what is the slope of the line that goes through the points (2,-1) and (6,1)

answer: 12

Step-by-step explanation:

Answer:

D

Step-by-step explanation: the answer is d because the other half without the equations is = to 180 which is a semi circle. This means that the other half must be 180 too because a circle is 360. I did trial and error and plugged in all the numbers.

Hope I could help!

Answer:

option D .35

Step-by-step explanation:

2x+3x+5=180 linear pair

5x=180-5

x=175/5=35

The simplified form of the given exponential notation is 2¹² = 4096.

Exponential notation is used to express any large number or very small number into a small form by using powers.

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.

For examples, - 2³, a², -9ⁿ are some kind of exponential notations.

Given is an exponential notation, (2⁻⁴)⁻³

Using exponential identity, (aⁿ)ᵇ = aⁿᵇ

(2⁻⁴)⁻³ = 2⁻⁴⁽⁻³⁾

= 2⁴⁽³⁾

= 2¹²

= 4096

Hence, the simplified form is (2⁻⁴)⁻³ = 2¹² = 4096

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The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

The slope of the line is  \(m = \frac{4}{5}\)

slope using standard form:

\(m = \frac{4}{5}\)

slope m of a line of the form Ax + By = C, equals -\(\frac{A}{B}\)

A = 4 , B = -5

\(m = - \frac{4}{-5}\)

Therefore;

\(m = \frac{4}{5}\)

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Answer:

52

Step-by-step explanation:

42, 45, 58, 63

The mean is the sum divided by the number of terms

(42+ 45+ 58+ 63)/4

208/4

52

Answer:

Step-by-step explanation:

42 + 45 + 58 +631 + 422 + 473 + 52 = 1723

then divide by 7 to get 246.142857

hope this helps :)

The function C = 2x + 12y, has minimum value 60 at points (18,2) and (30,0).

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The given objective function -

C = 2x + 12y

Subjected to the constraints -

2x + 12y ≥ 60

x + y ≥ 20

x ≥ 0, y ≥ 0

First consider the inequality 2x + 12y ≥ 60.

The equation of the above inequality is as follows -

2x + 12y = 60

Find two points that satisfies the above equation.

Take x = 6, then -

2(6) + 12y = 60

12 + 12y = 60

12y = 60 - 12

12y = 48

y = 4

The first point is (6,4).

Take x = 0, then -

2(0) + 12y = 60

0 + 12y = 60

12y = 60

y = 5

The second point is (0,5).

Substitute (x,y) = (0,0) and see the direction of the region for 2x + 12y ≥ 60.

2(0) + 12(0) ≥ 60

0 ≥ 60

This is not true.

Therefore, the region is non-origin side.

Now consider the inequality x + y ≥ 20.

The equation of the above inequality is as follows -

x + y = 20

Find two points that satisfies the above equation.

Take x = 0, then -

0 + y = 20

y = 20

The first point is (0,20).

Take y = 0, then -

x + 0 = 20

x = 20

The second point is (20,0).

Substitute (x,y) = (0,0) and see the direction of the region for x + y ≥ 20.

0 + 0 ≥ 20

0 ≥ 20

This is not true.

Therefore, the region is non-origin side.

Plot the graph.

From the graph see that the corner points are (0,20), (18,2) and (30,0).

Now plug these points in the objective function and see for which point the objective function has the minimum value.

C = 2x + 12y

C = 2(0) + 12(20)

C = 0 + 240

C = 240

C = 2(18) + 12(2)

C = 36 + 24

C = 60

C = 2(30) + 12(0)

C = 60 + 0

C = 60

Therefore, the minimum value 60 is at points (18,2) and (30,0).

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The given differential equation is: 64y^2y' - 4x = 0 and the graph of particulations for the loc 64yy! - 4x = 0 64y24 is [Graph of y = e^(x/16) and y = -e^(x/16) on the same axes].

