The molar mass of the sugar in the solution having an osmotic pressure of 30.1 mmHg at 34.3°C is 7.211 g/mol.
To find the molar mass of the sugar in the given solution, we can use the formula for osmotic pressure:
π = MRT
where π is the osmotic pressure, M is the molar concentration, R is the ideal gas constant, and T is the temperature in Kelvin.
First, let's convert the volume of the solution to liters:
254 mL = 0.254 L
Next, let's convert the osmotic pressure to atm:
30.1 mmHg = 30.1/760 atm = 0.0396 atm
Now, let's convert the temperature to Kelvin:
34.3°C = 34.3 + 273.15 = 307.45 K
Now we can plug the values into the formula and solve for the molar concentration (M):
0.0396 atm = M * 0.254 L * 0.0821 L.atm/(mol.K) * 307.45 K
Simplifying the equation:
M = (0.0396 atm) / (0.0821 L.atm/(mol.K) * 0.254 L * 307.45 K)
M = 0.0396 / (0.06395 mol)
M = 0.617 mol/L
Finally, let's find the molar mass of the sugar. We know that the molar concentration is equal to the number of moles divided by the volume:
M = (mass of the sugar) / (molar mass of the sugar * volume of the solution)
Simplifying the equation:
molar mass of the sugar = (mass of the sugar) / (M * volume of the solution)
Plugging in the given values:
molar mass of the sugar = 1.13 g / (0.617 mol/L * 0.254 L)
molar mass of the sugar = 1.13 g / 0.1568 mol
molar mass of the sugar = 7.211 g/mol
Therefore, the molar mass of the sugar is 7.211 g/mol.
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Let f be the function with derivative given by f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. Which of the following statements is true?
A) f is decreasing for −a
B) f is decreasing for x<−a and x>a because f′(x)<0 for x<−a and x>a.
C) f is decreasing for x<0 because f′(x)<0 for x<0.
D) f is decreasing for x<0 because f′′(x)<0 for x<0.
C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of f is f′(x)=x2−a2=(x−a)(x+a).
This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
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Solve for x 1-6x=-17
Answer:
x=3
Step-by-step explanation:
1. Rearrange terms
1 - 6x = -17
-6x + 1 = -17
2. Subtract 1 from both sides of the equation (we want to get rid of 1)
3. Simplify
In the end, you should get x=3.
Identify The Type Of Graph Below.
Answer: That's a line graph
Step-by-step explanation:
Answer:
It would be a line graph or a bar/ coulum
Step-by-step explanation:
when knowing x how do you find y?
Are these two claims equivalent, in conflict, or not comparable because they’re talking about different things?
a. “We mark up the wholesale price by 33% to come up with the retail price”
b. “The store has a 25% profit margin”
Note: Profit margin = (Retail price - Wholesale price)/(Retail price)
Answer:
statement 'a' and 'b' are comparing two different things
Step-by-step explanation:
statement 'a' is referring to arriving at a selling price for at least one product
but, assuming the store sells more than one product then there is no correlation to the profit margin of the store as a whole
use the figure on the right to find the length of DC.The length of DC is
DC = 17
Explanations:From the diagram shown:
DE is symmetrical to BE
DE = BE
AD = 11
BC = 17
ADE and BAE are congruent triangles because :
DE is congruent to BE and
AE is shared by both.
Also angle E is a right angle in both
This is called the SIde-Angle -Side Property (SAS)
Therefore, BC = DC = 17
Use elimination to solve for x and y:
- 2x - y = 9
2x - 9y = 1
Answer:
x=-4, y=-1
Step-by-step explanation:
Given the following system of equations, solve the system using elimination.
\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)
(1) - Add the equations together
\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)
Notice how the x term was eliminated, hence the name for this method is "elimination."
(2) - Take the value we just found for y and plug it into either of the two equations and solve for x
\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)
(3) - Thus, the system is solved. When x=-4, y=-1.
Jan has three times as many marbles as Liana. If Jan gives 3 of her marbles to Liana,
they will have the same number. How many marbles do they have between them?
(A) 18
(B) 6
(C) 8
(E) 16
Answer:
Step-by-step explanation:
I got 12 so not sure.
3x-3=x+3
2x=6
X=3
So 3x3 =9. +3. =12
given a sample of size of 36 how large does the population standard deviation have to be in order for the standard error to be
If you provide the desired standard error value, I can help you calculate the corresponding population standard deviation.
The standard error is a measure of the variability or uncertainty of a sample mean. It is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, if we want the standard error to be smaller, the population standard deviation should be larger.
To determine how large the population standard deviation needs to be, we need to specify a desired standard error value. Without that information, it is not possible to provide a specific answer. The relationship between the population standard deviation and the standard error is inversely proportional, so as the population standard deviation increases, the standard error decreases.
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focus groups of 12 people are randomly selected to discuss products of the yummy company. it is determined that the mean number (per group) who recognize the yummy brand name is 9.3, and the standard deviation is 0.99. would it be unusual to randomly select 12 people and find that fewer than 5 recognize the yummy brand name?
To determine if it would be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name, we can use the concept of standard deviation and z-scores.
First, we need to calculate the z-score, which measures how many standard deviations an observation is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where
x is the observed value (in this case, 5)μ is the mean (9.3)σ is the standard deviation (0.99)Calculating the z-score:z = (5 - 9.3) / 0.99
z = -4.394
Next, we can consult a standard normal distribution table or use statistical software to find the corresponding percentile associated with the z-score. This percentile represents the probability of randomly selecting a group of 12 people with fewer than 5 recognizing the Yummy brand name.
In this case, the z-score of -4.394 corresponds to an extremely low percentile, close to 0.
The exact probability can be determined using the z-score and the standard normal distribution table.
Since the probability is extremely low, it would be considered unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name.
However, it's important to note that the definition of "unusual" may vary depending on the specific criteria or threshold chosen.
In statistical terms, a common threshold for defining unusual events is a significance level of 5% (or 0.05). If the probability of observing the event is lower than the significance level, it is considered unusual.
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-6+2u≤2 ?????????????????
Answer:
2u≤8⇒u≤4
Step-by-step explanation:
if we want to round 1.4279 to two decimal places, then what is the critical digit?
Answer:
1.43 is the answer when you round it 2 decimal places
Step-by-step explanation:
hope this helps
Solve for 2.
Your answer must be simplified.
-12 < 44 + x
O x is less than or equal to -56
x is less than -56
O x is greater than - 56
x is greater than or equal to -56
Answer:
A
Step-by-step explanation:
the answer is A because it is
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
True of False? 3x +6=12
Answer
false 3 times 6 doesn't =12 that would be 18 2 times 6 =12
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
halp i will literally die
Answer: x=10°
Step-by-step explanation:
Plot all of the existing five features of the following rational function (some may not
be needed). if you get a fraction or decimal then plot as close to the true location as
possible.
f(x)=-4x-13/6x-4
The vertical asymptote is at x = 2/3, the horizontal asymptote is y = (-2/3)x, the x-intercept is at (-13/4, 0), and the y-intercept is at (0, 39/16). The graph of rational function is shown.
To plot the rational function f(x) = (-4x - 13)/(6x - 4), we can follow these steps:
Find the vertical asymptote(s) by setting the denominator equal to zero and solving for x. In this case, 6x - 4 = 0, so x = 2/3. Therefore, there is a vertical asymptote at x = 2/3.
Find the horizontal asymptote by comparing the degrees of the numerator and denominator. Since the degree of the numerator is 1 and the degree of the denominator is also 1, the horizontal asymptote is y = (-4/6)x = (-2/3)x.
Find the x-intercept by setting the numerator equal to zero and solving for x. In this case, -4x - 13 = 0, so x = -13/4. Therefore, there is an x-intercept at (-13/4, 0).
Find the y-intercept by setting x equal to zero and evaluating the function. In this case, f(0) = (-13/4) / (-4/3) = 39/16. Therefore, there is a y-intercept at (0, 39/16).
Choose some other values of x to plot the curve of the function. For example, we can choose x = -3, -2, -1, 0, 1, 2, 3.
Using these steps, we can plot the rational function as shown.
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Write equation of the line containing (6,3) and (4,1) Group of answer choices y = -1x + 5 y = 1x - 3 y = 1x + 5 y = -1x + 3
Answer:
y = x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (6, 3) and (x₂, y₂ ) = (4, 1)
m = \(\frac{1-3}{4-6}\) = \(\frac{-2}{-2}\) = 1 , then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 1 )
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
y=x2-4x-5 domain range and function
Answer:
Step-by-step explanation:
y=x²-4x-5
y=x²-4x+4-4-5
y=(x-2)^2-9
we can put any value of x.
Domain: all real values of x
Range:all real values ≥-9
What does it mean when a function is one-to-one?
Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.
if c is a circle of radius 5 centered at the point ( 3, -5 ), then evaluate ∮ c ( 5 y − e sin ( x ) ) d x ( 8 x − sin ( y 3 y ) ) d y ∮c(5y-esin(x))dx (8x-sin(y3 y))dy . value = π ⋅
To evaluate this line integral, we will use Green's theorem, which states that for a closed curve C, oriented counterclockwise, and a region R bounded by C, the line integral of the vector field F along C is equal to the double integral of the curl of F over R:
∮c F ⋅ dr = ∬R (curl F) ⋅ dA
In this case, our vector field F is:
F = (5y - e×sin(x)) i + (8x - sin(y³)) j
And the curl of F is:
curl F = ∂(8x - sin(y³))/∂x - ∂(5y - e*sin(x))/∂y = 5e×cos(x) + 3y²×cos(y³)
Now, we need to find the region R bounded by C, which is the circle of radius 5 centered at (3,-5). This is simply the disk with center (3,-5) and radius 5.
Using polar coordinates, we can write the double integral as:
∬R (curl F) ⋅ dA = ∫θ=0..2π ∫r=0..5 (5e×cos(θ) + 3r²×cos(r³×sin(θ)³)) r dr dθ
Evaluating this integral, we get:
∬R (curl F) ⋅ dA = π×(625e + 375)
Therefore, by Green's theorem:
∮c F ⋅ dr = π×(625e + 375)
Substituting F and evaluating the integral, we get:
∮c (5y - e×sin(x)) dx + (8x - sin(y³)) dy = π×(625e + 375)
This is the value of the line integral.
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use the drag-and-drop tiles to determine whether the number is rational or not rational
Answer:
The correct answer is not rational.
Step-by-step explanation:
Prove that there are no integer solutions to x2 − 3 = 4y. (Hint: Do a proof by cases, the cases being the value of x modulo 4).
Q2. Translate the following English statements into logical expression:
1. There is a computer which is not used by any student.
2. Bill has at least two sisters.
3. Every student takes at least one course.
4. Only one student failed Computer Science II.
5. No student failed CS I but at least one student failed CS II.
6. Every student who take CS I also takes CS II.
How to solve these?
Translating English statements into logical expressions requires identifying the appropriate quantifiers and logical operators to represent the given statements.
1. There is a computer which is not used by any student.
Logical expression: ∃c (Computer(c) ∧ ¬∃s (Student(s) ∧ Uses(s, c)))
2. Bill has at least two sisters.
Logical expression: ∃b (Person(b) ∧ Sister(b, s1) ∧ Sister(b, s2) ∧ s1 ≠ s2)
3. Every student takes at least one course.
Logical expression: ∀s (Student(s) → ∃c (Course(c) ∧ Takes(s, c)))
4. Only one student failed Computer Science II.
Logical expression: ∃s (Student(s) ∧ Failed(s, CSII) ∧ ¬∃s' (s' ≠ s ∧ Failed(s', CSII)))
5. No student failed CS I but at least one student failed CS II.
Logical expression: ¬∃s (Student(s) ∧ Failed(s, CSI)) ∧ ∃s (Student(s) ∧ Failed(s, CSII))
6. Every student who takes CS I also takes CS II.
Logical expression: ∀s (Student(s) ∧ Takes(s, CSI) → Takes(s, CSII))
In each translation, we use quantifiers (∃ for "there exists" and ∀ for "for all") to capture the existence or universality of certain objects. Logical operators such as ∧ (logical "and") and ¬ (logical "not") are used to combine and negate statements as needed.
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Use the distributive property to write an equivalent expression.
4(4q+8r)
Answer:
16q + 32r
Step-by-step explanation:
tanA - secA =
1. sinA-1/cosA
2. sin^2A-cosA
3. cos^2A-1/cosA
Please explain, don’t bother answering if you’re not going to explain. Ty!
Answer:
The answer is 2. sin2A-cosA. This can be seen by using the trigonometric identities sin2A=2sinAcosA and cos2A=cos2A-sin2A. The expression tanA-secA can then be simplified to sinA/cosA-1/cosA, which can be further simplified to (2sinAcosA-cos2A)/cosA, which can be further simplified to 2sinAcosA-cosA, which can finally be simplified to sin2A-cosA.
The ratio of credit card sales to cash sales at a store was 8:3. If the store had 144 cash sales, how many more credit card sales were there than cash sales?
Answer:
There were 240 more credit card sales than cash sales.
Step-by-step explanation:
By using the ratio 8:3 I was able to determine that if there were 144 cash sales that would mean that there would be 384 credit card sales. However, the question asks "How many more credit card sales were there than cash sales?" Meaning that we need to find the difference. 384-144= 240.
This means that there were 240 more credit card sales than cash sales.
Hope this helped! If you have any questions about what I did please comment!
And if this helped please mark brainliest!
Have a great day!!
1. Antonio sets his remote-controlled car at the start of the racetrack and starts its run on the track. His car stops 10m past the starting line. After he fixes a wheel, the car goes 2/5 the racetrack’s total distance and then stops for good. It is 38m from the starting line. How long is the racetrack? (a) Let x = the length of the racetrack. Write an equation that fits the story (b) Solve the equation from Part a. (How long is the racetrack?) Show your work. (c) How much farther did Antonio’s car have to go to the finish line? Show your work. Answer:
a) The equation that fits the story is given as follows:
2x/5 = 28.
b) The length of the racetrack is given as follows: 70 meters.
c) Antonio had to go 42 meters farther to reach the finish line.
How to obtain the length of the race track?The length of the race track is obtained applying the proportions in the context of this problem.
His car stops 10m past the starting line. After he fixes a wheel, the car goes 2/5 the racetrack’s total distance and then stops for good. It is 38m from the starting line, hence the distance driven during this entire period is of:
38 - 10 - 28 m.
28 m is 2/5 of the track length, which is going to be called x, hence the equation is given as follows:
2x/5 = 28.
The track length is then obtained as follows:
2x = 5 x 28
x = 5 x 14
x = 70 meters.
Thus the remaining distance is of:
70 - 28 = 42 meters.
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Mike can drive his car 66km on petrol worth Rs.384. How much money does he need to reach his hometown from Delhi by car distance between his hometown from Delhi=6006km
Answer:
Rs.34,944
Step-by-step explanation:
(6006 km)/(66 km) = 91
The distance from his hometown to Delhi is 91 times 66 km.
He will need 91 times the amount of petrol.
91 * Rs.384 = Rs.34,944
A=pir^2 solve for pi
Given problem;
A = \(\pi\) r²
Solve for π;
To solve for π implies that we make it the subject of the expression.
So;
A = π r²
Now multiply both sides by \(\frac{1}{r^{2} }\)
So;
A x \(\frac{1}{r^{2} }\) = \(\pi\) x r² x \(\frac{1}{r^{2} }\)
r² cancels out from the right side and leaves only π;
π = \(\frac{A}{r^{2} }\)
So \(\pi = \frac{A}{r^{2} }\)
Solve for y in terms of x.
3x = 2y-18
Answers??
Answer:
x=2/3y-6
Step-by-step explanation:
Let's solve for x.
3x=2y−18
Step 1: Divide both sides by 3.
3x/3=2y−18/3
x=2/3y−6