find the area of the sector of a circle with radius 6 miles formed by a central angle of 2.8 radians:

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

Learn more about  balance from

https://brainly.com/question/28767731

#SPJ11

Answer:

m∡r = 35°

m∡t = 145°

m∡u = 35°

m∡v = 90°

m∡w = 125°

Step-by-step explanation:

m∡r = 180-(134+11)

= 180 - 145

m∡r = 35°

m∡r + m∡t = 180°

35 + t = 180

m∡t = 145°

m∡t + m∡u = 180°

145 + u = 180

m∡u = 35°

m∡u + m∡v + 55° = 180°

35 + 55 + m∡v = 180

m∡v = 90°

m∡w + 55° = 180°

m∡w  = 125°

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

We have,

The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.

Geometrically,

It represents the distance of a point on the number line from point 2.

On the coordinate plane,

The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).

The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.

Thus,

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

Know more about Confidence intervals here: https://brainly.com/question/24131141

#SPJ4

the domain of the vector function is the intersection of the domains of the component functions, which is:

(-2, 3) U (3, ∞)

To find the domain of the vector function, we need to consider the domains of the component functions. In particular, we need to make sure that the denominators in the component functions are not zero and the arguments of the logarithmic functions are positive.

For the x-component, we have:

t+2 ≠ 0

which gives t ≠ -2.

For the y-component, there are no restrictions on the domain of sin(t).

For the z-component, we have:

9-t^2 > 0

which gives -3 < t < 3.

Note that we exclude the value t = -2 from the domain because it makes the x-component undefined. We express the final answer in interval notation as (-2, 3) U (3, ∞).

To know more about functions visit:

brainly.com/question/31062578

#SPJ11

Answer: y = 3

Step-by-step explanation:

2y - 14 = -8

2y - 14 + 14 = -8 + 14

2y = 6

y = 3

Answer: x= 95° ;  y= 35°

Step-by-step explanation:

If J II K (symmetrical), then x°= 180°- 85°

                                            x°= 95°

In addition to this, because the J II K lines are symmetrical:

                               (5y-90)°= 85°

                              5y°- 90° = 85°

                                       5y°= 85°+ 90°

                                      5y° = 175°

                                  5y°/ 5 = 175°/5

                                          y°= 35°

The triangle as shown can be said to be similar on the basis of SSS.

Similar triangles are triangles that have the same shape, but not necessarily the same size. This means that their corresponding angles are equal and their corresponding sides are in proportion.

In other words, if you were to scale one triangle up or down uniformly, it would become identical to the other triangle. Two triangles are similar if and only if their corresponding angles are congruent and their corresponding sides are proportional.

Learn more about similar triangles:https://brainly.com/question/14926756

#SPJ1

Marx's analysis suggests that the organization of the production process determines ideas, beliefs, and consciousness. Class plays a crucial role in this relationship, as the dominant class shapes the prevailing ideology. Class consciousness refers to the awareness of one's social class and the recognition of shared interests with others in the same class.

1. Marx argues that the organization of the production process, particularly the relationship between the bourgeoisie (owners of the means of production) and the proletariat (the working class), influences ideas, beliefs, and consciousness. The dominant class, the bourgeoisie, controls the means of production and therefore holds power over the proletariat.

2. In this relationship, the dominant class promotes and disseminates its own ideology to maintain and justify its position of power. This ideology serves to reinforce the existing social order, perpetuating the interests of the dominant class while obscuring the exploitation of the proletariat.

3. Class consciousness, according to Marx, refers to the awareness among members of a particular social class about their common economic and social interests. It involves recognizing the shared experiences and struggles of individuals within the same class and understanding their collective potential for social change.

4. The dominant class actively works to suppress class consciousness among the proletariat by promoting false consciousness, which is the adoption of ideas and beliefs that are contrary to the proletariat's true interests. This false consciousness serves to maintain the status quo and prevent the emergence of a unified working-class movement.

5. Marx views ideology as a system of ideas and beliefs that reflect the interests and values of the dominant class. Ideology serves to justify and legitimize the existing social order by framing it as natural, fair, and inevitable. It operates through institutions such as the education system, media, and religion, which disseminate and reinforce the dominant ideology.

To know more about production refer to:

https://brainly.com/question/16755022

#SPJ11

The gift that would NOT be considered rebating is option B, the $20 t-shirt without the insurer's name.

Rebating in the insurance industry refers to the act of providing something of value as an incentive to purchase insurance. In the given options, A, C, and D involve gifts with the insurer's name, which can be seen as promotional items intended to indirectly promote the insurer's business.

These gifts could potentially influence the customer's decision to choose that insurer.

However, option B, the $20 t-shirt without the insurer's name, does not have any direct association with the insurer. It is a generic gift that does not specifically promote the insurer or influence the purchase decision.

Therefore, it would not be considered rebating since it lacks the direct inducement related to insurance.

Rebating regulations aim to prevent unfair practices and maintain a level playing field within the insurance market, ensuring that customers make decisions based on the merits of the insurance policy rather than incentives or gifts.

To learn more about insurance click here

brainly.com/question/30241822

#SPJ11

The amount of plastic covering needed to cover the window is 25.71.

The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.

Circumference of the semi circle = 1/2πd + d

Where:

π = 3.14

d = diameter = 3

1/2 x 3.14 x 3 + 3 = 7.71

Perimeter of the rectangle = 2(length + width)

2x (6 + 3) = 18

18 + 7.71 = 25.71

Please find attached an image of the window. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

The cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

To determine the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, we need to calculate the net cash flow.

Given information:

Cost of the pizza oven: $600

Expected lifespan: 10 years

Cash inflows: $880 per year for the next 5 years

Cash outflows: $240 per year for the next 5 years

Tax rate: 34%

Calculate the annual depreciation expense:

Depreciation Expense = Cost of the pizza oven / Expected lifespan

Depreciation Expense = $600 / 10 = $60 per year

Calculate the taxable income:

Taxable Income = Cash Inflows - Depreciation Expense - Cash Outflows

Taxable Income = $880 - $60 - $240 = $580

Calculate the tax amount:

Tax Amount = Taxable Income * Tax Rate

Tax Amount = $580 * 34% = $197.20

Calculate the net cash flow:

Net Cash Flow = Cash Inflows - Cash Outflows - Tax Amount

Net Cash Flow = $880 - $240 - $197.20 = $442.80

Therefore, the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

To know more about Expense visit -

brainly.com/question/31469833

#SPJ11

The cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

To determine the cash flow for the pizza restaurant in the second year, we need to calculate the net cash flow by subtracting the total cash outflows from the total cash inflows, taking into account the tax rate.

Given:

Cost of the oven: $600

Expected life of the oven: 10 years

Cash inflows per year: $880

Cash outflows per year: $240

Tax rate: 34%

First, we calculate the annual depreciation expense using the straight-line method:

Depreciation expense per year = Cost of the oven / Expected life of the oven

Depreciation expense per year =\(\$600 / 10 = \$60\)

Next, we calculate the taxable income for each year:

Taxable income per year = Cash inflows per year - Depreciation expense per year - Cash outflows per year

Taxable income per year = \(\$880 - \$60 - \$240 = \$580\)

Then, we calculate the tax payable for each year:

Tax payable per year = Taxable income per year * Tax rate

Tax payable per year =\(\$580 * 0.34 =\$197.20\)

Finally, we calculate the net cash flow for the second year:

Net cash flow = Cash inflows per year - Cash outflows per year - Tax payable per year

Net cash flow =\(\$880 - \$240 -\$197.20 = \$442.80\)

Therefore, the cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

Learn more about cash flow

https://brainly.com/question/27994727

#SPJ11

The equation of a line that passes through the point (27, 2) and is perpendicular to the line -9x + 2y = 0 can be found using the properties of perpendicular lines. The equation is  -9x + 2y = 0 is y - 2 = (-2/9)x + 6.

To obtain the equation, we need to determine the slope of the given line and then find the negative reciprocal of that slope. The negative reciprocal of a slope is a property of perpendicular lines. Once we have the new slope, we can substitute it into the point-slope form of a linear equation.The given line has the equation -9x + 2y = 0. To find its slope, we can rearrange the equation in the slope-intercept form (y = mx + b), where m represents the slope. By isolating y, we have 2y = 9x, which simplifies to y = (9/2)x. Comparing this equation with y = mx + b, we can see that the slope of the given line is m = 9/2.

To find the negative reciprocal of this slope, we take the reciprocal of 9/2 (which is 2/9) and then negate it (change the sign). Therefore, the slope of the perpendicular line is -2/9.Now that we have the slope (-2/9) and the point (27, 2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). Plugging in the values, we get y - 2 = (-2/9)(x - 27). Simplifying this equation gives us the final result: y - 2 = (-2/9)x + 6.

The equation of the line that passes through the point (27, 2) and is perpendicular to the line -9x + 2y = 0 is y - 2 = (-2/9)x + 6. This equation was obtained by finding the negative reciprocal of the slope of the given line and using point-slope form of a linear equation.

To learn more about perpendicular lines click here : brainly.com/question/18271653

#SPJ11

The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

\(Speed = \dfrac{D}{T}\)

Given that:

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

\(S =\dfrac{D}{T}\)

\(20=\dfrac{d}{t}\)

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

Learn more about forming equations here:

brainly.com/question/11938672

#SPJ1

Answer:

your correct good job

The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.

- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.

- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.

- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.

- The decision aligns with the organization's values and mission, which resonates positively with the public.

- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.

- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.

The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.

- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.

- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.

- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.

- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.

The Admired Observer Test Score: 9

- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.

- The decision is aligned with industry best practices and follows ethical guidelines.

- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.

- The decision is well-reasoned, considering both short-term and long-term implications.

- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.

The Transparency Test Score: 7

- The Transparency Test evaluates whether the decision-making process is transparent and accountable.

- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.

- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.

- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.

- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.

- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.

- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.

- The decision-maker has considered the ethical implications and personal integrity while making the decision.

- The decision reflects a commitment to fairness, honesty, and accountability.

I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.

- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.

- It reflects a commitment to fairness, equality, and reciprocity in relationships.

- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.

- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.

Learn more about empathy here

https://brainly.com/question/20047598

#SPJ11

An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

Know more about the annual payment

https://brainly.com/question/23168751

#SPJ11

The volume of a sphere is given by the formula V = (4/3)πr^3, where V is the volume and r is the radius.

Let's denote the radius of the smallest snowball as r. According to the given information, the radius of the largest snowball is 1.5 times the radius of the smallest snowball, so its radius is 1.5r.

The volume of the smallest snowball is V_small = (4/3)πr^3.

The volume of the largest snowball is V_large = (4/3)π(1.5r)^3 = (4/3)π(3.375r^3) = (4/3)(3.375)(πr^3) = (4.5)(πr^3).

To find how many times greater the volume of the largest snowball is than the volume of the smallest snowball, we divide the volume of the largest snowball by the volume of the smallest snowball:

(V_large / V_small) = (4.5)(πr^3) / ((4/3)πr^3) = (4.5)/(4/3) = (4.5)(3/4) = 3.375.

Therefore, the volume of the largest snowball is 3.375 times greater than the volume of the smallest snowball.

Visit here to learn more about volume brainly.com/question/13338592
#SPJ11

The probability that the mean weekly wage of a randomly selected group of 16 workers from the factory will be within $3 of the population mean wage is 0.98

To solve this problem,

We can use the central limit theorem which states that the sample means from a large sample will be approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

First, we need to find the standard error of the mean, which is equal to the standard deviation divided by the square root of the sample size:

Standard error of the mean = 5 / sqrt(16) = 1.25

Next, we need to find the z-score for the lower and upper bounds of the sample mean:

lower z-score = (402 - 405) / 1.25 = -2.4

upper z-score = (408 - 405) / 1.25 = 2.4

We can use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores:

lower probability = 0.0082

upper probability = 0.9918

To find the probability that the sample mean is within $3 of the population mean we need to subtract the lower probability from the upper probability:

Probability = 0.9918 - 0.0082 = 0.9836

For similar question on probability:

https://brainly.com/question/23044118

#SPJ11

Answer: B

Step-by-step explanation:

The answer is B.

When the sign is < or >, this means that the line is dashed, as it does not include those points as part of the solution. When the sign is \(\leq\) or \(\geq\), the line is solid, since the points on it are part of the solution.

Knowing this, we can eliminate A and D.

In order to find out if the shaded part is above or below, you must know that if the sign is less than (< or \(\leq\)), than the area underneath it will be shaded, and if the sign is greater than (> or \(\geq\)), that the area above it will be shaded.

So, this leaves us with B as the only answer choice, since the line is dashed and must be below the line.

The value of angle A is 43⁰.

The value of arc CE is 44⁰.

The value of angle C is 43⁰.

The value of angle ABE is 90⁰

The value of angle A is calculated by applying the following formula as shown below;

∠A  = ¹/₂ arc BD (intersecting chord theorem)

∠A  = ¹/₂ x 86⁰

∠A  = 43⁰

arc CE = 2 ∠mCBE

arc CE = 2 x 22

arc CE = 44⁰

∠A = ∠ C (vertical opposite angles are equal)

∠C = 43⁰

∠ABE = 90⁰

Learn more about intersecting chord theorem here: https://brainly.com/question/13950364

#SPJ1

Answer:

7/12

Step-by-step explanation:

5/6 - 1/4 =

You need a common denominator. The least common multiple of 6 and 4 is 12, so we will use 12 as the common denominator. Both denominators have to become 12.

Change 5/6 to a fraction with 12 as its denominator:

12/6 = 2

2 × 5 = 10, so

5/6 = 10/12

Change 1/4 to a fraction with 12 as its denominator:

12/4 = 3

3 × 1 = 3, so

1/4 = 3/12

Now we replace the fractions 5/6 and 1/4 with their equivalent fractions with 12 as the denominator.

5/6 - 1/4 =

= 10/12 - 3/12

= 7/12

Answer: 7/12

The mean of the first population is not significantly larger than that of the second population. The p-value is 0.093.

Population 1: N = 35,X = 5.3, S = 2.8

Population 2: N = 21, X = 4.9, S = 3.2

We can use the t-test to test if the mean of the first population is larger than that of the second population. The formula for this is:

t = (x1 - x2) / (S√((1/N1) + (1/N2)))

Where x1 is the mean of population 1, x2 is the mean of population 2, S is the pooled standard deviation, and N1 and N2 are the sample sizes of the two populations.

Plugging in our values, we get:

t = (5.3 - 4.9) / (3.2√((1/35) + (1/21))) = 1.68

Using an online calculator, we find that the corresponding p-value is 0.093. Therefore, we fail to reject the null hypothesis that the two populations have the same mean and conclude that the mean of the first population is not significantly larger than that of the second population. The p-value is 0.093.

Learn more about t-test here:

https://brainly.com/question/15007844

#SPJ4

Answer:

m=-2/-1 or m=-2

Step-by-step explanation:

Find two points on the line, then use this formula:  m=rise/run  or m=y2-y1/x2-x1

m=0- 2/-3-(-2)

m=-2/-1 or m=-2

Critical points and their classifications using an interval chart:Given function is

F(x) = 2x^3 + 9x^2 + 12x

Now, to find the critical points, we first find the derivative of the function F(x) and then equate it to zero to find the critical points.

F'(x) = 6x^2 + 18x + 12 = 6(x^2 + 3x + 2) = 6(x + 1)(x + 2)

Equating

F'(x) = 0,

we get the critical points as -1 and -2.

To classify the critical points, we use the interval chart as shown below:Interval: (-∞, -2) -2 -1 (-1, ∞)Sign of F'(x) : -ve +ve -veType of Point: Local Maximum Local Minimum Local MaximumThus, the critical points for the given function

F(x) = 2x^3 + 9x^2 + 12x

are -1 and -2 and the function has local maxima at

x = -1

and local minima at

x = -2.

Sketching the graph of the function:

F(x) = 2x^3 + 9x^2 + 12x

By substituting

x = 0,

we get the y-intercept as

F(0) = 0 + 0 + 0 = 0.

Thus, the y-intercept is at the origin (0, 0).By substituting y = 0, we get the x-intercept as 0 (which is a triple root of F(x)).

Thus, the x-intercept is at (0, 0).The critical points obtained from the interval chart are marked on the graph. Since the function has local maxima and minima at the critical points, the graph changes its direction of curvature at these points. This information is also indicated on the graph. We can also observe that the graph of the function is an upward opening curve which crosses the x-axis at the origin. Thus, the graph of the function looks like:Critical points and their classifications using an interval chart: Critical points: -2 and -1Type of Point: Local Maximum and Local Minimum, respectivelyThe function has local maxima at x = -1 and local minima at x = -2.

To know more about interval visit:

https://brainly.com/question/29179332

#SPJ11

Answer:

12 mph

Step-by-step explanation:

per means divided by so

48 miles / 4 hour

12 m/h

Answer:

J

Step-by-step explanation:

First you convert every number into a decimal to make it easier. 4.25 and -6.5 are already decimals, so don't worry about those. 1/2 is equal to .5, and -4/5 is equal to -.8 . The correct order for greatest to least would be J- 4.25, .5, -.8, -6.5

To calculate the radial component of velocity at t = 2 seconds, substitute t = 2 into the parametric equations to obtain the values of x(2) and y(2). Then differentiate x(t) and y(t) to get x'(t) and y'(t). Finally, substitute all the values into the formula to find v_r at t = 2.

The radial component of velocity refers to the component of velocity that points directly away from or towards the origin of the coordinate system. To compute the radial component of velocity at t = 2 seconds for the given particle's parametric equations, we need to find the rate of change of the distance from the origin.

The parametric equations given are for x and y positions of the particle at time t. Let's denote the x-coordinate as x(t) and the y-coordinate as y(t).

To find the radial component of velocity, we can use the following formula:

v_r = (x(t) * x'(t) + y(t) * y'(t)) / √(x(t)^2 + y(t)^2)

where x'(t) and y'(t) represent the derivatives of x and y with respect to t.

Learn more about velocity:

https://brainly.com/question/30559316

#SPJ11

Answer:

E. 0.23331

Step-by-step explanation:

⇒ As 21 is a common factor, take the remaining as powers of 10.