Let A = {1,5, 17,21} and B =
{3,4,6,10). R SAXB, R = {(1,3).(5,6),(5,10),(21,6)}
What are 1, 5, and 21 related to? What is domain, codomain, and range of R?
a.

Answer:

$-14

Step-by-step explanation:

4(20)= 80

30+80= -110

-110+96

-14

Step-by-step explanation:

taking money from his account is a minus operation. it lowered the balance.

adding money (like a deposit) is a plus operation. it increases the balance.

so, he did

-4×20 - 30 + 96 = -80 - 30 + 96 = -14

his balance decreased by $14 over this week.

Answer:

1. 7.8

2. -1/5

3. -16.2

4. -25/8

Step-by-step explanation:

-

Answer:

7.8

-0.2

-16.2

-3.125

I really hope it helps

ps: from ultra instinct Giga Chad

Answer:

y=1/3x-3

Step-by-step explanation:

Slope intercept form is: y=mx+b

so you need to leave y on one side and the others on the other side:

First, you need to move the x to the other side by subtracting x on both sides:

x-x-3y=-x+9

Simplify:

-3y=-x+9

Now you divide -3 on both sides to eliminate the -3 on -3y:

y=1/3x-3

Hope this helps!

Answer:

associative property which is basically saying if 208+499=499+208 then 499+208=208+499

Answer:

Option C

The answer is 46°

Step-by-step explanation:

Here,

Supplementary angles are two angles whose measures add up to 180°.

Let the number be x

x + 134° = 180°

x + 134° – 134° = 180° – 134

x = 46°

Thus, The measure of its supplement is 46°

-TheUnknownScientist 72

Answer:

Step-by-step explanation:

is a 18 and 27 yes to the following question

a) 18 = 2 x 3^2

    27 = 3^3

-> HCF = 3^2 = 9

b) 35 = 5 x 7

    75 = 3 x 5^2

-> HCF = 5

c) 144 = 2^4 x 3^2

   360 = 2^3 x 3^2 x 5

-> HCF = 2^3 x 3^2 = 72.

d) 30 = 2 x 3 x 5

    40 = 2^3 x 5

    45 = 3^2 x 5

-> HCF = 5

e) 144 = 2^4 x 3^2

    384 = 2^7 x 3

    432 = 2^4 x 3^3

-> HCF = 2^4 x 3 = 48.

In a given study that the null hypothesis asserts the expected value of a phenomenon is 100 resulting in a 95% confidence interval reported as [98.76, 105.24], then we fail to reject the null hypothesis.

Therefore the answer is d) Fail to reject the null hypothesis.

A 95% confidence interval is a range of values that there is a 95% chance that the true value of a population parameter falls within. In this case, the 95% confidence interval is [98.76, 105.24], which includes the expected value of 100 that is stated in the null hypothesis.

Therefore, we fail to reject the null hypothesis because the data does not provide sufficient evidence to suggest that the true value of the population parameter is different from what is stated in the null hypothesis.

It's worth to mention that, Failing to reject the null hypothesis doesn't mean accepting it, it means that we don't have enough evidence to say that the parameter is different from the null hypothesis, it could be due the sample size, or other factors.

--The question is incomplete, complete question is as follows--

"Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 100. A research study results in a 95% confidence interval reported as [98.76, 105.24]. What decision would you make based on this confidence interval?

a) A decision cannot be made on a confidence interval; a hypothesis test is required.

b) Retain the null hypothesis.

c) Reject the null hypothesis.

d) Fail to reject the null hypothesis."

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The Correct Answer Is:  High-strength sports.

explanation:

Because for wrestling you have to use, you're strength. (And I just did the exam and I got it wrong for choosing the wrong answer, so I believe it's my answer. !!so, it's not high-power sports)

I hope it helps you!

:)

Answer:

(x+9)(x+3)

x*x = x^2

x*3 = 3x

9*x = 9x

9*3 = 27

Answer = x^2 + 12x + 27

Hope this helps

Answer:

x^2+12x+27

Step-by-step explanation:

have a nice day:)

Linear transformation of a matrix is discussed below.

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Given is to discuss the linear transformation of a matrix.

Therefore, linear transformation of a matrix is discussed above.

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The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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The number of bowls of clay that is left will be 8/5 lb.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

kai is using clay to make bowls. Each bowl uses 4/5 Ib of clay.

Kai has 2²/₅ Ib of clay.

Then the amount of clay that is left will be

⇒ 2²/₅ - 4/5

⇒ 12/5 - 4/5

⇒ (12 - 4) / 5

⇒ 8/5

The amount of clay that is left will be 8/5 lb.

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The Edit Distance Algorithm is an important concept in computer science. The algorithm compares two strings and finds the minimum number of operations (insertions, deletions, and substitutions) that are required to transform one string into the other.

Below is the solution to the given question:

X = (B, A, N, A, N, A)      

Y = (P, A, N, D, O, R, A)

Table to compute Edit Distance:

P A N D O R A 0 1 2 3 4 5 6 B 1 1 2 3 4 5 6 A 2 1 2 3 4 5 6 N 3 2 1 2 3 4 5 A 4 3 2 3 4 5 6 N 5 4 3 2 3 4 5 A 6 5 4 3 4 5 4

The table shown above contains the minimum number of operations required to transform one string into the other. The top row represents string Y, and the left column represents string X. The table is filled using the following formula: If the characters at the current position are the same, then the value is taken from the diagonal element. (In this case, no operation is required.)

If the characters are different, then the value is taken from the minimum of the three elements to the left, above, and diagonal to the current element. (In this case, the operation that produces the minimum value is chosen.)

From the table above, the optimal solution can be found by tracing back the path that produced the minimum value. Starting from the bottom right corner, the path that produces the minimum value is:

A  -> R (Substitution)

O -> O (No operation)

D -> N (Substitution)

N -> A (Substitution)

A -> A (No operation)

P -> B (Substitution)

Therefore, the optimal solution is to substitute A with N, N with D, A with N, and P with B. So, (B, A, N, A, N, A) can be transformed into (P, A, N, D, O, R, A) using four operations.

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To find the list price of a flat-screen TV given a 19.5% discount that amounts to $490, we can calculate the original price by using the information provided.

Let's denote the list price of the flat-screen TV as x. We know that a 19.5% discount on the list price amounts to $490. This means that the discounted price is equal to 100% - 19.5% = 80.5% of the list price. Mathematically, we have:

0.805x = x - $490

Simplifying the equation, we have:

0.805x - x = -$490

Combining like terms, we get:

-0.195x = -$490

To solve for x, we divide both sides of the equation by -0.195:

x = (-$490) / (-0.195)

Dividing -$490 by -0.195, we find:

x = $2,512.82

Therefore, the list price of the flat-screen TV is approximately $2,512.82.

In conclusion, the list price of the flat-screen TV is approximately $2,512.82.

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Answer:

20 > 8+3g

Step-by-step explanation:

Answer:D

Step-by-step explanation:

For products that need to be useful, practical and work, a celebrity endorsed product would not be what I would count on as far as quality and performance.

Answer:

   D

Step-by-step explanation:

Source: Trust me bro

Answer:

the value of n is 9

Step-by-step explanation:

7:2=each interior angle/each exterior angle

7:2= (n-2)180/360

7/2=(n-2)/2

14=2n-4

2n=18

n=9

If you test for the difference between the means of two independent samples, there is  n1 + n2 - 1 degrees of freedom.

When testing for the differences between the means that exist between two independent populations that has the variances in all of their population which is still unknown but said to be equal, the degrees of freedom will be:

n1 + n2 - 1.

Therefore, If you test for the difference between the means of two independent samples, there is  n1 + n2 - 1 degrees of freedom.

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Answer:

a) Like

b) Unlike

c) Like

d) Unlike

e) Unlike

f)  Unlike

g) Like

h) Like

Step-by-step explanation:

Like and unlike terms is about whether the two terms can be combined. X and 2x are like terms because you can use elementary operations (addition and subtraction) on them.

==============================================

Explanation:

We have a proportion in the form:

A/B = C/D

where,

Each is measured in feet.

In this case,

Let's solve for D.

A/B = C/D

18/6 = 15/D

3 = 15/D

3D = 15

D = 15/3

D = 5

Ariadne is 5 feet tall.

Answer:

Step-by-step explanation:

Hi there! Just multiply by x and find the value of f=p. Good luck!

Answer:

Part A

The addition equation that gives Amber's total running time is presented as follows;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr  + 5/12 hr

Part B

Amber's total running time = 5/6 hr = 50 minutes

Step-by-step explanation:

Part A

The given parameters are;

The time duration Amber first ran = 10 min = 1/6 hr

The time duration Amber walks in between = 5 min = 1/12 hr

The increase in the number of minutes Amber runs in subsequent times = 5 min = 1/12 hr

Therefore, the Amber's total time is given as follows;

1/6 hr + 1/12 hr + (1/6 + 1/12) hr + 1/12 hr + x hr = 1 hr

7/12 hr + x hr = 1 hr

x hr = 1 hr - 7/12 hr  = 5/12 hr

x = 5/12

Therefore, her total running time is given by the following addition equation;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr  + 5/12 hr

Part B

Therefore her total running time is given as follows;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr  + 5/12 hr = 5/6 hr = 50 minutes

the separable differential equation dy/dx = (1/x)x\(y^{3}\), with the initial condition y(1) = 2, is given by y = \((2x^{2}) ^{1/4}\)

To solve the separable differential equation, we start by separating the variables. We can rewrite the equation as dy/\(y^{3}\) = (1/x)dx. Next, we integrate both sides of the equation. The integral of dy/\(y^{3}\) can be computed as (-1/2)\(y^{-2}\), and the integral of (1/x)dx is ln|x|. Applying these integrals, we have (-1/2)\(y^{-2}\) = ln|x| + C, where C is the constant of integration.

