figure abcd is similar to figure mnkl if ab = 2x + 1, bc= 12, mn = 8, nk=7 and kl=13, what is the value of x​

Answer:

56

Step-by-step explanation:

Multiply 7 to both sides to get x by itself.

z/7=8

Check:

There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

To learn more about permutation refer to:

https://brainly.com/question/1216161

#SPJ1

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

A. false

b. true

c. false

Step-by-step explanation:

Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

More can be learned about extremas of a function at https://brainly.com/question/9839310

#SPJ1

Answer:

i think this is the answer for the first part then second part is y 0 -3 slope 1

Answer:

40.5

Step-by-step explanation:

if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;

y ∝ x²z³/√w

y = kx²z³/√w

If x = 2, z = 2, y = 12 and w = 64

Substitute;

12 = k (2)²(2)³/√64

12 = 32k/8

12 = 4k

k = 12/4

k = 3

To get y when x = 1, z = 3, and w = 4.

y = 3 (1)²(3)³/√4

y = (3*27)/2

y = 81/2

y = 40.5

Hence the value of y is 40.5

Answer:

4/11

Step-by-step explanation:

a ratio is a fraction:

a:b or a to b

= a/b

so 12:33

= 12/33, which can be reduced to 4/11 when dividing the numerator and denominator by 3

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

To know more about Integral.

https://brainly.com/question/27419605

#SPJ8

Answer:

$0.14

Step-by-step explanation:

Hello!

To find the price per ounce you divide the total cost by the number of ounces

11.99/84 = 0.1427

Round to nearest hundredth

0.14

The answer is $0.14

Hope this helps!

The probability of selecting no Republicans is approximately 0.2102, or about 21.02%.

What is probability?

Probability is a measure of the likelihood of an event occurring.

There are a total of 22 members in the group, consisting of 10 Democrats, 9 Republicans, and 3 Independents.

To find the probability of selecting no Republicans, we need to consider the possible ways in which two members can be selected without any Republicans being chosen.

There are two cases to consider:

The first person selected is not a Republican, and the second person selected is also not a Republican.

The first person selected is a Republican, and the second person selected is not a Republican.

Case 1: The probability of selecting a non-Republican member on the first draw is (10 + 3)/22, since there are 10 Democrats and 3 Independents out of 22 members. After the first member is selected, there are 21 members left, including 9 Republicans. The probability of selecting another non-Republican member on the second draw is (10 + 3 - 1)/(22 - 1), since there is one fewer member in the group after the first draw. Therefore, the probability of selecting no Republicans in this case is:

(10 + 3)/22 * (10 + 3 - 1)/(22 - 1) = 13/77

Case 2: The probability of selecting a Republican member on the first draw is 9/22, since there are 9 Republicans out of 22 members. After the first member is selected, there are 21 members left, including 10 Democrats and 3 Independents. The probability of selecting a non-Republican member on the second draw is (10 + 3)/(22 - 1), since there is one fewer member in the group after the first draw and we cannot select the Republican member again. Therefore, the probability of selecting no Republicans in this case is:

9/22 * (10 + 3)/(22 - 1) = 27/418

The total probability of selecting no Republicans is the sum of the probabilities in the two cases:

13/77 + 27/418 = 0.2102 (rounded to four decimal places)

Therefore, the probability of selecting no Republicans is approximately 0.2102, or about 21.02%.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

From the information below, we draw the conclusion that there is insufficient evidence to support the claim that alcohol use is more frequently associated with automobile deaths.

In statistical hypothesis testing, null and alternate hypotheses are utilized. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables. The alternative or research hypothesis is the claim that, if true, is strongly supported by the evidence provided by the data, according to the criterion for the proper construction of a hypothesis test. Usually, the alternative hypothesis complements the null hypothesis.

Null Hypothesis: The typical dosage offered under this brand is 50 mg (mean dosage for population = 50 mg). Alternative Hypothesis: The typical dosage for this brand is lower than 50 mg (the population mean dosage).

Here n=92

let x: number of automobile accident =45

p: percentage of alcohol related automobile fatalities

alcohol related is 41% = 0.41

So. total =45/92 =0.49g

Now Null Hypotheses : p= 0.49

alternative hypotheses: p >0.49

test:

\((p-P)/(\sqrt{\frac{pq}{n} }) \\(0.49-0.41)/(\sqrt{\frac{0.41*0.59}{92})\)

= 1.56

Since \(\alpha\) must be 0.5 <1,5 So, we accept null hypotheses.

Learn more about null hypotheses visit: brainly.com/question/13045159

#SPJ4

The answer to this question: B

the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.

The square root of 25 can be expressed simply as 5:

x = (1 ± 5) / 4

This provides us with two potential answers:

x = (1 + 5) / 4 = 1.5

or

x = (1 - 5) / 4 = -0.5

The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;

Mean is equal to the product of the given data and the total amount of data.

from the question:

The following formula can be used to find x using geometric mean:

\(x = \sqrt{(ab)}\)

where a and b are the two numbers whose geometric means we're interested in finding.

The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:

\(x = \sqrt{(1.5 (-0.5)}\)

\(x = \sqrt{(-0.75)}\)

As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.

to know more about the mean visit:

https://brainly.com/question/30112112

#SPJ1

Here, lots of questions are asking.

The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.

