starting with boyle’s law (stated as an equation), obtain an equation for the final volume of a gas from its initial volume when the pressure is changed at constant temperature. from boyle's law,
Answers
The initial pressure is increased, the final volume will decrease, and if the initial pressure is decreased, the final volume will increase, assuming that the temperature remains constant.
How we obtain equation for final volume of gas by the help of Boyle's law?Boyle's law states that at constant temperature, the pressure and volume of a gas are inversely proportional to each other. Mathematically, this can be expressed as:
P1V1 = P2V2Where P1 and V1 are the initial pressure and volume of the gas, and P2 and V2 are the final pressure and volume of the gas, respectively.
To obtain an equation for the final volume of a gas from its initial volume when the pressure is changed at constant temperature, we can rearrange Boyle's law equation as follows:
V2 = (P1/P2) × V1In this equation, we have isolated V2 on one side of the equation by dividing both sides by P2, which gives us the ratio of the initial pressure to the final pressure (P1/P2), and then multiplying it by the initial volume (V1).
So, the final equation for the final volume of a gas from its initial volume when the pressure is changed at constant temperature is:
V2 = (P1/P2) × V1The first step is simply to rearrange Boyle's law equation, and the second step is to explain the resulting equation. The equation shows that the final volume of a gas (V2) is proportional to the initial volume of the gas (V1) and the ratio of the initial pressure (P1) to the final pressure (P2).
Learn more about Boyle's law
brainly.com/question/30367067
#SPJ11
Related Questions
Express your answer in scientific notation\(0.00045 - 2.5 \times 10 {}^{ - 5} \)
Answers
The given expression is
\(0.00045-2.5\times10^{-5}\)First, we express the first number in scientific notation. We have to make sure that both scientific notations have the same exponent.
\(45\times10^{-5}-2.5\times10^{-5}\)Then, we subtract the coefficients.
\((45-2.5)\times10^{-5}=42.5\times10^{-5}=4.25\times10^{-4}\)Therefore, the answer is\(4.25\times10^{-4}\)The volumes of two similar solids are 857.5 mm^3 and 540 mm^3. The surface area of the smaller solid is 108 mm^2. What is the surface area of the larger solid?
*
147 mm^2
68 mm^2
16 mm^2
216 mm^2
Answers
Answer:
147 mm^2
Step-by-step explanation: The surface area has to be more, but not double the smaller figures surface area therefore the answer is 147 mm^2
The requried surface area of the larger solid is approximately 147 mm². Option A is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Let's call the larger solid's surface area S.
Since the two solids are similar, their volumes have a ratio of (side length)³. Let's call the ratio of the side lengths of the larger to the smaller solid as k. Then:
\((k^3)(540 mm^3) = 857.5 mm^3\)
Simplifying the above equation, we get:
\(k = (857.5/540)^{(1/3)}\) =7/6
So, the larger solid is about 7/6=1.183 times bigger than the smaller solid in terms of side length. Since the surface area has a ratio of \((side length)^2\), we can find the surface area of the larger solid by:
\(S = (1.183^2)(108 mm^2) \approx 147 mm^2\)
Therefore, the surface area of the larger solid is approximately 147 mm². Answer: A.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ2
i need help find AC please
Answers
Answer:
isnt it in your room
Step-by-step explanation:
What is 35% of 60? just had to be 20 words
Answers
Answer:
35% of 60 = 21
the answer is 21
this is how you set it up
x/60=35/100
you first multiply 35 and 60 and your answer should be 2100 then you divide 2100 by 100 and that equals 21
i hope this helped i learned about this a month ago
Someone please help me with this math problem? !!
Answers
Answer:
x = -1
Step-by-step explanation:
If you input -1 to both functions, you get 3.
What is the answer please
Answers
Answer:
A. 39°
Step-by-step explanation:
Adjacent angles on a straight line is equal to 180°
Vertical opposite angles are equal to each other
90° + 51° + x = 180°
141° + x° = 180°
x° = 180° - 141°
x° = 39°
sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and dependent variables
Answers
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.
(1 point) parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10). r⃗ (s,t)=
Answers
The parameterized plane that contains the three points is r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).
To parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10), we can use a vector equation.
We can choose any of the given points as r. Let's choose (1,−2,−5) as our r
r = (1,−2,−5).
To find v, we need to subtract r from any two points on the plane. Let's choose (−10,−6,−12) and (15,20,10) as our points.
⃗v = (−10,−6,−12) - (1,−2,−5) = (−11,−4,−7).
Similarly, we can subtract r from another pair of points. Let's choose (−10,−6,−12) and (15,20,10) again.
⃗w = (15,20,10) - (1,−2,−5) = (14,22,15).
Now we have all the necessary components to parameterize the plane.
r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).
To know more about parameterize here
https://brainly.com/question/14762616
#SPJ4
10) Your brother is 2 years older than you. Your mom is 3 years older than double your age. If you
combine all three of your ages, it adds to 73. How old are you guys?
Answers
Answer: Your 17, your brother is 19, and your mom is 37.
Step-by-step explanation:
17+2=19
17x2=34
34+3=37
17+19+37=73
Ruben thinks of a whole number.
When he divides his number by 4, the result has 1 decimal place and is
greater than 6 but less than 7.
What is ruben’s original number
Answers
6.5 x 4 = 26
Misty Gonzalez receives her paycheck weekly. She earns a
straight commission of 4% on sales of $5,000 or less and 5% on sales in
excess of $5,000. One week Misty had a gross pay of $462. What was that
week's total sales amount?
Answers
=4/100 x 462
=462 x 4 = 1848
=1848/100 = 18.48
Ans:- $18.48
Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?
Answers
Answer:
33 years and 4 months.
Step-by-step explanation:
Assuming it is a flat rate
3000 x 0.09 = $270 per year
12000-3000=9000
9000/270 = 33 years, 4 months
If x and y vary directly and y is 44 when x is 11, find y when x is 9.
Answers
The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, x and y vary directly and y is 44 when x is 11.
Let, y ∝ x.
y = kx.
44 = 11k.
k = 44/11.
k = 4.
Now x = 9.
y = 4×9.
y = 36.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ1
A shipping container is in the shape of a right rectangular prism with a length of 10
feet, a width of 14 feet, and a height of 2 feet. The container is completely filled with
contents that weigh, on average, 0.8 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?
Answers
Answer:
224 lbs
Step-by-step explanation:
V = xyz = 10(14)(2) = 280 ft³
280(0.8) = 224
Solve 2v² + 4y = 6 by factoring.
The solutions are v =
and v=
Answers
On factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3.
What is factorization by splitting middle term?
The method of Splitting the Middle Term by factorization is where you divide the middle term into two factors. We know that composite numbers can be expressed as the product of prime numbers.
Rule to factorize trinomial expression where coefficients are real numbers, is to split b (the coefficient of x) into two real numbers such that the algebraic sum of these two numbers is b and their product is c, then factorize by grouping method.
According to the given question:
Factorizing 2v² + 4v = 6 by Splitting the Middle Term method
2v² + 4v = 6
2v² + 4v - 6 = 0
2v² + 6v - 2v - 6 = 0
2v(v+3) - 2(v+3) = 0
(2v-2)(v+3) = 0
Therefore the solutions are
2v - 2 = 0 v +3 = 0
v = 1 v = -3
Hence on factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3
To know more about factorization visit
https://brainly.com/question/20293447
#SPJ1
For the series given below, find the sequence of partial sums S₁, S2, S3, and S4. Give your answers in reduced fraction form. (8 points) 1 n=1n+1 Use the integral test to determine if the series converges or diverges. You must first show that the integral text can be applied to this series. 1 Σ₁²+ n² +1 n = 1 Problems 8. 9. and 10
Answers
The sequence of partial sums for the given series Σ(1/(n² + 1)), starting from n = 1, are as follows:
S₁ = 1/(1² + 1) = 1/2
S₂ = 1/(1² + 1) + 1/(2² + 1) = 1/2 + 1/5
S₃ = 1/(1² + 1) + 1/(2² + 1) + 1/(3² + 1) = 1/2 + 1/5 + 1/10
S₄ = 1/(1² + 1) + 1/(2² + 1) + 1/(3² + 1) + 1/(4² + 1) = 1/2 + 1/5 + 1/10 + 1/17
Now, let's analyze the convergence or divergence of the series using the integral test. The integral test states that if a series Σaₙ is given and the function f(x) = aₓ is positive, continuous, and decreasing for x ≥ 1, then the series Σaₙ converges if and only if the integral ∫f(x)dx from 1 to ∞ converges.
In this case, the function f(n) = 1/(n² + 1) is positive, continuous, and decreasing for n ≥ 1. Therefore, we can apply the integral test to determine convergence or divergence.
To integrate f(n), we use a substitution. Let u = n² + 1, then du = 2n dn. Rewriting the integral in terms of u, we have ∫(1/u) du/2n.
Integrating, we get (1/2)ln(u) + C. Substituting back u = n² + 1, we have (1/2)ln(n² + 1) + C.
Now, we evaluate the integral from 1 to ∞: ∫[1/(n² + 1)] dn from 1 to ∞.
Taking the limit as b approaches ∞ and subtracting the limit as a approaches 1, we have lim as b approaches ∞ [(1/2)ln(b² + 1)] - [(1/2)ln(1² + 1)].
Simplifying further, we get lim as b approaches ∞ [(1/2)ln(b² + 1)] - (1/2)ln(2) = (1/2)[ln(b² + 1) - ln(2)].
As b approaches ∞, ln(b² + 1) also approaches ∞, so the overall limit is positive infinity.
Since the integral from 1 to ∞ diverges, by the integral test, the series Σ(1/(n² + 1)) also diverges.
In conclusion, the series Σ(1/(n² + 1)) diverges.
Learn more about sequence here:
https://brainly.com/question/30262438
#SPJ11
pls need help very urgent pls fast no fake answer full explanation pls pls
Answers
prime factors of 900 =2 to power 2 ×3 to power 2 × 5 to power 2
: 2 x 375 = 750.
Answer:
6.75 x 10^5
Step-by-step explanation:
find the slope of the line (7, 5) and (3, -4) on it.
Answers
Answer:
9/4
Step-by-step explanation:
Hope this helps
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
Answer:
Step-by-step explanation:
(2,2) ; (0,-3)
Rise = -3 -2 = -5
Run = 0 - 2 = -2
Slope =rise /run = -5/-2 = 5/2
The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?
Answers
Answer: 0.75
Step-by-step explanation: just had the question on usa tp
pls pls help with this. extra points. why would i use factoring to solve this quadratic equation?
Answers
Answer: x =
-1/6 -2
explanation:
I looked it up on Math
way
Answer: x=-2 x=-1/6
Step-by-step explanation: you can use factoring to solve this becuase it is factorable to real numbers. You would want to use quadratic formula is there is an imaginary number or square roots.
(6x+1)(x+2)=0
set them both equal to zero and solve, foil your answer
Find the solution of the system of equations.
-5x – 3y = 0
–5x + 2y = -25
Answers
The solution is (3,-5)
Bo's family and Lana's family each ate some pizza for dinner.Which statement correctly compares the fractions of each pizza that were eaten?
Answers
The question is incomplete
Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings How many paintings will Sergio have in his art collection after his donation?
Answers
Step-by-step explanation:
The question is a bit confusing, so I am going to reword it to what I assume it means, which is, “Sergio initially has “p” paintings. There are 12 art collectors total, including Sergio. All the art collectors together donate a total of 48 paintings, and each art collector donates the same number of paintings. How many paintings does Sergio have left?”
p = number of Sergio’s paintings at the start.
p-X = the number of Sergio’s paintings at the end.
48 = the total number of paintings donated by all art collectors
12 = number of art collectors
48/12 = 4 = the number of paintings that each art collector donated
4 = X = the number of paintings that Sergio donated
p-4 = the number of paintings Sergio has left (answer)
(My regrets if my understanding of the question was something other than the above.)
