1. let x and y be integers. we will assume that it is not true that x or y is even and will show that 3xy + 4 is odd.

Answer:

(10, 24)

Step-by-step explanation:

First equate both the equations,

2(x+2) = 4(x-4)

Then expand the brackets,

2x + 4 = 4x - 16

Collect like terms in each sides,

4 + 16 = 4x - 2x

Simplify and solve,

20 = 2x

20 ÷ 2 = x

x = 10

Then substitute 10 for x in one of the equations,

y = 2(x + 2)

y = 2(10 + 2)

y = 24

Therefore, the point of interssection is (10, 24).

you can solve this using the simultaneous equation

so y = y

4(x-4) = 2( x + 2)

4x - 16 = 2x +4

4x - 2x = 4+16

2x/2=20/2

therefore x=10

y=2 (x+2)

y=2(10+2)

y=2(12)

y=24

Answer:

A

Step-by-step explanation:

Cos 0= 2/3

0=2nd function of cos2/3= 48.189°

=48°

Answer:

27 cubic feet

Step-by-step explanation:

se know that because one yard is 3x3x3 27

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

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Answer:

The p -value for the hypothesis test is 0.003.

Step-by-step explanation:

In this case, a paired t-test would be used to determine whether the drug  increases blood pressure.

The hypothesis can be defined as follows:

H₀: The drug has no effect on blood pressure, i.e. d = 0.

Hₐ: The drug increases blood pressure, i.e. d > 0.

The information provided is:

\(n=32\\\bar d=2.5\\S_{d}=4.8\)

The test statistic is:

\(t=\frac{\bar d}{S_{d}/\sqrt{n}}\)

  \(=\frac{2.5}{4.8/\sqrt{32}}\\\\=2.9463\\\\\approx 2.95\)

The degrees of freedom of the test is:

\(df=n-1=32-1=31\)

The p-value of the test is:

\(p-value=P(t_{31}>2.95)=0.003\)

*Use a t-table.

Thus, the p -value for the hypothesis test is 0.003.

A t-test is an inferential statistic that is used to see if there is a significant difference in the means. The p-value for the hypothesis test is 0.003.

A t-test is an inferential statistic that is used to see if there is a significant difference in the means of two groups that are connected in some way.

As it is given that 32(n) subjects in the study had an average change in blood pressure of 2.5(\(\bar d\)) with a standard deviation of 4.8(\(S_d\)).

Now, in order to solve the problem we need to use t-test, the test will determine whether the blood pressure increases or not under the influence of the drug.

The hypothesis for the test can be defined as:

H₀: The drug has no effect on blood pressure, therefore, d = 0.

Hₐ: The drug has increased blood pressure, therefore, d>0.

The test static is:

\(t = \dfrac{\bar d}{\dfrac{S_d}{\sqrt n}}\\\\\\t = \dfrac{2.5}{\dfrac{4.8}{32}} = 2.946 \approx 2.95\)

Further, the degree of freedom of the test can be written as,

\(d_f=n-1 = 32-1=31\)

Thus, the p-value of the test is:

\(p-value = P(t_{31} > 2.95)\\\\\text{Using the t-table}\\\\p-value = 0.003\)

Hence, the p-value for the hypothesis test is 0.003.

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The parameter being tested in this scenario is the standard deviation of the bond prices for the Colonial Funds bond fund. The investor has randomly selected 30 days from the last year and recorded the bond prices in dollars in a sample.

The null and alternative hypotheses for this test are H0: σ ≤ 0.25 and Ha: σ > 0.25, where σ is the population standard deviation of the bond prices. The null hypothesis assumes that the standard deviation is equal to or less than 25 cents, while the alternative hypothesis assumes that it is more than 25 cents. The significance level is 0.05, which means that if the p-value is less than 0.05, the null hypothesis will be rejected in favor of the alternative hypothesis.

To test the hypothesis, the investor can use a one-tailed t-test for the population standard deviation. By using the sample data and the formula for the t-test, the investor can calculate the test statistic and the corresponding p-value. If the p-value is less than 0.05, the investor can reject the null hypothesis and conclude that the standard deviation of the bond prices for the Colonial Funds bond fund is more than 25 cents. This would support the investor's initial conclusion that the company's claim is false.

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Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Based on the probability of getting a yellow on one spin, the number of yellows expected from 420 spins is 210 yellows

The number of yellows you can expect are:

= Number of spins x Probability of getting yellow

Solving gives:

= 420 x 1/2

= 420 / 2

= 210 yellows

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Answer:

5.25

Step-by-step explanation:

butterfly method

x   3

--   --

7    4

7(3)=4x

21=4x

/4   /4

x=5.25

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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The number of pictures that Todd ordered can be obtained as follows:

- Subtract the one-time shipping fee from the total cost of Todd's order to obtain the total amount that the pictures cost, as below:

- Now, divide the result above (which is the total amount that the pictures cost ) by the individual cost of the pictures, as follows:

Therefore, Todd ordered a total of 11 pictures

The value to use for the standard error of the mean is 1.5 (option C).

To answer your question about the standard error of the mean for a random sample of 81 automobiles traveling on a section of an interstate with an average speed of 60 mph and a standard deviation of 13.5 mph, we can use the following formula:

Standard Error of the Mean (SEM) = (Standard Deviation) / √(Sample Size)

In this case, the standard deviation is 13.5 mph and the sample size is 81. Plugging these values into the formula:

SEM = 13.5 / √(81)
SEM = 13.5 / 9
SEM = 1.5

The value to use for the standard error of the mean is 1.5 (option C).

