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11. During an evening out, Dean paid a cab driver $20. He
then spent $25 on dinner and half of his remaining money on a painting. He bought an umbrella for $23.75 and had $42.15 left. How much money did Dean have at the beginning of the weekend?

The torque exerted by the force on the body is \(\vec \tau = 3\,\hat{i}-2\,\hat{j} + 8\,\hat{k}\).

Vectorially speaking, the torque exerted (\(\vec \tau\)) by the force on the body (\(\vec F\)) is resulted from this expression:

\(\vec \tau = \vec r_{QA} \times \vec F\) (1)

Where:

If we know that \(\vec r_{QA} = (2, 3, 0)\) and \(\vec F = (-2, 1, 1)\), then the torque is:

\(\vec \tau = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\2&3&0\\-2&1&1\end{array}\right|\)

\(\vec \tau = (3, -2, 8)\)

The torque exerted by the force on the body is \(\vec \tau = 3\,\hat{i}-2\,\hat{j} + 8\,\hat{k}\).

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The The function is continuous.

A is the answer

The first step in finding the distance between vertex P and vertex V is find the length of diagonal between vertex P and vertex R.

option A.

To find the distance between vertex P and vertex V, we need to draw a diagonal line from vertex P to vertex V.

After drawing the diagonal line, we will notice that we have a new right angle triangle.

So since we know the height of the right triangle, we need to find the base of the right triangle first, which is equal to length of diagonal length PR or TV

So the correct answer will be "find the length of diagonal PR first.".

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Answer:

see below

Step-by-step explanation:

A:3(x+2)=18

Divide each side by 3

3/3(x+2)=18/3

x+2 = 6

This is the same equation as equation B

They will have the same solution since they are the same equation

x+2-2 = 6-2

x = 4

Answer:

You need to multiply/divide both sides by the same constant- they're both equivalent as well.

Step-by-step explanation:

You need to multiply/divide both sides by the same constant- they're both equivalent as well.

This is because solving it you get this

3(x+2)=18

3(x+2) over 3 = 18/3

x+2=6.

That's dividing by a non-zero constant (3).

Kind of new to this so I hope you can understand my answer-​

Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

We need to use the principle of multiplication. We first choose the position of the first person in the row, which can be any of the n men or n women. Without loss of generality, let's say we choose a man. Then, for the next position, we need to choose a woman since we are alternating genders. There are n women to choose from. For the third position, we need to choose another man, and there are n-1 men left to choose from (since we already used one). For the fourth position, we need to choose another woman, and there are n-1 women left to choose from. We continue this pattern until all n men and n women are placed in the row.

Using the principle of multiplication, we can find the total number of ways to arrange the people by multiplying the number of choices at each step. Therefore, the total number of ways to arrange the people in a row if the men and women alternate is:

n * n-1 * n * n-1 * ... * 2 * 1

This can be simplified to:

(n!)^2

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

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Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

  1      :   2

  2     :   4

  3     :   6

  4     :   8

  5     :   10

There would be 10 cups in 5 pints.

Answer and Step-by-step explanation:

It is in the screenshot.

The point is (-3, 7), and would be noted as V'.

#teamtrees #WAP (Water And Plant)

Image of the point V is V' = (-3, 7) as shown in the graph below.

One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.

As per the given data:

Coordinates of point V = (3, -7)

Rotation to be given = 180° (clockwise)

For drawing the image of point V (3, -7):

Step 1: Draw a line passing through the origin and V (3, -7) extending through 2nd and 4th quadrant.

Step 2: Change sign of x and y coordinates as rotation is of 180° and mark the point in the 2nd quadrant.

Image of the point V is V' = (-3, 7) as shown in the graph below.

Hence, the image of the point V is V' = (-3, 7).

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Answer:

48

Step-by-step explanation:

An inequality is a mathematical statement that uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to compare two quantities. In real life, we can use inequalities to describe a wide range of situations. For example, let's say you are buying groceries and you have a budget of $50. You could use the inequality  total cost of groceries < $50 to describe your situation. This inequality states that the total cost of the groceries must be less than $50, or you will exceed your budget.

In another real life situation, let's say you are training for a race and you want to run a certain distance in a specific amount of time. You could use the inequality distance > speed × time to describe your goal. This inequality states that the distance you run must be greater than the product of your speed and the time it takes you to complete the race. Inequality statements can also be used in social science and economics. For example, we can use an inequality to describe the income distribution in a society. We could say that the top 10% of earners have an income greater than the bottom 90% of earners, using the inequality top 10% income > bottom 90% income.

In summary, inequalities can be used to describe real life situations by comparing two quantities using symbols such as <, >, ≤, or ≥. We can use inequalities to describe a wide range of situations, from grocery shopping to income distribution.

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By answering the above question, we may state that Probability(failure to roll a 6 on any of the first five rolls) = (5/6)5 0.327 If we convert this to three decimal places after the point, the chance is around 0.327.

Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Possibility is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers around 0 or 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.

The likelihood of not rolling a 6 on a single roll is 5/6, but the likelihood of getting a 6 on a fair die is 1/6.

We may multiply the likelihood of not rolling a 6 on each throw individually to determine the likelihood of not rolling a 6 on any of five rolls:

P(failure to roll a 6 on any of the first five rolls) = (5/6)5 0.327

If we convert this to three decimal places after the point, the chance is around 0.327.

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Answer:

20x-12

Step-by-step explanation:

The number of different paths from Point A to Point B is 20

From the question, we have the following parameters that can be used in our computation:

From the above parameters, we have the following subsets that can be used in our computation:

Horizontal paths = 3

Vertical paths = 3

So, the shortest movement is calculated as

shortest, n = Horizontal paths + Vertical paths

Substitute the known values in the above equation, so, we have the following representation

n = 3 + 3

Evaluate the sum

This gives

n = 6

The number of paths between the points is then calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 6 and r = Vertical paths = 3

Substitute the known values in the above equation

Total = ⁶C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 6!/3!3!

Evaluate

Total = 20

Hence, the number of paths between the points is 20

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Answer:

10

Step-by-step explanation:

Hello,

(h.g)(1)=h(1)*g(1)

h(1)=1+4=5

g(1)=2

so h(1)*g(1)=5*2=10

the correct answer is 10

Answer:

10

Step-by-step explanation:

g(x) = 2x

h(x) = x^2 + 4

(h*g)(1)

h(1) = 1^2 +4 = 1+4 = 5

g(1) = 2*2 =2

(h*g)(1) = 5*2 = 10

Answer: millas

Step-by-step explanation: solo en una milla hay 1.609 kilómetros so 20 millas es mayor que 20 kilómetros.

Lo siento si está no es la respuesta que busca.

Answer:

4/5

Step-by-step explanation:

The bus may leave at 11:45, or 11:46, or 11:47, or 11:48, or 11:49.

If he catches the 11:45 bus, he arrives at his friend at 11:57 and makes it.

If he catches the 11:46 bus, he arrives at his friend at 11:58 and makes it.

If he catches the 11:47 bus, he arrives at his friend at 11:59 and makes it.

If he catches the 11:48 bus, he arrives at his friend at 12:00 and makes it.

If he catches the 11:49 bus, he arrives at his friend at 12:01 and does not make it.

p(making it on time) = 4/5

Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.

Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:

Isolation and Cleavage of DNA:

The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.

Insertion of DNA Fragments into the Vector:

Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.

Transformation of Host Cells:

The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.

Introduction of rDNA into Cells:

Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:

Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.

Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.

Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.

Clinical Applications of rDNA:

Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:

Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.

Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.

Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.

Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.

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Answer:

B) A=135, B=77

Step-by-step explanation:

A + 45 = 180

135(A) + 45 = 180

103 + B = 180

104 + 77(B) = 180

Answer:

Step-by-step explanation:

it is a downward parabola cutting x-axis at (-3,0),(1,0)

f(x)=-(x+3)(x-1)

=-(x²+2x-3)

=-(x²+2x+1-1-3)

=-(x+1)²+4

vertex is (-1,4)

Answer:

139 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

First make an equation,

8x+500=11x+300

Then, with pemdas, cancel out 300 and 8x

200=3x

Divide both sides by 3

Answer is 66.6 reapeating or about 67 hours

One major difference in the style Shakespeare uses for Lady Macbeth's sleepwalking scene is the use of prose instead of verse. He does this to emphasize her confusion and disorientation, as well as create a sense of tension in the scene.

Shakespeare uses text rather than verse for Lady Macbeth's sleepwalking episode, which is a significant departure from his usual usage of verse. In addition to heightening the tension in the moment, he does this to highlight her confusion and disorientation.

Shakespeare uses prose to represent Lady Macbeth's disturbed mental state and her inability to express her thoughts coherently. In contrast, Macbeth speaks in verse throughout the play, expressing his thoughts in a logical and articulate manner. This contrast serves to further highlight Lady Macbeth's mental state and to illustrate the dramatic change in her character following the murder of Duncan.

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A. The sampling distribution of p is the probability of selecting a certain number of complaints from the sample of 200 complaints. This distribution can be represented as a binomial probability distribution with n = 200 and p = 0.8, where n is the sample size and p is the proportion of complaints settled in 2016. Therefore, the probability of any given outcome can be calculated using the formula p(x) = (n x) p^x (1-p)^(n-x), where x is the number of complaints settled.

B. The probability that the sample proportion will be within 0.04 of the population proportion is calculated by finding the probability of the sample proportion being greater than or equal to 0.76 and less than or equal to 0.84. This can be calculated by finding the cumulative probability of 0.76 to 0.84 using the binomial probability distribution formula. The cumulative probability of the sample proportion being within 0.04 of the population proportion is 0.8932.

C. The sampling distribution of p for a sample of 450 complaints can also be represented as a binomial probability distribution with n = 450 and p = 0.8, where n is the sample size and p is the proportion of complaints settled in 2016. Therefore, the probability of any given outcome can be calculated using the formula p(x) = (n x) p^x (1-p)^(n-x), where x is the number of complaints settled.

D. The probability that the sample proportion will be within 0.04 of the population proportion is calculated by finding the probability of the sample proportion being greater than or equal to 0.76 and less than or equal to 0.84. This can be calculated by finding the cumulative probability of 0.76 to 0.84 using the binomial probability distribution formula. The cumulative probability of the sample proportion being within 0.04 of the population proportion is 0.9675.

E. As measured by the increase in probability, the precision of taking a larger sample of 450 complaints rather than a sample of 200 complaints increases the probability by 0.0743 (0.9675 - 0.8932 = 0.0743).

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Answer:

c is the correct answer I know it please mark me brainleat

Answer:

Yes, his mixed number is correct

Step-by-step explanation:    

     6 3/5    

\(\\ 5\sqrt{33} \\\)

  -30

      3

Answer:

y= \(\frac{2}{3}\)

Step-by-step explanation:

change them to improper fractions

2 1/2= 5/2    1 2/3=5/3

divide y from 5/3:

\(\frac{5}{2} y=\frac{5}{3}\)

mutiply each side by 2/5

y=10/15=2/3

here is your answer. change them to improper fractions

2 1/2= 5/2    1 2/3=5/3

divide y from 5/3:

mutiply each side by 2/5

y=10/15=2/3

distance formula:

d = √[( x₂ - x₁ )² + ( y₂ - y₁ )²]

Given:

x₂ = 12

x₁ = 5

y₂ = 3

y₁ = 7

Solve:

d = √[( 12 - 5 )² + ( 3 - 7 )²]

d = √[( 7 )² + ( -4 )²]

d = √[ 49 + 16 ]

d = √[ 65 ]

d ≈ 8

The area is increased by  204  ft².

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Initial length l= 4 ft

Initial width l= 17 ft

Area = l*w = 4*17 = 68 ft²

When length and width of the rectangle are doubled:

l=2*4=8 ft

w= 2*17= 34 ft

Area= 8*34= 272 ft²

Difference = 272 - 68 = 204  ft²

Thus, the area is increased by  204  ft².

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Answer:

B y= 4.50x + 5.00

Step-by-step explanation:

4.50 is the “mx” in y=mx+b also known as the Slope that moves.

the 5 is the ”b” which is the y-intercept. It is a constant and does not change.