen in the flask through the intake tube illustrates proportions
The flask 99.35% will contain of oxygen after 5L have passed through the intake tube
How to calculate the percentage of oxygen?
To do this, we make use of the following representations
P for the proportion of oxygenV for te volume of oxygenx for the proportion of oxygen in the flask after 5 L passed throughSo. we have the following derivative
dP = dV - P * dV
Divide through by dV
dP/dV = 1 - P
Next, we set up the integral
[tex]\int\limits^x_{0.040} \frac {1}{1 - P}dP= \int\limits^5_0 {dV}[/tex]
Integrate both sides
[tex]-\ln(|P - 1|)|\limits^x_{0.04} = 5[/tex]
Expand
-ln(|x - 1|) + ln(|0.04 - 1|) = 5
Evaluate the difference
-ln(|x - 1|) + ln(|-0.96|) = 5
Express as a fraction
ln(0.96/|x - 1|) = 5
Express both sides as exponents with a base of 2
e^ln(0.96/|x - 1|) = e^5
Solve for x
x = 1 - 0.96/e^5
Evaluate the difference
x = 0.9935
Express as percentage
x = 99.35%
Hence, the flask 99.35% will contain of oxygen after 5L have passed through the intake tube
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I need help with Biased vs Unbiased
Answer:
13 a) 12% prefer pumpkin pie
b) 6.4% prefer pumpkin pie
c) 80% did NOT prefer raspberry pie
d) 235 people would be expected to say that their favorite pie is apple
or blueberry.
14 a) 20% prefer Marlin
b) 12% prefer Dolphins
c) 48.33% prefer seahawks or sharks as their mascot.
d) 116 students would be expected to say that their favorite mascot is a
Penguin.
15 a) 20% prefer Science fiction
b) 46 people would be expected to report mystery as their favorite
genre.
c) 810 people would be expected to report drama, history, or romance
as their favorite genre.
Step-by-step explanation:
13. *There are a total of 125 participants or customers.*
35 people prefer apple pie15 people prefer pumpkin pie.8 people prefer pecan pie.28 people prefer cherry pie.25 people prefer raspberry pie.14 people prefer blueberry pie.a) 15/125 = 0.12 = 12%
12% prefer pumpkin pie
b) 8/125 = 0.064 = 6.4%
6.4% prefer pumpkin pie
c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.
100/125 = 0.8 = 80%
80% did NOT prefer raspberry pie
d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?
Apple: 35/125 = 0.28 = 28%
Blueberry: 14/125 = 0.112 = 11.2%
If there were 600 people:
Apple: 600*0.28 = 168
Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a
person, so it's rounded to 67)
168 + 67 = 235
235 people would be expected to say that their favorite pie is apple or blueberry.
14. *There are a total of 60 students.*
5 people prefer Penguins.12 people prefer Marlins.9 people prefer Seahawks.14 people prefer Dolphins.20 people prefer Sharks.a) 12/60 = 0.2 = 20%
20% prefer Marlin
b) 14/60 = 0.12 = 12%
12% prefer Dolphins
c) Seahawks: 9/60 = 0.15 = 15%
Sharks: 20/60 = 0.33 = 33.33%%
15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.
d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.
Penguins: 5/60 = 0.083 = 8.33%
If there were 1,400 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a
person, so it's rounded to 116)
116 students would be expected to say that their favorite mascot is a Penguin.
15. *There are a total of 75 people.*
8 people prefer Action.4 people prefer Comedy.16 people prefer Drama.7 people prefer Mystery.10 people prefer Romance6 people prefer Science fiction3 people prefer Biography12 people prefer History9 people prefer Othera) 6/75 = 0.2 = 20%
20% prefer Science fiction
b) Out of 500 people, how many would you expect to report mystery as their favorite genre?
Mystery: 7/75 = 0.093 = 9.3%
If there were 500 people:
Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a
person, so it's rounded to 46)
46 people would be expected to report mystery as their favorite genre.
c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?
Drama: 16/75 = 0.2133= 21.33%
History: 12/75 = 0.16 = 16%
Romance: 10/75 = 0.1333 = 13.33%
If there were 1,600 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a
person, so it's rounded to 116)
Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a
person, so it's rounded to 341)
History: 1,600*0.16 = 256
Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a
person, so it's rounded to 213)
341 + 256 + 213 = 810
810 people would be expected to report drama, history, or romance as their favorite genre.
Hope this helps!
Question 3 of 5 How many solutions does 6 + = -5 - Lo have? 31 10 ? O A. One solution O B. Infinitely many solutions O C. Two solutions O D. No solutions
Answer:
En la Imagen adjunta
Step-by-step explanation:
Toca Para Abrir Imagen
Espero haberte ayudado si es así dame Corona
Answer:
One Solution
Step-by-step explanation:
Given:
6 + x/5 = x/5 - 5 - 3x/10
To Find:
How many solutions?
Solve:
[tex]6+\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}[/tex]
[tex]\mathrm{Subtract\:}\frac{x}{5}\mathrm{\:from\:both\:sides}[/tex]
[tex]6+\frac{x}{5}-\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}-\frac{x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6=-5-\frac{3x}{10}[/tex]
[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}[/tex]
[tex]-5-\frac{3x}{10}+5=6+5[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{3x}{10}=11[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]10\left(-\frac{3x}{10}\right)=11\cdot \:10[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-3x=110[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3x}{-3}=\frac{110}{-3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-\frac{110}{3}\;or\;\left(\mathrm{In \;Decimal\;form}:\quad x=-36.66666\dots \right)[/tex]
~lenvy~
A cake for 6 people requires 4 eggs.How many eggs are needed to make a cake big enough for 9 people
Answer:
6
Step-by-step explanation:
Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9
(4÷6) x9
(1 point)
A hot air balloon is launched from the ocean beach. As it moves inland, it rises and then falls, having a path given by
p(x)= - 2x^2/2500 +0.7x where x is in metres. The land rises at a rate of 2 vertical metres for each 20 horizontal metres. See the
diagram
a. At what horizontal distance does the balloon reach maximum height above sea level?
b. What is the maximum height of the balloon above seal level?
c. What is the maximum height of the balloon above ground level?
m and
d. At what horizontal distance is the balloon 50 m above the ground? List the smaller value first.
The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion
The horizontal distance which it attains a maximum heightThe function is given as:
[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]
Differentiate
[tex]p'(x) =-\frac{4}{2500}x + 0.7[/tex]
Set to 0
[tex]-\frac{4}{2500}x + 0.7 = 0[/tex]
Subtract 0.7 from both sides
[tex]-\frac{4}{2500}x =- 0.7[/tex]
Multiply through by -2500/4
[tex]x =437.5[/tex]
Hence, the horizontal distance which a maximum height is attained is 437.5 meters
The maximum height above the sea levelIn (a), we have:
[tex]x =437.5[/tex]
Substitute [tex]x =437.5[/tex] in p(x)
[tex]p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5[/tex]
Evaluate
[tex]p(437.5) =153.125[/tex]
Hence, the maximum height above the sea level is 153.125 metres
The maximum height above the ground levelIn (b), the maximum height above the sea level is 153.125 metres
The ratio of the height on land and sea is given as:
Land : Sea = 2 m : 20 m
For the maximum height, we have:
Land : 153.125 m= 2 m : 20 m
Express as fraction
Land / 153.125 m = 2 /20
Multiply both sides by 153.125
Land = 15.3125
Approximate
Land = 15.3
Hence, the maximum height above the ground level is 15.3 meters
The horizontal distance where the balloon 50 m above the groundWe have:
[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]
Substitute 50 for P(x)
[tex]-\frac{2}{2500}x^2 + 0.7x = 50[/tex]
Using a graphing calculator, we have:
x = 78.465 and 796.535
Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters
Read more about projectile motion at:
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If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?
The value of x in the direct and indirect varoation is calculated as: x = 2.
What is Direct and Indirect Variation?If k is the constant of proportionality among two or more variables (x, y, z), a combined equation of direct and indirect variation is, z = kx/y, if z varies directly with x and indirectly with y.
With the information stated, we would have the following:
z = kx/y³
Find k, by plugging in the values of x, y, and z:
12 = k(8/2³)
12 = k(8/8)
12 = k
k = 12
Find x when y = 1 and z = 24:
24 = 12(x)/1³
24 = 12x
24/12 = x
x = 2.
Therefore, the value of x in the direct and indirect varoation is calculated as: x = 2.
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Palil used 6 pieces of ribbon that were each 9 inches long on a project.
How many inches of ribbon did he use?
Use the bar diagram to show how many inches of ribbon Palil used.
Drag the numbers to the bar diagram. Numbers may be used once, more than once, or not at all.
Answer:
54
Step-by-step explanation:
9x6=54
A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On average, how many seconds did the clock skip every 30 minutes?
3
4
5
6
The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds
What is the clock skip reading?We know that from time conversion;
1 day = 24 hours
1 hour = 60 minutes = 2 × (30 minutes)
1 day = 24 hours × 2 × (30 minutes)
1 day = 48 × (30 minutes)
Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.
Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;
Friday = 48 × (3/4) = 24
Saturday = 48
Sunday = 48
Monday = 48 × (3/4) = 36
Total times = 24 + 48 + 48 + 36 = 156
Thus, it means that there was 156 times of 30-minutes that have passed during the time period.
x = 468 seconds ÷ 156
x = 3 seconds
Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.
Read more about Least common multiple at; https://brainly.com/question/10749076
An exponential function has a growth factor or 3.76. What is the percentage growth rate?
The exponential function with a growth factor has a rate greater than 1
The percentage growth rate is 276%
How to determine the percentage growth rate?The growth factor (b) is given as:
b = 3.76
The growth factor (b) is greater than 1.
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 2.76
Express as percentage
r = 276%
Hence, the percentage growth rate is 276%
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The circumference of a circle is 62.8 centimeters. What is the circle's radius?
C=62.8 cm
Use 3.14 for .
centimeters
Hello!
To solve this exercise, we must use the formula below:
[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]
C = 62.8cmπ = 3.14r = ?Knowing these values, let's replace them in the formula to obtain r:
[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]
So, the radius of this circle is 10cm.
Hope this helps!
What is g(-2) for g(x) =1/2x^2+2x?
Does anyone know this
Step-by-step explanation:
please mark me as brainlest
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
180 cm ≈ _____ft ?
Answer:
that would be the circumference of the circle
= 2 pi r
= 2 * pi * 2
= 6.28 feet to 2 DP's.
Step-by-step explanation:
Answer:
6 ft
Step-by-step explanation:
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]
180 cm ≈ 6 ft
Hope this helps!
Based on a survey, assume that 35% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected,
delivery by drones. Identify the values of n, ×, p, and q.
Answer:
Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.
Step-by-step explanation: hopes this helps you!
Mario loaned Robert $390 at an interest rate of 18% for 229 days. How much will Robert pay Mario at the end of 229 days? Round your answer to the nearest cent.
Answer:
Amount Robert will pay back = $434.04
Step-by-step explanation:
Formula for interest is;
I = (P * R * T)/100
We are given;
P = $390
Rate = 18%
Time; T = 229 days = 229/365
Thus;
I = (390 * 18 * (229/365))/100
I = $44.04
Thus, total amount Mario will pay back = $390 + $44.04 = $434.04
The population of birds on an island is estimated to increase by 10% every year.The population of birds on the island is 20000.
Calculate an estimate for the population of birds in three years time.
Pls give working out & Explanation
And also can anyone tell me how to answer someone question in Brainly. I am new here
Answer:
26,620
Step-by-step explanation:
1 year: 20,000 x 0.10 = 2000
2 years: 22,000 x 0.10 = 2200
3 years: 24200 x 0.10 = 2420
2420 + 24200 = 26620
Have an amazing day!!
Please rate and mark brainliest!!!!
Theres a button on the question taht you are wanting to answer. Sometimes it will allow one other times it is 2
axis of symmetry f(x) = −4(x − 8)^ 2 + 3
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]
Algebra 2 work, I need help !
(picture below)
HEY if you remove it you will get a curse
Brian Orcard supplies apple to markets in Albany. The apple can be packed into a large bag that holds 9 apples or a small bag that holds 6 apples.
A market orderd 140 apples packed in small bags. How many small bags can be filled? Divide using a eectangle area modle and show the remainder.
The orchard needa to fill an order for 156 apples using both large and small bags. What is the least number of each type of baf that could be used if wach bag is completely filled?
Answer:
10 large bags and 11 small bags because 10*9=90 and 156-90=66 and 6*11=66 so 90+66=156
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
EZ
Help me please anybody. And I am in my school iPad
Answer:
(0,5)
Step-by-step explanation:
I'm really not sure but I'm pretty positive that this is the answer if not than my bad
Solve each of the following equations. Show its solution set on a number line. Check your answers. 3(x-2)=12
PLS HELP WILL GIVE BRAINLIEST
x = 6
Step-by-step explanation:
[tex]\sf3(x - 2) = 12 \\ \sf3x - 6 = 12 \\\sf3x = 12 + 6 \\ \sf3x = 18 \\ \sf \: x = \frac{18}{3} \\ \sf \: x = 6[/tex]
Answer: (negative solution): x=-2, (positive solution): x=6
What is the outlier for the data set? PLS HELP I REALLY NEED HELP :(
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90
Answer:
6 3 5 6 8 8
Step-by-step explanation:
number is farthest apart from others
Answer:
The correct answer is 90
Step-by-step explanation:
90 is the biggest number in the number set so therefore it is an outlier.
