Which numbers have line symmetry?
2, 3, 4 7,8,9​

Answer: B) \(f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}\)

Step-by-step explanation:

When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of

*shifting left 1 unit

*vertically compressed by 1/3

*reflect over the y-axis

So the answer is B

The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁵

On reflecting over the y axis , we get

f ( x ) = ( -x )⁵

On vertically compressing by a factor of ( 1/3 ) , we get

f ( x ) = ( 1/3 ) ( -x )⁵

And , shifting 1 unit to the left , we get

f ( x ) = ( 1/3 ) ( -x + 1 )⁵

Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

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The major arc AEB has a measure of 229 degrees.

How to solve the Arc of the circle?

Since AD and CE are diameters of the circle, we know that angle AED is 90 degrees. Since all of the points A, B, C, D, and E lie on the circle, we can assume that angle AEB is also 90 degrees.

Let's call the intersection of BE and AD point F. Since angle AEB is 90 degrees, we know that triangle AEB is a right triangle and that BF is the altitude from B to AE.

Now, let's use some angle chasing to find the measure of angle EBF. Since angle BPC is 38 degrees and P is the center of the circle, we know that angle BAC (which is half of arc BC) is also 38 degrees. Similarly, angle CED is also 38 degrees.

Since angle EPD is 93 degrees and ED is a diameter, we know that angle EDP is 90 degrees. Therefore, angle PDE is 93 - 90 = 3 degrees.

Now, we can find angle CDF (which is half of arc CD) by subtracting the measures of angles CED, PDE, and PDC (which is 90 degrees).

angle CDF = (180 - angle CED - angle PDE - 90) degrees

= (180 - 38 - 3 - 90) degrees

= 49 degrees

Since AD is a diameter, we know that angle AFD is 90 degrees. Therefore, angle EBF is:

angle EBF = angle AFD - angle AFE - angle CDF degrees

= (90 - 90 - 49) degrees

= 41 degrees

Now, we can use the fact that angle AEB is 90 degrees and angle EBF is 41 degrees to find the measure of the major arc AEB.

The measure of minor arc AB is 90 degrees (since it is half of arc AEB), so the measure of major arc AEB is:

measure of major arc AEB = 360 - measure of minor arc AB - angle EBF degrees

= 360 - 90 - 41 degrees

= 229 degrees

Therefore, the major arc AEB has a measure of 229 degrees.

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Answer: B

Step-by-step explanation:

so for the slope to be parallel, it means it's the same slope as the given equation which is -5

using point slope, we can write a new equation

y -5 = -5(x+3)

y -5 = -5x-15

y = -5x-10

Answer:

y = 5

Step-by-step explanation:

−x+y=0   −2x+y=−5

Multiply the first equation by -2

-2(-x+y=0)

2x-2y =0

Add this to the second equation

 2x-2y =0

−2x+y=−5

-------------------

0x -y = -5

-y =-5

Multiply by -1

y = 5

Answer:

look at the photo

...................................

The criterion used to obtain the ordinary least square (OLS) estimator is to minimize the sum of the squared differences between the observed values and the predicted values.

In OLS, the goal is to find the line that best fits the given data points. The estimator minimizes the sum of the squared residuals, which are the differences between the observed values and the predicted values. The squared residuals are used to ensure that both positive and negative differences contribute to the overall error measure.

The OLS estimator achieves this by calculating the coefficients of the linear regression model that minimize the sum of the squared residuals. It finds the intercept and slope of the line that minimizes the total squared distance between the data points and the regression line. This minimization process is based on the principle of least squares, which aims to find the best-fitting line by minimizing the overall error.

By minimizing the sum of the squared residuals, the OLS estimator provides a measure of how well the regression line represents the data points. It allows for the determination of the line's slope and intercept, which can be used for predicting values and understanding the relationship between the variables.

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The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Answer:

  MO = 25

Step-by-step explanation:

Point O between parallel lines PQ and MN divides segment PM in the same proportion that it divides segment QN.

  MO/OP = NO/OQ

  MO/20 = 20/16 . . . . . . use the given numbers

  MO = 20(20/16) . . . . . multiply by 20

  MO = 25

Answer:

67,200 (please note you did not specify the currency this is figured in so that is important to include in your answer. If this answer is in dollars, then make sure you add a dollars sign and specify "dollars" in your answer. If it is in another currency then put that in).

Step-by-step explanation:

First, we need to figure out how much the doctor makes per hour. Since there are 4, 15 minute billing periods per hour, we multiple to find the hourly billing charges:

4\(4*1200=4800\) (this is the amount the doctor makes per hour)

Next, we have to take that hourly charge and multiply it by 2 because we know the doctor works two hours per day:

\(4800*2=9600\) (this is the amount the doctor makes per day working two hours)

Finally, we know the doctor attends to the clinic two hours per day and seven days per week. We have to multiply the amount of money earned in two hours (9600) by 7 days:

\(9600*7=67,200\) (this is the amount the doctor makes in seven days, billing two hours per day)

The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):

\($$ BD^2 = 4^2 + 5.5^2 $$\)

\($$ BD^2 = 16 + 30.25 $$\)

\($$ BD^2 = 46.25 $$\)

\($$ BD = \sqrt{46.25} $$\)

\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)

Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):

\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)

\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)

\($$ \cos(A) = 0.5471 $$\)

\($$ A = \cos^{-1}(0.5471) $$\)

\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)

Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:

\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)

\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)

\($$ \cos(B) = 0.7416 $$\)

\($$ B = \cos^{-1}(0.7416) $$\)

\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)

Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

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Answer:

A

Step-by-step explanation:

-4x+5y=10. -4x+5y=10. -4x+5y=10

Answer: 70%

Step-by-step explanation:

5 is 10% of 50. So 15 is 30% 50. So it missing 70%

The main answer in one line is: y = -x^2 - 8x - 18.

The given prompt provides a set of equations and their corresponding graphs. Each equation represents a different mathematical relationship between variables. By observing the graphs, one can deduce information about the equations, such as their shapes and characteristics.

The equations and graphs provided include quadratic functions, linear functions, and a single constant equation. Analyzing the graphs helps visualize the behavior and patterns of these mathematical functions. This exercise aids in understanding the visual representation of equations and strengthens the connection between algebraic expressions and graphical representations.

By examining the relationships between the equations and their respective graphs, one can develop a better understanding of mathematical concepts and their visual interpretations.

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Step-by-step explanation:

the answer is 5 all you got to do is take away 45 from 50

Answer:

m = 3 1/3

Step-by-step explanation:

I believe the question must be to find a value for m such that 3/m - 45/50.

 3/m = 45/50

45m = 150   [Cross multiply]

m = (150/45)

m = 3 1/3

Answer:

\(x = \frac{y - 3}{2} \\ \)

Step-by-step explanation:

\(y = 2x + 3 \\ y - 3 = 2x \\ \frac{y - 3}{2} = x \\ \)

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

Step-by-step explanation:

Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:

  X + Y = 10

  X + Z = 20

+  Y + Z = 24

----------------

2X + 2Y + 2Z = 54

Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.

This won't always work when you're solving three equations in three unknowns, but it's a trick that shows up frequently enough on assignments, standardized tests, etc. that it's worth mentioning.

The answer to the given question is 5≤x<9.

Open interval do not include the given points where close intervals include the given points.

According to the given question

x is less than 9 and greater than or equal to 5

5≤x<9

There are 4 types of inequalities lees than, greater than, less than or equal to, greater than or equal to.

Suppose a is greater than 2 and less than 6 this can be written as

2<x<6.

another example a is greater than or equal to 2 and less than or equal to 6 then this can be written as

2≤x≤6.

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Answer:

-46

Step-by-step explanation:

jsjsjdbsunejrhduhe8ehs8je8ejdunduebd

Answer: 1 1/5

Step-by-step explanation: Convert 1/4 into a decimal (.25) then find the percent of that decimal (25) simplify 30 (30/5) and 25 (25/5) then converted the fraction into a mixed number (1 1/5).

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

£67.87

Step-by-step explanation:

(Total increase) = (Original Amount) × (Multiplier)²

Rearrange the equation to find the original amount

(Total increase) ÷ ( Multiplier)² = (Original amount)

To find the Multiplier, add 1 to 3% = 1.03

Substitute what you can

(72) ÷ (1.03)² = Original amount

£67.8669054576 = Original Amount

Round up the number to 2 decimal places since it is British Pounds currency

£67.87 = Original Amount

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

\(\frac{11}{2} ,-\frac{13}{2}\)

Step-by-step explanation:

we know That l \(x\) l = x when x > 0 and l x l = - x when x <0

for the given equation - 5|3 + 4k| = - 115

when 3 + 4k > 0 the equation becomes

-5(3+4k) = - 115

→ -5 · 3 - 5 · 4k = - 115

→- 20k = - 115 + 15 = - 110

→ k = -\(\frac{110}{-20}\)  = \(\frac{11}{2}\)

Again when 3 + 4k <0 the equation becomes

-5(-(3+ 4k )) = - 115

→15 + 20k = - 115

→ 20k = - 115 - 15

→ 20k = - 130

⇒ k = -\(\frac{130}{20}\) = -\(\frac{13}{2}\)

Answer:

By using completing the square method, equation (x - 12) (x + 4) = 9 can be solved as x = (4 + √ 73) or (4 - √ 73)

The new position of arrowhead graph ABCD is A'B'C'D' as shown in the below graph.

We know that,

Graph rotation is the process of rotating a graph, which entails altering the orientation of the graph's edges or nodes while keeping their interactions.

From the given arrowhead graph as below;

]The points labelled are

A (-2, 2), B (0, 5), C (2, 2) and D (0, 3)

On rotating the graph through 90° anticlockwise around the origin (0, 0), the new positions of the points are:

A (-2, 2)  ⇒  A' (-2, -2)

B (0, 5)   ⇒  B' (-5, 0)

C (2, 2)   ⇒  C' (-2, 2)

D (0, 3)   ⇒  D' (-3, 0)

Therefore, the new position of arrowhead graph ABCD is A'B'C'D' as shown in the below graph.

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