b) After allowing 16% discount on the marked price of a watch, 13% Value Added Tax (VAT) was levied on it. If the watch was sold for Rs 4,746, calculate the marked price of the watch.​

An angle of rotation is the measure of the amount that a figure is rotated about a fixed point called a point of rotation.

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Miriam needs 8 consecutive throws to win

Here, we want to calculate the number of throws consecutively that Miriam must make into the cup to beat Ishak

Since Ishak made 48% already, Miriam must make 52%

Out of 30, she made 12;

This represents a percentage of;

Let the number of throws needed be x;

So;

So what this mean is that, out of 38 throws, 20 would enter, with the last 8 being consecutive

The height of the cup that can be made from the least amount of paper is 17 cm.

A cone-shaped paper cup is to hold 100 cubic cm of water. Find the height and the radius of the cup that can be made from the least amount of paper.

Use the volume of a cone formula: (1/3)*pi*r^2*h = V; to find h in terms of r.

(1/3)*pi*r^2*h = 100

multiply equation 3 to get rid of the denominator

pi*r^2*h = 300

h = 300/(pi * r^2)

:

Using the surface area equation: SA = pi*r^2 + (pi*r*L), find L using r and h

L = \(\sqrt{h^{2} +r^{2} }\)

Substitute above for L in the SA equation

:

\(SA = \pi r^{2} + \pi r\sqrt{\frac{300}{\pi r^{2} } + r^{2} }\)

:

Using this equation in my TI83, the graph showed the minimum radius to occur at appox 2.37 cm

:

Find the height using this value:

h = 17 cm

Check solution by finding the volume

V = (1/3) * pi * 2.37^2 * 17

V = 99.994 ~ 100 cm

Hence , the height of the cup that can be made from the least amount of paper is 17 cm.

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The length of segment AP is also equal to the absolute value of the y-coordinate of the given point (i.e. |2| = 2). This is because the y-coordinate of the point lies on the line. So, the correct option is B.  

We are given the coordinates of a point in the orthogonal Cartesian reference system. We are to find the distance of this point from a given line..

Step 1: The equation of the given line : The equation of the given line is not given in the problem statement.

Therefore, we need to find it first.We are given that the line has a y-intercept of 2. So, its equation can be written as:

y = mx + 2 where m is the slope of the line. We need to find the value of m.

The line is orthogonal to the line with equation x = 2.

It means that the given line is vertical. The slope of a vertical line is undefined. So, the equation of the given line is x = 94.

Step 2: The distance of the given point from the line :

Let's draw a diagram for better visualization.The point with coordinates (94, 2) is shown in the diagram. The equation of the line is x = 94.

The shortest distance from the point to the line is the perpendicular distance from the point to the line.

Let the perpendicular from the point to the line meet the line at point P.

Then, the distance of the point from the line is the length of segment AP.

The x-coordinate of point P is 94 (as the line is vertical). The y-coordinate of point P is 0 (as the point lies on the x-axis).

Therefore, coordinates of point P are (94, 0).We need to find the length of segment AP.

The length of segment AP can be found using the distance formula as:

AP = √((94 - 94)² + (2 - 0)²)

AP = √4

= 2

Therefore, the distance of the point with coordinates (94, 2) from the line with equation x = 94 is 2.

So, the correct option is B.

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The point(s) on the curve where the tangent line has a slope of -31 are x = 3(1 / 186)² + 1 and y = 13 - (1 / 186).

The point(s) on the curve x = 3t² + 1, y = 13 - t where the tangent line has a slope of -31 can be found by determining the value(s) of t that satisfy this condition. By taking the derivative of y with respect to x, we can find the slope of the tangent line:

dy/dx = (dy/dt) / (dx/dt) = -1 / (6t)

Setting the derivative equal to -31 and solving for t, we have:

-1 / (6t) = -31

Simplifying, we find t = 1 / (186).

Substituting this value of t into the parametric equations x = 3t² + 1 and y = 13 - t, we can determine the corresponding point(s) on the curve. Plugging t = 1 / (186) into the equations, we get x = 3(1 / (186))² + 1 and y = 13 - (1 / (186)).

Further simplification yields the coordinates of the point(s) where the tangent line has a slope of -31.

Regarding the second question, the provided equation represents a parametric form of an ellipse, where x = a cos(θ) and y = b sin(θ). To find the area enclosed by the ellipse, we can integrate the equation with respect to θ from 0 to 2π. However, without specific values for a and b, it is not possible to calculate the exact area. The area of an ellipse is generally given by the formula A = πab, where a and b represent the semi-major and semi-minor axes of the ellipse.

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Given:

The height of the pyramid is h = 3ft

The base of the pyramid is square.

The side of the square is a =16 ft.

Required:

We need to find the surface area of the pyramid.

Explanation:

Consider the surface area of the pyramid formula.

Use the Pythagorean theorem to find the slant height l.

Final answer:

The surface area of the given pyramid is

Answer:

multiply the probability of the first event by the second.

Step-by-step explanation:

Use the specific multiplication rule formula. Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.

Answer:

\(\frac{1}{26} * \frac{1}{26} = \frac{1}{676} = .00148.\)

Step-by-step explanation:

Multiply the probability of P by the probability of Q.

In which the probability of P is equal to \(\frac{R}{Total NumberOf LettersInAlphabet} = \frac{1}{26}\)

In which the probability of Q is equal to \(\frac{P}{Total NumberOf LettersInAlphabet} = \frac{1}{26}\)

There's a 1 in 676 chance that you'd randomly pick R, put the tile back in, and then pick P in a sack of 26 letters of the latin alphabet.

Answer:

g(-6) = -8

Step-by-step explanation:

g(x) = 2x + 4

g(-6)= 2(-6) + 4

g(-6) = -12 + 4

g(-6) = -8

The vertical line's equation is x = -7, and the horizontal line's equation           Is y = 7.

Where the given coordinate is (--7, 7).

Here,

The value of x, is -7, will never change for a vertical line. This holds true for any y value. As a result, x = -7 is the equation for a vertical line passing through this point.

Similarly, the value of y, is 7, will never change for a horizontal line. This holds true for any x value. As a result, the equation for a horizontal line passing through this point is as follows: y =7

As a result, the vertical line's equation is x = -7 and the horizontal line's equation is y = 7.

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Answer:

B : inscribed angle theorem

Step-by-step explanation:

The missing reason in step 5 is; Inscribed angle theorem.

Within the context of circle geometry, an inscribed angle is the angle formed in the interior of a circle as a result of the intersection of two chords on the circumference of the circle.

Put differently, an inscribed angle is defined by two chords of the circle sharing an endpoint.

Ultimately, since the chords LM and MN intersect on the circumference, with LM being the diameter of the circle, then the measure of angle LMN is 90°.

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Answer:

$58.05

Step-by-step explanation:

\( \frac{7.5}{100} \times 54 = 4.05\)

\(54 + 4.05 = 58.05\)

i think this is the answer

Answer:

$58.05

Step-by-step explanation:

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

Answer:

I would say the answer is 0.69

Step-by-step explanation:Because if you multiply 7 times 0.69 it gives you 4.83

Answer:

The answer is 1.45

Step-by-step explanation:

Divide 7 and 4.83 and the answer is 1.447.

The elimination of x is find by elimination method.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations is,

⇒ 9x - 7y = - 3

⇒ - 3x + 5y = 9

Now,

Eliminate the value of x as;

The system of equations is,

⇒ 9x - 7y = - 3     ...(i)

⇒ - 3x + 5y = 9    ...(ii)

Multiply by 3 in equation (ii) and add with the equation (i), we get;

⇒ 9x - 7y + (-9x + 15y) = - 3 + 27

⇒ 9x - 7y - 9x + 15y = 24

⇒ 8y = 24

⇒ y = 3

Thus, The elimination of x is find by elimination method.

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Answer:

i want my kiss first

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZ

It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.

First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:

Monthly interest rate = (18% / 12) / 100 = 0.015

Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:

Balance = $3052.41

Monthly payment = $55

To determine the time in months, we'll use the formula:

Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))

Using this formula, the calculation would be:

Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))

Calculating this equation gives us approximately 140.3 months.

Since we want to find the number of years, we divide the number of months by 12:

Number of years = 140.3 months / 12 months/year ≈ 11.7 years

Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

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Answer:

False

Step-by-step explanation:

Geometric series have ratios.

The ratio here is 2.

So the next term should be -8.

Answer:

Some subjects are more important than others. You have to be working in a field where the concepts you learn in school.

I'd say that everything you learn in middle school and Algebra 1 + 2 , maybe a little of geometry you'll use at some point in your life.

Step-by-step explanation:

Everyone has asked themselves: When will I use math? Well, hundreds of careers use skills learned in high school math on a daily basis. The truth is virtually every career you could choose will build on the basic skills learned in High School Math.

But there are a number of craft and fine arts careers that do not require math skills or involve using them regularly, such as being a painter or sketch artist. Craft and fine artists produce original works that will be displayed or sold, and they may work with a range of materials, such as paint, glass or ink.

To conclude I might say that math is important and everyone should know more than just some basic skills in math.Life is long and sometime harsh for most of us and not always we get in life what we want,probably we will end up doing a job that it was not our dream job.

Or our preferences might change depending on different aspects of life.So knowing a 'little bit' from every subject we do in school is not a bad thing,at the end we know all that greatest things are achived will a hard work!So we should learn as much as we can! Math especially!

And all our hard work will be payed at the end,just remember this!

:)

D. At the end of 20 years, the policy's cash value will equal $100,000 is INCORRECT regarding a $100,000 20-year level term policy.

A $100,000 20-year level term policy is a type of life insurance policy that provides a fixed amount of coverage for a set period of time. The premiums for this policy will remain level for the entire 20 years and, if the insured dies during that time, the beneficiary will receive the full $100,000. However, the policy will expire at the end of the 20-year period and the cash value will not equal the $100,000. As a result, it is untrue to say that $100,000 will be the policy's cash value after 20 years.

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The mode of a sample is the value that appears most often in the data set. It can be larger, smaller or equal to the mode of the population, depending on the sample size and the distribution of the population.

The mode of a sample is not necessarily equal to the mode of the population if the sample is truly random, as there is no guarantee that the most frequent value in the population will appear in the sample.

For example, let’s say the population has a mode of 10. If the sample size is 50, the probability of the sample having a mode of 10 is 0.2. The probability of the sample having a mode of 11 or larger is 0.4. The probability of the sample having a mode of 9 or smaller is also 0.4.

This means that the mode of the sample can be larger, smaller or equal to the mode of the population. It does not have to be equal to the mean of the population, as the mean is an average of all the values in the population and is not necessarily the most frequent value. Furthermore, the mode of the sample cannot be 500, as this is the size of the population, not a value that appears in the data set.

The mode of the sample can be larger, smaller or equal to the mode of the population, and cannot be equal to the mean of the population or equal to the size of the population.

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The fixed asset turnover ratio for Gemology Inc. is 8.5.

The fixed asset turnover ratio measures how efficiently a company utilizes its fixed assets to generate sales.

It is calculated by dividing net sales by average net fixed assets.

To calculate the average net fixed assets, we sum the net fixed assets at the beginning and end of the period and divide by 2.

Given the information provided,

The net fixed assets at the beginning of the period are $125,000 and the net fixed assets at the end of the period are $75,000.

Therefore, the average net fixed assets would be

($125,000 + $75,000) / 2 = $100,000.

The net sales for Gemology Inc. are $850,000.

Now, we can calculate the fixed asset turnover ratio by dividing net sales ($850,000) by the average net fixed assets

($100,000): $850,000 / $100,000 = 8.5.

Therefore, the fixed asset turnover ratio for Gemology Inc. is 8.5, indicating that the company generates $8.50 of sales for every dollar invested in fixed assets.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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A characteristic of quality data which pertains to the expectation for the time between when data are expected and when they are available for use is timeliness of information.

Information's timeliness is a crucial aspect of data quality since incomplete or outdated information can influence people's actions. That consequently costs businesses time, money, and reputational harm.

The term "completeness" describes how thorough the information is. Consider if all the information you require is there when evaluating data completeness; for example, you might just require a customer's first and last name, but their middle initial might be optional.

Reliability in the context of data quality traits refers to the absence of contradiction between one piece of information and another piece of information from a different source or system.

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The given expression is simplified as x² + 3x - 4.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

((4x²+ 12x - 16) / (2x + 10)) / ((6x + 24) / (x ²+ 9x + 20))

It can be simplified as,

((4x²+ 12x - 16) (x ²+ 9x + 20)) / (2x + 10) (6x + 24)

Now, (4x²+ 12x - 16)  and  (x ²+ 9x + 20) can be factorised as,

4x²+ 12x - 16 = 4x²+ 16x - 4x - 16

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

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

And, x ²+ 9x + 20 = x ²+ 5x + 4x + 20

                            = x(x + 5) +4(x + 5)

                            = (x + 4) (x + 5)

Substitute the factors to get the expression as,

(4x - 4) (x + 4) (x + 4) (x + 5) /  (2x + 10) (6x + 24)

= (4x - 4) (x + 4) (x + 4) (x + 5) /  2 × 2(x + 5) (x + 4)

=  (4x - 4) (x + 4) / 4

= 4(x - 1) (x + 4) / 4

= (x - 1) (x + 4)

= x² + 3x - 4

Hence, the given expression can be simplified as  x² + 3x - 4.

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Answer:

y >  −4 + 2 x

Step-by-step explanation:

No, being 2-edge-connected is not a transitive property. Counterexamples can be constructed to show that the conclusion does not always hold.

For example, consider a graph with four vertices v, w, x, and y, where v and w are adjacent, as well as w and x, and x and y. In this case, v and w, and w and y are 2-edge-connected, but v and y are not 2-edge-connected since there is only one edge connecting them.

Thus, it can be concluded that being 2-edge-connected is not a transitive property, and counterexamples can be constructed to demonstrate this fact.

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The probability of getting at least one question wrong can be found by calculating the probability of getting all questions right and subtracting it from 1.

Since each question has 4 possible answers, the probability of getting a question right is 1/4. Therefore, the probability of getting all questions right is (1/4)^8.

To find the probability of getting at least one question wrong, we subtract the probability of getting all questions right from 1:

1 - (1/4)^8 = 1 - 1/65536

Therefore, the probability of getting at least one question wrong is 65535/65536.

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities in equiprobable sample spaces, probability of the union of two events, probability of the complementary event, etc.

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