the seventh term of a geometric sequence is 5 and the tenth term is 16.875. find the fifteenth term of this sequence. give your answer exactly as a fraction in fully simplified form or approximately as a decimal rounded to three decimal places.

Answer:

Step-by-step explanation:

angle 1=130 degree(being alternate angles)

angle 2=50 degree

angle 2 +130=180 degree(being co interior angle)

angle 2=180-130

angle 2=50 degree

Answer:

m<1 = 50

m<2 = 130

Step-by-step explanation:

From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.

To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.

180 - 130 = 50

So m<1 = 50

The function is a continuous random variable. The correct option is B.

Continuous random variables are those that have a large number of uncountable possible values. There are countless possible values. In this illustration, there is no limit to the range of possible values for the height of a giraffe in meters, such as 10.5m, 15.22m, 12.0m, etc. There are countless options.

Discrete Variables that have a finite number of possible outcomes are known as random variables. When a dice is rolled, for example, the outcomes could be 1, 2, 3, 4, 5, or 6. There are only six possible values, with nothing in between.

Therefore, the function is a continuous random variable. The correct option is B.

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Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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Answer:

a

Step-by-step explanation:

In conclusion for part A  it would take T - 32.5 minutes to cook a 1.5 kg joint. For part B w is given by the formula w = (T - 25) / (-35). For part C 6.6 kg of beef needs to be cooked for 207 minutes. For part D  5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.

How to solve?

a) To find how long it would take to cook a 1.5 kg joint, we can substitute w = 1.5 into the formula:

T - 35w + 25 = T - 35(1.5) + 25 = T - 32.5

So, it would take T - 32.5 minutes to cook a 1.5 kg joint.

b) To make w the subject of the formula, we need to isolate w on one side of the equation. We can start by subtracting 25 from both sides:

T - 35w = T - 25

Next, we can divide both sides by -35:

w = (T - 25) / (-35)

Therefore, w is given by the formula w = (T - 25) / (-35).

c) To find the weight of beef that needs to be cooked for 207 minutes, we can substitute T = 207 into the original formula:

T - 35w + 25 = 207

Simplifying this equation, we get:

-35w = -232

Dividing both sides by -35, we get:

w = 6.6 kg

Therefore, 6.6 kg of beef needs to be cooked for 207 minutes.

d) To find the weight of beef that needs to be cooked for 3 hours and 48 minutes (which is equivalent to 3 × 60 + 48 = 228 minutes), we can substitute T = 228 into the original formula:

T - 35w + 25 = 228

Simplifying this equation, we get:

-35w = -207

Dividing both sides by -35, we get:

w = 5.91 kg

Therefore, 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.

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Shaping modifies behavior through reinforcement and extinction, while planned ignoring is an effective strategy with limitations.

Shaping is a behavior modification technique that involves reinforcing behaviors that are closer and closer to the desired target behavior. Instead of waiting for the complete behavior to occur, shaping allows for gradual progress by reinforcing successive approximations.

For example, in dog training, shaping can be used to teach a dog to roll over. Initially, the trainer may reinforce the dog for lying down, then for turning its head, then for rolling partially, until the dog eventually performs a full roll. This demonstrates how shaping breaks down a complex behavior into manageable steps.

Reinforcement and extinction are integral to the shaping process. Reinforcement involves providing rewards or positive consequences to strengthen and increase the frequency of desired behaviors.

In shaping, reinforcement is used to reward each successive approximation, encouraging the individual or animal to continue moving towards the target behavior.

On the other hand, extinction is the process of eliminating undesired behaviors by withholding reinforcement. By no longer providing rewards for an undesirable behavior, the behavior gradually decreases and eventually becomes extinct.

Planned ignoring is a strategy that can be effective in extinguishing undesirable behavior. It involves deliberately withholding attention or reinforcement when the undesired behavior occurs.

For example, a parent might choose to ignore a child's tantrum to discourage its recurrence. This approach works by removing the reinforcing element of attention, causing the behavior to diminish over time.

However, planned ignoring may not be appropriate in situations where immediate intervention or safety concerns are involved, as it relies on the absence of reinforcement and may prolong undesirable behaviors in certain cases.

In the context of a Christian walk, shaping can be understood as God's influence and guidance in shaping thoughts and behaviors. Through teachings, scripture, prayer, and spiritual growth, individuals are guided towards conforming to godly principles and values.

God shapes our character, molds our perspectives, and helps us develop behaviors that align with His will. It is through the process of learning and growing in faith that our thoughts and behaviors are transformed to reflect the teachings of Christ.

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If Sarah only works in 23 of those schools then Sarah worked with 9,351 students.

Given, There are a total of 58 schools and 23,581 students attend those schools. Sarah only works in 23 of those schools

now, as 58 schools = 23581 students

1 school = 23581/58 students

now,

23 schools = 23× 23581/58 students

23 schools = 9,351 students

So, Sarah worked with 9,351 students.

Hence, Sarah worked with 9,351 students.

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Answer:

The angle between these radii must be 120º.

Step-by-step explanation:

According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.

Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:

\(\theta = 180^{\circ}-90^{\circ}-30^{\circ}\)

\(\theta = 60^{\circ}\)

And the angle between these two radii is twice the result.

\(\theta' = 2\cdot \theta\)

\(\theta' = 120^{\circ}\)

The angle between these radii must be 120º.

Answer:

(-2,-3)

Step-by-step explanation:

this is because when any point is flipped over y=-x, it makes both y and x negative.

hope this helps :)

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

x = 7

Step-by-step explanation:

Answer:

equate two simultaneous equations for r and solve

Answer:

area = 6

perimeter = 12

Step-by-step explanation:

area:

1.8+3.2 = 5

5*2.4 = 12

12/2 = 6

perimeter:

3+4+1.8+3.2 = 12

Answer:

52in^2

Step-by-step explanation:

The area of a triangle is A= 1/2bh

The area of a rectangle is A=lw

The base of the top triangle would be the length of the base of the two right triangles plus the length of the width of the the rectangle.

A=1/2bh

A=1/2(2+2+4)(4)

A=1/2(8)(4)

A=1/2(32)

A=16in^2

        2. The two right triangles

A=1/2bh

A=1/2(2)(6)

A=1/2(12)

A=6in^2

(Because the two triangle are the same we just multiply the area by 2 to get the value of both)

A=12in^2

       3. The rectangle

A=lw

A=6(4)

A=24in^2

-

Now just add the value of the areas for the different shapes.

16in^2 + 12in^2 + 24in^2 = 52in^2

To solve the fraction addition problem in C++, you can define a Fraction struct to represent fractions. Implement a gcd function to find the greatest common divisor.

Parse the input fractions and perform the addition using overloaded operators. Print the result. The code reads the input string, finds the "+" operator position, parses the fractions, performs the addition, and prints the sum.

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a. Salary is predicted to increase by approximately 0.012% if ros increases by 50 points.

The effect of ros on salary is not practically large.

b. The null hypothesis is that ros has no effect on CEO salary, and the alternative hypothesis is that ros has a positive effect.

The coefficient of ros is statistically insignificant at the 10% significance level, indicating that there is no evidence to support a positive effect of ros on salary.

c. Ros may not be included in the final model explaining CEO compensation in terms of firm performance since its coefficient is not statistically significant, suggesting that it has little impact on CEO salary after controlling for sales and role.

a. To calculate the percentage increase in salary if ros increases by 50 points, we can use the coefficient of ros from the regression equation. The coefficient of ros is 0.00024.

Percentage increase in salary = (Coefficient of ros) \(\times\) (Change in ros)

= 0.00024 \(\times\) 50 = 0.012

Therefore, the salary is predicted to increase by 0.012%, or 0.0012 in decimal form, if ros increases by 50 points.

To determine if ros has a practically large effect on salary, we need to consider the magnitude of the coefficient in relation to the overall scale of the data and other coefficients.

In this case, the coefficient of ros is relatively small (0.00024), suggesting that ros has a minor effect on CEO salary.

Therefore, ros does not have a practically large effect on salary.

b. To test the null hypothesis that ros has no effect on salary against the alternative that ros has a positive effect, we can perform a hypothesis test on the coefficient of ros.

The null hypothesis (H0) would be that the coefficient of ros is equal to zero (no effect), and the alternative hypothesis (Ha) would be that the coefficient is greater than zero (positive effect).

We can use the t-test statistic to test this hypothesis. With n = 209 and an alpha level of 0.10, we can compare the t-value for the coefficient of ros with the critical t-value from the t-distribution table.

If the t-value exceeds the critical t-value, we reject the null hypothesis in favor of the alternative.

c. Whether to include ros in a final model explaining CEO compensation in terms of firm performance depends on several factors.

Firstly, the coefficient of ros in the regression equation is relatively small (0.00024), indicating a minor effect on CEO salary.

Secondly, the p-value associated with the coefficient should be considered. If the p-value is less than the chosen significance level (e.g., 0.05), it suggests that the coefficient is statistically significant and not due to chance.

Additionally, other factors such as the theoretical significance of ros in relation to CEO compensation and the overall model fit (R2) should also be taken into account. If ros is theoretically meaningful and improves the overall model fit, it may be reasonable to include it in the final model. However, if ros is not theoretically relevant or does not contribute significantly to the model, it may be excluded.

Therefore, the decision to include ros in the final model should consider the statistical significance, theoretical relevance, and overall model fit, in addition to practical considerations and domain knowledge.  

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Answer:

\((2, \frac{7}{2} )\)

Step-by-step explanation:

The midpoint between two points is:

\((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\) when the given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (1,6) and (3,1)

\(= (\frac{1+3}{2} , \frac{6+1}{2} )\\= (\frac{4}{2} , \frac{7}{2} )\\= (2, \frac{7}{2} )\)

Therefore, the midpoint between (1,6) and (3,1) is \((2, \frac{7}{2} )\).

I hope this helps!

Given:

The above expression can be expressed as,

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.  

What is Dilation transformation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Enlargement is the term used when a dilatation results in a bigger picture.

Reduction occurs when a dilatation results in a smaller picture.

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10.  This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6.  this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

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The surface area of the prism is 240cm²

A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is given by ;

SA = 2B + pH

where B is the base area

P is the perimeter of the base

h is the height of the prism

Therefore, Base area = 1/2 bh

= 1/2 × 8 × 3

= 4× 3

= 12cm²

perimeter = 5+5+8

= 18cm

SA = 2(12) + 18× 12

SA = 24 + 216

SA = 240cm²

therefore the surface area of the prism is 240cm²

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The surface area of the figure which comprises of two identical triangles and a rectangle is equal to 120 square centimeters

area of a triangle = 1/2 × base × height

area for one of the triangles = 1/2 × 8 cm × 3 cm

area for one of the triangles = 12 cm²

area of the two identical triangles = 2 × 12 cm²

area of the two identical triangles = 24 cm²

area of rectangle = length × width

area of the rectangle = 12 cm × 8 cm

area of the rectangle = 96 cm²

Total surface area of the figure = 24 cm² + 96 cm²

Total surface area of the figure = 120 cm²

Therefore, the surface area of the figure which comprises of two identical triangles and a rectangle is equal to 120 square centimeters.

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Answer:

A right triangle

Step-by-step explanation:

A right triangle would meet these characteristics. A triangle's inner angles always add up to be 180 degrees. A right triangle has one angle at 90 degrees meaning the other two angles need to be less than 90 degrees and sum up to be 90 degrees. This would indicate that both of these angles' exterior angles would be obtuse because they would be wider than 90 degrees.

From the given function  f(x) = x² - 4,  f inverse (5) equals 3

An inverse function in mathematics is a function that undoes another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x. x .

An invertible function is one that has an inverse, and the inverse is represented by the symbol f - 1.

Hence inverse functions like in the problem. the output of f(x) when substituted into the input of g(x) gives same out put

f(x) = y = x² - 4 solving for the inverse

y + 4 = x²

x = √(y + 4)

interchanging the variables

y = √(x + 4)

f inverse (5) = √(5 + 4)

= √(9)

= 3

f inverse (5) equals 3

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The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

d

Step-by-step explanation:

Answer:

11/12

Decimal form: 0.916 (the 6 is continuous)

Step-by-step explanation:

The solution set is represented by the shaded region on the number line, including all values less than or equal to -5 and all values greater than or equal to -4.

To solve the absolute value inequality ∣x+6∣ < 0.006, we can split it into two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: x + 6 > 0

In this case, the absolute value inequality becomes x + 6 < 0.006. Solving for x, we have x < -5.994.

Case 2: x + 6 < 0

In this case, the absolute value inequality becomes -(x + 6) < 0.006. Solving for x, we have x > -6.006.

Combining the two cases, we have the solution: -6.006 < x < -5.994.

Graphically, the solution set is represented by an open interval between -6.006 and -5.994 on the number line.

For the second inequality, 2 - ∣2x+9∣ ≤ 1, we can isolate the absolute value term and solve it separately.

First, subtract 2 from both sides of the inequality:

-∣2x+9∣ ≤ -1.

Next, multiply both sides by -1, which changes the direction of the inequality:

∣2x+9∣ ≥ 1.

Now, we have two cases to consider:

Case 1: 2x + 9 ≥ 1

Solving for x, we have x ≥ -4.

Case 2: -(2x + 9) ≥ 1

Solving for x, we have x ≤ -5.

Combining the two cases, we have the solution: x ≤ -5 or x ≥ -4.

Graphically, the solution set is represented by the shaded region on the number line, including all values less than or equal to -5 and all values greater than or equal to -4.

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The given inequality is

First, we need to isolate y

To do that we want to move 2y from the right side to the left side, then

To do that subtract 2y from 3y and subtract 2y from (2y + 3)

Since 3y - 2y = 1y

Since 2y - 2y = 0

Since 0 + 3 = 3

Then the answer is

The answer is B

Answer:

for 1$ the probability would be 6 over 12 but we can simplify it to 1 over 12. and the other would be 1 over 3