Simplifying, we get:

y' = 1/(16y)

Integrating both sides, we get:

∫(1/y) dy = ∫(1/16) dx

ln|y| = x/16 + C

Solving for y, we get:

y = ± e^(x/16 + C)

Simplifying, we get:

y = ± Ae^(x/16)

where A = e^C

To graph the particular solutions for different initial conditions, we can simply plot multiple functions of the form:

y = ± Ae^(x/16)

For example, if we have initial condition y(0) = 1, then we can solve for

1 = ± Ae^(0/16)

1 = ± A

A = ± 1

So, the particular solution for this initial condition is:

y = e^(x/16)

Similarly, for initial condition y(0) = -1, the particular solution is:

y = -e^(x/16)

We can plot these two particular solutions on the same graph to compare them: [Graph of y = e^(x/16) and y = -e^(x/16) on the same axes]

We can see that both solutions are exponential curves with different signs, and they intersect at x = 0. This is because they correspond to opposite initial conditions (positive and negative, respectively) but both satisfy the same differential equation.

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Answer:The answer would be 14 squishy cupcakes

Step-by-step explanation:Please give brainliest if right.

Answer: 14 (Im assumning you want to know what 14% of 100 is)

Step-by-step explanation:

100 * 14% (0.14) = 14

Add 100 into a calculator, hit multiply, type 14 then the percent button. Press equal and you should get 14.

Usually a percentace of 100 is that number.

b. convergent Since the limit approaches infinity, the integral diverges. Therefore, the answer is convergent .

To determine the convergence of the integral [infinity] 39 ln(x) x dx, we can use the integral test. This test states that if f(x) is a continuous, positive, and decreasing function on [a, infinity), then the improper integral [a, infinity) f(x) dx converges if and only if the series sum from n=a to infinity of f(n) converges.

In this case, we have f(x) = 39 ln(x)/x, which is a continuous, positive, and decreasing function on [1, infinity). Thus, we can apply the integral test.

Let's evaluate the integral using integration by parts:

∫ 39 ln(x)/x dx = 39 ∫ ln(x) d(ln(x))
= 39 (ln(x))^2/2 + C

Now, we need to check whether the integral converges or diverges.

As x approaches infinity, ln(x) grows without bound, so (ln(x))^2 grows even faster. Thus, the integral is improper at infinity.

We can evaluate the limit as x approaches infinity of (ln(x))^2/2 to determine whether the integral converges or diverges:

lim (x → infinity) (ln(x))^2/2 = infinity

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Answer: The girls median is 50, and their mean is 46

The boys median is 33, while their mean is 34.

The mean is the average, and the median is the middle when they are sorted by least to greatest.

Step-by-step explanation:

Answer:

y = 4,5, x = (approxiately) 7.8

Step-by-step explanation:

So basically, the side that is opposite of a 30 degree angle in a right triangle is equal to half of the hypotenuse

In this case, y is the opposite, so y = 1/2 x 9 = 4,5

Using the pythagorean theorem, we can also find out x.

The description and definition and values of the sequence are;

a. Each term of sequence A is produced from the previous term by multiplying the previous term by 2

b. Each term of sequence B is produced from the previous term by adding 10 to the previous term

c. \( A(n) = \frac{1}{2} \times 2^{(n-1)} \)

d. B(n) = 2 + (n-1) × 10

e. B(9) > A(9)

A sequence is series of objects that follow each other in a particular order.

a. The terms of sequence A are;

1/4, 1/2, 1, 2, 4

Therefore, each term is produced from the previous term by multiplying the previous term by 2 as follows;

1/4 × 2 = 1/2,

1/2 × 2 = 1

1 × 2 = 2

2 × 2 = 4

b. The values in sequence B are;

2, 12, 22, 32, and 42

Therefore, each term is produced from the previous term by adding 10 to the previous term as follows;

c. The definition of the nth term of sequence A is found using the formula for a geometric progression as follows;

nth term of a GP is; A(n) = a•r^(n-1)