Now, we apply the initial condition y(1) = 2 to determine the value of C. Substituting x = 1 and y = 2 into the equation, we get (-1/2)(1/4) = ln|1| + C. Simplifying this expression gives C = -5/4.

Substituting the value of C back into the equation, we have (-1/2)\(y^{-2}\) = ln|x| - 5/4. Rearranging the equation, we get \(y^{-2}\) = -2ln|x| + 5/2. Taking the reciprocal of both sides gives \(y^{2}\) = 1/(-2ln|x| + 5/2).

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Answer:

Step-by-step explanation:

2/1 = (2+x)/2 cross multiply

4 = 2+x subtract 2 from both sides

2=x

The estimated solution of the system 3x + y = 10 and y = 6x + 1 is (1, 7)

An equation is used to show the relationship between numbers and variables.

The standard form of a linear equation graph is:

y = mx + b

Where m is the slope of the line and b is the y intercept.

Given the linear equation:

3x + y = 10

y = -3x + 10   (1)

y = 6x + 1     (2)

Subtracting equation 2 from 1 to solve using elimination method gives:

0 = -9x + 9

9x = 9

x = 1

put  x = 1 in eqn 2:

y = 6(1) + 1

y = 7  

The solution is (1, 7)

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To determine the angle from the vernal equinox to the station at the time of measurement, we need to use the following formula:

Angle = (Sidereal Time at Greenwich + Longitude of the Station - Hour Angle of the Object) * 15 degrees/hour

First, we need to determine the Hour Angle of the Object, which is the amount of time since the object (in this case, the radar measurement) passed over the Greenwich meridian. We know that the radar measurement occurred 2.8 hours after noon on January 1, so the Hour Angle of the Object is:

Hour Angle = 2.8 hours * 15 degrees/hour = 42 degrees

Next, we can plug in the values we know into the formula:

Angle = (100 degrees + (-4 degrees) - 42 degrees) * 15 degrees/hour
Angle = 54 degrees * 15 degrees/hour
Angle = 810 degrees/hour

Therefore, the angle from the vernal equinox to the station at the time of the radar measurement is 810 degrees/hour.

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The probability of a sample mean of 220 is being greater when the values μ = 210 and α = 35.

μ = 219

σ = 3.5

n = 70

X = 220 (sample mean)

The standard error  can be calculated as:

standard error = σ / \(\sqrt{n}\)

standard error = 3.5 / \(\sqrt{70}\)

standard error = 0.4183

The Z-score will be calculated by using the formula:

z = (X - μ) / SE

z = (220 - 219) / 0.4183

z = 2.3881

The value of Z at  2.3881 is 0.87% by using the standard normal distribution table.

Now let us calculate the second part where μ = 210 and α = 35.

μ = 210

σ = 35

n = 70

X = 220 (sample mean)

The standard error can be calculated as:

SE = σ / \(\sqrt{n}\)

SE = 35 /  \(\sqrt{70}\)

SE = 4.1833

Now, the z score will be calculated as:

z = (X - μ) / SE

z = (220 - 210) / 4.1833

z = 2.3894

The value of Z at 2.3894 is  0.86% by using the standard normal distribution table.

Therefore we can conclude that the probability of a sample mean of 220 is greater when μ = 210 and α = 35.

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The probability that the answerof the 1st question is correct is 1/15.

So, the probability of the correct answer:

Probability formula: P = Favourable events/Total events

Where total events are 15 and favorable event is 1.

Now calculate as follows:

Therefore, the probability that the answerof the 1st question is correct is 1/15.

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Step-by-step explanation:

As I do not have the work shown to calculate the number of ways to choose the passengers, I cannot identify the specific error made. However, I can provide some insight on how to approach this type of problem correctly.

When choosing 2 people from a group of 10, we can use combinations, which are denoted as "n choose k" and represented by the formula:

n choose k = n! / (k! * (n-k)!)

where n is the total number of items in the group and k is the number of items to be chosen.

In this case, we want to choose one passenger for first class and one passenger for coach. Therefore, we can separate the group of 10 into two subgroups: one subgroup with 1 person (for first class) and another subgroup with 9 people (for coach).

Using combinations, we can calculate the number of ways to choose 1 person from the subgroup of 1 and 1 person from the subgroup of 9:

(1 choose 1) * (9 choose 1) = 1 * 9 = 9

Therefore, there are 9 ways to choose the passengers to fill the seats.