suppose that 2 cards are randomly selected from a standard 52 card deck. what is the probability that the first card is a king and the second card is a king if the smapling is done without replacement?

Answer:

$54.68

Step-by-step explanation:

10.7 × 7 × $0.73 = $54.677

($54.68 to 2 decimal places)

Answer:

f(x)=X^2+4

f(x)=42

42=X^2+4

X^2+4=42

X^2=42-4

X^2=38

X=sqrt(38)=6.16

\( \sqrt{?} \)

A U B={1,2,3,5,7}

A n B={3,5}

solution,

U=(1,2,3,4,5,6,7}

A={1,3,5,7}

B={2,3,5}

Now,

A U B

={1,3,5,7} U{2,3,5}

={1,2,3,5,7}

A n B

={1,3,5,7} n {2,3,5}

={3,5}

please see the attached picture..

Hope this helps..

Good luck on your assignment

Answer:

15.75 i thank

Step-by-step explanation:

bc multiply 2.25 x 7 = 15.75

after calculating both the expressions we can conclude that both expressions represent the same value of 12.

Mathematical operations including multiplication, division, addition, and subtraction are possible. The construction of an expression looks like this: Expression, number, and mathematical operator Numbers, variables, and functions are the elements of a mathematical expression (such as addition, subtraction, multiplication, and division, etc.). Expressions and phrases can be contrasted. Expressions are any equations that comprise numbers, variables, and an arithmetic operation. They are occasionally referred to as algebraic expressions. For instance, the value of m in the computation of 4m + 5 is the same as the word m in the provided equation, which has been separated from the figures 4m and 5 by the mathematical symbol +.

given,

Since subtracting a negative integer is equivalent to adding its positive counterpart, the expressions "10 - (-2)" as well as "-10 + 2" have the same meaning.

To be more precise, "10 - (-2)" denotes starting with a value of 10 and then deducting a negative value of -2. The positive value of an amount that is negative may be subtracted without affecting it, and vice versa. Therefore, "10 - (-2)" equals "10 + 2," making 12 the result.

The expression "-10 + 2" on the opposite hand suggests that we start with an amount of -10 and subsequently add a value of 2.

A positive number is equal to its negative counterpart when added to a negative number. Because of this, "-10 + 2" equals "-10 - (-2)", which also equals 12.

Therefore, both expressions represent the same value of 12.

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Answer:

15

Step-by-step explanation:

First do, 30% + 45% = 75%. Then do, 100-75=25.

Lastly,

proportions:

   x/60 = 25/100

So your answer is, 15.

Answer:

634 or it can be

O B.

The function for which the y values be the greatest for very large values of x is given by table B

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

The slope of a linear function represents the rate of change of the function, which is the amount by which the function changes in the vertical direction (y-axis) for each unit change in the horizontal direction (x-axis).

If the slope of a linear function is larger, it means that the function is changing at a faster rate in the vertical direction for each unit change in the horizontal direction

Now , the slope of the function of table B is given by

m = 100

Hence , the table B will have greater rate of change

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Answer:

Truee

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

T = 24.93 + 0.21x      Substitute 30.18 for T

30.18 = 24.94 + 0.21x

-24.94  - 24.94              Subtract 24.94 from both sides

5.24 = 0.21x                   Divide both sides by 0.21

x = 24.95 ≈ 24 because you can't have a partial text message.

If this answer is correct, please make me Brainliest!

Answer:

can't you do Russian math homework on your own

Step-by-step explanation:

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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Answer:

2/5

Step-by-step explanation:

Answer:

10 : 4, 15 : 6, 20 : 8,

Step-by-step explanation:

increase the first number by 5 then add two to the second number

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

See proof below

Step-by-step explanation:

In trigonometry identity

tan^2 theta = sin^2 theta /cos^2 theta

cot^2 theta = cos^2 theta/sin^2 theta

csc^2 theta = 1/sin^2 theta

Substitute into the expression

(sin^2 theta /cos^2 theta )+ (cos^2 theta/sin^2 theta)/1/sin^2 theta

= [sin^4theta + cos^4theta/cos^2 theta sin^2 theta]÷(1/sin^2 theta)

= 1/cos^2 theta sin^2 theta÷(1/sin^2 theta)

= 1/cos^2 theta sin^2 theta * sin^2 theta/1

= 1/cos^2theta

= sec^2theta (Proved!)

Answer:

64

Step-by-step explanation:

the pattern is multiplying by 2 every day. if thursday there is 8 then friday there is (8X2) 16, saturday there is (16X2) 32, and sunday there is (32X2) 64.

Answer:

sum of the first 27 terms = -1431

Step-by-step explanation:

\( s_{n} = \frac{n}{2} (2a + (n - 1)d)\)

n = 27 terms

first term, a = 25

common difference, d = 19 - 25 = -6

substitute the values into the formula

\( s_{27} = \frac{27}{2} (2(25) + (27 - 1)( - 6))\)

\( s_{27} = 13.5(50 + 26( - 6))\)

\( s_{27} = 13.5(50 - 156)\)

\( s_{27} = 13.5( - 106)\)

\(s_{27} = - 1431\)

Answer:

the answer is $5,000

Step-by-step explanation:

the question is asking what the initial value of the painting is and in the equation, they are trying to find out how much the painting will cost after t years. the 1.098 is how much the painting decreases each year and it is being multiplied by &5000 so $5000 is the original value of the painting.

Answer:

Im not sure that really makes sense but I think your grade would be 90% if you did 8/9 or somewhere around that

Step-by-step explanation:

Explanation : As you can see, \(\sqrt{-16}\) is not a real number, and hence should be expressed as 4\(i\), \(i\) being an imaginary number. Respectively \(\sqrt{-64}\) will be 8\(i\). Therefore this expression boils down to \(\left(3+4i\right)\left(6-8i\right)\). All we have to do from now on is expand this expression.

Apply the rule \(\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i\), in this case where \(a=3,\:b=4,\:c=6,\:d=-8\),

\(\left(3\cdot \:6-4\left(-8\right)\right)+\left(3\left(-8\right)+4\cdot \:6\right)i\)

Let's simplify each part, \(3\cdot \:6-4\left(-8\right)\) and \(3\left(-8\right)+4\cdot \:6\). Afterwards we can add \(i\), and refine.

\(3\cdot \:6-4\left(-8\right) = 50\) ; \(3\left(-8\right)+4\cdot \:6 = 0\)

Therefore our simplified expression will be \(50+0i\), otherwise known as just 50. That is our solution.

Answer:

Step-by-step explanation:

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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A black hole is a place in space where gravity pulls so much that even light can not get out. The gravity is so strong because matter has been squeezed into a tiny space. This can happen when a star is dying.

Because no light can get out, people can't see black holes. They are invisible. Space telescopes with special tools can help find black holes. The special tools can see how stars that are very close to black holes act differently than other stars.

Black holes can be big or small. Scientists think the smallest black holes are as small as just one atom. These black holes are very tiny but have the mass of a large mountain. Mass is the amount of matter, or "stuff," in an object.

Another kind of black hole is called "stellar." Its mass can be up to 20 times more than the mass of the sun. There may be many, many stellar mass black holes in Earth's galaxy. Earth's galaxy is called the Milky Way.

The largest black holes are called "supermassive." These black holes have masses that are more than 1 million suns together. Scientists have found proof that every large galaxy contains a supermassive black hole at its center. The supermassive black hole at the center of the Milky Way galaxy is called Sagittarius A. It has a mass equal to about 4 million suns and would fit inside a very large ball that could hold a few million Earths.

Scientists think the smallest black holes formed when the universe began.

Stellar black holes are made when the center of a very big star falls in upon itself, or collapses. When this happens, it causes a supernova. A supernova is an exploding star that blasts part of the star into space.

Scientists think supermassive black holes were made at the same time as the galaxy they are in.

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Answer:

no light can escape from it.

mass and spin.

Step-by-step explanation:

506.433 minutes elapse before the minute hand next points in the same direction as the hour hand.

Conversion of hours to minute:

As we all know, an hour is made up of sixty minutes, therefore

1 hour=60minutes

Thus, all you need to do to convert time from hours to minutes is to multiply the time in hours by 60 to get the time in minutes.

If you want to convert minute to hours divide the given time in minutes by 60.

The hands line up 11 times every 12 hours, or roughly every 1:05.5 hours; the precise number is 1:05.4545 repeating.

The repetition time is 8:43.6363. When expressed in seconds, the result is 8:43:38.1818 repeating, or 8:43:38 and 2/11.

This is 261 and \(\frac{9}{11}\) degrees, or 261.818 repeated.

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The measure of angle D in the convex pentagon ABCDE is 132°

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the measure of angle D, hence:

angle A = x - 40.

∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angle in a pentagon)

3(x - 40) + 2x = 540

x = 132°

The measure of angle D in the convex pentagon ABCDE is 132°

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Answer: the speed of the train that started from point M is 92.5 mph, and the speed of the train that started from point N is 97.5 mph (92.5 + 5).

Step-by-step explanation:

Let's use the following variables:

x = speed of the train that started from point M

x + 5 = speed of the train that started from point N

We know that:

The total distance between the trains is 380 miles.

In 2 hours, the distance between the trains decreased by 30 miles.

Using the formula: distance = rate x time, we can write two equations:

Equation 1: 2x + 2(x + 5) = 380 (the sum of the distances traveled by the two trains equals the total distance between them)

Equation 2: 2x - 2(x + 5 - 30/2) = 30 (the difference in distances traveled by the two trains in 2 hours equals the decrease in distance between them)

Simplifying Equation 1:

4x + 10 = 380

4x = 370

x = 92.5

Therefore, the speed of the train that started from point M is 92.5 mph, and the speed of the train that started from point N is 97.5 mph (92.5 + 5).

To check, let's substitute these values into Equation 2:

2(92.5) - 2(97.5 - 30/2) = 30

185 - 155 = 30

30 = 30

This confirms that our solution is correct.

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

Therefore, initially you had at least $50.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

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Any two-digit number beginning with a 1 is unique (and all special numbers have at least one 1). There are nine 2-digit numbers with the ones digit 1, and nine more 2-digit numbers with the tens digit 1 (except for 11, which has already been included because its ones digit is 1). As a result, there are 9+9=18 exceptional two-digit numbers.

What is special number called?

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Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I can get you a little bit :P

Most people, if not all in the US always want to live the American dream at some point in their lives. But the question is, what is the meaning of the American dream, and how can people achieve this vague and elusive realisation? The American dream is a national philosophy or a belief that specifies the ideal factors such as democracy, freedom, rights and equality that accords every citizen equal opportunity to prosper and achieve their set goals (Glenn, 2002). The foundation of the American dream is deeply rooted in the declaration of independence that assert that “all men are created equal”. In simple terms, the American dream eliminates the artificial barriers to prosperity and promotes upward social mobility for every individual in the US depending on their hard work irrespective of their, social, religious, historical and racial background. The American dream is a slogan that is selling across the globe and up to date we see millions of people crossing the American borders as immigrants in search of this dream that cannot otherwise be achieved in their homelands. The American dream is a reality as we see it through how different people in the US have developed and better their own ingenuity and achieve their goals through their best efforts. Making this dream a reality is not a straight path as it is all about overcoming the challenges which at the end of the day differentiates a resilient individual from the rest.

The surface area and the volume of each solid are listed below:

Case 23

A = 216 + 153√3 cm² = 481 cm², V = 324√3 cm³ = 561.18 cm³

Case 13

A = 575π m² = 1806.42 m², V = 4000π / 3 m³ = 4188.79  m³

In this problem we must determine the surface area and the volume of each of the two solids, the following area and volume formulas are listed below:

Triangles

A = 0.5 · w · h

Rectangle

A = w · h

Circle

A = π · r²

Surface of a hemisphere

A = 2π · r²

Surface of the inclined section of a cone

A = π · r · l

Lateral surface of a cylinder

A = 2π · r · l

Volume of a prism

V = A' · l

Volume of a hemisphere

V = (2π / 3) · r³

Volume of a pyramid

V = (1 / 3) · A' · l

Where:

Now we proceed to determine the surface area and the volume of each solid:

Case 23

Surface area

A = (9 cm) · (8 cm) + (9√3 cm) · (8 cm) + (18 cm) · (8 cm) + (9 cm) · (9√3 cm)

A = 72 cm² + 72√3 cm² + 144 cm² + 81√3 cm²

A = 216 + 153√3 cm²

A = 481 cm²

V = 0.5 · (9 cm) · (9√3 cm) · (8 cm)

V = 324√3 cm³

V = 561.18 cm³

Case 13

Surface area

A = 2π · (5 m)² + 2π · (5 m) · (45 m) + π · (5 m) · (15 m)

A = 575π m²

A = 1806.42 m²

Volume

V = (2π / 3) · (5 m)³ + π · (5 m)² · (45 m) + (π / 3) · (5 m)² · (15 m)

V = 4000π / 3 m³

V = 4188.79  m³

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The inverse of the cube root function used to represent the situation in model 2 is g(x) = x^3/27.

The cube root function is represented as f(x) = 3√x in model 2. To find the inverse of this function, we can first switch x and y and then solve for y. Therefore, let's start by replacing f(x) with y.

y = 3√x

Now, we'll switch x and y.

x = 3√y

Next, we'll isolate y by cubing both sides of the equation.

x^3 = (3√y)^3

x^3 = 27y

Finally, we'll solve for y by dividing both sides by 27.

y = x^3/27

Therefore, the inverse of the cube root function used to represent the situation in model 2 is g(x) = x^3/27.

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