Find f(-2) for f(x) = 2•3^x
Answers
Answer:2/9
Step-by-step explanation:
Please answer fast, it's important... Q) find the volume of cube whose dimensions are (x+7y), (7x-y) and (xy-5).
Answers
Answer:
\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)
Step-by-step explanation:
Given
Shape: Cube
Dimension: (x+7y), (7x-y) and (xy-5).
Required
Determine the volume
The volume is calculated by multiplying the dimensions:
\(Volume = (x+7y) * (7x-y) * (xy-5)\)
Evaluate the first 2 brackets
\(Volume = [x(7x-y)+7y(7x-y)] * (xy-5)\)
\(Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)\)
\(Volume = [7x^2-xy+49xy-7y^2] * (xy-5)\)
\(Volume = [7x^2+48xy-7y^2] * (xy-5)\)
Open brackets
\(Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2]\)
\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)
a city has a population of people. suppose that each year the population grows by . what will the population be after years? use the calculator provided and round your answer to the nearest whole number.
Answers
After six years, the population will grow to 586,455 if compounded annually at a rate of 7.5%.
This is exactly like a compound interest problem where the interest rate is 7.5% compounded annually for 6 years.
If we use the compound interest formula A = P(1+r/n)nt where A is the end amount to be found, p = initial amount (p= 380,000), n = number of times the interest is compounded annually (n= 1) and t is the time in years (t=6)
A = 380,000(1 + .075/1)1(6)
A = 380,000(1.075)6
A = 586,454.58 people
Rounded to the nearest whole number
the population after 6 years should be
586,455 people
Hence we get the required answer.
Learn more about Compound interest here:
brainly.com/question/24274034
#SPJ4
Your question is incomplete. Please find the missing content below.
A city has a population of 380,000 people. suppost that each year the population grows by 7.5%. what will be the population after 6 years.
A package of 8 hot dogs is on sale for $4. 0. What is the price per hot dog? $0. 32 $0. 50 $2. 00 $5. 0
Answers
Answer:
$0.50
Step-by-step explanation:
We know
A package of 8 hot dogs is on sale for $4
What is the price per hot dog?
4 / 8 = $0.50
So, the price per hot dog is $0.50
Square root of 5^7 divided by square root of 5^5 is equal to 5^x find x
Answers
The given expression is: √(5⁷) ÷ √(5⁵) = 5ˣ. To simplify this, we can use the property of exponents that states:
\(√(a^m) = a^(m/2)\)
Using this property, we can rewrite the expression as:
\((5^(7/2)) ÷ (5^(5/2)) = 5^x\)
To divide two terms with the same base, we subtract their exponents. Therefore, we have:
\(5^(7/2 - 5/2) = 5^x\)
Simplifying further:
\(5^(2/2) = 5^x\)
Since any number raised to the power of 1 is equal to the number itself, we have:
5 = 5ˣ
We can conclude that x is equal to 1, as 5 raised to the power of 1 is equal to 5.
x = 1
The expression √(5⁷) ÷ √(5⁵) can be simplified by using the property of exponents that states \(√(a^m) = a^(m/2)\).
Applying this property, we rewrite the expression as
\((5^(7/2)) ÷ (5^(5/2)) = 5^x\).
To divide two terms with the same base, we subtract their exponents. Thus, we have \(5^(7/2 - 5/2) = 5^x\).
Simplifying further, we get \(5^(2/2) = 5^x\).
Since any number raised to the power of 1 is equal to the number itself, we can conclude that x is equal to 1, as 5 raised to the power of 1 is equal to 5.
The value of x in the expression \(√(5^7) ÷ √(5^5) = 5^x\) is 1.
To know more about exponents visit:
brainly.com/question/30944810
#SPJ11
Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take?
a.)6 hours
b.)3 hours
c.)8 hours
Answers
Answer:
6 hrs.
Step-by-step explanation:
train time = plane time
x/55 = (1020-x)/285
Cross-multiply to get:
285x = 55(1020-x)
285x = 55*1020 - 55x
340x = 55*1020
x = 165 miles
----
train time = 165/55 = 3 hrs
plane time = (1020-165)/285 = 3 hrs
------------------------------------------
Total time = 6 hrs