[35 Points!] Answer this for me! ill give you brainly! xo :)

(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

Learn more about Set:

brainly.com/question/28492445

#SPJ11

The larger number is 8 and the smaller number is -4.

Let us assume that the larger number is x and the smaller number is y.

Now according to the question:

The sum of two numbers is 4, so

x+y= 4....(1)

A two-variable linear equation has two variables and can be represented as: ax+by=c

Here x and y are the variables, a and b are the respective cofficients of the variables and c is a constant term.

And the larger number is 12 more than three times the smaller number.

So

x=y+12 ...(2)

By equation (1) and (2)

y+12+y=4

2y= 4-12=-8

y = -4

Now put the value of y in equation (2)

x= y+12=-4+12=8

So the larger number is 8 and the smaller number is -4.

For such more questions about solving problems by using equations:

https://brainly.com/question/29555836

#SPJ4

The statement that is NOT equivalent to the others is option c. "P(0) = r."

In the context of polynomials, a factor of a polynomial is a term or expression that divides evenly into the polynomial. So, if (x - r) is a factor of P(x), it means that when P(x) is divided by (x - r), the remainder is zero. This is equivalent to saying that r is a zero or root of the polynomial P(x). In other words, if r is a zero of P(x), then P(r) = 0.

Option c, on the other hand, states that P(0) = r. This means that when x is equal to zero, the value of the polynomial P(x) is equal to r. This statement does not provide any information about whether (x - r) is a factor of P(x) or if r is a zero of P(x). It simply relates the value of the polynomial at x = 0 to the constant value r.

To summarize, options a, b, and d are equivalent because they all refer to the fact that r is a zero of the polynomial P(x), while option c does not provide the same information and is therefore not equivalent to the others.

To learn more about polynomial : brainly.com/question/11536910

#SPJ11

The true velocity of the vector of drone is V = -4i + 4j

Given data ,

Let the velocity of a drone relative to the air is modeled by v = 3i - j

Now , the drone encounters wind with velocity modeled by w = -7i + 5j

And , The true velocity vector of the drone, taking into account both the velocity of the drone relative to the air and the velocity of the wind, is the vector sum of the drone's velocity and the wind's velocity.

Given the velocity of the drone relative to the air as v = 3i - j, and the velocity of the wind as w = -7i + 5j, we can add these vectors together to obtain the true velocity vector of the drone:

v + w = (3i - j) + (-7i + 5j)

To add vectors, we add their corresponding components. In this case, adding the i-components and j-components separately, we get:

(3i - 7i) + (-1j + 5j) = -4i + 4j

Hence , the component vector is V = -4i + 4j

To learn more about component form of vector click :

https://brainly.com/question/25138765

#SPJ7

Answer: The moon

Step-by-step explanation:

The cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ The volume of the cone (V )= 1/3πhr²

The number of faces of a regular cone is one, which we may partition vertically into two halves.

This means one base face and lateral face

Now, the number of faces in one half equals the number of faces in the original form.

This meets the conditions outlined in the question.

So, the cone is a solid form.

Thus, the cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

Learn more about the volume of the cone here:

brainly.com/question/1578538

#SPJ2

Answer:

i think you have to explain what we did work on...

Step-by-step explanation:

Answer: just say what comes up to your head it works the best

Step-by-step explanation:

The design ideas from three different firms are:

Based on the three design ideas above, the recommended one that firm should be chosen to develop its idea into a full design proposal is the The Clever Billboard in Korea - Provides luxury Lifestyle as well as website design, hotel marketing, social media management. This is because it is one that encompasses different kinds of business venture.

Therefore, The design ideas from three different firms are:

Learn more about design ideas from

https://brainly.com/question/2501083

#SPJ1

The limit of Riemann sums using right endpoints for the integral ∫[5, 6] x² dx is 25.

To express the integral ∫[5, 6] x² dx as a limit of Riemann sums using right endpoints, we divide the interval [5, 6] into n sub-intervals of equal width:

Δx = (6 - 5) / n = 1 / n

The right endpoint of the ith sub-interval is:

xi = 5 + iΔx

Using right endpoints, the Riemann sum approximation of the integral is:

Σ[i=1 to n] f(xi) Δx

where f(x) = x²

Substituting xi into f(x), we get:

f(xi) = (5 + iΔx)²

Substituting this into the Riemann sum approximation, we get:

Σ[i=1 to n] (5 + iΔx)² Δx

= Δx (Σ[i=1 to n] (5 + iΔx)²)

= Δx (Σ[i=1 to n] (25 + 10iΔx + i²Δx²))

= Δx (25Σ[i=1 to n] 1 + 10ΔxΣ[i=1 to n] i + Δx^2Σ[i=1 to n] i^2)

= Δx (25n + 10Δx(n(n+1)/2) + Δx²(n(n+1)(2n+1)/6))

Taking the limit as n approaches infinity, we get:

lim[n → ∞] Δx (25n + 10Δx(n(n+1)/2) + Δx²(n(n+1)(2n+1)/6))

= lim[n → ∞] (1/n) (25n + 10/n ((n(n+1)/2)) + 1/n² ((n(n+1)(2n+1)/6)))

= lim[n → ∞] (25 + 5/n + 1/n²(2 + 3/n))

= 25

Therefore, The integral as a limit of Riemann sums is 25.

To practice more questions related to Riemann sums:

https://brainly.com/question/9043837

#SPJ11

The critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514.

The critical value, zα/2, is the z-score that cuts off an area of α/2 in the tails of the standard normal distribution. In other words, it represents the number of standard deviations away from the mean that corresponds to a particular level of confidence.

To find the critical value for a 87% confidence level, we first need to determine the area that is left in the tails of the distribution. Since the confidence level is 87%, the area in the middle of the distribution is (1 - 0.87) = 0.13. We then divide this area in half to get the area in each tail, which is 0.065.

Using a standard normal distribution table or a calculator, we can find that the z-score that cuts off an area of 0.065 in one tail is approximately 1.514. Therefore, the critical value, zα/2, is:

zα/2 = ±1.514

However, since we want to find the z-score that corresponds to the middle 87% of the distribution, we need to add the absolute value of this number to the mean of the distribution, which is 0. This gives us:

zα/2 = |1.514| = 1.514

Therefore, the critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514

To know more on critical value

https://brainly.com/question/30168469

#SPJ4

--The question is incomplete, answering to the question below--

"Find the critical value, zα/2 that corresponds to the given confidence level 87​%"

The probability that both randomly chosen people own a dog can be calculated using the concept of independent events. If 18% of people own dogs, it means that the probability of a person owning a dog is 0.18.

When picking the first person, there is a 0.18 probability that they own a dog. Now, assuming replacement (putting the person back before picking the second person), the probability that the second person also owns a dog is also 0.18.

To find the probability of both events occurring, we multiply the individual probabilities together: 0.18 * 0.18 = 0.0324.

Therefore, the probability that both randomly chosen people own a dog is 0.0324, which is equivalent to 3.24%. This means that if we were to repeat this random selection process many times, we would expect approximately 3.24% of the time to end up with two dog owners.

It's important to note that this calculation assumes independence between the events and replacement, meaning the probability of one person owning a dog does not affect the probability of the other person owning a dog.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

The grand mean of the process mean of the samples taken  by  the workers is 12.072

The mean is the numerical average of a set of two or more numbers. The equation for calculating the mean is by adding up the numbers in a set and dividing by the entire amount of numbers within the set. A mean makes a difference in you evaluate a set of numbers by telling you the average, making a difference to contextualize each information point. Here the grand mean will be the average mean of the total means obtained from the samples.

SIince we are given the means obtained by the workers which are 12.08, 12.07, 12.07, 12.07, and 12.07.

So considering  T to  be the grand mean and number of observations are 5,

So,

T =12.08 +12.07+ 12.07 +12.07+ 12.07/5

 =  12.072

To know more about mean refer to the link https://brainly.com/question/15397049?referrer=searchResults.

#SPJ4

Answer:

umm  1/8

Step-by-step explanation:

By percentage, a passive home construction is typically around 50% more expensive compared to a conventional home construction.

A passive home construction is generally more expensive compared to a conventional home construction due to several factors. Passive homes are designed to meet stringent energy efficiency standards, requiring specialized materials, insulation, ventilation systems, and high-performance windows and doors. These energy-saving features contribute to the increased cost of construction. Additionally, passive homes often incorporate advanced technologies like heat recovery systems and solar panels, further adding to the expenses.

However, it's important to note that while the initial construction costs of a passive home may be higher, the long-term energy savings and reduced operating costs can offset the higher upfront investment. Passive homes offer improved energy efficiency, better indoor comfort, and reduced environmental impact, making them a viable choice for those seeking sustainable and energy-efficient housing solutions.

To learn more about percentage, click here:

brainly.com/question/16797504

#SPJ1

Answer:

10/19

Step-by-step explanation:

the question is asking you for the amount of time that Tia spends playing the computer to the amount of time that she spends playing outside.

she spends 10 minutes playing on the computer

she spends 19 minutes playing outside

therefore it is 10:19 or 10/19 or 10 to 19

Answer: y = 4/7 √x

Step-by-step explanation:

Answer:

Please finish question.

Step-by-step explanation:

Hello! I would be able to answer your question if you finish your question.

Answer:

AA

Step-by-step explanation:

the triangles are similar because the angles are similar.

The coefficient of skewness is 0 and coefficient of Kurtosis is 0.125.

A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial. It is usually a number, but sometimes may be replaced by a letter in an expression. For example, in the expression: ax2 + bx + c, x is the variable and 'a' and 'b' are the coefficients.

coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient.

Let \($x$\) denote the claim sizes

\(& x= \begin{cases}100 & ; p=0.05 \\200 & ; p=0.2 \\300 & ; p=0.5 \\400 & ; p=0.2 \\500 & ; p=0.05\end{cases}\)

\(& \mu_1^{\prime}=\varepsilon(x)=\sum x^0 p(x=x)=300 \\\\& \mu_2{ }^{\prime}=\sum x^2 p(x)=98000 \\\\& \mu_3^{\prime}=\sum x^3 p(x)=342 \times 10^5 \\\)

\(& \mu_4^{\prime}=\sum x^4 p(x)=1.262 \times 10^{10} \\\\& \mu_2=\mu_2^{\prime}-\left(\mu_1^{\prime}\right)^2=8000 \\\\& \mu_3=\mu_3^{\prime}-3 \mu_2^{\prime} \\\\\mu_1^{\prime}+2\left(\mu_1^{\prime}\right)^3=0 \\\\& \mu_4=\mu_4^{\prime}-4 \mu_3^{\prime} \mu_1^{\prime}+6\)

\(\mu_2^{\prime} \mu_1^{\prime 2}-3 \mu_1^{\prime 4} \\& \mu_4=2 \times 10^8 \\\\& \beta_1=\frac{\mu_3{ }^2}{\mu_2^3}=0 \quad \Rightarrow y_1=0 \\\\& \beta_2=\frac{\mu_4}{\mu_2{ }^2}=\frac{2 \times 10^8}{64 \times 10^6}=3.125\\ \\& y_2=\beta_2-3=0.125 \\\)

Therefore, coefficient of skewness is 0 and coefficient of Kurtosis is 0.125.

For more such questions on Coefficients:

https://brainly.com/question/28975079

#SPJ4

x/2 + 7 < -3

Multiply both the sides by 2.

x + 14 < -6

Now subtract 14 from both the sides.

x < -6 - 14

=》x < -20

_______

RainbowSalt2222 ☔

The null and alternative hypothesis of the pctrush are explained below.

Given that;

By performing a partial F-test;

In hypothesis testing, the F test is a statistical test that is used to determine whether or not the variances of two populations or two samples are equal. The data in a f test follows a f distribution. In this test, two variances are divided and compared using the f statistic. Depending on the problem's characteristics, a f test can be either one- or two-tailed.

The one-way ANOVA (analysis of variance) test is run using the f value discovered after running the f test. More information on a f test, the f statistic, its critical value, formula, and how to perform a f test for hypothesis testing will be provided in this article.

The f test statistic is used in a test called the f test to determine if the variances of two samples (or populations) are equal. An f test needs a f distribution in the population and independent events for the samples in order to be valid. The null hypothesis can be rejected after conducting the hypothesis test if the f test results are statistically significant; otherwise, it cannot be rejected.

Null hypothesis:

The idea that there is no influence on the population is known as the null hypothesis.

We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no effect in the population (p). If not, we are unable to rule out the null hypothesis.

Although it may sound odd, statisticians only accept the phrase "fail to reject." Avoid using words like "prove" or "accept" when referring to the null hypothesis.

Alternative hypothesis:

The alternate response to your research question is the alternative hypothesis (Ha). It asserts that the populace is affected.

Your research hypothesis and your alternate hypothesis are frequently identical. It is, in other words, the assertion that you anticipate, or hope will be accurate.

The complement of the null hypothesis is the alternative hypothesis. The exhaustive nature of null and alternative hypotheses ensures that they account for all potential outcomes. Additionally, they are mutually exclusive, so only one of them can be true at once.

Learn more about hypothesis:

brainly.com/question/28920252

#SPJ4

The angle that is an alternate interior angle to ∠3 will be 60°.

From the complete information, it should be noted that the value of angle 3 is 120°.

It should be noted that the angle on straight line is 180°.

Therefore, the angle that is an alternate interior angle to ∠3 will be:

= 180° - 120°

= 60°

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

Which angle is an alternate interior angle to ∠3?

60

120

10

30

Answer:

x = -1

Step-by-step explanation:

The vertex is halfway between the focus and the directrix.

So here the directrix is  a vertical line  to the left of the vertex and passing through the point (2-3, 9) = (-1, 9)

It is x = -1.

7 inches

[25]^2-(24)^2=49

Г49=7

The cosine for the other acute angle will be 7 / 25.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The hypotenuse of a right triangle is 25 inches. The sine of one of the acute angles is 24/25.

sin θ = 24 / 25

We know that the sum of square of the sine and cosine of the angle will be equal to one. That is given as,

sin² θ + cos² θ = 1

Then the cosine for the other acute angle will be given as,

sin² θ + cos² θ = 1

(24 / 25)² + cos² θ = 1

576 / 625 + cos² θ = 1

cos² θ = 1 - 576 / 625

cos² θ = 49 / 625

cos² θ = (7 / 25)²

cos θ = 7 / 25

The cosine for the other acute angle will be 7 / 25.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

The variable V represents Victoria's age and the variable D represents her dad's age.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

The equation that relates Victoria's age (V) to her dad's age (D) when Victoria is 18 years old is:

D = V + 18

The variable V represents Victoria's age and the variable D represents her dad's age.

To know more about equation click-
https://brainly.com/question/26408808
#SPJ1

The length of the rectangle is 1 more than twice its width, the dimension of the square is approximately \((7 + \sqrt{673}) / 6\)meters.

Let's assume the side length of the square is represented by "x" meters.

The area of a square is given by the formula: \(A^2 = side^2.\)

So, the area of the square is \(x^2\)square meters.

The width of the rectangle is 2 meters less than the side length of the square. Therefore, the width of the rectangle is\((x - 2)\)meters.

The length of the rectangle is 1 more than twice its width. So, the length of the rectangle is 2(width) + 1, which can be written as \(2(x - 2) + 1 = 2x - 3\)meters.

The area of a rectangle is given by the formula: A_rectangle = length * width.

So, the area of the rectangle is \((2x - 3)(x - 2)\)square meters.

According to the problem, the total area of the square and rectangle combined is 58 square meters. Therefore, we can set up the equation:

A_square + A_rectangle = 58

\(x^2 + (2x - 3)(x - 2) = 58\)

Expanding and simplifying the equation:

\(x^2 + (2x^2 - 4x - 3x + 6) = 58\)

\(3x^2 - 7x + 6 = 58\)

\(3x^2 - 7x - 52 = 0\)

To solve this quadratic equation, we can factor or use the quadratic formula. Factoring doesn't yield simple integer solutions in this case, so we'll use the quadratic formula:

\(x = (-b + \sqrt{ (b^2 - 4ac)}) / (2a)\)

For our equation, a = 3, b = -7, and c = -52.

Plugging in these values into the quadratic formula:

\(x = (-(-7) + \sqrt{((-7)^2 - 4(3)(-52))} ) / (2(3))\)

\(x = (7 + \sqrt{(49 + 624)} ) / 6\)

\(x = (7 +\sqrt{673} ) / 6\)

Since the side length of the square cannot be negative, we take the positive solution:

\(x = (7 + \sqrt{673} ) / 6\)

Therefore, the dimension of the square is approximately \((7 + \sqrt{673} ) / 6\)meters.

Learn more about  area of a square

https://brainly.com/question/27776258

#SPJ11

The values of \(\(x\)\) that represent the possible side lengths of the square are  \(\[x_1 = \frac{7 + \sqrt{673}}{6}\]\)  \(\[x_2 = \frac{7 - \sqrt{673}}{6}\]\) .

Let's assume the side length of the square is x meters.

The area of the square is given by the formula:

Area of square = (side length)^2 =\(x^2\)

The width of the rectangle is 2 meters less than the side length of the square, so the width of the rectangle is\((x - 2)\) meters.

The length of the rectangle is 1 more than twice its width, so the length of the rectangle is \((2(x - 2) + 1)\) meters.

The area of the rectangle is given by the formula:

Area of rectangle = length × width = \(2(x - 2) + 1)(x - 2)\)

Given that the total area of the square and rectangle is 58 square meters, we can write the equation:

Area of square + Area of rectangle = 58

\(x^2 + (2(x - 2) + 1)(x - 2) = 58\)

Simplifying and solving this equation will give us the value of x, which represents the side length of the square.

\(\[x^2 + (2(x - 2) + 1)(x - 2) = 58\]\)

To solve the equation \(\(x^2 + (2(x - 2) + 1)(x - 2) = 58\)\) for the value of \(\(x\)\), we can expand and simplify the equation:

\(\(x^2 + (2x - 4 + 1)(x - 2) = 58\)\)

\(\(x^2 + (2x - 3)(x - 2) = 58\)\)

\(\(x^2 + 2x^2 - 4x - 3x + 6 = 58\)\)

\(\(3x^2 - 7x + 6 = 58\)\)

Rearranging the equation:

\(\(3x^2 - 7x - 52 = 0\)\)

Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula to find the values of \(\(x\)\).

To solve the quadratic equation \(\(3x^2 - 7x - 52 = 0\)\), we can use the quadratic formula:

\(\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]\)

In this equation, \(\(a = 3\), \(b = -7\), and \(c = -52\).\)

Substituting these values into the quadratic formula, we get:

\(\[x = \frac{-(-7) \pm \sqrt{(-7)^2 - 4(3)(-52)}}{2(3)}\]\)

Simplifying further:

\(\[x = \frac{7 \pm \sqrt{49 + 624}}{6}\]\)

\(\[x = \frac{7 \pm \sqrt{673}}{6}\]\)

Therefore, the solutions to the equation are:

\(\[x_1 = \frac{7 + \sqrt{673}}{6}\]\)

\(\[x_2 = \frac{7 - \sqrt{673}}{6}\]\)

These are the values of \(\(x\)\) that represent the possible side lengths of the square. To find the dimensions of the square, you can use these values to calculate the width and length of the rectangle.

Learn more about  area of a square

brainly.com/question/27776258

#SPJ11

Answer:

Step-by-step explanation:

wait i am kinda counfues help anyone?

Answer:$50=15 Times X

Step-by-step explanation:

Its really just Y=M times X plus B