Where;

a = The first term = 1/4

r = The common ratio = 1/2/(1/4) = 2

The nth term of sequence A is therefore;

d. The definition of the nth term of sequence B is found using the formula for a arithmetic progression as follows;

nth term of a AP is; B(n) = a + (n-1)•d

Where;

a = The first term = 2

d = The common difference = 12 - 2 = 10

The nth term is therefore

B(n) = 2 + (n-1) × 10

e. The value of A(9) is therefore;

\( A(9) = \frac{1}{2} \times 2^{(9-1)} = 64 \)

Which gives; A(9) = 64

The value of B(9) = 2 + (9-1) × 10 = 82

B(9) = 82

Which gives;

B(9) = 82 > A(9) = 64

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However, there is not enough information to determine the exact value of x. It could be any number between 92 and 105 (inclusive) that fits the pattern of the sequence.

In mathematics and computer science, a sequence is an ordered list of objects, often numbers or other mathematical objects. The objects in a sequence are usually indexed by natural numbers, which means that each object has a unique position or "index" in the sequence.

A sequence can be finite, meaning that it has a specific number of elements, or it can be infinite, meaning that it goes on forever. Examples of finite sequences include the list of the first ten prime numbers or the sequence of the letters in the word "hello". An example of an infinite sequence is the sequence of all positive integers.

It is not clear what the notation with the asterisks means. However, assuming that the asterisks denote missing numbers in a sequence, we can use some logic to determine the value of x.

If we arrange the numbers in ascending order, we get:

87*, x*, 92*, 105*, 135*

Since the numbers are in ascending order, we know that x must be greater than or equal to 92 and less than or equal to 105.

However, there is not enough information to determine the exact value of x. It could be any number between 92 and 105 (inclusive) that fits the pattern of the sequence.

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The complete question is: Find the value of x.

87*, x*, 92*, 135*, 105

Answer:

\(r = \dfrac{23}{20} p\)

Step-by-step explanation:

Number of points scored by River = \(r\)

Number of points scored by Paul = \(p\)

River has scored 15% more points that Paul.

To find:

Equation to represent the given condition.

Solution:

As per the given question statement, Number of points scored by River is 15% more than that of Paul's.

15% of points scored by Paul = 15% of \(p\) = \(\frac{15}{100}p\)

15% more means total points scored by Paul plus 15% of points scored by Paul.

Therefore, we can write the following:

\(r = p + 15\%\ of\ p\\\Rightarrow r = p + \dfrac{15}{100} p\\\Rightarrow r = \dfrac{115}{100} p\\\Rightarrow r = \dfrac{23}{20} p\)

Answer:

Set your calculator to degree mode.

\( { \sin }^{ - 1} \frac{18}{20} = 64 \)

So theta measures approximately 64 degrees.

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Without specific details about the Tannenbaum textbook or the exact diagram you are referring to, I can only provide a general explanation of a two-tiered architecture in client-server organizations.

In a two-tiered architecture, also known as a client-server architecture, the system is divided into two main components: the client and the server.

The client refers to the end-user device or application that interacts with the server to request services or resources. It could be a desktop computer, a laptop, a mobile phone, or any other device with network connectivity.

The server, on the other hand, refers to a central computer or system that provides services or resources to the clients. It is responsible for processing client requests, performing business logic, and managing data. Servers can range from simple web servers to more complex application servers or database servers.

The communication between the client and the server typically follows a request-response model. The client sends a request to the server, specifying the desired service or resource. The server processes the request and sends back the corresponding response, which could include data, information, or the result of a specific operation.

This two-tiered architecture is commonly used in many client-server applications, such as web applications, where the client (web browser) communicates with a remote server to access web pages or retrieve data.

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Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.

To estimate the probability of rolling a multiple of 2, we need to find the frequency of rolling a 2 or a 4 or a 6.

Frequency of rolling 2 = 26

Frequency of rolling 4 = 2

Frequency of rolling 6 = 20

Total frequency of rolling a multiple of 2 = 26 + 2 + 20 = 48

the estimated probability of rolling a multiple of 2 is:

P(multiple of 2) = frequency of rolling a multiple of 2/total number of rolls

P(multiple of 2) = 48/100

P(multiple of 2) = 0.48 or 48% (rounded to two decimal places)

what is number?

A number is a mathematical object used to represent a quantity or magnitude. It can be a positive or negative whole number, a fraction, a decimal, or an irrational number such as pi or the square root of 2. Numbers are used in a variety of mathematical operations, including addition, subtraction, multiplication, and division, as well as in more advanced mathematical concepts like algebra, calculus, and number theory. In addition to their mathematical uses, numbers are also used in everyday life to represent quantities like time, temperature, distance, and more.

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As per linear equation, the average of the student is 82.2.

The mean is 83.75.

A linear equation is an equation that contains one or multiple variable with the highest power of the variable is one.

The student got test average of 80, his quiz average of 72, homework of 90, and classwork of 93.

Test is worth of 30%.

Therefore, the weightage of test is

= 80 × 30%

= 24

Quiz is worth of 30%.

Therefore, the weightage of quiz is

= 72 × 30%

= 21.6

Homework is worth of 20%.

Therefore, the weightage of homework is

= 90 × 20%

= 18

Classwork is worth of 20%.

Therefore, the weightage of classwork is

= 93 × 20%

= 18.6

Therefore, the average of the student is

= (24 + 21.6 + 18 + 18.6)

= 82.2

Now, the mean is

= (80 + 72 + 90 + 93)/4

= 83.75

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The best graph for the cancer registrar to use in displaying the ten-year survival rates of breast cancer patients at the hospital would be a line graph. The answer is: c.

Line graphs are particularly useful for displaying trends over time, making them suitable for representing the ten-year survival rates of breast cancer patients. The x-axis can represent the years, while the y-axis can represent the survival rates.

Each point on the graph represents the survival rate for a specific year, and connecting these points with lines shows the overall trend over the ten-year period.

Line graphs are effective in illustrating changes and patterns in data, making them well-suited for displaying the progression of survival rates over time. They allow for a clear visualization of how survival rates may have increased, decreased, or remained stable over the ten-year period.

Hence, the correct option is c. Line graph.

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Frequency distribution graphs, exponential graphs, logarithmic graphs, trigonometric graphs, and statistical graphs are among the six types of graphs (such as bar, pie, and line graphs).

A straightforward two-dimensional graph is created when a vertical and horizontal line join at the origin. The y axis is vertical whereas the x axis is horizontal. In simple line graphs, the x and y axes are split into regularly spaced sections and assigned integer values.

There are eight main categories of graphs: linear, power, quadratic, polynomial, and they are all used to organise how information is presented.

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The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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Answer:

19

Step-by-step explanation:

Answer:

0.4875

Step-by-step explanation:

Long division process:

       _0.4875__

800|39.00000

      -3200

          7000

         -6400

             6000

            -5600

               4000

              -4000

                      0

Answer:

487.8

Step-by-step explanation:

The equation of the cosine function is f(x) = 20cos(1/3(x + 2π))

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

Amplitude = 20

Phase shift = 2π

Period = 6π

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

Amplitude = A = 20

C = Phase shift = 2π

Period = 2π/B

So, we have

2π/B = 6π

Evaluate

B = 1/3

So, we have

f(x) = 20cos(1/3(x + 2π))

Hence, the cosine function from the amplitude and the period is f(x) = 20cos(1/3(x + 2π))

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20% wore a blue shirt

Answer:

20% student wore blue shirts

Step-by-step explanation:

Answer:

7,091.61

Step-by-step explanation:

If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.

Ex. 39393939/ 5555 = 7,091.61

So each bunny will get 7,091.61 carrots.