Triangle FUN has vertices with coordinates F(-6, 4), U(2, 2), and N(-2, -8). Dilate using the Scale factor of 2. What are the coordinates of the dilated image F’U’N’?

explain

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Answer:

Area of trapezoid = 200 m²

Step-by-step explanation:

Parallel side1 a= 15m

Parallel side2 b= 25m

Perpendicular distance h = 10 m

We need to find area of the trapezoid.

The formula used to find area of the trapezoid is: \(Area \ of \ trapezoid=\frac{a+b}{2}h\)

Putting values and finding area of the trapezoid:

\(Area \ of \ trapezoid=\frac{a+b}{2}h\\Area \ of \ trapezoid=\frac{15+25}{2}\times 10\\Area \ of \ trapezoid=40\times5\\Area \ of \ trapezoid=200 \ m^2\)

So, area of trapezoid = 200 m²

Answer:

30

Step-by-step explanation:

Therefore, the amount that can be withdrawn quarterly from the account for 20 years, assuming ordinary annuity is $7,366.99. Option (d) is correct.

An account paying 4.6% interest compounded quarterly has a balance of $506,732.32.

The amount that can be withdrawn quarterly from the account for 20 years, assuming ordinary annuity is $7,366.99 (option D). Explanation: An ordinary annuity refers to a series of fixed cash payments made at the end of each period.

A typical example of an ordinary annuity is a quarterly payment of rent, such as apartment rent or lease payment, a car payment, or a student loan payment. It is important to understand that the cash flows from an ordinary annuity are identical and equal at the end of each period. If we observe the given problem,

we can find the present value of the investment and then the amount that can be withdrawn quarterly from the account for 20 years, assuming an ordinary annuity.

The formula for calculating ordinary annuity payments is: A = R * ((1 - (1 + i)^(-n)) / i) where A is the periodic payment amount, R is the payment amount per period i is the interest rate per period n is the total number of periods For this question, i = 4.6% / 4 = 1.15% or 0.0115, n = 20 * 4 = 80 periods and A = unknown.

Substituting the values in the formula: A = R * ((1 - (1 + i)^(-n)) / i)where R = $506,732.32A = $506,732.32 * ((1 - (1 + 0.0115)^(-80)) / 0.0115)A = $506,732.32 * ((1 - (1.0115)^(-80)) / 0.0115)A = $7,366.99

Therefore, the amount that can be withdrawn quarterly from the account for 20 years, assuming ordinary annuity is $7,366.99. Option (d) is correct.

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Answer:

y=3/4x-2

Step-by-step explanation:

The first thing you would do is you would get a graph.

Now write down the point (8,4) (remember to label)

Remember (8,4) is where x is 8 and y is 4

A slope of 3/4 is also known as rise/run. This means in this problem you would rise 3 and move to the right 4. If the slope were negative you would do the opposite direction. For example -1/2 would be go down one move right four.

*You should graph points above and below your point

After that you would go from the point (8,4) and rise 3 and move over to the right 4. This gives you the point (12,7).

Write down that point.

Next you would do another point. So that means you could go down 3 and move 4 to the left which gives you the point, (4,1)

*I recommend having more than two points, but only two points are needed to make a line.

Now you can find the y-intercept with your graph and put it on your equation.

if you want to do it without a graph you need to know this formula.

y=mx+b where m is the slope and b is the y intercept.

Next, put in the equation what you already know so m=3/4.

That give you y=3/4x+b

Next, to find the y intercept plug in the point (8,4). This way you can find the y intercept.

this gives you: 4=3/4(8)+b

Solve for b.

b=-2 so that your y intercept.

So your equation is: y=3/4x-2.

*I recommend checking my work, but this is what I got.

Hope this helped!

We have to put the triangular side as the base.

So, the height of the tent is signified by the red line, h.

Shown below:

The volume of the triangular prism is area of triangle x height

Let's find the area of the triangle, A_T:

The height is 10.

The volume is 280.

Substituting into the formula, let's sovle for "h". Shown below:

The bars in a histogram are not separated because the data being represented is continuous.

A histogram is a graphical representation of the distribution of data. Histograms are used to illustrate the frequency of data values in a set of information. They provide an estimation of the probability distribution of a continuous variable, which is critical for data analysis in numerous fields.

A histogram can be a bar chart with a frequency count, percentage frequency, or density. Histograms are used to visualize continuous data because they represent an estimation of the underlying probability density function of the random variable that produces the data.

Continuous data is quantitative data that can be measured and manipulated in fractions or decimal points. This data is often represented as a line on a graph. Discrete data, on the other hand, can only take on specific values that are distinct from one another.

Examples of discrete data are the number of pets you have or the number of cars in your garage. They can also be represented graphically as a bar graph because the information falls into discrete bins.

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The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Answer:

Sorry if this is wrong I haven't done this in like a year or two but it should be B.

Step-by-step explanation:

Would take seven years to type out and not sure if I even did the math right

The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

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a. The 95% confidence interval for the population mean of the number of issues faced by engineers in an electric power company per month is approximately (9.18, 11.82).

b. The 90% confidence interval for the population variance of the ages of a group of students is approximately (25.15, 374.85).

a. To calculate the confidence interval for the population mean, we can use the formula:

CI = x ± z * (σ / √n)

where x is the sample mean, σ is the population standard deviation, n is the sample size, and z is the critical value from the standard normal distribution corresponding to the desired confidence level.

Plugging in the values, we have:

CI = (10 + 317) ± 1.96 * (8 / √36) ≈ 10.50 ± 1.96 * 1.33

Therefore, the 95% confidence interval for the population mean is approximately 9.18 < μ < 11.82.

b. To calculate the confidence interval for the population variance, we can use the chi-square distribution. The formula for the confidence interval is:

CI = [(n - 1) * s^2 / χ^2_upper, (n - 1) * s^2 / χ^2_lower]

where n is the sample size, s^2 is the sample variance, and χ^2_upper and χ^2_lower are the chi-square critical values corresponding to the desired confidence level and degrees of freedom (n - 1).

Plugging in the values, we have:

CI = [(7 + 20) * 8^2 / χ^2_upper, (7 + 20) * 8^2 / χ^2_lower]

Using a chi-square distribution calculator or table, we can find the critical values for a 90% confidence level and 26 degrees of freedom. Let's assume χ^2_upper = 39.36 and χ^2_lower = 13.85.

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Mary Beth Mars, develops a Pareto chart using the information. The recommendations that you would make is as follows:

A graph containing both bars and a line, the bars representing individual values in descending order and the line representing the cumulative total, is known as a Pareto chart. The Pareto chart allows us to concentrate on it when we need to. The Pareto chart is built upon the 80%-20% run of the show. The Pareto chart states that 20% of arrangements assist in resolving 80% of issues. The complex manager, Mary Beth Marrs, must concentrate on issues with the pool, the ground, and the stopping part in order to satisfy the majority of residents and reduce complaints.

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The ratio that is equivalent to 4:6 is 40:60

A ratio is a mathematical expression of comparing two similar or different quantities by division.

For examples if the ratio of cow to sheep In a farm is 3: 4, this means that for 3 cows in the farm there will be 4 sheeps

Equivalent ratios are the ratios that are the same when we compare them. Examples of equivalent ratios are 4:5 and 8 :10.

The equivalent of 4:6 can also be 2:3 but in the options we don't have that, another equivalent can be obtained by multiplying 10 to both sides

=4×10: 6× 10

= 40:60

therefore the equivalent of the ratio 4:6 is 40:60

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Use the distance formula to solve for the direct distance from (4,-4) up to (-14,8)

Since 1 grid is equal to 0.125 miles. Multiply the distance in units and we get

Rounding to 2 decimal places, the direct distance is 2.70 miles.

Answer:

34i....................

The expression be 1/4(c³+ d²) then the value exists 9.

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication and division (left to right), addition and subtraction (from left to right).

The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations.

Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).

Let the given expression be 1/4(c³+ d²)

The value of c = -4 and d = 10

substitute the values in the above equation, we get

Follow the PEMDAS order of operations

Calculate within parentheses  ((-4)³ + (10)²) = 36

1/4((-4)³ + (10)²)

simplifying the above equation, we get

= 1/4 × 36

= 9

Therefore, the correct answer is option B. 9.

The complete question is:

What is the value of this expression when c = -4 and d = 10?

1/4(c³+ d²)

A. 2

B. 9

C. 21

D. 41

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Answer:

1. B    2. D    3. C    4. B

To graph a rational function, you first need to find the x-intercepts, y-intercepts, and asymptotes of the function.

1. To find the x-intercepts, set the numerator equal to zero and solve for x. These values will be the x-coordinates of the x-intercepts.

2 . To find the y-intercepts, set the denominator equal to zero and solve for y. These values will be the y-coordinates of the y-intercepts.

3 . To find the vertical asymptotes, set the denominator equal to zero and solve for x. These values will be the x-coordinates of the vertical asymptotes.

4 . To find the horizontal asymptotes, look at the degree of the numerator and denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is the x-axis (y=0). If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

5 . To graph the function, plot the x-intercepts, y-intercepts, and asymptotes on the coordinate plane, and then use the shape of the function around these points to complete the graph.

It's important to note that not all rational functions will have x-intercepts, y-intercepts, or asymptotes, and some may have multiple of each. Also, when graphing rational functions, the vertical asymptotes are the lines where the function is not defined and the function will approach these lines but never cross them.

Also, the horizontal asymptotes are the lines that the function approach at a far distance from the vertical asymptotes.

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Step-by-step explanation:

They both have the same gradient of 1. (Their slope is 1)

Step-by-step explanation:

\( - 24 > x + 4\)

\( - 28 > x\)

Answer: 15.625 ft^3

Step-by-step explanation:

The volume of a cube is the side length cubed.

Therefore, the volume of this cube would be equal to 2.5^3

2.5^3 = 15.625 ft^3

To convert a decimal probability into a percentage, we have to multiply it by 100. This way,

This way, we can conclude that the correct answer is:

Option D

The missing premise is "all dogs are non-cats." Therefore, the argument is true.

The given information and analyze the argument step-by-step.

1. Some non-poodles are not non-cats: This statement means that there are some animals that are not poodles and are also cats.

2. No cats are dogs: This statement means that there is no overlap between cats and dogs.

Now, let's try to determine if "some poodles are dogs" can be concluded from these premises:
Since no cats are dogs, it doesn't matter whether some non-poodles are not non-cats. Poodles are a breed of dog, so it's already a fact that poodles are dogs.

So, the answer is True: some poodles are dogs.

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The 2 sides of the equation are not equal; hence, I cannot prove them to be true.

The mean is 12. The standard deviation is approximately 4.72.

To find the mean, add up all the numbers in the set and divide the sum by the total number of values. In this case, the mean is 12. To calculate the standard deviation, subtract the mean from each value, square the differences, sum the squared differences, divide by the total number of values, and take the square root of the result. For the given set, the standard deviation is approximately 4.72.

1. Calculate the mean:
- Add up all the numbers in the set:

2 + 13 + 15 + 9 + 16 + 5 + 18 + 16 + 12 + 11 + 15 = 132
- Divide the sum by the total number of values:

132 / 11 = 12
- The mean of the set is 12.

2. Calculate the standard deviation:
- Subtract the mean from each value:

(2-12) (13-12) (15-12) (9-12) (16-12) (5-12) (18-12) (16-12) (12-12) (11-12) (15-12) = -10 1 3 -3 4 -7 6 4 0 -1 3
- Square each difference: 100 1 9 9 16 49 36 16 0 1 9
- Add up all the squared differences: 100 + 1 + 9 + 9 + 16 + 49 + 36 + 16 + 0 + 1 + 9 = 246
- Divide the sum by the total number of values: 246 / 11 = 22.36
- Take the square root of the result: √22.36 ≈ 4.72
- The standard deviation of the set is approximately 4.72.

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Answer:

58.0 degrees

Step-by-step explanation:

Let the angle of depression be x.

tan x=104.1/65

x=58.0 degrees

Answer:

the angle of depression is 32°

Step-by-step explanation:

Dr. Chu tested the physical coordination skills of 21-year-old men who were first assigned to drink a beverage with either 4, 2, or 0 ounces of alcohol. The independent variable in this study is the amount of alcohol consumed by the men, and the dependent variable is the physical coordination skills of the men.

The independent variable in Dr. Chu’s study is the amount of alcohol consumed by the 21-year-old men before testing their physical coordination skills.

The independent variable is the variable that is being manipulated or changed by the experimenter to test its effect on the dependent variable, which is the variable that is being measured.In this study, the independent variable is the quantity of alcohol consumed by the men.

They were divided into three groups, one was given a beverage containing 4 ounces of alcohol, another group was given a beverage containing 2 ounces of alcohol, and the third group was given a beverage without any alcohol.The dependent variable in this study is the physical coordination skills of the 21-year-old men. The dependent variable is the variable that is being measured to determine the effect of the independent variable. Dr. Chu is studying how alcohol consumption affects the physical coordination skills of the 21-year-old men.

Dr. Chu tested the physical coordination skills of 21-year-old men who were first assigned to drink a beverage with either 4, 2, or 0 ounces of alcohol. The independent variable in this study is the amount of alcohol consumed by the men, and the dependent variable is the physical coordination skills of the men.

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oh oh i had this question jn leh me find it !!!

Answer: 175

Step-by-step explanation:

If you take 100(as a percentage) and divide it by 40, you get 2.5, 70x2.5 is 175

It takes 72 minutes for Nikki to paint the room working alone and 90 minutes for Greg to paint the room working alone given that Greg and Nikki takes a total of 40 minutes to paint a room if they work together and if Greg works alone, he takes 18 minutes longer to paint he room than Nikki takes if she works alone. This can be obtained by using suitable algebraic equation and quadratic formula.

Here in the question it is given that,

⇒  \(\frac{1}{time(Greg)} +\frac{1}{time(Nikki)} =\frac{1}{40}\)

⇒  time(Greg) = time(Nikki) + 18 ⇒ time(Greg) = x + 18

    ⇒    \(\frac{1}{x} +\frac{1}{x+18}= \frac{1}{40}\)

By simplifying the equation we get the quadratic equation,

⇒ \(\frac{x+18+x}{x(x+18)} =\frac{1}{40}\)

⇒ 40(2x + 18) = x(x + 18)

⇒ 80x + 720 = x² + 18x

⇒ x² - 62x - 720 = 0

By using quadratic formula we can find the value of x,

a = 1, b = - 62, c = - 720

⇒ b² - 4ac = (- 62)² - 4(1)(-720)

⇒ b² - 4ac = 3844 + 2880

⇒ b² - 4ac = 6724

√b² - 4ac = √6724

√b² - 4ac = 82

\(x = \frac{-b+\sqrt{b^{2}-4ac} }{2a}\) or \(x = \frac{-b-\sqrt{b^{2}-4ac} }{2a}\)

\(x = \frac{62+82}{2}\) or \(x = \frac{62-82}{2}\)

x = 144/2 or x = - 20/2

x = 72 or x = - 10

Since time taken cannot be negative we take the value of x as 72 min.

That is, time(Nikki) = x = 72 min

time(Greg) = x + 18

time(Greg) = 72 + 18

time(Greg) = 90 min

Hence it takes 72 minutes for Nikki to paint the room working alone and 90 minutes for Greg to paint the room working alone given that Greg and Nikki takes a total of 40 minutes to paint a room if they work together.

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Answer:

See photo #11

Step-by-step explanation: