Determine if triangle QRS and triangle TUV are or are not similar, and, if they are, state which triangle similarity shortcut (AA, SSS, SAS) you can use to prove it.

Show your work below proving that the triangles me the shortcut's criteria.

(Note that figures are NOT necessarily drawn to scale.)​

Cost of Goods Manufactured is an accounting term used to describe the total cost of producing and manufacturing goods. It includes all direct and indirect costs of production, including labor, materials, overhead, and other expenses. Below are the five components of the cost of goods manufactured.

Direct Materials: It includes the cost of raw materials used in manufacturing a product.

Direct Labor: It includes the wages paid to workers who directly worked on the production line or in manufacturing a product.

Factory Overhead: It includes all indirect costs of manufacturing a product such as depreciation on equipment, rent, insurance, utilities, etc. Work-in-Process

Inventory: It includes the cost of materials, labor, and overhead that has been incurred but has not yet been completed. Finished Goods Inventory: It includes the cost of goods that have been fully manufactured but have not yet been sold.

To calculate the cost of goods manufactured, the sum of all these five components is calculated. It helps manufacturers to determine the total cost of goods manufactured and the cost per unit of production. Cost of goods manufactured is essential in determining the pricing strategy for a product as it helps to ensure that the product is profitable.

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Given the expression:

for a=-5x and b=1, we have the following:

therefore, the simplified form is 25x²

Answer: 6

Step-by-step explanation:

14-8=6

Answer:

the answer is 6 since it says fewer we'll be using subtraction or the minus sign so 14-8=6

Answer:

The answer is C.

Step-by-step explanation:

Remember, to find the mean of some scores, you must add all the scores together, then you must divide by the number of scores you added. In this case, you would divide by four, because you had four numbers you added to gether.

The price of one coat is $46.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.

Given that,

a store has 25% off sale on coats.

Discounted price of one coat = $34.50

We have to find the original price of the coat. Let it be x.

x - (25% x) = 34.5

x - 0.25x = 34.5

0.75x = 34.5

x = 46

Hence the original price of the coat is $46.

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Answer:

i don't know

Step-by-step explanation:

Answer:

that it's a parabola with the equation

\( {(x - 3)}^{2} + 12\)

382.4 days from 132 days t 110.4 days

The option that best aligns with the purpose of association rules is: "Which combinations of items are frequently purchased together."

The metric that is not associated with an association rule is "Idistance." The purpose of association rules is to identify relationships or patterns between items in a dataset. Common metrics used in association rule mining include support, lift, and confidence. These metrics help measure the strength, significance, and reliability of the associations found.

To address the provided options: Association rules can help identify which items are likely overpriced by examining the relationships between price and other attributes. They can provide insights into which combinations of items are frequently purchased together, helping with market basket analysis and product recommendation systems. Association rules are not directly used to predict the number of items that can be expected to sell next year.

This type of prediction would fall more into the realm of forecasting and time series analysis. The concept of "clusters" typically pertains to clustering algorithms used in unsupervised learning. Association rules are not directly used to determine the number of clusters or cluster items. Therefore, the option that best aligns with the purpose of association rules is: "Which combinations of items are frequently purchased together."

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Cartesian coordinates, where x is the real part and y is imginary part. For the given complex number = 2 + 3i, the real part is 2 and the imaginary part is 3. Therefore, Cartesian coordinates of this complex number are (2, 3).

The Cartesian coordinates of a complex number are expressed as an ordered pair of real and imaginary numbers. They are known as the rectangular form of a complex number. The first coordinate represents the real part of the complex number while the second coordinate represents the imaginary part of the number. This ordered pair is referred to as the Cartesian coordinates. Given that = 2 + 3i, the real part is 2 and the imaginary part is 3. The real part 2 is the horizontal axis and the imaginary part 3 is the vertical axis. Hence, the Cartesian coordinates of this complex number is (2, 3).The rectangular form is a standard notation used to represent a complex number as an ordered pair (x, y) where x is the real part and y is the imaginary part. The rectangular form is essential in various applications like electrical engineering, physics, and other fields involving mathematical modeling. The Cartesian coordinates (x, y) of a complex number can be used to plot the number on a Cartesian plane. For instance, the complex number = 2 + 3i can be plotted by moving 2 units along the horizontal x-axis and then moving up 3 units along the vertical y-axis to locate the point (2, 3) on the plane. Therefore, the Cartesian coordinates of the complex number = 2 + 3i are (2, 3) which represents the real and imaginary parts of the number. The rectangular form is a fundamental notation in complex numbers and essential in various mathematical applications.

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Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Answer:

x = 3

Step-by-step explanation:

4(2-x)+13=2x+3

distribute the 4.

8 - 4x + 13 = 2x + 3

combine like terms.

21 - 4x = 2x + 3

18 = 6x

divide by 6.

x = 3

check.

4(2 - 3) + 13 = 2(3) + 3

4(-1) + 13 = 6 + 3

-4 + 13 = 9

9 = 9

correct!

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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Answer:

20cm

Step-by-step explanation:

We know that on the map, 3 cm represents 150 m.

To find how far apart two points are on the map when they are 1 km (1000 m) apart in reality, we can set up a proportion using the given scale:

(3 cm) / (150 m) = (x cm) / (1000 m)

We can cross-multiply and solve for x:

3 cm * 1000 m = 150 m * x cm

3000 cm * m = 150 m * x cm

The unit "m" cancels out, leaving us with:

3000 cm = 150 * x cm

Divide both sides by 150 cm:

3000 cm / 150 cm = x

20 = x

Therefore, the two points are 20 cm apart on the map.

Answer: 25,000 streets

Step-by-step explanation:

Answer:

25,000 streets

Step-by-step explanation:

The expression 24a+(-26b)-13a+12b is equivalent to 11a-14b.

What is algebraic expression ?

An algebraic expression is a combination of variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division. It can be used to represent a mathematical relationship or formula and can be simplified or evaluated using algebraic rules.

Examples of algebraic expressions include "3x + 4y", "2a^2 - 5b", and "(x + 3)(x - 2)".

Given expression ,

24a+(-26b)-13a+12b

= 24a - 13a +12 b - 26b

= 11a - 14b

Therefore, The expression 24a+(-26b)-13a+12b is equivalent to 11a-14b.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

We have found that f(1) = 1 when f(0) = 0, f(1) = -2 when f(3) = 6, and f(1) = 3 when f(-2) = 6. This can be answered by the concept of slope.

The problem asks us to find the value of f(1) given some information about the derivative of the function f(x). We are given that f'(x) = 2x for all x, and we need to use this information to find specific values of f(1) given different conditions on f(x).

To solve this problem, we need to use the fact that the derivative of a function gives us information about the rate of change of the function at any given point. Specifically, the derivative tells us the slope of the tangent line to the function at that point.

a) We are given that f'(x) = 2x for all x, and we know that f(0) = 0. This tells us that the function f(x) must be of the form f(x) = x² + C, where C is a constant that we can find by using the initial condition f(0) = 0. Plugging in x = 0, we get f(0) = 0² + C = 0, which implies that C = 0. Therefore, f(x) = x², and f(1) = 1² = 1.

b) We are given that f'(x) = 2x for all x, and we know that f(3) = 6. Using the same reasoning as before, we can write f(x) = x² + C, where C is a constant that we can find using the initial condition f(3) = 6.

Plugging in x = 3, we get f(3) = 3² + C = 9 + C = 6, which implies that C = -3.

Therefore, f(x) = x² - 3, and f(1) = 1² - 3 = -2.

c) We are given that f'(x) = 2x for all x, and we know that f(-2) = 6. Using the same reasoning as before, we can write f(x) = x² + C, where C is a constant that we can find using the initial condition f(-2) = 6.

Plugging in x = -2, we get f(-2) = (-2)² + C = 4 + C = 6, which implies that C = 2.

Therefore, f(x) = x² + 2, and f(1) = 1² + 2 = 3.

Therefore, we have found that f(1) = 1 when f(0) = 0, f(1) = -2 when f(3) = 6, and f(1) = 3 when f(-2) = 6.

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At great axial distances x from a current-carrying loop, the magnetic field varies as:

b. x^-3

Here's the step-by-step explanation:

1. The magnetic field B at a point on the axis of a current-carrying loop can be given by the formula: B = (μ₀Ia²) / (2(a² + x²)^(3/2))

2. In this formula, μ₀ is the permeability of free space, I is current, a is the radius of the loop, and x is the axial distance from the loop.

3. When the axial distance x is much greater than the radius a (i.e., x >> a), the term a² in the denominator becomes negligible compared to x².

4. Therefore, the formula simplifies to: B ≈ (μ₀I) / (2x³)

As you can see, the magnetic field B varies as x^-3 at great axial distances from the current-carrying loop.

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The required value of V for the given equation is 115.34

What is a simple equation?

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the relationship between two expressions. It primarily consists of a variable, sometimes with a numerical constant in addition. There cannot be a simple equation without a variable. A known, fixed quantity that is used in a straightforward equation is referred to as a constant.

Given an expression, V/7.9 equals 14.6

or, V/7.9 = 14.6

or, V = 14.6*7.9

or, V = 115.34

Hence, the required value of V is 115.34

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The expressions that represent this week's price of gasoline per gallon =g+0.05g.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

the price of a gallon of gasoline was `g` dollars.

the price of gasoline per gallon increased by `5%`.

So, the expressions that represent this week's price of gasoline per gallon

=g + g*5%

=g+0.05g

Hence, the expressions that represent this week's price of gasoline per gallon =g+0.05g.

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The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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For the function f(x) = (5x + 2) / (3x - 1), the horizontal asymptote is y = 5/3, and the vertical asymptote is x = 1/3. For the function f(x) = (x + 2) / (x^2 + 4x + 1), the oblique asymptote is given by the equation y = x + 2.

a) To find the horizontal and vertical asymptotes of the function f(x) = (5x + 2) / (3x - 1), we need to analyze the behavior of the function as x approaches positive or negative infinity.

Horizontal asymptote: As x approaches infinity or negative infinity, the highest power term in the numerator and the denominator dominates the function. In this case, the highest power terms are 5x and 3x. Thus, the horizontal asymptote is given by the ratio of the coefficients of these highest power terms, which is 5/3.

Vertical asymptote: To find the vertical asymptote, we set the denominator equal to zero and solve for x. In this case, we have 3x - 1 = 0, which gives x = 1/3. Therefore, the vertical asymptote is x = 1/3.

b) To find the oblique asymptote of the function f(x) = (x + 2) / (x^2 + 4x + 1), we need to divide the numerator by the denominator using long division or synthetic division. The quotient we obtain will be the equation of the oblique asymptote.

Performing long division, we get:

1

x^2 + 4x + 1 | x + 2

x + 2

x^2 + 4x + 1 | x + 2

- (x + 2)^2

-3x - 3

The remainder is -3x - 3. Therefore, the oblique asymptote is given by the equation y = x + 2.

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Step-by-step explanation:

2(x＋3)

2x＋6

devide each in 2

2x/2 and 6/2

2 and 2 go out

X=3

Answer:

The perimeter of the playground is 65 metres

Step-by-step explanation:

Questions like this requires attachment; See attachment for diagram.

From the diagram, we have the following parameters

\(Length = 2cm\)

\(Width = 4.5cm\)

Required

Calculate the parameter of the actual diagram

First, the actual length and width has to be calculated;

Given that the scale drawing is 1:500

\(Actual\ Length = 500 * 2cm = 1000cm\)

\(Actual\ Width = 500 * 4.5cm = 2250cm\)

Now, the perimeter can be calculated;

\(Perimeter\ of\ a\ Rectangle = 2(Length + Width)\)

\(Perimeter = 2(1000cm + 2250cm)\)

\(Perimeter = 2(3250cm)\)

\(Perimeter = 6500cm\)

However, the question requires answer to be in meters

If 100 cm = 1 m, then

\(6500cm = \frac{6500m}{100}\)

\(6500cm = 65m\)

Hence, the perimeter of the playground is 65 metres

Answer:

9.93

Step-by-step explanation:

Just add your tax to your price.

Answer:

i'm sorry but the answer is 1.152

Answer:

\(1.152\)

Step-by-step explanation:

\( \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52\)

hope this helps you.

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

Answer: $76.00

Step-by-step explanation: 57 divided by 6 is 9.5 . Now 9.5 X 8 = 76