Have an amazing day!!
Please rate and mark brainliest!!
What fraction is equivalent to six tenths and has a denominator of 100?
Answer:
3/5
Step-by-step explanation:
3/5=6/10
3/5=60/100
Juan and Matthew each have gardens. Juan's garden is 16 feet long and 12 feet wide. Matthew's garden is 18 feet long and 21 feet wide. Area is found by multiplying length and width. What is the total area of the two gardens?
Answer:
570 ft²
Step-by-step explanation:
Basically, you find the area of Juan and Matthew's gardens then add them up.
First let's find the area of Juan's garden.
Area is equal to length times width ([tex]a = lw[/tex])
So you do 16 * 12 which equals 192.
Now let's find the area of Matthew's garden.
So you do 18 * 21 which equals 378.
Then you add up both areas.
192 + 378 = 570
Which list of numbers could be used to name each point plotted on the number line?
A nuimber line goes from 3.45 to 3.6 in increments of 0.01. Blanks are located as follows: above the first tick mark after 3.45, above the second tick mark after 3.45, above the third tick mark after 3.5, and above the first tick mark after 3.55.
Answer:
Step-by-step explanation:
numbers are {3.46,3.47,3.48,3.49,3.50,3.51,3.52,3.53,3.54,3.55,3.56,3.57,3.58,3.59}
Translate this phrase into an algebraic expression. 73 less than twice Jose's height Use the variable to represent Jose's height.
Answer:
x-73
Step-by-step explanation:
Let x=Jose's height. If it says "less than," then that is subtraction. Since Jose's height is not defined, there is no specific number that can be used to describe "73 less than twice Jose's height," so I use the variable x, and then subtract 73.
5.Find the area of the parallelogram. *
10 m
16 m
8 m
16 m
10 m
Answer:
128 because formula is bh
Step-by-step explanation:
You need 3 sticks of butter for every 24 giant cookies you bake.
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
Given that :You need 3 sticks of butter for every 24 giant cookies you bake.
----------------------------------------------------------------------------------------------------------
Sticks of butter Number of cookies
3 24
x 16
5 y
----------------------------------------------------------------------------------------------------------
Let the unknown be x and y..
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 24/3 = 8
Since the number of cookies is 16 then 16/8 = 2
Thus x = 2
Next for y.
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 5 * 8 = 40
Thus, y = 40
----------------------------------------------------------------------------------------------------------
Completed table below:
Sticks of butter Number of cookies
3 24
2 16
5 40
----------------------------------------------------------------------------------------------------------
~lenvy~
Answer:
See below ↓
Step-by-step explanation:
Given
You need 3 sticks of butter for every 24 cookiesBase rate
no. of butter sticks / no. of cookies3 / 241 stick of butter for every 8 cookies16 cookies
No. of sticks = 16/8No. of butter sticks = 25 butter sticks
No. of cookies = 8 x 5No. of cookies = 40-(4-x)=3/4(x-6) i need help pls
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=−2
hope this is what your looking for
Answer:
x = -2
Step-by-step explanation:
[tex]-4+x=\frac{3}{4}x-\frac{9}{2}[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]-4+x+4=\frac{3}{4}x-\frac{9}{2}+4[/tex]
[tex]Simplify[/tex]
[tex]x=-\frac{1}{2}+\frac{3}{4}x[/tex]
[tex]\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}[/tex]
[tex]x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x[/tex]
[tex]\frac{1}{4}x=-\frac{1}{2}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)[/tex]
[tex]x=-2[/tex]
~lenvy~
Arrange the following from greatest to least value, 20% of 100, 20% of 500, 5% of 100 justify your reasoning
Answer:
20% of 500, 20% of 100, 5% of 100
Step-by-step explanation:
20% of 100 = 20
20% of 500 = 100
5% of 100 = 5
Find the rule from the given table
A.Divide by 2
B.Divide by 3
C.Divide by 5
D.Divide by 6
Answer:
the answer b
Step-by-step explanation:
te answer b because I guessed
Harry is scuba diving off the coast of Australia. When he is ready to come back to the surface, he rises 12 meters at a safe speed. He climbs 15 centimeters every second. How many seconds will it take him to reach the surface?