To know more about geometry, visit:

brainly.com/question/30124665

#SPJ1

Answer:

y=-8x-4

Step-by-step explanation:

Answer: B, SIX HOURS

Step-by-step explanation:

B, 6 hours

180 / 30

Answer:

(a) Company A sample mean = 7.9; Company B sample mean = 10.26; Company A median = 8.25; Company B median = 10.15

(b) See the attached pdf file for the line plot. In the graph, Company A data is plotted using small circle dots while Company B data is plotted using small cross dots.

From the graph, apparent differences between the two companies is that the rods steel of B appear to be more flexible than the rod steel of company A.

Step-by-step explanation:

(a) Calculate the sample mean and median for the data for the two companies.

(i) Sample mean

A sample mean can be described as the average of a data set. The for formula for calculating a sample mean is given as follows:

Sample mean = Sum of all data / Number of all data .................... (1_

Therefore, we have:

Company A sum of all data = 9.3 + 8.8 + 6.8 + 8.7 + 8.5 + 6.7 + 8.0 + 6.5 + 9.2 + 7.0 = 79.50

Company A number of all data = 10

Therefore, we have:

Company A sample mean = 79.50 / 10 = 7.95

Company's B sum of all data = 11.0 + 9.8 + 9.9 + 10.2 + 10.1 + 9.7 + 11.0 + 11.1 + 10.2 + 9.6 = 102.60

Company B  number of all data = 10

Therefore, we have:

Company B sample mean = 102.60 / 10 = 10.26

(ii) Median

The median of a data set is the middle value of the data set after arranging the data in either increasing or decreasing order. Note that when the number if the data set is even number, the median is the average of the two middle number.

Arranging in increasing order, we have:

Company A data:  6.5; 6.7; 6.8; 7.0; 8.0; 8.5; 8.7; 8.8; 9.2; 9.3

The two middle number for company A are 8.0 and 8.5. Therefore, we have:

Company A median = (8.0 + 8.5) / 2 = 16.5 / 2 = 8.25

Company B data: 9.6; 9.7; 9.8; 9.9; 10.1; 10.2; 10.2; 11.0; 11.0. 11.1

The two middle number for company B are 10.1 and 10.2. Therefore, we have:

Company B median = (10.1 + 10.2) / 2 = 20.3 / 2 = 10.15

(b) Plot the data for the two companies on the same line and give your impression regarding any apparent differences between the two companies.

Note: See the attached pdf file for the line plot. In the graph, Company A data is plotted using small circle dots while Company B data is plotted using small cross dots.

From the graph, apparent differences between the two companies is that the rods steel of B appear to be more flexible than the rod steel of company A.

Answer:

I think its 32, I don't know how to put it into a linear equation I hope it helps enough though.

Answer:

y=4x+14

Step-by-step explanation:

Recall the half-angle identity for cosine:

cos²(x) = 1/2 (1 + cos(2x))

Then we can rewrite the integrand as

cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))

So we have

\(\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx\)

Next, recall the cosine product identity,

cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))

so that the integral is equivalent to

\(\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx\)

\(\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx\)

Computing the rest is trivial:

\(\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}\)

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

To learn more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

Answer: The 12 songs for $10

Step-by-step explanation: 12 / 10 = 1.2 while 12 / 0.85 = 14.11

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

What is inequality?

An inequality is a mathematical statement that shows the relationship between two values where one value is either greater than or less than the other value. It is represented by symbols such as >, <, ≥, or ≤. For example, if x is a variable and we want to express that x is greater than 5, the inequality would be written as x > 5.

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) To graph the region, we can plot the lines that define the inequalities and shade the area that satisfies all of them.

c) Solving the system of inequalities graphically, we find the maximum number of machines that can be installed is 11 (6 small and 5 large).

d) To find the maximum profit, we need to substitute the number of machines into the profit equation. P = 250,000X + 300,000Y. Plugging in X = 6 and Y = 5, we find the maximum profit to be 2,500,000.

Hence,

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

To learn more about the inequalities, visit:

https://brainly.com/question/24372553

#SPJ1

Step-by-step explanation:

f(x) = 3√x /4

x=0 => y = 0

x=1 => y = 0.75

x=4 => y = 1.5 ==> (4, 1.5)

x=16=>y= 3

the right answer is the second graph

Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.

The process of statistical analysis involves the collection of data, organizing it, and summarizing it in an understandable way. After summarizing the data, the analyst can then use a variety of techniques to analyze the data. For example, the analyst may use descriptive statistics such as the mean, median, and mode to describe the data. The analyst may also use inferential statistics such as chi-square tests or correlation tests to determine the relationships between variables. Finally, the analyst may use regression analysis to predict future outcomes based on the data. All of these techniques involve the use of mathematics, primarily algebra and calculus, to solve equations and generate the desired results. Ultimately, the goal of statistical analysis is to draw meaningful conclusions from the data that can be used to inform decision-making.

Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.

Learn more about chi-square tests here:

https://brainly.com/question/14082240

#SPJ4

The number of hours that it will take Alonso to drive 288 miles is 12 hours.

Since Alonso was driving down a road and after 4 hours he had traveled 96 miles, the speed will be:

Speed = Distance / Time

Speed = 96 / 4

Speed = 24 miles per hour.

Therefore, the time taken for 288 miles will be:

Time = Distance / Speed

Time = 288 / 24

Time = 12

The time taken is 12 hours.

Learn more about time on:

brainly.com/question/17146782

#SPJ1

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer