HELP ME IF RIGHT MARK BRAINLY

a.  GH¢ 16,400

b. GH¢ 19,200

c. GH¢ 133,200

(a) The salary for the job at the end of 5 years can be calculated by adding the increase of GH¢ 400 per year to the initial salary of GH¢ 14,400 for 5 years:

Salary after 5 years = Initial salary + (Increase per year * Number of years)

= 14,400 + (400 * 5)

= 14,400 + 2,000

= GH¢ 16,400

(b) Similarly, the salary for the job at the end of 12 years can be calculated as:

Salary after 12 years = Initial salary + (Increase per year * Number of years)

= 14,400 + (400 * 12)

= 14,400 + 4,800

= GH¢ 19,200

(c) The total salary earned in 9 years can be calculated by summing up the salaries for each year:

Total salary earned in 9 years = (Initial salary + Increase per year) * Number of years

= (14,400 + 400) * 9

= 14,800 * 9

= GH¢ 133,200

For the TV manufacturer:

(a) To calculate the monthly output in 15 months from now, we can use the formula for a geometric series:

Monthly output in 15 months = Initial output * (1 + Rate of increase)^(Number of months)

= 300 * (1 + 0.05)^15

≈ 503.14 TVs

(b) The total output in 15 months, starting with the present month, can be calculated by summing up the monthly outputs for each month:

Total output in 15 months = Initial output * ((1 + Rate of increase)^(Number of months + 1) - 1) / Rate of increase

= 300 * ((1 + 0.05)^16 - 1) / 0.05

≈ 7,986.69 TVs

(c) To find the month in which the output reaches 500, we can solve the equation:

Initial output * (1 + Rate of increase)^(Number of months) = 500

300 * (1 + 0.05)^n = 500

Solving this equation, we find that n is approximately 2.82 months.

So, the output reaches 500 TVs in the third month.

For the scaling down of weekly production:

(a)(i) The weekly output after 10 weeks of scaling down can be calculated by subtracting the reduction of 15,200 hats per week from the initial production of 190,000 hats:

Weekly output after 10 weeks = Initial production - (Reduction per week * Number of weeks)

= 190,000 - (15,200 * 10)

= 190,000 - 152,000

= 38,000 hats

(a)(ii) The total production during the 10 weeks can be calculated by multiplying the weekly output by the number of weeks:

Total production during 10 weeks = Weekly output * Number of weeks

= 38,000 * 10

= 380,000 hats

(b) To calculate the weekly reduction if the production should be scaled down in 12 weeks, we can divide the total reduction of 15,200 hats by the number of weeks:

Weekly reduction = Reduction per week / Number of weeks

= 15,200 / 12

= 1,266.67 hats per week (approximately)

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The value of the odds of pulling a red marble is equivalent to 1/9 from an urn filled with marbles of various colors.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

By definition, the theoretical probability is equal to the ratio of the favorable event to the total number of events.

Given that:

The probability of pulling a red marble at random is 1/10

Probability of not pulling red marble is = 1-(1/10)= 9/10

The odds of pulling red marble is (1/10)/(9/10)

The probability of odds of pulling red marble is 1/9.

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Answer:

34

Step-by-step explanation:

A = (0, -7)

A' = (0, -14)

B = (8, 8)

B' = (16, 16)

Distance formula = \(\sqrt{({x_{2}- x_{1}})^{2} + ({y_{2}- y_{1}})^{2}}\)

= \(\sqrt{16^{2} + 30^2}\)

= \(\sqrt{1156}\)

= 34

(a) To graph the constraints, we can rewrite them in slope-intercept form:

1) xx + 2yy ≤ 12

  2yy ≤ -xx + 12

  yy ≤ (-1/2)xx + 6

2) 3xx + 2yy ≤ 24

  2yy ≤ -3xx + 24

  yy ≤ (-3/2)xx + 12

The feasible region is the area that satisfies both inequalities. To graph it, we can plot the lines (-1/2)xx + 6 and (-3/2)xx + 12 and shade the region below both lines.

(b) To draw a line representing all combinations of x and y that make the objective function equal to a specific value, we can choose a value for the objective function and rearrange the equation to solve for y in terms of x. Then we can plot the line using the resulting equation.

(c) To find the optimal solution, we need to find the point(s) within the feasible region that maximize the objective function. If the optimal solution is at the intersection point of two constraints, we can solve the corresponding system of equations to find the coordinates of the intersection point.

(d) After finding the optimal solution(s), we can label them on the graph by plotting the point(s) where the objective function is maximized.

(e) To calculate the optimal value of the objective function, we substitute the coordinates of the optimal solution(s) into the objective function and evaluate it to obtain the maximum value.

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The given statement "In scientific experiments, we measure a small number of items (a sample) and then attempt to infer the sample characteristics to the the entire population." is True. In scientific experiments, we often cannot measure an entire population, so we use statistical sampling to measure a smaller subset (a sample) and then try to generalize our findings to the entire population using statistical inference.

In scientific experiments, it is often not feasible or practical to measure the entire population. Instead, we collect a representative sample from the population and use statistical methods to infer the characteristics of the population from the sample.

This process is known as statistical inference. By carefully designing the sampling process and using appropriate statistical methods, we can make accurate and reliable inferences about the population.

Therefore, it is important to ensure that the sample is representative and unbiased and that the statistical methods used are appropriate for the data and research question at hand. The statement is true.

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Answer:

Its B. 5572.44cm

Step-by-step explanation:

Step-by-step explanation:

Volume of sphere = 4/3 pi r³

\( \frac{4}{3} \times \frac{22}{7} \times ( \frac{11}{2} ) ^{3} \\ \)

= approximate to 696.6 cm³

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

Answer:

(b+1)(5a+3)

Step-by-step explanation:

Notice how (b+1) appears on both sides. That means we can "factor it out" by moving it to the very left -

(b+1)

Now we know the form of the answer we can continue doing it.

For the next step, I take the terms 5a and 3 (what's left) and move them to the right as shown:

(b+1)(5a+3)

#Keep learning

Best regards

The integral θ(r)=∫⎝⎛±2μ(E−U−2μr2l2)l/r2dr⎞⎠⎟+constant gives the change in the angle θ of a body undergoing orbital motion as a function of the radius r.

The integral θ(r)=∫⎝⎛±2μ(E−U−2μr2l2)l/r2dr⎞⎠⎟+constant is a result of the conservation of angular momentum. The angular momentum of a body is defined as the product of its mass, its velocity, and the distance from the center of rotation.

In the case of orbital motion, the velocity of the body is given by v=rω, where ω is the angular velocity. The angular momentum is then l=mrv=mr2ω.

The conservation of angular momentum states that the angular momentum of a body remains constant unless an external torque is applied. In the case of orbital motion, the only external torque is the gravitational force.

The gravitational force is always perpendicular to the velocity, so it does not change the magnitude of the angular momentum. However, it does change the direction of the angular momentum, which is why the body undergoes orbital motion.

The integral θ(r)=∫⎝⎛±2μ(E−U−2μr2l2)l/r2dr⎞⎠⎟+constant can be derived by using the conservation of angular momentum and the equation for the gravitational force. The integral gives the change in the angle θ of the body as a function of the radius r. The ± sign in the integral represents the two possible directions of rotation.

The integral θ(r)=∫⎝⎛±2μ(E−U−2μr2l2)l/r2dr⎞⎠⎟+constant is a powerful tool for studying orbital motion. It can be used to calculate the change in the angle of the body as it moves along its orbit, and it can also be used to calculate the total energy of the body.

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Answer:

a=9/3,b=15/2 using some postulate you will get answer like sss,sas,aa.

As a general guideline, the research hypothesis should be stated as the alternative hypothesis, which is the statement that researchers are trying to support or prove.

The research hypothesis is a statement that describes the expected relationship between variables or the expected difference between groups in a research study. It should be based on a clear and specific research question, and it should be testable using appropriate statistical methods.

In other words, the research hypothesis should be a clear and concise statement that proposes a relationship or difference between variables that can be tested through data analysis. It should also be framed in a way that allows for the rejection or acceptance of the hypothesis based on the results of the study.

The null hypothesis, on the other hand, is the statement that there is no significant relationship or difference between variables. It serves as the default assumption until evidence is provided to support the alternative hypothesis.

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A research hypothesis should be stated as the predicted outcome of the study. It's often a declarative sentence that shows the relationship between variables in a study. The research hypothesis is often contrasted with a null hypothesis, which claims no significant relationship between the study's variables.

In general, a research hypothesis should be stated as the predicted outcome of the study. A research hypothesis is usually written in a declarative sentence format and states the relationship between variables in the study. For example, if your research is about studying the impact of amount of study time on test scores, your hypothesis could be: 'Students who spend more time studying will have higher test scores.'

The research hypothesis is often contrasted with a null hypothesis, which states there will be no significant relationship between the study's variables. In our example, the null hypothesis would be: 'The amount of study time will not impact the test scores significantly.' Remember, a research hypothesis should always be testable through research methods.

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The inverse Laplace Transform of F(s) = 1/s²-6x +10 is f(t)=e^-3t sin t.

Laplace transform of f(t) = L^-1{F(s)}

= L^-1{(1/s²) - (6/s) + 10/s}.

Using the following inverse Laplace transforms;

L^-1{(1/s²)} = tL^-1{(1/s)}

= 1L^-1{(1/(s-a))}

= e^(at)L^-1{(s+a)^n/s}

= [t^(n-1) * e^(-at) * (1/(n-1)!) * (d/dt)^(n-1)]L^-1{(a/(s^2+a^2))}

= sin(at)L^-1{((s-a)/(s^2+a^2))}

= cos(at).

Now, we can write;

Laplace transform of f(t) = L^-1{F(s)}

= t - 6 + 10e^(-3t)

Laplace inverse of F(s) is given by;

f(t) = t - 6 + 10e^(-3t).

Therefore, option C is the correct answer.

Hence, the inverse Laplace Transform of F(s) = 1/s²-6x +10 is-

f(t)=e^-3t sin t.

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7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.

A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.

Some key features regarding the consistent are-

Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.

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S = {1 - 2x², 1 + 3x - x², 1 + 2x + x³} is linearly independent in P3(R).

To determine if the set S is linearly independent in P3(R), we can use the linear combination method. We set a linear combination of the vectors in S equal to the zero vector:

c1(1 - 2x²) + c2(1 + 3x - x²) + c3(1 + 2x + x³) = 0

Now, we equate the coefficients of like terms:

c1 + c2 + c3 = 0
3c2 + 2c3 = 0
-2c1 - c2 + c3 = 0

This system of linear equations has only the trivial solution, where c1 = c2 = c3 = 0, which implies that the set S is linearly independent in P3(R).

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complete question:

Consider S = {1 − 2x^2, 1 + 3x − x^2, 1 + 2x + x3} ⊆ P3(R)  is S linearly independent in P3(R) ?

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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The output values of the function g(x) = 2 - 4x for x = 0, 1, 2, and 3 are 2, -2, -6, and -10 respectively.

The given function rule is g(x) = 2 - 4x. We need to find the output values of g(x) for x = 0, 1, 2, 3. So, putting the value of x in the given function, we get: For x = 0:g(x) = 2 - 4(0)g(x) = 2 - 0g(x) = 2

Thus, for x = 0, g(x) = 2For x = 1:g(x) = 2 - 4(1)g(x) = 2 - 4g(x) = -2

Thus, for x = 1, g(x) = -2For x = 2:g(x) = 2 - 4(2)g(x) = 2 - 8g(x) = -6

Thus, for x = 2, g(x) = -6For x = 3:g(x) = 2 - 4(3)g(x) = 2 - 12g(x) = -10

Thus, for x = 3, g(x) = -10

So, the table can be completed as shown below:xg(x)012-236-410-10

Therefore, the output values of g(x) are g(0) = 2, g(1) = -2, g(2) = -6, and g(3) = -10.

The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The equation of a line of best-fit that reflects a negative correlation is y = mx + b, where the slope m is negative.

When analyzing a scatter plot, a negative correlation indicates that as the independent variable increases, the dependent variable decreases. In the equation y = mx + b, the negative slope m represents the rate of decrease in the dependent variable for each unit increase in the independent variable. A negative slope means that as the x-values increase, the corresponding y-values decrease. The y-intercept b represents the value of the dependent variable when the independent variable is zero. Thus, the equation y = mx + b with a negative slope indicates a negative correlation between the variables being studied.

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"What is the equation of the line of best fit that represents a negative correlation between two variables?"

A continuous variable is a variable that can take on any value within a certain range, and often takes the form of real numbers but a discrete variable is a variable that can only take on specific values within a certain range, and often takes the form of integers

Continuous and discrete variables are two types of quantitative variables in statistics.

A continuous variable is a variable that can take on any value within a certain range, and often takes the form of real numbers. Examples of continuous variables include height, weight, time, temperature, and distance. These variables can be measured using instruments with varying degrees of precision, but they can theoretically take on an infinite number of values.

On the other hand, a discrete variable is a variable that can only take on specific values within a certain range, and often takes the form of integers. Examples of discrete variables include the number of siblings a person has, the number of cars in a parking lot, and the number of points a basketball team scores in a game. These variables can only take on a limited number of values, and often represent counts or whole numbers.

