The molar solubility of lead fluoride in a 0.159 M lead nitrate solution is approximately 6.44 x 10⁻⁴ M.
The molar solubility of lead fluoride in a 0.159 M lead nitrate solution can be determined using the solubility product constant (Ksp) for lead fluoride. The solubility product constant represents the equilibrium constant for the dissolution of a sparingly soluble salt.
In this case, the solubility product constant (Ksp) for lead fluoride is given as 3.7 x 10⁻⁹. To find the molar solubility of lead fluoride, we need to consider the stoichiometry of the dissolution reaction.
The balanced equation for the dissolution of lead fluoride (PbF₂) is:
PbF₂(s) ⇌ Pb²⁺(aq) + 2F⁻(aq)
From the equation, we can see that one mole of lead fluoride produces one mole of lead ions (Pb²⁺) and two moles of fluoride ions (F⁻). Therefore, if the molar solubility of lead fluoride is represented by "x" moles per liter, the concentration of lead ions (Pb²⁺) will also be "x" M, and the concentration of fluoride ions (F⁻) will be "2x" M.
Since we are given that the concentration of lead nitrate (Pb(NO₃)₂) is 0.159 M, we can assume that the concentration of lead ions (Pb²⁺) is equal to the initial concentration of lead nitrate.
Using the solubility product constant (Ksp) expression, we can write:
Ksp = [Pb²⁺][F⁻]²
Substituting the concentrations in terms of "x" and "2x", we get:
3.7 x 10⁻⁹ = (x)(2x)²
3.7 x 10⁻⁹ = 4x³
Now, solve for "x" by taking the cube root of both sides:
x = (3.7 x 10⁻⁹)^(1/3)
x ≈ 6.44 x 10⁻⁴ M
Therefore, the molar solubility of lead fluoride is approximately 6.44 x 10⁻⁴ M.
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a decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: , , , and . are these probability assignments valid? explain.
Yes, the probability assignments given to the four outcomes of an experiment are valid. Probabilities are calculated subjectively, and the decision maker assigned probabilities to the four outcomes of the experiment, which is perfectly acceptable.
Probability is a numerical measure of the likelihood of an event occurring, ranging from 0 to 1.
An event that is certain to happen has a probability of 1, while an event that is impossible has a probability of 0. The probability of any other event lies somewhere between 0 and 1.
Probability assignments, which are subjectively determined probabilities, are valid as long as they meet the following criteria:
The probabilities assigned must be between 0 and 1. The sum of the probabilities assigned to all potential outcomes must be 1.In this case, the probability assignments are valid because they meet both of the above criteria. The probabilities assigned are between 0 and 1, and when the probabilities are added together, the sum is 1.
Therefore, the given probability assignments are valid.
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Complete the tables, and the graph… HELPPP
Answer:
answer is - 1
Step-by-step explanation:
- x + y = 3
x = 4
- ( - 4 ) + y = 3
4 + y = 3. take 4 to the right
y = 3 - 4
y = - 1
I hope this answers your question.
PLZZZZ answer LAST ONE ON TEST
Answer:
d
Step-by-step explanation:
With 59 nods, walt disney holds the record for most oscar nominations. Who has the second-most with 52?.
Walt Disney holds the record for the most Academy Award nominations with 59 nods, while Edith Head holds the second-most with 52 nominations.
Walt Disney is considered to be one of the greatest animators and film producers in the world. He received a total of 59 Oscar nods and is the record holder for the most Academy Award nominations of all time. This great achievement was attained from a career that spanned over four decades.
Disney's work had a tremendous impact on the American film industry. He is known for pioneering new techniques in the animation industry, which helped to create some of the most memorable and beloved characters of all time. These characters include Mickey Mouse, Donald Duck, and many others.
The second-most Oscar nominations belong to Edith Head, who received 52 nods during her career as a costume designer. She was known for her work in Hollywood's Golden Age, which spanned from the 1920s to the 1960s. Her collaborations with famous filmmakers such as Alfred Hitchcock, Cecil B. DeMille, and others earned her a well-deserved reputation as one of the most respected and talented costume designers in the industry.
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Which of the following is the function for the graph shown?
Answer: A. \(y = x^{2} + 6x + 8\)
Step-by-step explanation:
You can plug in the know point of (-3, -1) to each equation to see which one fits. The correct one in this case is \(y = x^{2} + 6x + 8\)
The radius of a circle is 9 m. Find its circumference in terms of pi.
Answer:
56.52m
Step-by-step explanation:
This is because pie is commonly substitued as 3.14 and since the formula of a cicumference is piRx2 it would be 56.52
The circumference of the circle is 18π meters.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
The circumference of a circle can be found using the formula:
C = 2πr
where r is the circle's radius and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting r = 9 m into the formula, we get:
C = 2π × 9
C = 18π m
Therefore,
The circumference of the circle is 18π meters.
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use the laplace transform to solve the given integral equation. f(t) + t (t − τ)f(τ)dτ 0 = t
f(t) = L^(-1){1 / (s^2 + s)} Inverse Laplace transform tables or techniques, determine the time-domain function f(t) that satisfies the given integral equation.
The Laplace transform is a powerful mathematical tool that can be used to solve complex integral equations, like the one you've provided: f(t) + t * ∫(t - τ)f(τ)dτ = t.
To solve this equation using the Laplace transform, follow these steps:
1. Apply the Laplace transform to both sides of the equation. The Laplace transform of f(t) is F(s), and the Laplace transform of t is 1/s^2. The integral equation becomes:
L{f(t)} + L{t * ∫(t - τ)f(τ)dτ} = L{t}
F(s) + L{t * ∫(t - τ)f(τ)dτ} = 1/s^2
2. Next, apply the convolution theorem to the integral term. The convolution theorem states that L{f(t) * g(t)} = F(s) * G(s). In this case, f(t) = t and g(t) = (t - τ)f(τ):
F(s) + L{t} * L{(t - τ)f(τ)} = 1/s^2
3. Now, substitute the known Laplace transforms for t and f(t):
F(s) + (1/s^2) * F(s) = 1/s^2
4. Combine the terms containing F(s):
F(s) * (1 + 1/s^2) = 1/s^2
5. Isolate F(s) by dividing both sides of the equation by (1 + 1/s^2):
F(s) = (1/s^2) / (1 + 1/s^2)
6. Simplify the expression for F(s):
F(s) = 1 / (s^2 + s)
7. Finally, apply the inverse Laplace transform to F(s) to obtain the solution for f(t):
f(t) = L^(-1){1 / (s^2 + s)}
Using inverse Laplace transform tables or techniques, you can determine the time-domain function f(t) that satisfies the given integral equation.
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Tim drives at an average speed of 80 km per hour for 3 hours 45 minutes.
Work out how many kilometres Tim drives.
Answer:
To solve this problem, we will use the following steps:
Step 1: Convert the minutes to hours by dividing the minutes by 60: 45 minutes / 60 = 0.75 hours
Step 2: Add the hours and minutes together to find the total time: 3 hours + 0.75 hours = 3.75 hours
Step 3: Multiply the total time by the average speed to find the distance: 3.75 hours * 80 km/hour = 300 km
Final Answer: Tim drives 300 km.
In circle O, MAXB = 250. What is mZAOB?
Answer:
Radius of a circle
Step-by-step explanation:
1. A line from the center of a circle to a point on the circle.
2. The distance from the center of a circle to a point on the circle.
Try this Drag the orange dot. The blue line will always remain a radius of the circle.
Answer:125
Step-by-step explanatio125
Triangles Q R S and A B C are shown. The lengths of sides Q R and A B are 16 centimeters. The lengths of sides R S and B C are 24 centimeters. Angles Q R S and A B C are right angles. Sides Q S and A C are parallel and identical to each other and there is space in between the 2 triangles.
Is there a series of rigid transformations that could map ΔQRS to ΔABC? If so, which transformations could be used?
No, ΔQRS and ΔABC are congruent but ΔQRS cannot be mapped to ΔABC using a series rigid transformations.
No, ΔQRS and ΔABC are not congruent.
Yes, ΔQRS can be translated so that R is mapped to B and then rotated so that S is mapped to C.
Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.
Answer:
the actual answer is D
Step-by-step explanation:
they are congruent lol, i also took the unit test and got 100 on edge
The transformation should be used that ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.
What is rigid transformation?A transformation that does not change the size or shape of a figure. The rigid transformation could be in the form of rotations, reflections, and even the translations.
Therefore, we can conclude that The transformation should be used that ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.
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Mr. johns invested in two businesses. Last year he gained 10% on the first investment and 12% on the second. If he invested $1000 more in the first business and gained a total of $6040 how much money did he invest in each business
Mr.johns invested money in each business is first business = $26909
and second business = $27909.
Given:
Last year he gained 10% on the first investment and 12% on the second if he invested $1000 more in the first business and gained a total of $6040.
Let x be the money invested in first business
From given statements:
10x/100 + (x + 1000)12/100 = 6040
multiply by 100 on both sides
10x + 12(x + 1000) = 6040*100
10x + 12x + 12000 = 604000
22x = 604000 - 12000
22x = 59200
x = 26909 invested in first business.
second business investment = 26909 + 1000 ⇒ 27909.
Therefore Mr.johns invested money in each business is first business = $26909 and second business = $27909.
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answer this fast please
Answer:
negative
Step-by-step explanation:
b is a negative number because it is less than -1, so b/5 is a negative number because negative/positive = negative
Answer:
b/5 is negative
Step-by-step explanation:
Since b < -1 b must be less than zero
You can also look at this as b < 0 so b is less than 0, b is negative
b/5 is negative
One fourth of a Number decreased by three is at least two.
Answer:
100
Step-by-step explanation:
1/4 of 100 is 25. 25-3=22, which is at least 2.
The length of each side of equilateral triangle T is 6 times the length of each side of equilateral triangle X.
Quantity A The ratio of the length of one side of T to
the length of another side of
Quantity B The ratio of the length of one side of X to
the length of another side of X
•A. Quantity A is greater.
• B. Quantity B is greater.
C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.
C. The two quantities are equal. We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.
Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:
To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.
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Given that y = 4x + c is a tangent to the function f(3) = 3x^2 - 8x + 6, find the value of c.
Find the surface area of the composite solid. Round your answer to the nearest hundredth 4ft 7ft 4ft 6ft
The surface area of the given figure is about 743.18 square feet.
The bottom most plane is a circle with radius 6 ft.
So the area of bottom most surface = 2π(6)² = 72π = 226.19 square ft. (Rounding to nearest hundredth)
The area of lateral surface of the bottom circular shape = 2π*6*4 = 150.80 square ft. (Rounding to nearest hundredth)
The surface area of top most pentagonal shape = (1/4)*√(5(5 + 2√5))*(4)² = 27.53 square ft. (Rounding to nearest hundredth)
The surface area of the contact surface of pentagonal and circular cylinder is = 226.19 - 27.53 = 198.66 square ft.
The surface area of lateral surface of pentagonal cylinder = 5*7*4 = 140 square ft.
So total surface area is about = 226.19 + 150.80 + 27.53 + 198.66 + 140 = 743.18 square ft.
Hence, surface area is about 743.18 square ft. (Rounding off to nearest hundredth).
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the velocity function for an object moving in a straight line is v(t) = t^2-t. find the displacement and the total distance traveled from time t = 0 to t = 2.
The total distance traveled from time t = 0 to t = 2 is 5/6 units.
To find the displacement and total distance traveled, we need to integrate the velocity function over the given time interval.
The velocity function is given as v(t) = t² - t.
To find the displacement, we integrate the velocity function over the interval [0, 2]:
∫[0,2] (t - t) dt
Let's integrate term by term:
∫[0,2] t² dt - ∫[0,2] t dt
Integrating term by term:
= (1/3)t³ - (1/2)t² | [0,2] - (1/2)t² | [0,2]
Now, substitute the limits of integration:
= (1/3)(2³) - (1/2)(2²) - (1/2)(2²) - (1/2)(0²)
= (8/3) - 2 - 2 - 0
= 8/3 - 4
= 8/3 - 12/3
= -4/3
So, the displacement from time t = 0 to t = 2 is -4/3 units.
To find the total distance traveled, we need to consider the absolute value of the velocity function. Since distance cannot be negative, we integrate the absolute value of the velocity function over the interval [0, 2]:
∫[0,2] |t² - t| dt
To calculate the integral of the absolute value function, we split the interval at the point where the function changes sign, which is t = 1. Then we integrate each part separately:
∫[0,1] (t² - t) dt + ∫[1,2] (t - t²) dt
Integrating the first part:
= (1/3)t³ - (1/2)t² | [0,1] - (1/2)t² + (1/3)t³ | [1,2]
Substituting the limits of integration:
= (1/3)(1³) - (1/2)(1²) - (1/2)(0²) + (1/2)(2²) - (1/3)(2³) + (1/2)(1²)
= 1/3 - 1/2 - 0 + 2/2 - 8/3 + 1/2
= -5/6
So, the total distance traveled from time t = 0 to t = 2 is 5/6 units.
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What is the unit rate of the graph seen below? Please explain it in Real World Terms.
The unit rate of the graph is 2 inches per hour of snowfall where X axis represents time in hours and Y axis represents snowfall in inches.
What is unit rate?
A unit rate is the rate of change in a relationship where the rate is per 1.
In a graph, change in y coordinate with respect to x is unit rate.
According to the given question:
X axis of the graph represents time in hours.
Y axis represents snowfall in inches
Therefore the given graph gives information about the height of snowfall per hour during Misty Mountain Storm.
From the given graph clearly 2 units of y changes 1 unit with respect to x
The coordinates can be related as (1, 2), (2, 4), (3, 6), (4, 8) and (5, 10) check the attachment below
Hence 2 inches of snow falls in 1 hour, 4 inches of snow falls in 2 hour, 6 inches of snow falls in 3 hour, 8 inches of snow falls in 4 hour and 10 inches of snow falls in 5 hour.
So, the unit rate of graph is 2 inches per hour of snowfall.
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What is the value of x?
Write an equation in slope-intercept form of the line containing the points (3,-1) and (6, 7).
=x-9
y=x-7
y = -x +9
y = 3x - 11
The equation in slope-intercept form of the line containing the points (3,-1) and (6, 7) is; y = ⁸/₃x - 7
What is the equation in Slope Intercept form?We are given the coordinates of two points as;
(3,-1) and (6, 7).
Now, the formula for the equation of the line containing the two points in slope intercept form is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Thus, we have;
(y + 1)/(x - 3) = (7 + 1)/(6 - 3)
(y + 1)/(x - 3) = = 8/3
y + 1 = (8/3)(x - 3)
y + 1 = ⁸/₃x - 8
y = ⁸/₃x - 7
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solve the given differential equation by separation of variables. dy dx = xy 7x − y − 7 xy − 2x 8y − 16
The solution to the given differential equation is y = 2x.
To solve the differential equation dy/dx = (xy - 7x - y - 7) / (xy - 2x - 8y - 16) by separation of variables, we can rearrange the equation as follows:
(dy - y - 7)/(y - 8) = (dx - x - 7)/(x - 2)
Now, we can integrate both sides of the equation with respect to their respective variables.
∫(dy - y - 7)/(y - 8) = ∫(dx - x - 7)/(x - 2)
This leads to the following integral equations:
ln|y - 8| = ln|x - 2| + C1
ln|y - 8| = ln|x - 2| + C2
where C1 and C2 are constants of integration.
Taking the exponential of both sides, we have:
|y - 8| = |x - 2| * e^(C1) and |y - 8| = |x - 2| * e^(C2)
Since e^(C1) and e^(C2) are both positive constants, we can combine them into a single constant k:
|y - 8| = k * |x - 2|
Now we consider the two cases: y - 8 = k * (x - 2) and y - 8 = -k * (x - 2)
In the first case, we have y - 8 = k * (x - 2), which simplifies to y = kx - 2k + 8.
In the second case, we have y - 8 = -k * (x - 2), which simplifies to y = -kx + 2k + 8.
Combining both cases, we can rewrite the solutions as y = kx - 2k + 8 and y = -kx + 2k + 8.
To find the specific solution, we can use the initial condition y(0) = 2. Substituting this into the equation, we get:
2 = -2k + 8
Solving for k, we find k = 3.
Substituting k = 3 back into the solutions, we obtain y = 3x + 2.
Therefore, the solution to the given differential equation is y = 3x + 2.
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Among the 20 prates of the Flightless Folly crew. 4 of them own a pet crab each. What percentage of prates on board the ship own a pet crab?
We need to find the percentage of prates own a pet crab
There are 20 prates
4 of them own pet
Then we need the percent of 4 out of 20
We will divide 4 by 20 and multiply the answer by 100%
\(\frac{4}{20}\times100\)We will simplify it
\(\frac{1}{5}\times100=20\)The percentage of prates on the ship own a pet is 20%
Which equations and/or functions represent the graphed line? Select three options.
Answer:
1) A linear function can be used to represent a line graphed on a chart if there is a straight-line relationship between the x and y variables. It is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
2) A polynomial function can be used to represent a line graphed on a chart if the relationship between the x and y variables is more complex and not linear. It is represented by the equation y = ax^n + bx^(n-1) +...+ z, where a, b, ... , z are constant coefficients.
3) An exponential function can be used to represent a line graphed on a chart if the relationship between the x and y variables is exponential. It is represented by the equation y = ab^x, where a and b are positive constants.
is it true that decimals that are converted to fractions should never be reduced
Answer:
No
Step-by-step explanation:
See take 0.2 for example
In fraction it is 2/100 which can be easily reduced and should be reduced depending on the type of question.
1/50 would be the answer for my example.
Find the volume of the prism in terms of y.
is there a value to y? if not, this is what I got:
Y^2 + 2y + 3
Find the product of –1.5x and –0.25x.
Answer:
0.375x^2
Step-by-step explanation:
(-1.5x)(-0.25x)
= (-1.5)(0.25)(x)(x)
= 0.375x^2
please solve this question 2/3 + 5/7
Answer:
Answer in the screen shot
Step-by-step explanation:
You're welcome.
Suppose that the given statement is true.
If Mia goes to the mall, then Justin likes pretzels.
Which statement must also be true?
Answer:
i think that the last one would make more sense "If mia doesn't go to the mall, Justin doesn't like pretzels". Im not 100% sure tho
Find parallel lines which pair of line are paraelle
Answer:
Parallel lines are like a square. all sides of a square are parallel.
Step-by-step explanation:
Answer:
Parallel lines are lines that will never clash into one another. Like a rectangle is a shape with parallel lines.
Step-by-step explanation:
Can someone help me find the answer to this question fast please
Step-by-step explanation:
parallel lines must have the same slope. otherwise they would not be parallel.
but, if they are not identical (and not purely vertical lines), they must have different y-intercepts.
so, the second answer is correct (they have the same slopes).