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There are 210 sequences for 7 church bells to rung with the given conditions. Using permutations, the required number of sequences is calculated.

A sequence or arrangement that can be framed by taking some or all of a finite set of things (or objects) is called a permutation.

The formula for finding the number of such arrangements is,

ⁿPₓ = n!/(n - x)!

It is given that, a church's bell tower has 7 bells. 3 of them will ring in a sequence before each service and no bell is rung more than once.

So, the number of sequences that the bells will form is calculated by using the permutations formula. I.e., ⁿPₓ = n!/(n - x)!

Here, n = 7; x = 3

Then,

ⁿPₓ = n!/(n - x)! ⇒ ⁷P₃ = 7!/(7 - 3)! = 7!/4!

⇒ ⁷P₃ = (7 × 6 × 5 × 4!)/4! = 7 × 6 × 5 = 210

Therefore, there are 210 sequences for ringing the bells.

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The Federal government levies the most income tax to generate more revenue than state and local for its programs. Thus, option A is correct.

The Federal government mainly depends upon income tax for the operations and funds for government schemes. Income tax is the major source of revenue for this federal government. They impose a tax on both individual and corporate income when compared to state and local.

The Federal government collects payroll taxations on self-employment laborers and also government employees. These tax rates will be increased in steps and sometimes imposes at a time based on the percentage of income for individuals.

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Answer:

A is 5

B is 3

C is 2

D is 4

E is 3

F is 5

Answer:

12

Step-by-step explanation:

Answer:154

Step-by-step explanation:

14/ 25 = x/275

multiply 14* 275 then divide by 25 to get 154

Answer:

168

Step-by-step explanation:

If 14/25 have passwords, and there are 275 students in her school, then the equation should be 275/25=12, 12*14=168

(4x+2)=(5x-25)

4x-5x=-25-2

-x=-27

x-27

x = 27

4x + 2 = 5x - 25

First, you need to move the 2 to the other side of the equation to make it: 4x = 5x -25 - 2. Now evaluate what -25 - 2 is then you'll have: 4x= 5x + 27. Now move 5 to the other side of the equation: 5x-4x= 27 = x = 27

so, our answer is x = 27

Answer:

Step-by-step explanation:

3

The following is an example of a quadratic inequality: x^2 + 2x - 8 > 0.

This is an example of a quadratic inequality because it is an inequality involving a quadratic function (x^2 + 2x - 8) which is of the form ax^2 + bx + c where a, b, and c are constants.

Quadratic inequalities can be solved by factoring the quadratic expression, using the Quadratic Formula, or graphing the inequality. In order to solve a quadratic inequality, it is important to understand the types of solutions that can be expected.

Solutions may include one solution, two solutions, or no solutions. Additionally, when graphing a quadratic inequality, the graph may be a line or a region. To determine which type of graph to use, the type of inequality must be identified (greater than or less than). If the inequality is a greater than or less than inequality, then the graph will be a region. If the inequality is an equal to inequality, then the graph will be a line.

Solving and graphing quadratic inequalities is an important skill in algebra as it allows us to visualize and solve complex problems.

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Answer:

3 cookies

Step-by-step explanation:

if there are 5 sandwiches, the that means that there is five people. 15 cookies divided by 5 is 3. So, 3 cookies can be given with no remainder.

hope this helps! :)

The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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The vertical change in elevation is 1.06 miles.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

From the right triangle formed, the adjacent side to the angle of elevation is 5 miles and the vertical change in elevation is the opposite side. From the trigonometric function, the tangent of an angle,

tan 12° = x / 5 miles

The value of x from the equation is 1.06 miles.

Thus, the vertical change in elevation is 1.06 miles.

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The vertical change in elevation from the point where the surveyor is standing to the point on the mountain = 1.06 miles

Here, angle of elevation θ = 12°

Let y be the the vertical change in elevation from the point where the surveyor is standing to the point on the mountain and x be the horizontal distance between the point on the mountain and the surveyor.

x = 5 miles

We need to find the value of y.

Consider tangent of angle of elevation θ

tan(θ) = y/x

tan(12°) = y/5

0.2126 = y/5

y = 0.2126 × 5

y = 1.06 miles

So, the vertical change in elevation = 1.06 miles

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Answer:

where m= slope m= -7/3

Step-by-step explanation:

Answer:

43.575

Step-by-step explanation:

124.50×.35=43.575

The proportion of a normal distribution that is located in the tail when z = 1.50 is 0.0668. So, the correct option is a.

Here's how to solve the problem:

We are given that z = 1.50.

To find the proportion of a normal distribution that is located in the tail when z = 1.50, we need to use a standard normal distribution table (also known as a z-score table). The table provides the area under the standard normal distribution curve to the left of a given z-score.

Since z = 1.50 is positive, we are interested in the area in the right tail of the standard normal distribution curve. The standard normal distribution table provides the area to the left of a given z-score. Therefore, to find the area in the right tail, we subtract the area in the left tail from 1 (the total area under the curve).

Using the standard normal distribution table, we find that the area to the left of z = 1.50 is 0.9332. Therefore, the area to the right of z = 1.50 (in the right tail) is: 1 - 0.9332 = 0.0668

Thus, the proportion of a normal distribution that is located in the tail when z = 1.50 is 0.0668, which is option (a).

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The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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Answer:

$2.16

Step-by-step explanation:

Amount of change received

= $[5.00-0.25(6)-0.40(2)-0.18(3)]

= $(5.00-1.50-0.80-0.54)

= $2.16