The main difference between continuous and discrete variables is the way they can be measured and the number of possible values they can take. Continuous variables can take on an infinite number of values and can be measured with varying degrees of precision, while discrete variables can only take on specific values and are often measured with exact precision.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

1/  x = 17

2/ You didn't take the full picture of the second one, so I can't solve

Step-by-step explanation:

1/

5x - 14 = 105 - 2x

7x - 14 = 105

7x = 119

x = 17

Sure, I'd be happy to help you learn how to solve multi-step equations! Here are the general steps:

Simplify each side of the equation by using the distributive property or combining like terms.

Use inverse operations to isolate the variable on one side of the equation. The inverse operation is the opposite of the original operation. For example, if the original operation is addition, you would use subtraction as the inverse operation.

Continue applying inverse operations until the variable is isolated on one side of the equation.

Check your solution by substituting it back into the original equation to make sure it works.

Here's an example to illustrate the process:

Solve for x: 3x + 5 = 11

Simplify each side by subtracting 5 from both sides: 3x = 6.

Isolate x by dividing both sides by 3: x = 2.

So the solution is x = 2.

Remember to always check your answer by substituting it back into the original equation to make sure it works:

3(2) + 5 = 11

6 + 5 = 11

11 = 11

This confirms that the solution is correct.

First, let's convert all of our denominators to 12 so we can make comparing the fractions easier.

1/3 * 4 = 4/12. 2/3 * 4 = 8/12.

Now that both of our fractions have a denominator of 12, we can compare the fractions!

4/12 (1/3) < 7/12.

8/12 (2/3) > 7/12

Now we have our answer

The surface given by z = f(x, y) = sqrt(x^2 + y^2) lies above the region R, where R is defined as {(x, y): 0 ≤ f(x, y) ≤ 5}. To find the area of this surface, we can use a double integral over the region R.

The area of the surface above the region R can be found by evaluating the double integral ∬R dA, where dA represents an infinitesimal area element in the xy-plane.

Since the region R is defined as {(x, y): 0 ≤ f(x, y) ≤ 5}, we need to determine the boundaries for the integration. In this case, the region R is a disk centered at the origin with a radius of 5, since the maximum value of f(x, y) is 5.

In polar coordinates, the region R can be defined as {(r, θ): 0 ≤ r ≤ 5, 0 ≤ θ ≤ 2π}, where r represents the radial coordinate and θ represents the angular coordinate.

The double integral over the region R can be written as ∬R dA = ∫₀²π ∫₀⁵ r dr dθ.

Integrating with respect to r first, we have ∫₀⁵ r dr = 1/2 * r^2 |₀⁵ = 1/2 * (5^2 - 0^2) = 1/2 * 25 = 12.5.

Next, integrating with respect to θ, we have ∫₀²π 12.5 dθ = 12.5 * θ |₀²π = 12.5 * (2π - 0) = 25π.

Therefore, the area of the surface above the region R is 25π square units.

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Answer:

$22.5

Step-by-step explanation:

2.5% of 900

0.025(900)= 22.5

Answer:

-2, -13

0, -3

2, 7

4, 17

Step-by-step explanation:

To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.

y = 5x - 3

y = 5(-2) - 3

y = -10 - 3

y = -13

This means the table value corresponding to -2 should be -13.

y = 5x - 3

y = 5(0) - 3

y = 0 - 3

y = -3

This means the table value corresponding to 0 should be -3.

y = 5x - 3

y = 5(2) - 3

y = 10 - 3

y = 7

This means the table value corresponding to 2 should be 7.

y = 5x - 3

y = 5(4) - 3

y = 20 - 3

y = 17

This means the table value corresponding to 4 should be 17.

Indexing blogs, labeling blogs and tagging entries are effective techniques for increasing people's ability to find your business blogs and wikis.

When done effectively, indexing blogs guarantees that themes are organized in an easily navigable framework that people can use to explore your content, which increases the number of people who can find your company blogs and wikis.

Labelling blogs is advantageous since it enables you to give your blog entries keywords and subjects, which makes it simpler for search engines to find your content.

By tagging entries, you can connect relevant subjects and give readers a longer means of research. All of these strategies are crucial for enhancing discoverability and ensuring that your company's blogs and wikis get viewed by the target audience.

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Answer:

9

Step-by-step explanation:

the slope of this equation is 9. he ears $200 say for a bonus or something. but his hourly rate is 9, if he works 10 hours, he ears $90 plus that 200

First, we count the number of ways we can arrange the digits. The first number has 9 possibilities:

the other digits have 10 possibilities each:

Therefore, the number of ways we can arrange the digits is:

Now, for the letters, the order matters, therefore, we can use the permutation formula:

Finally, the total possible number of IDs is: