5. In which group are the spheres of the Earth listed in order of increasing density?

Answer:

The graph is linear and increasing from x = -6 to x = -2.

The graph is nonlinear and decreasing from x = -2 to x = 0.

Step-by-step explanation:

Linear means it has a constant slope, or a constant rate of change. That makes a straight line on a graph. On the given graph, you can see the straight line increasing from x = -6 to x = -2.

Non-linear is just anything that isn't a constant slope, and makes a curve on a graph. On the given graph, the curve decreases from x = -2 until x = 0, where it reaches its lowest point and starts heading upwards again.

Answer:

See below  ----pick the one that you need

Step-by-step explanation:

Total cost = 21   +   21 * .06    +   21 * .15  

               =  21 ( 1 + .06 + .15)

                            = 21(1.21)

Answer:

3/7 chance or a 42.8% chance

Step-by-step explanation:

Answer:

9:6 27:18 and 81: 54

Step-by-step explanation:

The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.

What is an Exponent?

The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.

Calculation of the total number of candies in the store

(36)2 * 30

Using the properties of an exponent, we have

A number with an exponent of 0 always gives 1

(36)2 * 1

(3)6×2 * 1

312 * 1

312

Thus, the total number of candies in the store is 312.

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The expected time taken for the system to fail is dependent on the specific details of the system in question.

However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.

In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.

Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.

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The approximate solution is 3.52138 (Correct choice: D)

Since \(f(x)\) and \(g(x)\) are continuous differentiable functions, we can apply Newton-Raphson formula, which helps to find an approximate solution by a multi-stage approach:

\(x_{i+1} = x_{i}-\frac{f(x_{i})}{f'(x_{i})}\), where \(f(x_{i}) = 3\cdot \log (x-2) - \log x\). (1, 2)

The first derivative evaluated at \(x_{i}\) is defined by this formula:

\(f'(x_{i}) = \frac{1.303}{x-2} - \frac{0.434}{x}\) (3)

Now we proceed to find an approximate solution by iterations:

\(x_{o} = 3.5\)

\(f(x_{o}) = -0.016\)

\(f'(x_{o}) = 0.745\)

\(x_{1} = 3.521\)

\(x_{1} = 3.521\)

\(f(x_{1}) = -2.784\times 10^{-4}\)

\(f'(x_{1}) = 0.733\)

\(x_{2} = 3.52137\)

\(x_{2} = 3.52137\)

\(f(x_{2}) = -7.116\times 10^{-6}\)

\(f'(x_{2}) = 0.7332\)

\(x_{3} \approx 3.52138\)

The approximate solution is 3.52138 (Correct choice: D) \(\blacksquare\)

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Answer:

d 57/16

Step-by-step explanation:

plato 2022

To calculate the price of a bond that pays interest, we could begin with the general formula for the present value of a stream of cash flows.

Bonds are debt instruments that pay periodic interest and return the principal at maturity. The price of a bond is the present value of its expected cash flows, discounted back to the present at an appropriate interest rate. The general formula for the present value of a stream of cash flows is:PV = C1 / (1+r)^1 + C2 / (1+r)^2 + ... + CT / (1+r)^T Where :PV = the present value of the cash flows Ct = the cash flow at time t (in our case, the interest payment)T = the maturity date of the bondr = the required rate of return.

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Answer:

Total probability = 0.002 or 1 / 495

Step-by-step explanation:

Given:

Number of men = 8

Number of women = 4

Total number of person = 12

Find:

All four members will be women

Computation:

1st women probability = (4/12)

2nd women probability = (3/11)

3rd women probability = (2/10)

4th women probability = (1/9)

Total probability = (4/12)×(3/11)×(2/10)×(1/9)

Total probability = 24 / 11,880

Total probability = 0.002 or 1 / 495

The probability that all four members of the search committee will be women is 1.42%.

Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:

Therefore, the probability that all four members of the search committee will be women is 1.42%.

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Answer:

\(\frac{1}{3}\)(x+2)

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

1) Let the number be x.

2) To find one-third of a number, divide the number by 3 ,

3) x÷3.

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

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Answer:

I mean yeah if it goes through the origin OR if you put it into a table and it adds up

Step-by-step explanation:

the subjects for 10 years to see which group develops more cancer this is a Prospective study

Individuals are monitored in real-time for prospective studies, as information is gathered about them as their traits or situations evolve. Prospective studies include things like birth cohort studies.

In retrospective research, people are sampled, as details regarding their history are gathered. This could be done by asking people to recollect significant occurrences during interviews or by finding pertinent administrative data to fill in the blanks on former events and conditions.

A study sample is split into two groups in a randomized experiment: one will get the intervention under research, while the other won't.

A matched experiment is a type of research setup in which subjects are paired up according to traits they have in common before being divided into categories.

A survey involves asking a sample of people a specified set of questions.

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Answer:

The answer is "\(\bold{240 ft^2}\)"

Step-by-step explanation:

Please find the complete question in the attached file.

In the given question, the ramp shape of the triangular prism has 5 sides in which two sides were similar, and other four sides were different, that's why its surface area calculation can be defined as follows:

\(\to 5 \times 12= 60 \ ft^2 \\\\ \to 6 \times 13=78 \ ft^2 \\\\\to 5 \times 6=30 \ ft^2 \\\\\to 6 \times 12=72 \ ft^2 \\\\\)

By adding the sides of the area its value is= \(\bold{240 ft^2}\)

The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.

To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.

The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.

Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.

By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.

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Answer:

The population is everyone listed in the city phone directoy; the sample is the 75 people selected

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

first you need to find the unknown corner so you do 180-71= 109

then find the interior angle degree (n-2)*180 (n=number of sides) so (4-2)*180=2(180)=360

then set everything equal to 360:

10x+6+13x-2+8x-1+109=360

(combine like terms)

31x+112=360

(subtract 112 form both sides)

31x=248

(divide both sides by 31)

x=8

The total perimeter of the chicken coop if the length of one side is 3√5 yards is; 15√5 yards.yards

We are told that Isabelle had a five sided chicken coop in her yard and that the length was equal in all the sides.

Now, we need to find the total perimeter of the chicken coop.

The length of one side of the coop from online sources is 3√5 yards.

Since the coop is 5 sided, it means that it is a pentagon and we know that;

Perimeter of a pentagon = 5a

Where a is length of one side of the pentagon. Thus;

Perimeter = 5 x 3√5

Perimeter = 15 √5 yards

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Answer:

18vw²y^9 + 24v^6w^5

= 6vw²( 3y^9 + 4v^5w³)

Hope this helps.

Answer:

6vw^2(3y^9 + 4v^5w^3)

Step-by-step explanation:

If you were to multiply the equation 6vw^2(3y^9 + 4v^5w^3) then the result would be

18vw^2y^9 + 24v^6w^5

Hope this helps!

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).

Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.

By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.

The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.

Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.

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First Blank — (-4)

Second Blank — 8

Third Blank — 20

Forth Blank — 32

Fifth Blank — 44

First Blank = (-16) + (12 * 1)   OR   First Number + 12

                   = (-16) + 12   OR   (-16) + 12

                   = (-4)   OR   (-4)

Second Blank = (-16) + (12 * 2)   OR   First Blank + 12

                        = (-16) + 24   OR   (-4) + 12

                        = 8   OR   8

Third Blank = (-16) + (12 * 3)   OR   Second Blank + 12

                    = (-16) + 36   OR   8 + 12

                    = 20   OR   20

Fourth Blank = (-16) + (12 * 4)   OR   Third Blank + 12

                       = (-16) + 48   OR   20 + 12

                       = 32   OR   32

Fifth Blank = (-16) + (12 * 5)   OR   Fourth Blank + 12

                   = (-16) + 60   OR   32 + 12

                   = 44   OR   44

Hope my answer helps you.

:)

Please my answer as the BRAINLIEST. Plssssssssssssssssssss

Answer:

2x+2x is 4 +3x is 12+ 1 is 13 + 3 is 15 - 2 is 13 -1 is 12

so x=15

and y=12

The average speed is the ratio of the total distance to the total time. Then the average speed of the airplane will be 698.19 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

An airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph.

Then time taken for the first trip will be

t₁ = 867 / 612

t₁ = 1.4167 hours

Then time taken for the second trip will be

t₂ = 1984 / 744

t₂ = 2.6667 hours

Then the average speed is the ratio of the total distance to the total time.

The total distance will be

Total distance = 867 + 1984

Total distance = 2851 miles

The total time will be

Total distance = 1.4167 + 2.6667

Total distance = 4.0834 hours

Then the average speed will be

Average speed = 2851 / 4.0834

Average speed = 698.19 mi/h

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The length and width of the rectangle are 36 and 7 respectively.

The length of the rectangle can be represented as x, and the width is 2m less than one-quarter of the length, which is (1/4)x - 2. The area of the rectangle is given as 252m^2. We can set up an equation using these values to find the length and width of the rectangle.

To find the length and width, we can use the formula for the area of a rectangle: A = length * width. In this case, the area is 252m^2, so we have:

252 = x * ((1/4)x - 2).

Simplifying this equation, we get:

252 = (1/4)x^2 - 2x.

Multiplying through by 4 to eliminate the fraction, we have:

1008 = x^2 - 8x.

Rearranging the equation to standard form, we have:

x^2 - 8x - 1008 = 0.

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Factoring may not yield integer solutions in this case, so we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a = 1, b = -8, and c = -1008.

Solving the quadratic equation using the quadratic formula, we get two possible values for x. We can substitute these values back into the equation for the width ((1/4)x - 2) to find the corresponding widths of the rectangle.

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The residual for the given data point is 5.8.

The residual is obtained by subtracting the predicted y-value from the actual y-value.

Here, the predicted y-value is 124.2 and the actual y-value is 130.

Therefore, the residual is = 130 - 124.2

= 5.8

The residual for this data point is 5.8.

A residual represents the difference between the actual value of y and the predicted value of y.

It is the vertical distance between a data point and the regression line.

A residual can be positive or negative depending on whether the actual value is higher or lower than the predicted value.

The presence of a residual suggests that the regression equation does not perfectly fit the data and there may be other factors influencing the relationship between the variables.

In conclusion, the residual for the given data point is 5.8.

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