A rectangular tank measuring 27.0 cm times 7.0 cm times 11.25 cm contains a gas sample that has a density of 0.020 g/ml what is the mass of the gas contained in the tank
Answers
The mass of gas contained in the tank is 42.525 g. It is calculated using the concept of density and volume of a substance.
What is density?
Density is generally defined as the mass per unit volume. Its representation is done using the symbol p. SI unit of density is kg / (m)3.
Calculation of the total mass of gas contained in the rectangular tank
Given:
Length of the rectangular tank, l = 27 cm
Breadth of the rectangular tank, b = 7 cm
Height of rectangular tank, h = 11.25 cm
Volume of rectangular tank = l × b × h
= 27 × 7 × 11.25
= 2,126.25 cubic cm
Density = 0.020 g/ml (1 ml = 1 cubic cm)
Mass / Volume = 0.020
Mass = 0.020 × 2,126.25
= 42.525 g
Hence, the mass of gas contained in the tank is 42.525 g.
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Related Questions
Noah spent $66 for 20 gallons of gasoline.Lydia spent 81.25 for 25 gallons of gasoline which person got the better buy?
Answers
Answer:
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $3.25 for 1 gallon of gasoline.
Step-by-step explanation:
To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.
Noah spent $66 for 20 gallons of gasoline.
Amount spent $66, 20 gallons. So
66/20 = $3.3
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $81.25 for 25 gallons of gasoline.
Amount spent $81.25, 25 gallons. So
81.25/25 = $3.25
Lydia spent $3.25 for 1 gallon of gasoline.
the radius of the circle traced out by the second hand on a clock is 6.00 cm. in a time t the tip of the second hand moves through an arc length of 24.0 cm. determine the value of t in seconds.
Answers
The total time would be 38,3 seconds moves of arc length of 24.0 cm
What is circumference ?The measurement of a circle's boundaries is also known as the circumference or the perimeter of the circle. whereas the circumference of a circle shows the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units such as cm or m are used to measure it.
First we convert cm to meters.
6.00cm= 0.006m
24.0cm= 0.024m
Circumference
2πr = 2(π)(0.006)= 0.0376
The second hand taking 60 sec for one rev, so:
60*0.024/ 0.0376 = 38.3 seconds.
Hence we get the time as 38.3 seconds
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How long does it take to travel 100km at a speed of 80 km/h?
Answers
You can kind of tell that, because the units of speed is km/h ( or m/s, or miles/hour — depending on the situation).
Now if you apply your algebra skills, you might discover that
time = distance/speed
Plug in the data:
time = 100 km / (80 km/h)
After application of algebra skills again you can see that the units will simplify to simply h.
time = 1.25 h
A distributor receives a large shipment of components. The distributor would like to accept the shipment if 10% or fewer of the components are defective and to return it if more than 10% of the components are defective. She decides to sample 10 components, and to return the shipment if more than 1 of the 10 is defective. a. If the proportion of defectives in the batch is in fact 10%, what is the probability that she will return the shipment
Answers
Let p be the proportion of defectives in the shipment. Since p = 0.10 and we have a sample of n = 10 components drawn from the shipment, then from the binomial distribution we get:
Let p be the proportion of defectives in the shipment.
Thus, the probability that the distributor will return the shipment if the proportion of defectives in the batch is in fact 10% is 0.2639.
Summary:In summary, we are given that the proportion of defectives in the shipment is 10% and we are asked to find the probability that the distributor will return the shipment if 10 components are sampled and more than 1 of the 10 is defective. We can calculate this probability using the binomial distribution, which yields a probability of 0.2639.
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The position of a swimmer below sea level is represented by –5 meters. The diver descends an additional 3 meters below sea level. Which expression describes the new position of the diver? Negative 5 + (negative 3) Negative 5 + 3 5 + (negative 3) 5 + 3 Mark
Answers
Answer:
The answer is -5 + (-3).
Step-by-step explanation:
Answer:
-5 is the original position
The swimmer descends 3 meters, so we subtract 3 or add -3. Thus, the answer is:
-5 + (-3)
The cost of 3/4 litre of milk is ₹ 21. Find the cost of 1 litre of milk.
Answers
Answer:
28
Step-by-step explanation:
21 is the price of 3/4
21 : 3 * 4 =
28₹
PLS HELP THIS IS HARD
Given the graph of the domain (triangle ABC ) and range (triangle A’B’C’), identify the correct coordinate transformation.
A. (, ) = (x+2, y+2)
B. (, ) = (x-2, y+2)
C. (, ) = (3x, 3y)
D.(, ) = (x+1, y+2)
Answers
Answer:
The correct coordinate transformation would be
A. (x+2, y+2)
Hope this helps!!
Determine the angle of rotation
Answers
Answer: b
Step-by-step explanation:
:)
What is the probability of rolling a 3? ASAP!!!!
Answers
Answer:
im sure its \(\frac{1}{6}\)
Step-by-step explanation:
hope it helps and Merry Christmas xx
Answer:
\(\frac{1}{6}\)
Step-by-step explanation:
Proabability = favorable outcomes / total outcomes
A die has a total of 6 possible outcomes: 1 to 6
You want to roll a 3, so the number of favourable outcomes is 1.
\(\therefore\) P(3) = \(\frac{1}{6}\)
Hope this helps :)
Simplify the following Ratios
A) 6:15
B) 25:50
please help! Grade 8, Unit: Ratio.
Answers
B) 1:25
Try to think of them as fractions. It helps when trying to simplify them. For A, divide both by 3. For B, divide them by 25. hope this helps :)
Find the domain and range of the function represented by the graph.
Answers
Domain: .5 < x < 1.5
Range: .25 < x < 1.5
a certain discrete mathematics class consists of 26 26 students. of these, 15 15 plan to major in mathematics and 15 15 plan to major in computer science. five students are not planning to major in either subject. how many students are planning to major in both subjects? (be prepared to explain your reasoning with some sort of diagram.)
Answers
A certain discrete mathematics class consists of 26 26 students. of these, 15 15 plan to major in mathematics and 15 15 plan to major in computer science. five students are not planning to major in either subject. 5 students are planning to major in both subjects.
Let M be the set of students planning to major in mathematics.
C be the set of students planning to major in computer science.
N be the set of students who are not planning to major in either subject.
From the question statement,
Total number of students in the class = 26
The number of students planning to major in mathematics = 15
The number of students planning to major in computer science = 15
The number of students who are not planning to major in either subject = 5
Here we have to find the,
Number of students planning to major in both subjects.
Total number of students in the class = Number of students in the set M + Number of students in the set C + Number of students in the set N
The total area enclosed by the circles represents the total population being considered.
The area enclosed by each circle represents the number of people who belong to that set only. The area enclosed by the intersection of the circles represents the number of people who belong to both sets.
Number of students in M only = 10
Number of students in C only = 10
Number of students in N only = 5
Total number of students in the class = 26.
We can summarize our findings in a table as shown below:
Set Notation Number of students M 15 C 15 N 5 M ∩ C x M' ∩ C' ∩ N 0 Total 26
The total number of students in the class = 26
Therefore, the number of students in M ∩ C is 5.
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1.235 X 10
HELP PLEASE
Answers
Answer:
12.35
Step-by-step explanation:
Answer:
12.35
Step-by-step explanation:
e total weight of two garden statues was 714 pounds. If one statue weighed 342 pounds, how heavy was the other one?
Answers
Answer:
372
Step-by-step explanation:
Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:
714 - 342 = 372
A group of people were asked if they had run a red light in the last year. 232 responded "yes", and108 responded "no"Find the probability that if a person is chosen at random, they have run a red light in the last year,
Answers
The number of people who said yes: 232
The number of people who said no: 108
So the probability that if a person is chosen at random, then they have run a red light is,
\(undefined\)How do you convert gallons to liters formula?
Answers
You may use the following formula to convert gallons to litres:
litres = gallons multiplied by 3.78541
Gallons and litres are both volume measures used to quantify the quantity of liquid in a container. Gallons are a volume unit commonly used in the United States and a few other nations, but litres are used in the majority of the rest of the globe.
A conversion factor is required to convert between these two volume units. A conversion factor is a ratio that connects two different measuring units. The conversion factor in this example is 3.78541 litres per gallon, which indicates that one gallon equals 3.78541 litres.
We increase the quantity of gallons by the conversion ratio of 3.78541 to convert gallons to litres. This yields the number of litres equal to the original volume in gallons.
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Original price $3:29;markdown 35%
What the value please help me
Answers
Answer:
2.94
Step-by-step explanation:
3.29 - 35/100 = 2.94
What is the median of 5, 12, 13, 19, 24?
14.6
13
05
O 12
Answers
Answer:
12
because it's in the middle sorry just a guess but I'm pretty sure it's 12 or 14.6
Answer:
13
Step-by-step explanation:
It is 13 because it is in the middle of all of the numbers (when the numbers are in order)
for a randomly selected policy, what is the probability that the wife will have between $50,000 and $100,000 of insurance and the husband will have between $0 and $50,000 of insurance? round your answer to three decimal places, if necessary.
Answers
0.833
The probability that the wife will have between $50,000 and $100,000 of insurance and the husband will have between $0 and $50,000 of insurance for a randomly selected policy is 0.833.
This answer is rounded to three decimal places if necessary.
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The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answers
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).
Larsen ran his first 5K race in 12 2/3 minutes. His friend Sara ran it in 9 1/2
minutes. How long did it take them altogether?
Answers
And please write in word form please
Answers
Answer:
five and forty five thousandths
Step-by-step explanation:
A and will purpose as a decimal point
irst consider a public good of value to Ann and Bob with the property that the value of the good can be expressed in monetary terms. In this case, the Samuelson condition states that the efficient level of the good is determined by MV +MVP where p is the per A B unit price of the good, and, for example, MV is Ann's marginal value of the good. Now consider a public good of value to Ann and Bob, the value of which CANNOT be expressed in monetary terms. In this case A O a. The Samuleson condition continues to work as in the case where values CAN be expressed in monetary terms. O b. We need more information before we can know how to modify the Samuelson condition. O c. The Samuelson condition is of no use because we cannot compare Ann's utility to Bob's. O d. The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
Answers
The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.
Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.
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Which value is in the domain of f(x)?
f(x) =
2x + 5, -6
- 2x + 3, 0<4
o -7
-6
4.
5
Answers
Answer:
The answer is "4"
Step-by-step explanation:
Given:
\({F(x)= \left \{ {{2x+5\ \ \ \ -6 < x \leq 0} \atop {-2x+3 \ \ \ 0<x\leq4} \right.}\)
The domain was its input (or x values) of its function.
It begins at -6 (and doesn't include) or ends on +4 (it was included)
The final answer is "4", and value is "\(-2x+3 \ \ \ 0<x\leq4\)".
can someone help me pls
Answers
Answer:
y=1 +4.75
Step-by-step explanation:
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table:
Enrollment Month
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90 −50 −100 −100 150 −50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. (1 point)
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Answers
The correct option regarding the linear regression equation is:
No, the equation is not a good fit because the sum of the residuals is a large number.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In possession of the equation, the residuals are given by the difference of the predicted values(with the equation) and the actual values.
The model represents a good fit if the sum of the residuals is close to 0.
For this problem, the sum of the residuals is given by:
90 - 50 - 100 - 100 + 150 - 50 = -60.
The sum is a large number, hence the model is not a good fit.
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work out value please
Answers
Answer:
270
Step-by-step explanation:
(∛9)³ × (√30)²
9 × 30 = 270
I hope this helps!
Answer:
Answer:
270
Step-by-step explanation:
(∛9)³ × (√30)²
9 × 30 = 270
Step-by-step explanation:
Select the correct answer from each drop-down menu. Simplify. the square root of 64. I don't understand square root so if anyone could tell me how to do square root that would help.
Answers
Hey there! I'm happy to help!
Squaring a number is when you multiply it by itself. You represent this with an exponent, which is a little number above the number that you multiply by itself. When you square a number, this exponent is two.
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
The square root is basically just doing this backwards. It is finding the number that can be multiplied by itself to equal that number. You represent this with the √ symbol.
√1=1
√4=2
√9=3
√16=4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
We know that 8 multiplied by itself is equal to 64. This means that the square root of 64 is 8.
I hope that this helps you out! Have a wonderful day! :D
Please help! Help is greatly appreciated. I'm learning the trigonometry unit in my Geometry.
Answers
Answer:
25.1 degrees
Step-by-step explanation:
So, we’re trying to solve for angle x, and we’ve been given the opposite and the hypotenuse. Recalling SohCahToa, we can figure out that the best trigonometric function for this problem would be sine, as sine is the Opposite/Hypotenuse.
sin(x) = O/H
sin(x) = 4.2/9.9
sin(x) = 0.4242424242…
Next, we need to isolate x. In order to do that, we need the inverse of sin, which is sometimes known as arcsine.
arcsin(sin(x)) = arcsin(0.424242…)
^This part simplifies to just x:
x = arcsin(0.424242…)
Using a calculator, this is found to be 25.1 when rounded to the nearest tenth. Therefore, the answer is x = 25.1 degrees.
Hope this helps!
Find the values of x and y in the diagram below.
86°
(4x - 7)°
(7y - 1)
(9x + 4)
Answers
The value of x in the diagram is 15° and the value of y is 6°
Please find attached the diagram used in answering this question
The figure given is a triangle. A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees
The first step is to determine the value of x.
The value of x can be determined using the exterior angle.
The sum of the two interior opposite angles in a triangle is equal to the external angle
(4x - 7)° + 86° = (9x + 4)°
Combine similar terms
9x - 4x = 86 - 7 - 4
5x = 75
x = 15°
To determine the value of y, first substitute for the value of x in the angle (4x - 7)°
(4x - 7)° = (4x15) - 7 = 53°
The sum of angles in a triangle add up to 180°
53° + 86 + (7y - 1) = 180°
add like terms
138 + 7y = 180
7y = 42
y = 6°
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