Which best describes the construction of a triangle if given one side length of 10 cm and one right angle?

Cannot be determined

Unique triangle

More than one triangle

Triangle not possible

We need to graph the following inequalities:

The intersection zone (denoted in gray color) is the region where both inequalities are true. Therefore, by comparing with the given options, the answer is option D: Region B.

Answer:

Step-by-step explanation:

An ordered pair is related to function notation by ...

  (x, y)   ⇔   f(x) = y

where f is the function name, and ( ) enclose the argument(s) of the function.

__

The ordered pair (-6, 8) gets translated into the above form as ...

  f(-6) = 8

__

We are looking for the f(x) value that has 3 in the x-column.

  f(3) = -2

__

We are looking for the x value that has -5 in the f(x) column.

  f(4) = -5

  f(x) = -5 when x = 4

The calculated value of [-12] is (b) -12

From the question, we have the following parameters that can be used in our computation:

[-12]

Remove the square bracket

So, we have

-12

The above expression cannot be further simplified

So, we have

[-12] = -12

Hence, the calculated value of [-12] is (b) -12

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Answer:

-12

Step-by-step explanation:

took the quiz

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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The probability that a customer likes cake and pie is 0.16.

Probability is used to determine the odd that a random event would happen. The odds that the event happens usually lie between 0 and 1.

The probability that a customer likes cake and pie = total number of customers who like cake and pie / total number of customers

4/25 = 0.16

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The value of missing x = 5

The value of missing y = 17 / 3

The standard line equation, y = mx + b, or the slope formula, m = (y2 - y1)/(x2 - x1), can both be used to find the slope, m.

According to the given information

Let two points be \((x_{1} , y_{1} )\) and \((x_{2} , y_{2} )\) are ( 3 , 8 ) and ( 6 , 15 )

Slope of the two points = \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)

                                       = \(\frac{15-8}{6-3}\)

                                       = 7 / 3

Let the equation passing through points  ( 3 , 8 ) be

\(( y - y_{1}) = m(x - x_{1})\)

y - 8 = 7/3( x - 3 )

3y - 24 = 7x - 21

3y = 7x - 21 + 24

3y = 7x + 3

When x = 2

3y = 14 + 3

y = 17 / 3

When y = 38/5

114/3 = 7x + 3

7x = 114/3 - 3

21x = 114 - 9

x = 5

So

The value of missing x = 5

The value of missing y = 17 / 3

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Answer:

- A reflection can be done on a point, shape, or object

- A reflection flips a shape across a line

Step-by-step explanation:

A reflection is a rigid transformation, meaning that the object that you are reflecting does NOT change size or shape. A reflection is when you graphically "flip" an image across a line such as the x-axis or the y-axis.

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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The point D represents 1 on the number line.

A number line is a visual representation of numbers arranged in sequential order. It is usually depicted as a horizontal line, with tick marks or hash marks at regular intervals, representing the numbers. Number lines can be used to represent a wide variety of mathematical concepts, such as fractions, decimals, negative numbers, absolute value, and ratios. They are also used to compare numbers and to help visualize the concepts of addition, subtraction, multiplication, and division. Number lines can also be used to explore inequalities, algebraic equations, and graphing.

The point D represents 1 on the number line.

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The value of c that satisfies the condition a + b = 10 is 10.

To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:

√x + √0 = √c

Simplifying, we have:

√x = √c

Squaring both sides of the equation, we get:

x = c

So, the x-intercept is given by (c, 0).

Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:

√0 + √y = √c

Simplifying, we have:

√y = √c

Squaring both sides of the equation, we get:

y = c

So, the y-intercept is given by (0, c).

Since we want the sum of the x- and y-intercepts to be equal to 10, we have:

c + 0 = 10

Simplifying, we find:

c = 10

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

75ft

Step-by-step explanation:

Hello There! With the information given in the problem we can set up a ratio in order to help us solve for the actual length that the model is scaled upon.

This ratio can be written as:

\(\frac{1ft}{15ft}\)

From this we just set up another ratio in relation to the original. In this one we will be solving for x.

\(\frac{1ft}{15ft}\)  x  \(\frac{5ft}{x}\)

After solving for x we find that the actual model should be roughly 75ft.

Hope this helps!

-HM

Answer:

x = 7/12

Step-by-step explanation:

We start off by multiplying both sides by 4:

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

Distribute the 4 and the 3:

4x - 8 = 6 - 3x

Bring all the terms with the x at the first side:

4x + 3x = 6 + 8

7x = 12

x = 7/12

9514 1404 393

Answer:

Step-by-step explanation:

(a) Solving the x-equation for u gives ...

  u = (x -1)/4

Differentiating both equations with respect to u, we have ...

  dy/du = 1 -4u

  dx/du = 4

Then dy/dx is ...

  dy/dx = (dy/du)/(dx/du) = (1 -4u)/4

Substituting for u gives ...

  dy/dx = (1 -4(x -1)/4)/4

  dy/dx = (2 -x)/4

__

(b) The approximate change in y is ...

  ∆y ≈ (dy/dx)(∆x)

For ∆x = 2.98 -3.00 = -0.02, and x=3, the approximate change is ...

  ∆y ≈ (2 -3)/4(-0.02)

  ∆y ≈ 0.005

Answer:

Probability of success = 1/6.

Step-by-step explanation:

A die has 6 sides, all different assuming the die is fair. If a 4 is the ONLY successful outcome, the probability of a successful outcome is 1/6, and the probability of a failed outcome is 5/6, because 5 of the 6 sides are not the number 4.

Answer:

b

Step-by-step explanation:

Answer:

All the work and answer is on the screenshot I have attached.

Step-by-step explanation:

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer:

b. $1 in price is associated with a decrease of $8,000 in sales

Step-by-step explanation:

Linear function:

A linear function has the following format:

\(y = mx + b\)

In which m is the slope, which represents by how much y changes when x changes by 1.

ŷ = 50,000 − 8x

This means that \(m = -8\), in thousands of dollars, so when the price x increases by 1, the sales will be decrease by $8,000, and thus, the correct answer is given by option b.

The equation implies that an increase (b) $1 in price is associated with a decrease of $8,000 in sales

The regression equation is given as:

\(\^y= 50000 - 8\^x\)

A linear regression equation is represented as:

\(\^y= b_o+ b_1\^x\)

Where:

b1 represents the slope or the unit rate of the equation

By comparison:

\(b_1 =-8\)

Because the value of b1 is negative;

Then it means that, the unit rate represents a decrement

Hence, the equation implies that (b) $1 in price is associated with a decrease of $8,000 in sales

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Answer:

idek and i dont ;like how this is working!

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The sum of 24 and 12

divided by 2. means

24 + 12 / 2

36/2

=18

Answer:

x = 9

m<AOB = 29°

m<BOC = 57°

m<COD = 29°

Step-by-step explanation:

Given:

m<AOB = (4x - 7)°

m<BOC = (5x + 12)°

m<COD = (2x + 11)°

The diagram shows <AOB is congruent to <COD.

Set both angles equal to each other to find x.

m<AOB = m<COD

4x - 7 = 2x + 11

Collect like terms

4x - 2x = 7 + 11

2x = 18

Divide both sides by 2

2x/2 = 18/2

x = 9

Find the measure of each angle by plugging in the value of x into each expression for each angle:

m<AOB = (4x - 7)° = 4(9) - 7 = 36 - 7 = 29°

m<BOC = (5x + 12)° = 5(9) + 12 = 45 + 12 = 57°

m<COD = (2x + 11)° = 2(9) + 11 = 18 + 11 = 29°

The results of the combinations are given as follows:

A. Number of possible outcomes with red exactly 3 times and Purple exactly 2: 10.

B. Number of possible outcomes with red at least ounce in 4 spins: 175.

C. Number of possible outcomes with red at least ounce in 5 spins: 781.

The outcomes are obtained in two ways, as follows:

The combination formula calculates the number of different combinations of x objects from a set of n elements, according to the equation presented as follows:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

From item a, there are 5 outcomes with 3 and 2 repetitions, hence the number of results is obtained as follows:

\(C_{5,3} = \frac{5!}{3!2!} = 10\)

It states that the number of outcomes of n independent trials is given by the multiplication of the number of outcomes for each trial.

For item b, we have that:

Hence the total number of outcomes, without considering the restriction is:

Total = 4^4 = 256.

With no red results, the number of outcomes is:

Total no red = 3^4 = 81.

Hence the number of outcomes with at least one red result, considering complementary events, is:

256 - 81 = 175.

Item c follows the same logic, only with 5 trials instead of four, hence:

4^5 - 3^5 = 781.

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Based on simple interest, the solution to the question is that his friend will ultimately owe Darrel $2,875.

A loan or investment's interest can be calculated using simple interest using the principal, interest rate, and duration of the transaction. Because it just considers the original principal and does not account for any compounded interest, it is known as "simple" interest.

Darrel will be indebted to his friend for the following sum if he lends him $2,500 and receives repayment with 15% simple interest after a year:

Interest = Principal x Rate x Time

Interest = $2,500 x 0.15 x 1

Interest = $375

Thus, the total sum his friend will be required to pay Darrel is:

Total amount = Principal + Interest

Total amount = $2,500 + $375

Total amount = $2,875

Thus, the total amount his friend owes Darrel is $2,875.

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Answer:

81

Step-by-step explanation:

\(\frac{3^{11/5}}{3^{-9/5}}\)  can be written as \(3^{11/5}\) × \(3^{9/5}\)

= \(3^{20/5}\)

=\(3^4\)

= 81

Answer:

..............100.............

The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are

180 degrees

540 degrees

900 degrees

The transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.

The rule is (x, y) will become (-x, -y)

Where 540 degrees = 360 + 180

where 900 degrees = 360 + 360 + 180

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