The fraction of the total pressure due to the 1.0 mol of gas added to the system with the valve open will be equal to the mole fraction, which is 1.0 mol / (x + 1.0 mol).
To find the fraction of the total pressure due to 1.0 mol of a gas when it is added to the system with the valve open, follow these steps:
1. Calculate the total moles of gas in the system by adding the moles of the existing gas and the 1.0 mol of gas is added. Let's assume there are x moles of gas initially present in the system. Then, the total moles of gas will be x + 1.0 mol.
2. Use the mole fraction formula to find the fraction of the total pressure due to the added gas. The mole fraction (X) of a component in a mixture is the ratio of the moles of that component to the total moles of the mixture.
Mole fraction (X) = moles of the component / total moles in the mixture
3. Substitute the values into the formula:
Mole fraction (X) = 1.0 mol / (x + 1.0 mol)
You can learn more about mole fractions at: brainly.com/question/29808190
#SPJ11
What is 3/4 of 1/2 of 64
Answer
24
Explanation
(3/4) of (1/2) of 64
Noting that 'of' stands for the multiplication sign, we have
\(\begin{gathered} \frac{3}{4}\times\frac{1}{2}\times64 \\ =\frac{3\times1\times64}{4\times2} \\ =3\times8 \\ =24 \end{gathered}\)Hope this Helps!!!
The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??
show work.
Answer:
\(5\sqrt{5}\)
Step-by-step explanation:
1. \(5^2 +10 ^2 = c^2\)
2. \(c^2 = 125\)
3. \(c = 5\sqrt{5}\)
Answer:
approximately 11.18 inches or \(5\sqrt{5\) inches
Step-by-step explanation:
We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.
5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c
sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)
The hypotenuse is approximately 11.18 inches or \(5\sqrt{5\) inches.
What was the total amount of the checks listed on the opposite of the deposit slip
From the deposit slip
The amount on each check is
Check #162 = $123.51
Check #234 = $211.00
Check #521 = $214.14
The summation of the amount on each check is\
\(\text{\$}123.51+\text{\$}211.00+\text{\$}214.14=\text{\$}548.65\)T
Answer: $521.24
Step-by-step explanation:
The area and one side of a rectangle are given. Determine the missing dimension
The missing dimension is x + 4
How to determine the missing dimension?The given parameters are:
Area = 4x^2 + 13x - 12
Length = 4x - 3
The width is calculated using:
Width = Area/Length
This gives
Width = (4x^2 + 13x - 12)/(4x - 3)
Expand
Width = (4x^2 + 16x - 3x - 12)/(4x - 3)
Factorize
Width = (4x(x + 4) - 3(x + 4)/(4x - 3)
Factor out x + 4
Width = (4x - 3)(x + 4)/(4x - 3)
Cancel out the common factor
Width = x + 4
Hence, the missing dimension is x + 4
Read more about area at:
https://brainly.com/question/24487155
#SPJ1
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
1
Step-by-step explanation:
Slope (m) of the line can be derived using the following formula below:
\( m = \frac{y2 - y1}{x2 - x1} \)
To solve this, we can pick any two points on the line, and use the coordinates of the points to solve for the slope (m) of the line.
To find the slope (m) of the line given, let's use the coordinates of the points where the line intercepts the y-axis and the x-axis.
Thus, when x = 0, y = 3. Let's make this the first pair of coordinates at the point where the line intercepts the y-axis.
At the point where the line intercepts the x-axis, when x = -3, y = 0.
We now have the following points => in the following format (x, y) as:
Point 1 => (0, 3). Let this be (x1, y1)
Point 2 => (-3, 0). Let this be (x2, y2)
==>Let's find slope (m):
\( m = \frac{y2 - y1}{x2 - x1} \)
\( m = \frac{0 - 3}{-3 - 0} \)
\( m = \frac{-3}{-3} \)
\( m = 1 \)
Slope (m) = 1
Mrs. Genebe worked all year and earned $23,400. How much did she earn per week?
Answer:
$448.766754 per week or $448
Step-by-step explanation:
i gotchu
theres 52.1429 weeks
divide 23,400 by 52.1429
u get $448.766754 per week
28. A speed of a boat in still water is 11 km/hr. It can go 12 km upstream and return downstream to
the original point in 2 hr 45 minutes. Find the speed of the stream,
Answer:
Step-by-step explanation:
19?
Answer:
5 km
Step-by-step explanation:
Give the value of M and C.
Answer:
y = 5x - 3, so M = 5 and C = -3.
M angle XHK=(8x+6) and m angle HKV = 126
1. m angle XHK
2. m angle HKV
Question 3
\(m\angle XHK=126^{\circ}\) by the alternate interior angles theorem.
Question 4
\(m\angle HKV=126^{\circ}\) because it is given.
Jennifer made these measurements on ABC,BC must be-?
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
show y = x^2 + 20x - 5 in vertex form show work
i will brainliest
Answer:
Y=(x+10)^2-105
Step-by-step explanation:
y=x^2+20x-5
y+?=x^2+20x+?-5
y+?=x^2+20x+100-5
y+100=x^2+20x+100-5
y+100=(x+10)^2-5
y=(x+10)^2-5-100
(6) Five men and four women play in a softball team.
Their names are put into a hat and two people are randomly selected to co-captain the
2
(1)
Copy and complete the probability tree diagram in your answer booklet.
First Captain
Second Captain
Male
Male
9
Female
Male
Female
9
Female
2
Calculate the probability that there will be at least one female captain.
2
(iii) Grant is one of the men on the team. He believes that he has a good chance of being
one of the co-captains.
Do you agree? Justify your answer.
Answer:
ANSWER IS 12
Step-by-step explanation:
Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the second one chose action?
1/27
4/7
18/28
1/14
The table below lists the frequency of wins for different post positions in a horse race. A post position of 1 is closest to the inside rail, so that horse has the shortest distance to run. (Because the number of horses varies from year to year, only the first 10 post positions are included.) Use a 0.05 significance level to test the claim that the likelihood of winning is the same for the different post positions. Based on the result, should bettors consider the post position of a horse race?
Post Position 1 2 3 4 5 6 7 8 9 10
Wins 18 13 10 15 15 7 9 13 5 11
Determine the null and alternative hypotheses.
Calculate the test statistic
Calculate the P-value
What is the conclusion for this hypothesis test?
A. Reject H0.
There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
B. Reject H0.
There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
C. Fail to reject H0.
There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions..
D. Fail to reject H0.
There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
Part 5
Based on the result, should bettors consider the post position of a horse race? Yes or no
The null and alternative hypotheses is 0.027.The null and alternative hypotheses are H0:
The likelihood of winning is the same for all post positions. H1: The likelihood of winning is not the same for all post positions.Calculation of the test statistic:
\(X^2\)=20.06
Calculation of the P-value:
P-value= 0.027
Conclusion for this hypothesis test:Since the P-value (0.027) is less than the level of significance (0.05), we reject the null hypothesis.
There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
The bettors should consider the post position of a horse race since the position of a horse in a race affects the probability of winning.
To know more about hypotheses visit:
https://brainly.com/question/606806
#SPJ11
simplify (4m+5n)^2+(5n+4n)^2
Answer:
16m^2+40mn+106n^2
True or False: 3.6 ft = 3 ft 6 in A. True B. False
Answer:
FALSE
Step-by-step explanation:
3.6ft is 43.2
3ft 6in is 42 in
1. Billy's mother started a college fund on Billy's 8th birthday. She
deposited $8,200 into a savings account that yields an interest rate of
0.21% compounded annually. How much money will the savings account
be worth when Billy turns 18 years old?
Two cell phone companies are competing for your business. One charges 50. 00 a month for unlimited usage and the other charges $30. And 10 cents per minute. After how many minutes are both plans the same
Therefore, both plans are the same when 200 minutes are used in a month.
Let's assume that the business charges is the number of minutes used in a month is represented by "m".
For the first cell phone company that charges $50 for unlimited usage, the cost per month is always $50, regardless of the number of minutes used.
For the second cell phone company that charges $30 and 10 cents per minute, the cost per month is given by the equation:
Cost = $30 + $0.10 × m
We want to find out when the cost for the second cell phone company equals the cost for the first cell phone company. In other words, we want to solve the equation:
$50 = $30 + $0.10 × m
Subtracting $30 from both sides, we get:
$20 = $0.10 × m
Dividing both sides by $0.10, we get:
m = 200
If the number of minutes used is less than 200, the second cell phone company's plan is cheaper, and if the number of minutes used is greater than 200, the first cell phone company's plan is cheaper.
Learn more about business charges Visit: brainly.com/question/14417871
#SPJ4
i had to put an image
Answer: The solution would have to be March. The reason for this is, is because the imports and exports are both "5" in March.
Step-by-step explanation:
I read online how to do this and it makes sense.
Hope this helps!!!
