Simply multiply the number of moles by 24 to obtain the volume of gas in dm3 at standard pressure and temperature.
What happens when ethane is burned?According to the chemical formula 2 C2H6 + 7 O2 → 4 CO2 + 6 H2O + 3120 kJ, the full combustion of ethane releases 1559.7 kJ/mol, or 51.9 kJ/g, of heat along with carbon dioxide and water. Amorphous carbon and carbon monoxide can be produced when combustion doesn't involve too much oxygen.
Exothermic reactions, such as the combustion of hydrocarbons, provide heat energy. To find the volume of gas in dm3 at room temperature and pressure, simply multiply the number of moles by 24.
The typical scenario is that you are following a recipe that, for instance, calls for a 0.5 molar solution of NaOH. As you are aware, "0.5 M" refers to 0.5 moles per liter.
Therefore, the correct answer is option B 24 dm³.
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For what value of k is the quadratic polynomial?
In order for (x - k) to be a factor of f(x), it must also be a zero of f(x). An integer-coefficient polynomial function's rational zeros are equal to the constant term's factor divided by the leading coefficient's factor.
What is polynomials?When exponents, constants, and variables are joined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).
Exponents that may be added, subtracted, or multiplied are a part of algebraic expressions called polynomials.Different forms of polynomials exist. linear equations with monomial coefficientsa polynomial with a single term called a monomial.Binomial quadratic equation (A binomial is a polynomial with two, unlike terms).To learn more about polynomials here:-
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Each class at Greenville School has 22 children enrolled. The school has 24 classes. How many children are enrolled at Greenville School?
Answer:
There were 528 students in Greenville school
HELP PLSSS!!
This table represents a proportional relationship.
x 1/8 1/5 1/4
y 1 1/4 2 2 1/2
What is the constant of proportionality for this proportional relationship?
1/10
8/9
10
i dont know.
The constant of proportionality is 10
What are direct and indirect variations ?
One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.
When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.
From the table, y values increase as the x values increase.
This is a direct variation and is given by y=kx.
k is the constant of proportionality
k= y/x
Substitute any pair of x and y values
k= 2/(1/5) = 2*5 = 10
Thus, the constant of proportionality is 10
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A school of has a population of 200. The population is decreasing at a rate of 5% per year. How can you write an exponential decay function to find the quarterly decay rate ?
The quarterly decay rate is given by \rm P = 200(0.9875)^n and this can be determined by using the exponential decay function.
In mathematics, exponential decay refers to the process of decreasing an amount at a constant percentage rate over time. It may be stated as y=a(1-b)x, where y is the final amount, an is the original amount, b is the decay factor, and x is the time elapsed.
A school of fish has a population of 200.
The population is decreasing at a rate of 5% a year.
The formula of exponential decay is given by the equation:
[tex]\rm P = P_0\left(1- \dfrac{r}{100}\right)^n ----- (1)[/tex]
where n is the number of quarters for total decay, r is the rate of decay per quarter,P_0 is the initial population and P is the final population.
Now, put the values of known terms in the equation (1).
[tex]\rm P = 200\left(1-\dfrac{1.25}{100}\right )^n\\\rm P = 200(1-0.0125)^n\\\rm P = 200(0.9875)^n[/tex]
The quarterly decay rate is given by [tex]\rm P = 200(0.9875)^n .[/tex]
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A zip-line is being installed. The higher end of the line is attached to the top of a 70 foot pole while the lower end is anchored at ground level to a stake 70 feet from the base of the pole. Find the angle of elevation for the sip-line and the amount of cable needed to make the zip-line.
Answer:
We can use trigonometry to solve this problem.
Let's call the angle of elevation of the zip-line as "x"
We can use the tangent function to find the angle of elevation:
tan(x) = Opposite/Adjacent
Where opposite is the height of the pole (70 feet) and adjacent is the horizontal distance between the base of the pole and the stake (70 feet).
So we can write:
tan(x) = 70/70
As the adjacent and opposite sides are the same, the tangent of the angle is 1.
The angle of elevation of the zip-line is x = arctan(1) = 45 degrees
To find the amount of cable needed we can use the Pythagorean theorem, as we have a right triangle with the zip-line as the hypotenuse, the height of the pole as one leg, and the horizontal distance between the base of the pole and the stake as the other leg
The cable length is equal to the hypotenuse of the right triangle, which can be calculated as the square root of the sum of the squares of the other two sides:
cable length = √(70² + 70²) = √(4900 + 4900) = √(9800) = 99 feet
So the amount of cable needed to make the zip-line is 99 feet.
Fins the degree of polynomial 3x^4-0x^3+0x^5
The degree of polynomial 3x^4-0x^3+0x^5 is 4
What is degree of a polynomial?Degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is addition of power of variables in that term).
Thus, in
x^3+3x+5
, the degree of the polynomial is 3 as the highest power in its terms is 3.
(power and exponent are same thing)
Given;
Polynomial= 3x^4-0x^3+0x^5
The highest degree from first observation seems to be 4 but the term with exponent 4 is being multiplied with zero so the degree is then 4;
Therefore, the correct degree will be 34
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Mrs. Haley washed 2 5 of her laundry. Her son washed 1/3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
If Mrs. Haley washed [tex]\frac{2}{5}[/tex] of her laundry and her son washed [tex]\frac{1}{3}[/tex] of it , then most laundry was washed by Mrs. Haley and the amount of laundry that is still needs to be washed is [tex]\frac{4}{15}[/tex] .
The fraction of laundry that Mrs. Haley washed is = [tex]\frac{2}{5}[/tex] ;
the fraction of laundry that her son washed is = [tex]\frac{1}{3}[/tex] ;
On comparing both the fraction we get that [tex]\frac{2}{5} > \frac{1}{3}[/tex] ;
So , Mrs. Haley washed more clothes than her son .
In total they both washed ⇒ [tex]\frac{2}{5} +\frac{1}{3}[/tex] = [tex]\frac{11}{15}[/tex] of clothes ;
The amount of laundry that is left to be washed is = [tex]1-\frac{11}{15}[/tex]
On simplifying,
we get ,
= [tex]\frac{4}{15}[/tex] ;
Therefore , there is still [tex]\frac{4}{15}[/tex] of laundry that needs to be washed by them .
The given question is incomplete , the complete question is
Mrs. Haley washed 2/5 of her laundry. Her son washed 1/3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
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A) (0,3)
B) (1,0)
C) (2, -1)
D) (4,3)
Choose three values for x and list them in a table.
How can I make an equation graph?Choose three x values and list them in a table to graph the equation. (Hint: choose values that are simple to calculate, such as 1, 0, and 1.) To determine the matching y-coordinate, substitute each value in the equation and simplify. Draw a straight line between the points of the ordered pairs.
Find two points on the line with integer coordinates.
Starting with the point on the left, draw a right triangle connecting the first and second points.
Count the rise and run on the triangle’s legs.
To calculate the slope, divide the increase by the run. M=riserun.
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Find the missing side length on these similar triangles
11
14
18
12
12 makes up the larger triangle's missing side.
What are similar triangles?Similar triangles are triangles that have an equal shape, however, their sizes might also additionally vary. All equilateral triangles, squares of any facet lengths are examples of comparable objects. In different words, if triangles are similar, then their corresponding angles are congruent and corresponding facets are in the same proportion
Given, the two triangles are similar
From the condition of the similar triangle:
There are three sets of matching sides that are proportionate. In addition to being proportional and having equal corresponding angles, two pairs of corresponding sides are also identical.
thus the ratio of the two sides will be the same
? / 15 = 4/5
? = 12
therefore, the Missing side of the bigger triangle is 12.
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Rocio bought a $12 shirt. The sales tax
rate was 8.25%. What is the final
price?
Answer:
$12.99
Step-by-step explanation:
initial cost of the shirt = $12
sales tax on the shirt = 8.25%
So the final price of the shirt would be ,
initial cost + 8.25% of initial cost
That would be,
$12 + 8.25% of $12
$12 + $0.99
$12.99
And we are done!
-Rishabh
what is the answer to this problem
x=y+2 5x+2y=-18
Answer:
x=-2, y=-4
Step-by-step explanation:
Substitute x=y+2
Simplify [ 7y +10 = -18 ]
Substitute y = -4
Simplify x = -2
have a wonderful day
Answer:
Step-by-step explanation:
You too mate. Cheers!
How do you find the equation of a line Grade 9?
The equation of the line can be calculated using the formula y = mx + c where 'm' represents the slope and 'c' represents the y-intercept of the line.
As given in the question,
Standard equation of the line for grade 9 is given by :
y = mx + c
Here 'm' represents the slope of the line.
Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )
( x₁ , y₁ ) and ( x₂ , y₂ ) are any two coordinates on the line.
And 'c' is known as the y - intercept of the line which is calculated where line cuts the y-axis.
Therefore, the required equation of the line can be calculated using the standard formula y = mx + c.
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PLEASE HELP ASAP. WILL MARK BRAINLIEST
Find the values of x and y in the equation below
Answer:
x=6
y= 18
Step-by-step explanation:
[tex]\frac{a^{18}b^{24} }{a^{12} b^{6} } = a^{6} b^{18}[/tex]
18-12=6
24-6=18
One cup of skim milk contains 8 grams of protein. How many centigrams of protein are in 3d fluid ounces of milk?
As per the given measurement the centigrams of protein are in 3d fluid ounces of milk is 8504.86
The term measurement id known as the process of associating numbers with physical quantities and phenomena.
Here we know that one cup of skim milk contains 8 grams of protein.
Now, we have to find the amount of centigrams of protein are in 3d fluid ounces of milk.
As we all know that one ounce is equal to 2834.9553.
Then if we want the centigram value, then we have to multiply the number with 2834.9553, then we get the result as,
=> 3 x 2834.95
=> 8504.86
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What must be added to 4x ସ − 2x³ − 6x² X − 5 so that the result is exactly divisible by 2x² − x 1?
An expression (5 - 22x) must be added to polynomial 4x⁴ - 2x³ - 6x² + x - 5 so that the result is exactly divisible by a polynomial 2x² + 3x - 2.
Here we have been given two polynomials.
Let us assume that f(x) = 4x⁴ - 2x³ - 6x² + x - 5 and g(x) = 2x² + 3x - 2
we need to find an expression (polynomial) that should be added to 4x⁴ - 2x³ - 6x² + x - 5 so that the result is exactly divisible by 2x² + 3x - 2
If we divide a polynomial f(x) = 4x⁴ - 2x³ - 6x² + x - 5 by g(x) = 2x² + 3x - 2 using polynomial long division method, the result is:
f(x) / g(x)
= ( 4x⁴ - 2x³ - 6x² + x - 5) ÷ (2x² + 3x - 2)
= [(2x² + 3x - 2) × ( 2x² - 4x + 5)] + (5 - 22x)
This means, the quotient is ( 2x² - 4x + 5) and the remainder is (5 - 22x)
(see in attachment)
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The complete question is:
What must be subtracted from 4x⁴-2x³-6x²+x-5 so that the result is exactly divisible by by 2x²+3x-2?
A Truck manufacture selects 3 trucks at ramdom from each of 6 models for safety testing.
What type of sample is this?
The type of sampeling performed by the truck manufacture is known as Simple random sampling .
What is sampling in Probability ?The sampling probability of an element or member of the population is its likelihood of being included in the sample during the drawing of a single sample in the theory pertaining to sampling from limited populations.
Probability sampling methods include simple random sampling, systematic sampling, stratified sampling, and cluster sampling.
A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same probability of getting chosen.
A probability sampling technique called systematic sampling involves picking people from the population at regular intervals, such as every 15th person on a list of the population. This can mimic the advantages of straightforward random sampling if the population is arranged in a random order.
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Why is ln used more than log?
We are using ln more than log because, we compare all log with different base value with ln.
What is Natural logarithm?The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
According to question:As mentioned above, we use natural logs (i.e., logarithms in base e) because coefficients on the natural-log scale may be directly interpreted as roughly proportionate differences: for example, with a coefficient of 0.06, a change of 1 in x corresponds to a roughly 6% change in y, and so on.
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please help solve for missing side!
The value of x is √589. The ladder will reach √589 feet up of the wall.
What is the right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
Given that a ladder is placed against a wall. The length of the ladder is 25 feet. The distance of the ladder from the wall is 6 inches. Thus it forms a right triangle.
Assume that by using the ladder a man reaches x feet up the wall.
Then the base of the right triangle is 6 inches.
The hypotenuse is 25 inches. The height of the right triangle is x inches.
Applying Pythagorean theorem:
6² +x² = 25²
36 + x² = 625
x² = 625 -36
x² = 589
Taking square root on both sides:
x = √589 feet
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the value $f^{(100)}(100)$ can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. find the remainder when $m n$ is divided by 1000.
(m,n) are chosen uniformly among all relatively prime pairs of integers up to N and then N→∞
One thing is certain in this case: if m and n are prime numbers other than 2, we can be sure that they are relatively prime since (m, n) = 1. Additionally, since m + n is even, it is impossible for it to be a prime, and the probability in this situation is 0.
We require a sample space before we can discuss the probability of anything. To put it simply, we must comprehend how the relatively prime integers m and n came to be chosen. Questions concerning the likelihood that something will occur have no meaning if not.
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The question is wrong and stands no meaning, the possible question might be
Suppose positive integers m and n are relatively prime. What is the probability that (m + n) is a prime number?
Last week Jean did to sit ups on Monday and three set ups on Wednesday this week Jean to three times as many sit ups as last week can use the expression 2+3×3 to find the number of sit ups she did this week explain and correct her error
The right expression for determining the number of sit ups Jean did in this week is , x = 2× 3 + 3×3 and in count it is equals to 15.
We have, Last week the number of sit ups done by Jean on Monday = 2 sit ups
the number of sit ups done by Jean on Wednesday = 3 sit ups .
But this week, her sit ups are three times as many sit ups as last week. Let us assume the number of sit ups she did in this week be "x".
Total sit ups done by her in last week = 2 + 3
= 5
The expression, used by her to calculate the number of sit ups she did this week = 2+3×3 --(*)
According to problem, In this week the number of sits ups that she did, x = 3× 5 or 2× 3 + 3×3 = 15 .
So, the right expression can be written as x =
2× 3 + 3×3 . Now, comparing the both expression to determine the error in her expression. The error in her expression is that she skip the 3 times in case of Monday sit ups.
Hence, the the number sit ups she did this week is 15 or 2× 3 + 3×3 .
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Complete question:
Last week, Jean did two sit-ups on Monday and three sit-ups on Wednesday. This week, Jean did three times as many sit-ups as last week. Jean used the expression to find the number of sit-ups she did this week. Explain and correct her error.
21 divided by a number b
The expression to represent the given phrase is 21/b.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, 21 divided by a number b.
The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
So, the expression is 21/b
Therefore, the expression to represent the given phrase is 21/b.
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4. Determine g(6) in the function below g(x) = 4x² - x + 12
Answer:
g(6) = 150
Step-by-step explanation:
g(x) = 4[tex]x^{2}[/tex] - x + 12
x = 6
g(6) = 4[tex](6)^{2}[/tex] - (6) + 12
= 4 (36) - 6 +12
= 144 - 6 + 12
= 150
help pleasee ill mark u brainlest wtv its called
Answer: expression A and D have the same answer so option C
Step-by-step explanation:
they both get the answer of -0.86
Answer: there are two anwers to this question.
A and D give the same value, B and C also give the same value.
For every 5 calendars that Josh sold, Laure sold 4. Josh sold 45 calendars last month. How many calendars did Lauren sell?
Answer:
If for every 5 calendars that Josh sold, Laure sold 4, and Josh sold 45 calendars last month.
Lauren sold 4/5 * 45 calendars = 36 calendars last month.
Step-by-step explanation:
Answer:
We know that for every 5 calendars Josh sold, Lauren sold 4. This is a ratio of 5:4, which means that for every 5 calendars Josh sells, Lauren sells 4.
We also know that Josh sold 45 calendars last month. We can use this information to find out how many calendars Lauren sold by using the ratio of 5:4.
We can set up the equation:
5/4 = 45/x
Where x represents the number of calendars that Lauren sold.
We can solve for x by multiplying both sides of the equation by x:
5x = 4*45
x= 4*45/5
x= 36
So Lauren sold 36 calendars last month.
The lifespans of zebras in a particular zoo or normally distributed the average zebra lives 20. 5 years the standard deviation is 3. 9 years use the empirical rule to estimate the proper Millatti of a zebra living between 16. 6 and 24. 4 years
On the basic of empirical rule, the estimate value of proper Millatti of a zebra living between 16. 6 and 24. 4 years is 0.6826.
We have, the lifespans of zebras in a particular zoo or normally distributed.
Average zebra lives,µ = 20.5 years
Standard deviations,σ = 3.9 years
We have to estimate the proper Millatti of a zebra living between 16. 6 and 24. 4 years.
In line accordance with the empirical rule : is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).The rule states that (approximately):
68% of the data points will fall within one standard deviation of the mean.95% of the data points will fall within two standard deviations of the mean.99.7% of the observed data, following a normal distribution, lie within 3 standard deviations of the mean.We have to determine value of
P(16.6 < x< 24.4 ). The Z-Score formula, Z is defined as (x - µ)/σ . Now,
Z = (24.4 - 20.5)/3.9
=> Z = 3.9/3.9
=> Z = 1
This value of Z = 1 tells us that row score for 24.4 years is one standard deviations from mean. In other words, 68% of the values between Z = -1 and Z = 1 , i.e., -1 < z < 1. Normal distribution is symmetric, so half area above the Z = 1 and half below Z = -1. So, P( -1 < z < 1) = P(16.6< x<24.4 ).
so the probability of a zebra living between 16. 6 and 24. 4 years is P(16.6 < x< 24.4 ),
= P( -1 < z < 1)
= P( z> 1 ) - P( z< -1)
= 0.68269
Hence, the required probability is 0.6826.
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Is L2 distance same as Euclidean distance?
The vector coordinate's separation from the vector space's origin is determined by the L2 norm. As a result of its calculation as the Euclidean distance from the origin, it is sometimes referred to as the Euclidean norm.
What is L2 distance?In mathematics, the length of a line segment connecting two points in Euclidean space is known as the Euclidean distance.
It is sometimes referred to as the Pythagorean distance since it can be determined from the points' Cartesian coordinates using the Pythagorean theorem.
The vector coordinate's separation from the vector space's origin is determined by the L2 norm.
As a result of its calculation as the Euclidean distance from the origin, it is sometimes referred to as the Euclidean norm.
Therefore, the vector coordinate's separation from the vector space's origin is determined by the L2 norm. As a result of its calculation as the Euclidean distance from the origin, it is sometimes referred to as the Euclidean norm.
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help needed with these two :)
Answer: D and B
Step-by-step explanation:
17. Trying out all of the answers, you can find that D works
18. Also trying out all four answers, you can find that B works
Tom makes 9 dollars for each hour of work. Write an equation to represent his total pay P after working H hours.
Answer:
9 x 5 = 45
Step-by-step explanation:
An example: Tom worked for 5 hours today, for each hour, he earned $9, how much money did he earn in total?
$9 x 5 hours of work = $45 for 5 hours
The points (3,8) and (1,4) fall on a particular line, what is its equation in slope-intercept form
Answer:
also Y=mx+b
Step-by-step explanation:
for stater X1=3 X2=1 and Y1=8 Y2=4
m=rise run=ΔyΔx
m=y2−y1x2−x1
m=4-1/8-3
m=3/5