ASAP 50 points Use the graph to answer the question.


graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at negative 7 comma 5, negative 5 comma 1, negative 1 comma 1, negative 3 comma 5


50 POINTS Determine the translation used to create the image.


4 units to the right

4 units to the left

8 units to the right

8 units to the left

We can infer that the function's vertex is (0, 0) because its terminus is located at the origin (0, 0). As a result, k = 0 and h = 0.

We can start by figuring out the fundamental structure of a radical function, and then apply the knowledge we have gained to solve for the particular problem.

A radical function's generic form is given by:

f(x) = a√(x - h) + k

f(x) = a√(x - 0) + 0

f(x) = a√x

3 = a√(-16)

3 = a√(-1)√16

3 = a√(-1)4

Since the square root of -1 is denoted as "i" (imaginary unit), we have:

3 = 4ai

Solving for a:

a = 3/(4i)

As a result, the radical function's equation, which has its terminus at the origin and passes through the point (-16, 3), is as follows: f(x) = (3/(4i))√x

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Step-by-step explanation:

let's solve:-

soo

Pythagorean Theorem=

\(\bold \green{(leg1)^{2} +(leg2)^{2} =(hypotenuse)^{2} }\)

Here:-

\(\bold \blue{leg \: 1 = 48} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold \blue{ leg2 = 20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold\blue{hypotenuse = 52}\)

Putting values:-

\( {48}^{2} + {20}^{2} = {52}^{2} \: \: \: \: \: \: \\ \\ 2304 + 400 = 2704 \\ \\ 2704 = 2704 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Answer:

The value of x is 5 units

Step-by-step explanation:

We are given that triangle ABC is right angled triangle

An altitude is drawn from point B to point D on side A C to form a right angle.

Length of AD = x

Length of DC = 4x

Length of BD = 10

In triangle ABD

\(Perpendicular^2+Base^2 = Hypotenuse^2 \\BD^2+AD^2=AB^2\\10^2+x^2=AB^2\\100+x^2=AB^2\\\frac{AD}{AB}=Cos A\\\frac{x}{\sqrt{100+x^2}}=Cos A\\\frac{AB}{AC}=Cos A\\\frac{\sqrt{100+x^2}}{5x}=Cos A\\So,\frac{x}{\sqrt{100+x^2}}=\frac{\sqrt{100+x^2}}{5x}\\x=5 units\)

Hence The value of x is 5 units

Answer:

C) 5 units

Step-by-step explanation: took test on edge

On solving this trigonometry, we find that (a) sec(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{13}{5}\) and (b) tan(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{12}{5}\)

(a) To find the exact value of sec(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that sec(x) = \(\frac{1}{cos}\)(x). Let's draw a right triangle with opposite side 12 and hypotenuse 13. Using the Pythagorean theorem, we can find the adjacent side:

a² + b² = c²

a² + 12² = 13²

a² = 169 - 144

a = √25

a = 5

So our triangle has sides of length 5, 12, and 13. Now we can find cos(sin⁻¹  \(\frac{12}{13}\)) by looking at the adjacent/hypotenuse ratio in this triangle:

cos(sin⁻¹ \(\frac{12}{13}\)) =  \(\frac{5}{13}\)

Therefore, sec(sin⁻¹(12/13)) = 1/cos(sin⁻¹ \(\frac{12}{13}\))

                                            = 1/\(\frac{5}{13}\)

                                            = \(\frac{13}{5}\).

So the exact value of sec(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{13}{5}\).

(b) To find the exact value of tan(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that tan(x) = sin(x)/cos(x). Let's use the same right triangle as before.

Then sin(sin⁻¹ \(\frac{12}{13}\))=  \(\frac{12}{13}\) and cos  \(\frac{12}{13}\)) = \(\frac{5}{13}\)  , so

tan(sin⁻¹ \(\frac{12}{13}\)) = sin(sin⁻¹ \(\frac{12}{13}\))/cos(sin⁻¹\(\frac{12}{13}\))

                        = \(\frac{12}{13}\) / \(\frac{5}{3}\)

                        = \(\frac{12}{5}\)

So the exact value of tan(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{12}{5}\).

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Answer:

C.) The standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

Step-by-step explanation:

Data Set 1

\(\mu =\dfrac{1+2+3+3+6}{5}= \dfrac{15}{5}=3\)

\(S$tandard Deviation, \sigma =\sqrt{\dfrac{\sum (x-\mu)^2}{N}}\)

\(\sigma =\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(6-3)^2}{5}}\\=\sqrt{\dfrac{4+1+0+0+9}{5}}\\=\sqrt{\dfrac{14}{5}}\\\\=1.67\)

Data Set 2

\(\mu =\dfrac{2+2+3+3+4+4}{6}= \dfrac{18}{6}=3\)

\(\sigma =\sqrt{\dfrac{(2-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(4-3)^2+(4-3)^2}{6}}\\=\sqrt{\dfrac{1+1+0+0+1+1}{6}}\\=\sqrt{\dfrac{4}{5}}\\\\=0.89\)

0.89 X 2=1.78 which is close to 1.67

Therefore, the standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

Descriptive statistics are those that involve gathering, arranging, and summarizing data.

Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).

A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.

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Answer:

Decimal

Step-by-step explanation:

The 37 and the 2 is separated by that little dot called a decimal.

Answer:

37+2/10

Step-by-step explanation:

The probability of Jack picking a yellow or white sock is 0.6 (60%).

The probability of Jack picking a blue sock is 4/14 (28.6%)

The probability of Jack picking a red sock is 3/14 (21.4%)

The probability of Jack picking a white sock is 2/14 (14.3%)

The probability of Jack picking a yellow sock is 1/14 (7.1%)

Therefore, the probability of Jack picking a yellow or white sock is 0.6 (60%)

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1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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add up the numbers.

9.281 + 7.740 = 17.021.

The total length of the ribbons is 17.021 cm long.

Question:

Gabriel started to calculate the area of the triangle. His work is shown.

A = 1/2 bh=1/2 (1/2) (3/4)

A triangle has a base of three-fourths inch and a height of one-half inch

What is the area of the triangle?

The area of the triangle is ___in.²

Answer:

Area of the triangle = \( \frac{3}{16} inch^2 \)

Step-by-step explanation:

We are given the dimensions of the triangle as:

Base, b = ¾ inch

Height, h= ½ inch

To find the area of the triangle, let's use the formula :

Area of a triangle = ½base *height

Solving further, we have:

Area of a triangle = \( \frac{1}{2}*\frac{3}{4} * \frac{1}{2} = \frac{3}{16} \)

Area of the triangle = \( \frac{3}{16} inch^2 \)

T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log

This statement is true.

Because, Sometimes, when solving an equation using analytical methods, we may arrive at a solution that is mathematically correct but is not a valid answer due to the restrictions in the type of function used.

For example, if a negative value appears in the logarithmic function, the solution may not be valid because the logarithmic function is only defined for positive values.

In such cases, we need to go back and recheck our work and take into account the restrictions of the function to arrive at a valid solution.

Sometimes when solving an equation analytically, the resulting solution may not be a valid answer due to restrictions in the domain of the function.

For example, if we solve an equation involving a logarithmic function, we may end up with a negative value inside the logarithm, which is not defined for real numbers. In such cases, the solution obtained analytically is not a valid answer to the equation.

Another example is when solving for the roots of a quadratic equation using the quadratic formula, we may obtain complex solutions even though we are only interested in real solutions.

Thus, it is important to always check the solutions obtained to ensure that they satisfy any domain or range restrictions of the functions involved in the equation.

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The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Answer:

The percent error is 10%

Step-by-step explanation:

The lengh of the windows are 40 inches, which is the 100% of the lengh.

What you have to do is to put 40 and 100 in a proportion with her guess, which is 36:

40 / 100 = 36 / x

so you do: (100 x 36) / 40 = 90%

This means that the percent error of her guess is 100% - 90% = 10%

Answer:

C. 0 6 10

Step-by-Step-Explanation:

the number on the left of the indicated operation is the original set

the number '2' next to R shows that you need to multiply certain numbers by 2

the subscript on the R's shows which row the multiplication needs to be done on...

so in this case, leave the second row alone: 1  3  4

but multiply the first row by 2: 0  6  10

According to the given information, the probability that a student from any major is using the Library collection is 0.578.

Transition chart:

Probability of using the library for History/Social sciences students = 0.9

Probability of using the library for Science students = 0.7

Probability of using the library for Engineering students = 0.6

Probability of using the library for Business students = 0.5

Probability of being in History/Social sciences = 0.3

Probability of being in Science = 0.25

Probability of being in Engineering = 0.15

Probability of being in Business = 0.3(b)

The transition matrix is given as:  [0.9 0.7 0.6 0.5] × [0.3 0.25 0.15 0.3]

= [0.73 0.59 0.47 0.47]

Therefore, the transition matrix is as shown:

(c) Probability that a student from any major is using the Library collection:

P(L) = 0.73 × 0.3 + 0.59 × 0.25 + 0.47 × 0.15 + 0.47 × 0.3

= 0.219 + 0.1475 + 0.0705 + 0.141

= 0.578

Therefore, the probability that a student from any major is using the Library collection is 0.578.

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Ordered pair (0, 6) and  (2, 7)  satisfy both inequalities in the system and are solutions to the system.