Abby found that the radius of her bike tire was 14 inches what is the circumstances of the tire
Answer:
28
Step-by-step explanation:
radius= 14
circumstances of tire=?
Based on given conditions, formulate
circumstances= 2 multiply radius
= 2 multiply by 14
= 28
Assignment I. Find the area between the given curves: - - - 1. y = 4x – x^2, y = 3 2. y = 2x^2 – 25, y = x^2 3. y = 7x – 2x^2 , y = 3x 4. y = 2x^2 – 6 , y = 10 – 2x^2 5. y = x^3, y = x^2 + 2x 6. y = x^3, y = 9x 7. x = y^2 , x = y + 2 8. y^2 - 4x = 4, 4x - y = 16
1. y = 4x – x², y = 3To find the area between the two curves, we will integrate the difference between the two curves. We need to determine the limits of integration first. We integrate from x = 0 to x = 4. This implies that the upper curve is y = 3, and the lower curve is y = 4x - x².Thus, we have:
2. y = 2x² – 25, y = x²
To find the area between the two curves, we will integrate the difference between the two curves. We integrate from x = - 3 to x = 3. This implies that the upper curve is y = 2x² - 25, and the lower curve is y = x². Thus, we have:
3. y = 7x – 2x², y = 3x
To find the area between the two curves, we will integrate the difference between the two curves. We integrate from x = 0 to x = 7/2. This implies that the upper curve is y = 3x, and the lower curve is y = 7x - 2x². Thus, we have:
4. y = 2x² – 6, y = 10 – 2x²
To find the area between the two curves, we will integrate the difference between the two curves. We integrate from x = - 2 to x = 2. This implies that the upper curve is y = 10 - 2x², and the lower curve is y = 2x² - 6. Thus, we have:
5. y = x³, y = x² + 2x
To find the area between the two curves, we will integrate the difference between the two curves. We integrate from x = - 1 to x = 2. This implies that the upper curve is y = x² + 2x, and the lower curve is y = x³. Thus, we have:
6. y = x³, y = 9x
To find the area between the two curves, we will integrate the difference between the two curves. We integrate from x = - 1 to x = 1. This implies that the upper curve is y = 9x, and the lower curve is y = x³. Thus, we have:
7. x = y², x = y + 2
To find the area between the two curves, we will integrate the difference between the two curves. We integrate from y = - 2 to y = 2. This implies that the right curve is x = y + 2, and the left curve is x = y². Thus, we have:
8. y² - 4x = 4, 4x - y = 16
To find the area between the two curves, we will integrate the difference between the two curves. We integrate from x = - 3 to x = 4. This implies that the upper curve is 4x - y = 16, and the lower curve is y² - 4x = 4. Thus, we have:
Therefore, the area between the given curves are as follows:1. 9/2 sq units2. 56/3 sq units3. 15/4 sq units4. 32 sq units5. 7/6 sq units6. 45/4 sq units7. 4/3 sq units8. 180/7 sq units
To know more about area, visit:
https://brainly.com/question/30307509
#SPJ11
express the given quantity as a single logarithm. ln(a b) ln(a − b) − 9 ln c
The given quantity needs to be expressed as a single logarithm. Explanation: We know that the following properties of logarithm hold true.log a + log b = log ab log a - log b = log a/b n log a = log a^ n log a ^b = b log a Let's apply the properties of logarithms in order to express the given quantity as a single logarithm. Now, ln(a b) ln(a − b) − 9 ln c= ln a + ln b + ln(a-b) - 9 ln c= ln [(a b)(a-b) / c^9]Therefore, the given quantity can be expressed as a single logarithm, ln [(a b)(a-b) / c^9].
We need to express the given quantity as a single logarithm.In order to express the given quantity as a single logarithm we need to use the following logarithmic identities:
Product Rule: `log_b (mn) = log_b (m) + log_b (n)` and
Quotient Rule: `log_b (m/n) = log_b (m) - log_b (n)`
Using Product Rule we get: `ln(a b) = ln(a) + ln(b)`
Therefore `ln(a b) ln(a − b) = ln(a) + ln(b) ln(a − b)`
And `ln(a b) ln(a − b) − 9 ln c = ln(a) + ln(b) ln(a − b) - 9 ln c`
We can also use the Product Rule on `ln(b) ln(a − b)` to get: `ln(b) ln(a − b) = ln(b(a − b))`
Hence `ln(a b) ln(a − b) − 9 ln c = ln(a) + ln(b(a − b)) - ln(c^9)`
Thus, `ln(a b) ln(a − b) − 9 ln c = ln(ab(a − b)/c^9)`
Therefore, the quantity can be expressed as `ln(ab(a − b)/c^9)` as a single logarithm.
To know more about Quotient, visit
https://brainly.com/question/16134410
#SPJ11
do we have to use u-substitution for non-basics, or is there a more direct way to find chain rule integrals?
While there may be other integration techniques that can be used to evaluate some chain rule integrals directly, u-substitution is a powerful and versatile tool that is often used to simplify and evaluate these types of integrals.
The chain rule is a fundamental concept in calculus, and it applies to differentiation as well as integration. The chain rule integration technique involves recognizing the function inside the integral as the composition of two functions, and then using substitution to simplify the integral.
In some cases, it may be possible to use other integration techniques to evaluate chain rule integrals directly, without using substitution. However, in general, the use of substitution (or a related technique, such as integration by parts) is often necessary to evaluate chain rule integrals.
That being said, there are some special cases where the chain rule integrals can be evaluated more directly, such as when the integrand is a polynomial or a rational function, or when it has a simple algebraic form.
To know more about U-distribution follow
https://brainly.com/question/31384725
#SPJ1
rofessional sample surveys use careful random samples, usually by randomly dialing telephone numbers, to come close to an SRS. But the results that a sample survey actually obtains may be strongly biased because (select the two that apply)... Group of answer choices many people refuse to respond to telephone surveys. surveys report only what their sponsors want to hear. not everyone has a telephone. the margin of error is too large.
The source of bias in the survey embarked upon would stem from that 'many people refuse to respond to telephone surveys.'
The behaviour whereby people refuse to respond to telephone surveys is called non-response bias. It can occur for a variety of reasons, such as people being too busy, not interested in the survey, or not trusting the surveyor. Non-response bias can lead to the survey results being inaccurate, as the people who do respond may not be representative of the population as a whole.
Therefore , the presence of bias would likely stem from the fact that "many people refuse to respond to telephone surveys."
Learn more on bias: https://brainly.com/question/24491228
#SPJ4
The function h is given by 2 h x( ) = log2 ( x 2). for what positive value of x does h x( ) = 3?
The function h is given by h(x) = log2(x^2). The positive value of x for which h(x) = 3 is 2√2.
To solve this, we can start by setting h(x) equal to 3:
log2(x^2) = 3
Next, we can rewrite the equation in exponential form:
2^3 = x^2
Simplifying, we get:
8 = x^2
To solve for x, we can take the square root of both sides:
√8 = √(x^2)
Simplifying further:
√8 = x
However, we need to find the positive value of x. So, the answer is:
x = √8
Now, let's simplify √8. Since 8 can be written as 4 * 2, we have:
x = √(4 * 2)
Taking the square root of 4 and 2 individually:
x = √4 * √2
Simplifying:
x = 2 * √2
Therefore, the positive value of x for which h(x) = 3 is 2√2.
Learn more about square root:
brainly.com/question/428672
#SPJ11
Find the area.
5 cm
help omg
Answer:
78.5398163397
Step-by-step explanation:
πr^2 = Area of a circle
5^2 = 25
25xπ = 78.5398163397
the area of the retangler piece of foil is 11 1/4 square inches its length is 4 1/2 inches what is the width of the foil?
Answer:
The width of the foil = w = 2.5 inches
Step-by-step explanation:
We know that the Area of a rectangular piece:
\(A=wl\)
Here:
'w' is the width 'l' is the lengthGiven that area of the rectangular piece of foil:
Area = A = 11 1/4 square inches
= 45/4 square inches
= 11.25 square inches
Length = l = 4 1/2 inches
= 9/2 inches
= 4.5 inches
Using the Area formula
\(A=wl\)
\(w\:=\:\frac{A}{l}\)
\(=\frac{11.25}{4.5}\)
\(= 2.5\) inches
Thus, the width of the foil = w = 2.5 inches
Answer:
Step-by-step explanation:
I think it would be 5
HELP ASAPPPPpppppppp
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
1 x 1 = 1
3 x 4 = 12
If k=4 then the remainder of (x^3-7x+k)/x+1 is 2. True or False?
Answer:
Step-by-step explanation:
It would be true
Answer:
k=2 so false
Step-by-step explanation:
which equation does the graph below represent?108642-5 -4 -3 2-1021 23 454-6-8-10Ly= 2x1уX212.y. 2x
The line passes through the point (0,0) and point (1,2).