what is the area of this quadrilateral
A.80 square feet
B.30 square feet
C.50 square feet
D.130 square feet

The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).

One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)

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The polynomial to represent the volume of the rectangular prism is:

V = (0.5x - 3) × (x - 4) × (x + 5)

Simplifying this expression gives V = 0.5x³ - 6.5x² - 23x + 60

How to calculate the volume (V) of a rectangular prism?
The volume (V) of a rectangular prism can be calculated using the formula V = l × w × h, where l, w, and h are the length, width, and height of the prism respectively.

Here, the length (l) can be represented by (0.5x - 3), the width (w) can be represented by (x - 4), and the height (h) can be represented by (x + 5).

Therefore, the polynomial to represent the volume of the rectangular prism is:

V = (0.5x - 3) × (x - 4) × (x + 5)

Simplifying this expression gives V = 0.5x³ - 6.5x² - 23x + 60

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For the given triangle ΔABC the value of (x + y) would be 7 cm.

What is an equilateral triangle?

An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.

Given data:

Length of AB = (3x + 2) cm.

Length of AC = 11 cm.

Length of BC = (2y + 3) cm.

The property of an equilateral triangle says that all sides of an equilateral triangle are equal.

then we can write,

                  AB = AC

               3x + 2 = 11

                3x = 11 - 2

                3x = 9

                x = 9/3

                x = 3 cm

Also, BC = AC

        2y + 3 = 11

        2y = 11 - 3

        2y = 8

          y = 8/2

          y = 4 cm

So the value of (x + y) = 3 +4

                                    = 7 cm.

Hence, For the given triangle ΔABC the value of (x + y) would be 7 cm.

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Answer: 10 2/3

Step-by-step explanation:

2*16/3 =32/3

(convert into a mixed fraction)

=10 2/3

Answer:

76.13

Step-by-step explanation:

27.5 square feet is trapezoid

16 square feet is parallelogram.

1.75*(27.5+16)

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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x in (-oo:+oo)

y = (5/4)*x-(7/4) // - (5/4)*x-(7/4)

y-((5/4)*x)+7/4 = 0

(-5/4)*x+y+7/4 = 0

y-5/4*x+7/4 = 0 // - y+7/4

-5/4*x = -(y+7/4) // : -5/4

x = (-(y+7/4))/(-5/4)

x = 4/5*(y+7/4)

x = 4/5*(y+7/4)

The area of the teacher workroom is 64 feet squared

Answer: 7 is the opposite of negative 7

Step-by-step explanation:

Hope this helps :)

Answer: D

Step-by-step explanation: ? question

For the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

To find the ratio of the average flux for e > 45 degrees to the omnidirectional flux in a pancake distribution of sin(a) where a = 0, we need to calculate the directional flux, omnidirectional flux, directional solid angle, and omnidirectional solid angle.

Directional Flux:

The directional flux is the flux within a specific direction or range of angles. In this case, we are interested in e > 45 degrees.

Omnidirectional Flux:

The omnidirectional flux is the total flux in all directions or over the entire solid angle.

Directional Solid Angle:

The directional solid angle is the solid angle subtended by the specified direction or range of angles. In this case, it would be the solid angle corresponding to e > 45 degrees.

Omnidirectional Solid Angle:

The omnidirectional solid angle is the total solid angle subtended by all possible directions or over the entire sphere.

To find the flux per solid angle for both the directional and omnidirectional cases, we can use the formula:

Flux per Solid Angle = Total Flux / Solid Angle

Finally, to find the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

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The value which shows the true solution to the given logarithmic equation is 1.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The given logarithmic equation is,

\(\rm log_{2} (x) + log_{2} (x +7) = 3.\)

Use the addition property of log in the above expression.

\(\rm log_{2} (x \times (x +7) )= 3.\\ (x \times (x +7) ) = 2^{3} \\x \times (x +7) = 8\\x^{2} +7x-8=0\)

Solve the quadratic equation we get,

\((x+8)(x-1)=0\)

x = -8, 1

Here, the logarithmic function is defined only for positive real numbers as its input.

Thus, the value which shows the true solution to the logarithmic equation solved above is 1.

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Answer:X=1

Step-by-step explanation:b on edge

Answer: I think it's a relflection over x-axis followed by a rotation of 180 degrees which is b

Step-by-step explanation:

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin

There are three types of translations -

Given is to find the set of transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2).

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

Therefore, the transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

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Answer:

8n² - 5

Step-by-step explanation:

n = 'a number'

The expression is  8x² - 5.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.

Given:

The product of eight and a number squared decreased by 5

let the number be x.

product of eight and a number squared

= 8x²

and decreased by 5

= 8x² - 5

hence, the expression is  8x² - 5.

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Answer: 24 Bricks make up the diameter

Step-by-step explanation:

If you use the sphere formula you can solve for the diameter using the radius.

d=2r=2·12=24!!!

Mark me branliest please

Answer:

y=-2x+10

Step-by-step explanation:

i graphed it i graphed all of them

Answer:

y-2x-2

Step-by-step explanation:

The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.

We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is \(y-y_{1} =m(x-x_{1} )\). So, we can insert the given information into this formula to get \(y+6=-2(x-2)\).

Next, we distribute the slope to the the parenthesis to get \(y+6=-2x+4\)

Then, we subtract 6 from both sides to get \(y=-2x-2\)

Since this equation is now in the form \(y=mx+b\), the answer is \(y-2x-2\)

Hope this helps! :)

Answer: 55

Step-by-step explanation: 13 -7 = 16. 16/2 = 8. 8 + 7 = 15. 8 X 5 = 40

To find the margin of error for the poll at the 95% confidence level, we can use the formula:

Margin of Error = z * sqrt(p * (1 - p) / n)

Given that the sample size is 280 and the proportion of people who liked dogs is 48% (0.48), we need to determine the appropriate value of z for a 95% confidence interval. The value of z for a 95% confidence interval is 2.

Substituting the values into the formula, we have:

Margin of Error = 2 * sqrt(0.48 * (1 - 0.48) / 280)

Calculating this expression, we find:

Margin of Error ≈ 2 * sqrt(0.48 * 0.52 / 280) ≈ 2 * sqrt(0.2496 / 280) ≈ 2 * sqrt(0.000892)

Simplifying further, we get:

Margin of Error ≈ 2 * 0.0299 ≈ 0.0598

Therefore, the margin of error for this poll, at the 95% confidence level, is approximately 0.0598 or 5.98%.

The margin of error represents the maximum expected difference between the estimated proportion in the poll and the true proportion in the entire population. It indicates the level of uncertainty associated with the poll's results and helps determine the range within which the true proportion is likely to fall. In this case, at a 95% confidence level, we can expect the actual proportion of people who like dogs to be within 5.98% of the estimated proportion obtained from the poll.

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Answer:

The answere is a=y-x

I hope this help

The center of the circle is (0, 0) and the radius is 6. The equation x^2 + y^2 = 36 represents a circle in the coordinate plane.

The general equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius. Comparing the given equation to the general equation, we can see that the center of the circle is located at the origin (0, 0) since there are no constants added or subtracted to the x and y terms. Therefore, the center of the circle is (0, 0).

To find the radius of the circle, we can take the square root of the constant term on the right side of the equation. In this case, the constant term is 36, so the radius is √36 = 6.

Therefore, the center of the circle is (0, 0) and the radius is 6.

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Answer:

Step-by-step explanation:

The simaltaneous equation are:

● 3a + 2b = 6

● 3b - 2a = 10

Graph both equations

While graphing use x instead of a and y insread of b in the graphing tool

The solutions are the coordinates of the intetsection point between the two lines.

The intersection point coordinates are approximatively (-0.15,3.2) picture below

Wich means:

● x = a = -0.15

● y = b = 3.2

Step-by-step explanation:

3a+2b=6

3b-2a=10

3a+2b=6 multiply by 3

-2a+3b=10 multiply by 2

9a+6b=18

-4a+6b=20 (-)

13a= –2. divide b.s by 13

a= –2/13

3b-2a=10

3b-2(-2/13)=10

3b+4/13=10

3b=10-4/13

3b=126/13. divide b.s by 3

b=42/13

The equation we'll work with is: cosθcotθ + sinθ = cosecθ
- Rewrite the terms in terms of sine and cosine.
 cosθ (cosθ/sinθ) + sinθ = 1/sinθ

-Simplify the equation by distributing and combining terms.
(cos²θ/sinθ) + sinθ = 1/sinθ

- Make a common denominator for the fractions.
(cos²θ + sin²θ)/sinθ = 1/sinθ

-Use the Pythagorean identity, which states that cos²θ + sin²θ = 1.
1/sinθ = 1/sinθ
Now, we have shown that the left side of the equation is equal to the right side, thus proving that cosθcotθ + sinθ = cosecθ is an identity.

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The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

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The slope of the line forming the smallest right triangle, when a line is drawn through the point (1, 2), is 2.

The slope of the line forming the smallest right triangle with the positive x and y axes, when a line is drawn through the point (1, 2), can be determined as follows.

First, let's consider the two axes as the legs of the right triangle, and the line drawn through (1, 2) as the hypotenuse. The slope of the hypotenuse can be calculated by finding the difference in y-coordinates divided by the difference in x-coordinates between the two endpoints.

Since the x-coordinate of the point where the line intersects the x-axis is 0 (positive x-axis), and the y-coordinate of the point where the line intersects the y-axis is 0 (positive y-axis), the difference in y-coordinates is 0 - 2 = -2, and the difference in x-coordinates is 0 - 1 = -1.

Therefore, the slope of the line forming the smallest right triangle is -2/-1 = 2.

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There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

Given, the Pearson correlation coefficient of +0.91,

There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.

It suggests that the more times a widow was married,the more cats she tends to own.

Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).

Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

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The fuzzy set C = A∩B may or may not be normal depending on the degree of overlap between A and B.

If A and B have a small overlap or do not overlap at all, then C will be normal. However, if A and B have a significant overlap, then C may not be normal.

For card(C) to be greater than zero, the supports of A and B must overlap at least partially. Specifically, there must be at least one element in the intersection of the supports of A and B.

This is because the support of a fuzzy set determines the range over which the set is defined, and if the supports of A and B do not overlap, then there is no range over which C can be defined.

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The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.

To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.

Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.

The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.

Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.

By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.

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Answer:

41

Step-by-step explanation:

The line m is the reflection line.

So b corresponds with b' and c with c'

The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.

Therefore the answer is d) $1,662.50.

Here is the breakdown of the calculation:

Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000

The first $3,500 are taxed at 3%, which is

= 0.03×3500

= $105

The next $3,500 are taxed at 4.5%, which is

= 0.045×3500

= $157.50

The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is

= 0.07×20000

= $1,400

Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.

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