.A circle is inscribed in quadrilateral ABCD. If AB = 4, BC = 5, and CD = 8,
what is DA?

It takes Ermias and Manuel 3.43 hours to paint the room if they are working together. To find the time it takes for Ermias and Manuel to paint the room together, we can use the formula: 1/rate = time.

The rate is the combined painting rate of both workers, which is equal to the sum of their individual painting rates.

Let's call the time it takes for Ermias and Manuel to paint the room together "T". The combined painting rate of both workers is then 1/T.

The individual painting rates of Ermias and Manuel are 1/8 hours per room and 1/6 hours per room, respectively. Therefore, their combined painting rate is 1/8 + 1/6 = 6/48 + 8/48 = 14/48 hours per room.

Now we can use the formula 1/rate = time to find T:

1/ (14/48) = T

48/14 = T

T = 3.43 hours

So it takes Ermias and Manuel 3.43 hours to paint the room if they are working together.

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The probability of X and Y being randomly chosen real numbers such that 0 is 1.

Let X and Y be two random variables such that X is uniformly distributed on the interval [0,1] and Y is uniformly distributed on the interval [0,2]. The probability density function (pdf) of X and Y is given by:

[tex]f_X(x) = 1 and f_Y(y) = 1[/tex]

The probability of X and Y being in the interval [0,1] and [0,2] respectively is given by the integral of their pdfs over the given intervals:

[tex]P(0 < X < 1) = ∫_0^1 1dx = 1\\P(0 < Y < 2) = ∫_0^2 1/2dy = 1[/tex]

Therefore, the probability of X and Y being randomly chosen real numbers such that 0 is 1.

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complete question:

What is the probability of x and y being randomly chosen real numbers such that 0?

Any probability statement involving a normal random variable can be converted to an equivalent statement involving a standard normal random variable through the process of standardization.

Standardization is converting a normal random variable, X, to a standard normal random variable, Z, by subtracting its mean, μ, and dividing by its standard deviation, σ. The formula for standardization is given:

Z = (X - μ) / σ

Once a normal random variable has been standardized, it is easier to find probabilities because the standard normal distribution is well-known and widely used in statistical analysis. For example, if X is normally distributed with mean μ and standard deviation σ, the probability of X being between two values a and b can be found using the cumulative distribution function (CDF) of the standard normal distribution.

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294 cm² is  the lateral area of the drawing .

Describe Area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. Area is the amount of surface a two-dimensional shape can cover, measured in square units. The SI unit of area is the square meter (m2), which is a derived unit.

the lateral surface are square of each side .

                    = 7 cm

          lateral area =  6 * (7)²  = 294 cm²

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The hole of f(x) is x = -3.

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = (x + 3) / (x - 4)(x + 3)

Now,

We see that there is a common factor both in the numerator and the denominator.

This means,

There is a hole in f(x).

i.e

x + 3 = 0

x = -3 is the hole.

Thus,

x = -3 is the hole of f(x).

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Answer: x = -3

Step-by-step explanation:

correct on edge :)

The distance the defender had to run to get to the spot where Beckham caught the ball is 34.6 yards.

Let's call the distance the defender had to run to get to the spot where Beckham caught the ball "d".

Since the defender was running aslant towards Beckham, we can use the Pythagorean theorem to find the distance he had to run. The theorem states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side).

If we call the sideline 40 yards, we can set up the equation as follows:

d² + 20² = 40²

Expanding and simplifying:

d² + 400 = 1600

d² = 1600 - 400 = 1200

d = √(1200)

= √(300 * 4)

= √(300) * √(4)

= √(300) * 2

= 10 √(3) * 2

= 20 √3

Rounding to the nearest tenth, we have:

d ≈ 34.6 yards

So, the defender had to run approximately 34.6 yards to get to the spot where Beckham caught the ball.

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Answer:

  50%

Step-by-step explanation:

You want the probability of rolling a divisor of 45 on a 6-sided die.

The probability is the ratio of outcomes of interest to the total number of possible outcomes, assuming they are equally likely.

The numbers on a die that are divisors of 45 are 1, 3, 5, which are 3 of the 6 possible outcomes.

  P(divisor of 45) = 3/6 = 1/2 = 0.50 = 50%

The probability of rolling a divisor of 45 is 50%.

__

Additional comment

This problem statement asks for the answer as a percentage. It can also be written as a fraction (1/2) or a decimal (0.50).

The divisors of 45 are 1, 3, 5, 9, 15, 45.

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Mean = μ = 0.40

Standard deviation = σ = 0.015

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Female colorblindness proportion = 1%

Male colorblindness proportion = 8%

Female sample size = 40

Male sample size = 20

Hence, We get;

Let us check if the condition np ≥ 10 is satisfied or not,

⇒ np

⇒ 40 × 0.01

⇒ 0.4 < 10

Since, the condition np ≥ 10 is not satisfied the binomial random variable cannot be well approximated by a normal random variable. A larger sample size would be required to satisfy the condition np ≥ 10.

Hence, The mean is,

μ = np

μ = 40*0.01

μ = 0.40

And, The standard deviation is,

σ = √p(1 - p)/n

σ = √0.01(1 - 0.01)/40

σ = 0.015

Thus, We get;

Mean = μ = 0.40

Standard deviation = σ = 0.015

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The Histogram shows the distribution of the students’ balance-scale readings is Histogram II.

The distribution of numerical data is roughly shown by a histogram. Karl Pearson was the one who initially coined the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count the number of values that fall into each interval.

The bins are often defined as a series of discrete intervals that don't overlap. The bins (intervals) must be close together and frequently, but not always, have the same size.

When the mean and median are equal, a histogram is said to be symmetrical. A symmetric histogram will be split into two equal halves if we draw a line through its centre. The two parts will be exact replicas of one another. 

Therefore, The Histogram shows the distribution of the students’ balance-scale readings is Histogram II.

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Function f(x) is translated to the right 5 units.

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

The function f(x)=∛x+4 is transformed to f(x)=∛(x−1) +3.

Putting the values in the graph we see that mid points of both the graphs are:

[tex]\left(-4,\ 0\right)[/tex] original function

[tex]\left(1,\ 3\right)[/tex] transformed function

x₁ ⇒ x₂ and y₁ ⇒ y₂ is the transformation

here,

-4 ⇒ 1

= +5 (positive symbol means to the right)

and

0 ⇒ 3

= +3 (positive symbol means to upward direction)

Thus, Function F translated to up 3 units and translated right 5 units

Hence, Function f is translated to the right 5 units.

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Step-by-step explanation:

If the slope is -1 then every time it moves 1 down it moves 1 right

It is going down because the slope is negative.

It touches the y-axis at -1.

(Download pdf to see graph)

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Answer:

Step-by-step explanation:

y=-1x+1/6

The equation by substituting first equation in the second equation:

[tex]n^2 - c^2 =0[/tex]

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

The  equation for both triangles have :

[tex]c^2 = a^2 + b^2\\n^2 = a^2 + b^2[/tex]

To write the equation by substituting first equation in the second equation.

Now consider,

[tex]c^2 = a^2 + b^2-------(1)\\n^2 = a^2 + b^2-------(2)[/tex]

Now, Plug the value of equation(2) in (1), we get

[tex]n^2 = c^2[/tex]

[tex]n^2 - c^2 =0[/tex]

Hence, the equation by substituting first equation in the second equation:

[tex]n^2 - c^2 =0[/tex]

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The radius of the cylinder will be equal to 112.8 cm.

The capacity of an object is measured by its volume. For instance, a cup's volume is said to be 100 ml if it can hold 100 ml of water in its brim. The amount of space occupied by a three-dimensional object can also be used to define volume.

Given that a graduated cylinder that is 24 cm tall can hold 1 L of water. The radius of the cylinder will be calculated as:-

Volume = 1 L

Volume = 1000000 cm³

πr²l =  1000000 cm³

r² = ( 1000000 / π x 25 )

r² = 12732.4

r = √12732.4

r = 112.8 cm

Therefore, the radius of the cylinder will be 112.8 cm.

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The below calculation allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

To create a fruit punch that is entirely fruit juice, we must calculate the ratio of fruit juice to total punch. To do this, we will use the following formula:

Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100

For example, if we have 10 ounces of fruit juice and 10 ounces of fruit punch, the ratio of fruit juice to total punch is 50%. Therefore, we need to mix 50% fruit juice with 50% punch to create a fruit punch that is entirely fruit juice.

To calculate this for any given amount of fruit juice and punch, we simply plug the numbers into the formula. For instance, if we have 20 ounces of fruit juice and 60 ounces of punch, the ratio of fruit juice to total punch is 25%. Therefore, we need to mix 25% fruit juice with 75% punch to create a fruit punch that is entirely fruit juice.

By using this formula, we can easily determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

We can use the formula Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100 to calculate the ratio of fruit juice to total punch. This allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

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Typically, these services are covered by closing costs associated with a real estate transaction. Closing costs are fees charged by various parties involved in the home-buying process and can include the cost of a credit score check, attorney fees, and notary fees.

A credit score check is often required by a lender as part of the mortgage approval process, and the fee for this service can be included in the closing costs. The fee for an attorney can also be included in closing costs, especially if the attorney is hired to review and explain the closing documents. An attorney can also represent the buyer or the seller during the closing process and advise them of their rights and obligations.

A notary is typically required to witness the signing of legal documents, such as the mortgage or deed, and a notary fee can also be included in the closing costs. The exact amount of each of these fees can vary, and it's common for buyers to receive an estimate of their total closing costs from their lender prior to closing.

It's important to note that closing costs are separate from the down payment and can add several thousands of dollars to the overall cost of buying a home, so it's a good idea for buyers to carefully review their closing cost estimate and understand what each fee covers.

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As per normalization, the session table uses the third normal form

Normalization is an important step in designing a database, as it helps to eliminate issues such as data integrity and redundancy. This is achieved through a series of steps, known as normalization.

The Sports Physical Therapy Center database has a table named Session that keeps track of all therapy appointments at the center. The table contains various pieces of information such as the session number, date, patient number, length of session, therapist ID, therapist's last and first name, and the therapy code.

The Session table is used to check if there are any design issues and to apply the necessary normalization steps to fix these issues and ensure data is stored in an organized manner.

Thorough this we have identified that the 3rd normal for is used here.

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In part (a), the y-intercept is (0,3), which means that when x = 0, the value of f(x) is 3. In part (b), the y-intercept is (0,0), which means that when x = 0, the value of f(x) is 0. In part (c), the y-intercept is (0,-6), which means that when x = 0, the value of f(x) is -6.

A transformation of a function is a process that changes the position or shape of the function on a coordinate plane. There are several types of transformations, including:

Translation: A translation moves the graph of a function horizontally or vertically, but does not change its shape. This can be accomplished by adding or subtracting a constant to the input or output of a function.

Scaling: A scaling changes the size of a function's graph, but not its shape. This can be accomplished by multiplying the input or output of a function by a constant.

Reflection: A reflection flips the graph of a function over a line. This can be accomplished by negating either the input or the output of a function.

Stretching or Compression: A stretching or compression changes the height or width of a function's graph, but not its shape. This can be accomplished by multiplying the output of a function by a constant greater than 1 for stretching, or by a constant between 0 and 1 for compression.

These transformations can be used to shift, scale, reflect or distort the graph of a function, allowing for greater understanding and analysis of its properties.

a. f(x) = [tex]3(2)^{x}[/tex] + 3 is an exponential function that has been vertically shifted up by 3 units. The y-intercept is (0,3), which means that when x = 0, the value of f(x) is 3.

b. f(x) = [tex]6(4)^{x}[/tex] * 0.5 is an exponential function that has been vertically stretched by a factor of 0.5 and horizontally stretched by a factor of 6. The y-intercept is (0,0), which means that when x = 0, the value of f(x) is 0.

c. f(x) = [tex]4(0.5)^{x}[/tex] - 6 is an exponential function that has been vertically shifted down by 6 units. The y-intercept is (0,-6), which means that when x = 0, the value of f(x) is -6.

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Answer: (3, 1)

Step-by-step explanation:

point D is at (0,3) if it is translated 3 units to the right and 2 units down that means the x value will be added by 3 and the y value will be subtracted by 2

0+3 = 3; 3-2 = 1

D' is at (3,1)

The ordered pair that lies on the inverse of the function is (6, -3)

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

g(x)=−(x+1)3−2.

Rewrite as

g(x) = −(x + 1)³ − 2

Next, we test the options

Set x = -3

So, we have the following representation

g(-3) = −(-3 + 1)³ − 2

Evaluate the expression

g(-3) = 6

As an ordered pair, we have (6, -3)

So, the ordered pair of the inverse is (6, -3)

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The triangles are similar by the SAS(side–angle–side) criteria for triangle similarities.

The SAS(side–angle–side) criterion for triangle similarity states that If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.

Observing the triangles, if the ratio of side lengths 24 and 120 is equal to that of 14 and (14 + 56), then the angles inscribed by the two sides are in both triangles are equal.

24 : 120 = 24/120

24 : 120 = 1/5

24 : 120 = 1: 5

14 : 70 = 14/70

14 : 70 = 1/5

14 : 70 = 1 : 5

In conclusion, the triangles are similar by the SAS(side–angle–side) criteria for triangle similarities

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Answer:

1.) 160

2.) 40

3.) 200

Step-by-step explanation:

Hoped this helped! =)

Option A is the correct option

So, the approximate form of the expression for all values of t is 0.75.

The expression 3(1.25)/5 can be simplified to

3/5 * 1.25

= 0.75.

=3(0.25)

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Term is defined as a constant, a single variable, or a mixture of variables and constants multiplied or divided. Algebra Expression Example: 3x + 9, 5x + 10

To simplify simply is to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

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The possible values of the number x are any real number that is less than or equal to 103.2. This can be written as: x <= 103.2

Let's call the number "x".

The sum of 4.5 and one-third of x can be written as:

4.5 + (1/3)x

The inequality to represent the statement "the sum is equal to at most 38.9" would be:

4.5 + (1/3)x <= 38.9

To solve for x, we can isolate x by subtracting 4.5 from both sides:

(1/3)x <= 34.4

And finally, multiplying both sides by 3:

x <= 103.2

So, all the possible values of the number x are any real number that is less than or equal to 103.2. This can be written as:

x <= 103.2

or

-∞ < x <= 103.2

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Answer:

Step-by-step explanation:

1. B

2.D

3.2

4.A,C,D

Answer:

1=b

Step-by-step explanation:

go to the comments for other answers

Hello,

Answer:

We can start by rationalizing the denominators of each fraction.

For the first fraction, we multiply the numerator and denominator by the conjugate of the denominator, which is √4 - √5:

1/√4+√5 = 1/√4+√5 × (√4 - √5)/(√4 - √5)

= (√4 - √5)/(4 - 5)

= (√4 - √5)/(-1)

For the second fraction, we multiply the numerator and denominator by √5 - √6:

1/√5+√6 = 1/√5+√6 × (√5 - √6)/(√5 - √6)

= (√5 - √6)/(5 - 6)

= (√5 - √6)/(-1)

We can do the same for the remaining fractions:

1/√6+√7 = (√6 - √7)/(-1)

1/√7+√8 = (√7 - √8)/(-1)

1/√8+√9 = (√8 - √9)/(-1)

Now we can simplify the expression:

1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9

= (√4 - √5)/(-1) + (√5 - √6)/(-1) + (√6 - √7)/(-1) + (√7 - √8)/(-1) + (√8 - √9)/(-1)

= (√4 - √5 + √5 - √6 + √6 - √7 + √7 - √8 + √8 - √9)/(-1)

= (√4 - √9)/(-1)

= √9 - √4

= 3 - 2

= 1

Therefore, the expression simplifies to 1, which is equal to the right-hand side of the equation.

Good luck