Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2

The probability of selecting a permutation in which 1 precedes 2 among all permutations of {1, 2, ..., n} (where n ≥ 4) is 31​.

To find the probability, we need to determine the total number of permutations in which 1 precedes 2 and divide it by the total number of permutations of {1, 2, ..., n}. Let's consider the condition that 1 precedes 2. In any permutation, there are (n-2)! ways to arrange the remaining numbers {3, 4, ..., n}. Once we fix the positions of 1 and 2, we have 2! ways to arrange them among themselves. Therefore, the total number of permutations in which 1 precedes 2 is (n-2)! * 2!.

The total number of permutations of {1, 2, ..., n} is n!.

Hence, the probability of selecting a permutation where 1 precedes 2 is ((n-2)! * 2!) / n!.

Let's substitute n = 4 into the equation. In this case, we have ((4-2)! * 2!) / 4! = (2! * 2!) / 4! = 4 / 24 = 1/6 = 31​.

Therefore, the probability of selecting a permutation in which 1 precedes 2 is 31​.

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Solving the provided question, we can say that Pythagorean theorem to find the length of the paper as follows \(9.9^2 = 9.2^2 + (length)^2\) => length = 3.656 inches

The Pythagorean Theorem, sometimes known as the Pythagorean Theorem, is the basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides. The Pythagorean Theorem, often known as the generic algebraic notation a2 + b2 = c2, states that the square that crosses the hypotenuse of a right triangle opposite the right angle equals the sum of the squares that span the sides of a right triangle.

the Pythagorean theorem to find the length of the paper as follows:

\(9.9^2 = 9.2^2 + (length)^2\\length = \sqrt{9.9^2 - 9.2^2} \\length = \sqrt{98.01 - 84.64}\\ length = \sqrt{13.37} \\\)

length = 3.656 inches

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The risk of owning a home in Randolph County based on the given sample can be calculated as:

Risk of owning a home = Number of residents who own a home / Total number of residents in the sample

Risk of owning a home = 59 / 90

Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.

Answer:

23

Step-by-step explanation:

25-14 = 11

11+12=23

that would be your answer

the silver ion concentration for a saturated solution of Ag₂CO₃ is 2.6 x 10⁻⁴ M.

To find the silver ion concentration for a saturated solution of Ag₂CO₃, we need to use the Ksp expression, which is given as Ksp = [Ag₂CO₃] = [Ag+]2[CO₃₂-].Here, the value of Ksp for Ag₂CO₃ is given as 8.4 x 10⁻¹². So, Ksp = [Ag+]2[CO32-] = 8.4 x 10⁻¹² We need to find [Ag+] concentration. Let's assume the solubility of Ag₂CO₃ is s. Now, we know that 1 Ag₂CO₃ molecule releases 2 Ag+ ions in the solution. Therefore, the concentration of Ag+ ions will be 2s. Hence, [Ag+]2 = (2s)2 = 4s2. Now, substituting the value of [Ag+]2 and Ksp in the Ksp expression, we get:4s2 x [CO32-] = 8.4 x 10⁻¹² solving for s gives: s = √(Ksp/[Ag+]2) = √(8.4 x 10⁻¹²/4) = 1.3 x 10⁻⁴  Therefore, [Ag+] = 2s = 2 x 1.3 x 10⁻⁴ = 2.6 x 10⁻⁴M. Hence, the silver ion concentration for a saturated solution of Ag₂CO₃ is 2.6 x 10⁻⁴  M.
To find the silver ion concentration in a saturated solution of Ag2CO3, you need to first set up the equilibrium expression using the solubility product constant (Ksp) and the concentrations of ions in the solution.

The balanced equation for the dissolution of Ag₂CO₃ is:

Ag₂CO₃(s) ⇌ 2Ag+ (aq) + CO₃²- (aq)

Let s be the solubility of Ag2CO3 in mol/L. Then the concentration of Ag+ ions is 2s, and the concentration of CO₃²- ions is s.

The Ksp expression for this reaction is:

Ksp = [Ag+]² [CO₃²-]

Substitute the ion concentrations in terms of s:

Ksp = (2s)² × (s)

Given that Ksp = 8.4 x 10⁻¹², the equation becomes:

8.4 x 10⁻¹² = (4s²)(s)

Simplify and solve for s:

8.4 x 10⁻¹² = 4s³

s³ = (8.4 x 10⁻¹²) / 4

s³ = 2.1 x 10⁻¹²

s = (2.1 x 10⁻¹²)⁽¹/³⁾

s ≈ 1.3 x 10⁻⁴

Now that you have the value for s, you can find the silver ion concentration:

[Ag+] = 2s = 2(1.3 x 10⁻⁴ ) = 2.6 x 10⁻⁴

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Answer:

704π m^2

Step-by-step explanation:

Given data

radius r= 16m

Slant height l= 28m

Required

The surface area of the cone

The expression for the surface area is given as

T.S.A=πrl+πr^2  

substitute

T.S.A=π*16*28+π*16^2

T.S.A=448π+256π

T.S.A=704π m^2

Hence the T.S.A is 704π m^2

Answer:

Order is important: If allowed 11881376

Order is important:If rep. Is not allowed 7893600

Step-by-step explanation:

If the order isnt important and repetition is not allowed 65780

If order isn’t important and repetition is allowed 142506

Answer:

??

I need more context.

;-;

Answer:

im not sure wish i could help

Step-by-step explanation:

Answer:

P(A)=0.75

Step-by-step explanation:

I think you already have your answer. If this is all the information given in the problem, there is nothing more to do.

Answer:

Min:  3

Q1:  7

Med:  10

Q3:  13

Max:  16

Step-by-step explanation:

It is a first step because the mean and standard deviation of the sample is needed to calculate the mean and standard deviation of the sampling distribution.

The mean and standard deviation of x are necessary to approximate the sampling distribution of the sample mean by a normal distribution because they provide the parameters of the normal distribution. The mean and standard deviation of the sampling distribution of the sample mean can be estimated by the sample mean and standard deviation of the population.

This is known as the Central Limit Theorem, which states that the sampling distribution of the sample mean will approximate a normal distribution as the sample size increases. The mean and standard deviation of x provide the basis for this approximation.

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Answer:

2(4x+3)=10x-2

8x+6=10x-2

6+2=10x-8x

8=2x

x=8/2=4

Answer:4

Step-by-step explanation:

The value of (3.2)(3.2^2)^4 is 3.2^9

The expression is given as:

(3.2)(3.22)4.

Rewrite properly as:

(3.2)(3.2^2)^4

Evaluate the product of the exponents

(3.2)(3.2^8)

Apply the law of indices

3.2^(1 + 8)

This gives

3.2^9

Hence, the value of (3.2)(3.2^2)^4 is 3.2^9

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Answer: 3.2^9

Step-by-step explanation: I took the test and got it right

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer:

Many solutions

Step-by-step explanation:

If it is manipulated, you simply get:

2x + 2x + 2 = 4x + 2

0 = 0

So, there are infinitely many solutions, as anything you plug in for x will be canceled as there are 4 x's on both sides.

The measure of the smallest interior angle in the isosceles trapezoid is 36 degrees.

In an isosceles trapezoid, the two non-parallel sides are congruent, which means they have the same length. Let's denote the measure of the smallest interior angle as x degrees. According to the given information, the largest interior angle is 4 times the measure of the smallest interior angle.

We can set up the equation:

4x = 180 - 2x

Simplifying the equation:

4x + 2x = 180

6x = 180

Dividing both sides of the equation by 6:

x = 30

Therefore, the measure of the smallest interior angle in the isosceles trapezoid is 30 degrees.

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Answer:

d. 6

Step-by-step explanation:

Given, a-5> -1

Both sides add 5, and we get

a > 4

So a is 6.

Answer:

Width, b = 2.14 cm

Step-by-step explanation:

Given that,

The area of the rectangle = 22.5 cm

Length, l = 10.5

Width, b = (x+0.6)cm

We need to find the width of the rectangle. The area of a rectangle is given by :

A = lb

So,

22.5 = 10.5(x+0.6)

22.5 =10.5x+6.3

22.5-6.3 = 10.5 x

16.2 = 10.5x

x = 16.2/10.5

x = 1.54 cm

Width, b = (1.54+0.6)cm

= 2.14 cm

So, the width of the rectangle is 2.14 cm.

You have to solve the following equation

After you use the quadratic formula you would get

t=2.2

That would be the final answer

t=2.2

Answer:

0.8

Step-by-step explanation:

0.8°

Unit rates let us find change over time.

Unit Rate

A unit rate is a fraction or another form of rate with a denominator of 1. This means the rate is given per 1 unit. For example, the rate for this question is in degrees/ hours. So, the unit rate will be x degrees per 1 hour. The unit rate is the way of expressing how the temperature changes over time.

Finding Change in Temperature

We know that the temperature increases by 4.8 degrees in 6 hours. So, to find the change in temperature in one hour, divide by 6. This will give the rate per one hour, aka the unit rate.

This means that the temperature is increasing by 0.8 degrees per hour.

Answer:

7.50 + 14P < 60; 24 slices

Step-by-step explanation:

The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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Answer:

commutative

Step-by-step explanation:

im pretty sure this is correct but sorry if im wrong

Morse's monthly budget is a surplus of $1,241. Morse's budget is a good example of how budgeting.

A budget helps to ensure that money is allocated properly and  resources are used efficiently. It can also help to monitor and control spending, prioritize needs, and set goals.

This is calculated by subtracting his fixed and living expenses of $4,247 ($3,783 + $464) from his annual net income of $36,451.

$36,451 - $4,247 = $32,504

This gives Morse a total of $32,504 to spend over the course of the year, or $2,709 a month.

When this amount is subtracted from his annual net income, it gives a surplus of $1,241 per month.

$36,451 - $32,504=  $1,241

Morse's budget is a good example of how budgeting can be used to ensure that all expenses are covered and that there is a surplus at the end of the year.

By planning his budget in advance and sticking to it, Morse can ensure that he has enough money to cover all of his expenses and still have a surplus at the end of the year. This ensures that he has enough money to cover unexpected costs or to save for the future.

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Cuanto espanol debo saber?

(Ademas, estoy bien)

Answer:

yo hablo ingles ok no :vo

Step-by-step explanation: