Which of these could be the lengths of right triangle abc
A) 4,3,7
B) 5,7,12
C) 6,8,10
D) 7,8,15

The area of the replica is approximately 1.33 square feet, Rounded to the nearest hundredth.

If the original artwork has an area of 12 square feet, then a replica created by dilating the original by a scale factor of 1/3 will have an area that is (1/3)^2 = 1/9 of the original area. Therefore, the area of the replica will be:

12 square feet × 1/9 = 4/3 square feet ≈ 1.33 square feet

A scale factor is a multiplier that scales or resizes a shape, figure, or object. It is used to determine the size of a new shape or figure when it is scaled up or down by a certain factor. The scale factor can be expressed as a ratio, a fraction, or a decimal. For example, if a rectangle has a length of 10 units and a width of 5 units, and it is scaled up by a factor of 2, the new rectangle will have a length of 20 units and a width of 10 units. The scale factor, in this case, is 2.

Scale factors are commonly used in geometry, especially in transformations such as dilation, which involves scaling a shape by a certain factor without changing its shape. Scale factors can also be used in real-world applications such as maps, where a scale factor is used to represent the ratio between the distance on the map and the actual distance on the ground.

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Complete Question:

an art gallery is selling replicas of some famous artworks. a copy of the artwork is dilated by a scale factor of \(\frac{1}{3}\) to create a replica of the original piece. if the area of some original artwork was 12 square feet, what will be the area of the replica? enter the answer in the box, rounded to the nearest hundredth.

The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.

Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.

By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.

Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.

This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.

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Answer:

4.5 I think

Step-by-step explanation:

we are given the following function:

We are asked to find:

This means the value of the function when x = -2, therefore, in the function where ever we find "x" we replace it with -2, like this:

Solving the operations:

Therefore, f(-2) = 11

In the given case the set of 56 students who returned surveys is an example of a sample

A sample would be the 56 students who responded to the surveys. A sample is a portion of the population that is chosen for a study in research. American college students would be the population in this scenario. The 56 students who returned the surveys were chosen at random for the sample by the researcher.

The researcher is attempting to guarantee that the sample is representative of the greater population of American college students by utilising a random selection process. The researcher discovered that these students spend an average of 4.1 hours per week working on course material outside of class based on the data collected from the sample. This is an example of a descriptive statistic that provides a summary of the information gleaned from the sample.

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The total number of dolls they had in the beginning was 35, and after Jacky gave Peter 15 dolls, they each had 25 dolls. So, they had a total of 50 dolls in all.

Let the initial number of dolls Jacky had be 5x, and the initial number of dolls Peter had be 2x. So, the total number of dolls they had in the beginning was 5x + 2x = 7x.

After Jacky gave Peter 15 dolls, Peter had (2x + 15) dolls, and Jacky had (5x - 15) dolls. As they had an equal number of dolls after this, we get the equation:

5x - 15 = 2x + 15

Simplifying this, we get:

3x = 30

x = 10

So, the initial number of dolls Jacky had was 5x = 50, and the initial number of dolls Peter had was 2x = 20. Therefore, the total number of dolls they had in the beginning was 50 + 20 = 70.

After Jacky gave Peter 15 dolls, they each had 25 dolls, and the total number of dolls they had in all was 25 + 25 = 50.

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Answer:

Follow the instructions on the sheet. I believe this is an example question, so it doesn't need to be solved.

The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

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Answer:

1.) $408.15 | 2.) $8,039.06 | 3.) 807,837.24 | 4.) $1,163.19

Step-by-step explanation:

1.) You need to know the exponential growth and decay formula.

The formula: y=ab^x

**For no.1**

Your initial amount is 300 which is the a

You need to do 100%+8% which is 108%

-This needs to be in decimal form: 1.08

4 years is the number of times the interests shall go up

Now do the equation:

y=300(1.08)^4  --> Multiply everything but do exponents first!!

y= $408.146688

$408.15 - This is the answer for no.1 it shall be rounded

**For no.2**

Same thing as last:

y=1500(1.75)^3

y= $8,039.0625

$8,039.06

**For no.3**

y=900(1.12)^60

y= 807,837.24

This had to be approximate

**For no.4**

y=820(1.06)^6

y= 1,163.1856

$1,163.19

The graph of 5(3x) + 4y + 62 = 12 in the first octant is a plane surface.

The equation 5(3x) + 4y + 62 = 12 can be simplified to 15x + 4y + 62 = 12. By rearranging the equation, we get 15x + 4y = -50. This is a linear equation in two variables, x and y, which represents a plane in three-dimensional space.

To determine if the plane lies in the first octant, we need to check if all coordinates in the first octant satisfy the equation. The first octant consists of points with positive x, y, and z coordinates. Since the given equation only involves x and y, we can ignore the z-coordinate.

For any point (x, y) in the first octant, both x and y are positive. Plugging in positive values for x and y into the equation, we can see that the equation holds true. Therefore, the surface represented by the equation 5(3x) + 4y + 62 = 12 is a plane in the first octant.

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Answer:

hope you can see these, the red graph is problem 3 and the blue graph is problem 5 :)

Since the ratio of the black to red is 3: 5

Then the total of the ratio is 3 + 5 = 8

Since there are 16 pieces left

By using the ratio method

black: red: total

3. : 5 : 8

x. : y : 16

By using cross multiplication

x x 8 = 3 x 16

8x = 48

Divide both sides by 8 to find x

x = 6

Since x represents the black left

The answer is 6 black left

Answer:

a = 6

Step-by-step explanation:

Given that (x - 2) is a factor of P(x) , then P(2) = 0 , that is

P(2) = 2² - 5(2) + a = 0 , so

4 - 10 + a = 0

- 6 + a = 0 ( add 6 to both sides )

a = 6

The final price is 97.714% of the original price. To the nearest whole number, that's 98%.

Let's call the final price of the bed "x".

       $350 * 0.15 = $52.50$ discount

       $297.50 * 0.15 = $44.63 markup

       $342.13 / $350 = 0.97714

So, the final price is 97.714% of the original price.

To the nearest whole number, that's 98%.

The method used to solve this problem is applicable to a wide range of similar problems in pricing and discounting, as well as in finance and economics. This method can be used to calculate the final price of an item after applying a discount followed by a markup, or to find the original price of an item given the final price and the discount and markup amounts. The method can also be extended to problems with multiple discounts or markups, as well as problems involving different discount or markup percentages.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

1. E = 8h + 0.05s

2. $2,800

3. please check explanations

Step-by-step explanation:

Firstly, we need an expression for what she earns.

The key to answering this is to know that 5% is same as 5/100 = 0.05

So , if her total sales is given as S, the amount she makes as commission would be 0.05s

So the Total earnings given that she works h hours per week and earns $8/h is $8h

So total earnings E = 8h + 0.05s

Now we want to get to total sales given she worked 15 hours last week and earned $260 in total.

What this means is that we have h and E and we want to find s for that week.

What we need to do is to plug the values into the equation we have defined above;

Thus;

260 = 8(15) + 0.05s

260 = 120 + 0.05s

0.05s = 260-120

0.05s = 140

s = 140/0.05

s = $2,800

I think employers offer commission to serve as a form of morale booster which helps to make their employees work better by sustaining their enthusiasm on the job and also augment their salaries

No, I do not think there are potential problems

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Your systolic and diastolic blood pressure are used by the Mean Arterial Pressure (MAP) calculator to calculate your mean arterial pressure.

In medicine, the term mean arterial pressure (MAP) refers to a person's average blood pressure throughout one cardiac cycle. On MAP, it is observed that both systemic vascular resistance and cardiac output have an impact.

Systolic and diastolic blood pressure can be used in a formula to calculate mean arterial pressure, or it can be measured directly. A blood pressure cuff provides the information required to estimate the mean pressure in the least invasive way possible.

A comparable method is to measure blood pressure with an oscillometric device, which computes the systolic and diastolic values using only a cuff and a microprocessor. Following the invasive insertion of an arterial catheter with a transducer, the waveform that is left behind establishes the mean pressure.

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By observing diagram clearly we can observe that there is a right angled triangle with :

So, to find hypotenuse, let's use Pythagoras' theorem :

\( \large \underline{\boxed{\bf{H^2 = B^2 + P^2}}}\)

\( \tt : \implies c^2 = 3^2 + 3^2\)

\( \tt : \implies c^2 = 9 + 9\)

\( \tt : \implies c^2 = 18\)

\( \tt : \implies c = \sqrt{18}\)

Hence, value of c is √18.

Given the general n th term of the sequence,

For n = 1,

Therefore, the first statement is true.

Now for n = 2,

Therefore, the first two terms of the sequence is -8 and -5.

So, the common difference is,

Therefore, the common difference is 3.

So, the second statement is true.

Now fifth term is for n = 5.

Therefore,

Therefore the fifth term is 4 but not 7.

Hence, the third statement is false.

Answer:

See below.

Step-by-step explanation:

Angle 150 and Angle y are vertical angles. Vertical angles are equivalent in measure. Therefore:

\(y=150\textdegree\)

And we're done :)

Answer:

each egg costs 42 cents

Step-by-step explanation:

since it’s five dollars for twelve eggs, divide five by twelve to get the cost per egg

Answer:

Simplify what though? i would answer u but plz put what im supposed to simplify

Step-by-step explanation:

The source of internal invalidity reflected in this example is experimental mortality, as the drop in sample size due to soldiers being reassigned to different stations across the U.S. can lead to a decrease in statistical power and increased risk of bias in the results.

This example reflects the source of internal invalidity known as c) experimental mortality. Experimental mortality refers to the loss of participants during an experiment, which may cause issues with the overall validity of the results. In this case, the reassignment of soldiers to different stations across the U.S. caused the sample size to drop, potentially affecting the outcome of the study on the effect of group size on group morale.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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A node or event with a duration of 0 days is a b. milestone

A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.

They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.

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Answer:

4

Step-by-step explanation:

3/4(x+8)=9

3/4x+6=9

3/4x=3

x=4

P.S. PLEASE give me Brainliest!

Answer: x = 4

Step-by-step explanation:

Divide both sides by 3/4. When you divide by a fraction, you can also multiply by the reciprocal

\(x+8=9*\frac{4}{3}\)

Simplify the fraction

\(x+8=\frac{36}{3} \\x+8=12\\\)

Subtract 8 on both sides

x = 4

Answer:

-3.33333333333

-3.33 is your answer

hope this helps