To identify the graph that represents the given system of inequalities y > x + 5 and y ≥ 2x + 3, we need to graph the individual inequalities and find the region where they overlap.

When we plot the graph of inequality separately:

    2. y ≥ 2x + 3:

The overlapping shaded region represents the solution to the system of inequalities.

To find two ordered pairs that are solutions to the system, we can choose any points within the overlapping region. Let's select two points:

Ordered pair 1: (0, 6)

Ordered pair 2: (2, 7)

These two points satisfy both inequalities in the system and are solutions to the system.

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The correct question is given below -

Identify the graph that represents the given system of inequalities. Also identify two ordered pairs that are solutions to the system.

y > x + 5

y ≥ 2x + 3

Answer:

ok let me try this again

To explain a markup, let's use an example: Let's say you purchase a box of paper that costs one dollar. You aim for a profit of 50%. By multiplying the cost by 50%, you get $0.50. This is your markup price. Add that to the price that you paid to purchase the box of paper, and now the total is $1.50. This is the selling price of the box of paper. Therefore, your markup percentage is 50%.

did that help i was not a faker though i was just trying to explain it to him/she better and can i have brainlist please

Answer:

The measure of ∠A'B'C' is 125°

Step-by-step explanation:

The given information are;

The measure of ∠ABC = 125°

The transformation applied to ∠ABC = 75° rotation about point B

The vertices of the image formed after rotation = ∠A'B'C'

Therefore, given that a rotational transformation is a form of rigid transformation, we have that the size and shape of the figure in the preimage = The size and shape of the figure of the image

Therefore, the measure of m∠ABC = The measure of m∠A'B'C'.

The measure of the angle  A'B'C' which is created by rotating angle ABC 75° about point B is 125 degrees.

Rotation of a figure is the transformation of it about a point in either clockwise or anticlockwise direction. By rotating, a figure changes the coordinate point of the figure.

The following information regarded to angle ABC are given.

The rotation of 75 degree is applied on the given angle ABC from the point B. This will change the coordinate points of the point A and point C.

As it is known that the rotation changes the coordinate point and the position of the shape but does not change the shape and size of the original figure.

Hence, the measure of the angle  A'B'C' which is created by rotating angle ABC 75° about point B is 125 degrees.

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The formula for the exponential function that passes through the points (0, 6) and (3, 48) is y = 6 * 2^x.

To obtain the formula for an exponential function that passes through the points (0, 6) and (3, 48), we can use the general form of an exponential function, which is:

y = a * b^x

where 'a' is the initial value or y-intercept, 'b' is the base of the exponential function, and 'x' is the input variable.

Using the first point (0, 6), we can substitute the values into the equation:

6 = a * b^0

6 = a * 1

a = 6

Substituting 'a' back into the equation, we have:

y = 6 * b^x

Now, let's use the second point (3, 48) to solve for 'b':

48 = 6 * b^3

b^3 = 48/6

b^3 = 8

b = 2

Now that we have the values of 'a' and 'b', we can write the final equation for the exponential function:

y = 6 * 2^x

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Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

Answer:

Step-by-step explanation:

-8 - 3k = 11

Add 8 to both sides

-8 - 3k + 8 = 11+ 8

          -3k = 19

Divide both sides by 3

       \(\frac{-3k}{-3}=\frac{19}{-3}\)

           k = \(\frac{-19}{3}= -6\frac{1}{3}\)

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The expression for the number of games Holly now has in standard form is D: -9 - 5x - x^2 + 3x^3 + 7x^4.

To determine the expression for the number of games Holly now has, we analyze the given information step by step. Holly starts with 3x^3 games and buys another 7x^4, resulting in a total of 3x^3 + 7x^4 games.

She then gives away x^2, which reduces the total to 3x^3 + 7x^4 - x^2. Next, she sells 5x games, leading to 3x^3 + 7x^4 - x^2 - 5x.

Finally, she donates another 9 games, resulting in a final expression of 3x^3 + 7x^4 - x^2 - 5x - 9. Simplifying further, we get the expression in standard form: -9 - 5x - x^2 + 3x^3 + 7x^4.

Therefore, the correct expression is D.


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Number one rule of multiplication:

Anything times zero always equals zero.

Solve \((-6) * 0=0\)

Solve \(8*(-2)=\)

To solve this, just multiply \(8 * 2\) and then make the answer negative:

\(8*2=16\\8*(-2)=(-16)\)

Solve \(9*(-4) =\)

Use the same strategy you used above to solve this equation:

\(9*4=36\)

\(9*(-4)=(-36)\)

Hope this helps!

~

Answer:

13/99

Step-by-step explanation:

Answer: 13/99

Step-by-step explanation:

Answer:

Step 1

Step-by-step explanation: