What is the horizontal shift for the absolute value function f(x)=3 |x+6| +9

The classification of the triangle according to its side lengths and vertices would be scalene triangle.

To classify the triangle, you first need to find the lengths of the sides of the triangle. You can do this by finding the distance between the vertices given.

To find the vertices, the formula is:

= √ ( ( x₂ - x₁ ) ² + ( y ₂ - y ₁) ² )

The length of AB is therefore 3.61 units

The length of BC is 8.54 units

The length of AC is 10 units.

None of the side lengths of this triangle are the same so it is a scalene triangle.

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The equivalent measure of the angle when converted from radians to degrees is 128.57 degrees

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

Angle = \large \frac{5\pi}{7}radians to degrees.

This angle can be properly expressed

So, we have the following representation

Angle = 5π/7 radians

Also, the angle can be further expressed

So, we have the following representation

Angle = 5/7 π radians

As a general rule of angle conversion, we have

π radians = 180 degrees

Substitute the known values in the above equation, so, we have the following representation

Angle = 5/7 * 180 degrees

Evaluate the products

Angle = 128.57 degrees

Hence, the measure of the angle in degrees is 128.57 degrees

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Answer the angle when converted from radians to degrees is 128.57 degrees

Angle = 5π/7 radians

Angle = 5/7 π radians

π radians = 180 degrees

Angle = 5/7 * 180 degrees

Evaluate the products

Angle = 128.57 degrees

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The number of units to sell to break even is 3753.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

C = 2.5x + 14,000

R = 6.23x

Where,

C is the total cost.

R is the total revenue.

Now,

The number of x units a company must sell to break even.

2.5x + 14,000 = 6.23x

14000 = 6.23x - 2.5x

14000 = 3.73x

x = 14000 / 3.73

x = 3753

Thus,

The number of units to sell to break even is 3753.

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Answer:

25. y = 36

26. w = -4

Explanation:

25.

74 + 74 = 148

360 - 148 = 212

212 ÷ 2 = 106

106 = 2y + 34

106 - 34 = 2y

72 = 2y

72 ÷ 2 = (2y) ÷ 2

y = 36

26.

72 = 2w + 80

72 - 80 = 2w

-8 = 2w

-8 ÷ 2 = (2w) ÷ 2

w = -4

Answer:

there was 30 people at her birthday party

In mathematics, Stirling's approximation (or Stirling's formula) is a factorial approximation. A good approximation that gives accurate results even for small values ​​of n. It is named after James Stirling and was first given by Abraham de Moivre, although relevant but less accurate.

Factorial is one of thein mathematics. It is also an important mathematical concept ubiquitous concepts used in data science. Factors are used to model probability distributions in Poisson processes. The probability mass function of the Poisson distribution has a factorial formula in the denominator. You can't find the probability of a Poisson random variable without a way to compute the factorial.

Factorials are also related to combinatorics. For example, hmm! is the number of permutations of n unique objects. From the point of view of statistical mechanics, entropy is defined as a combinatorial problem. Entropy also has its own definition in information theory. Comparing the two alternative definitions, they are identical.

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Answer: The answer is 3

Step-by-step explanation: I’m smart.

x= 3.

[tex]19 - 4x = 2x + 1[/tex]

[tex]19 - 4x-19 = 2x + 1-19\\ \\-4x=2x-18[/tex]

[tex]-4x-2x=2x-18-2x\\ \\-6x=-18[/tex]

[tex]\frac{-6x}{-6} =\frac{-18}{-6} \\ \\x=3[/tex]

[tex]19 - 4(3) = 2(3) + 1\\ \\19-12=6+1\\ \\7=7[/tex]

That's correct. Therefore, x= 3 is the correct answer!

The equation of the line parallel to y = 6 and passing through (-1, 8) is y = 8.

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given that, an equation of the line that passes through (-1, 8) and is parallel to the line y = 6.

Slope of the parallel lines are equal to each other, therefore, solving for c,

8 = -1x0 + c

c = 8

Hence, The equation of the line parallel to y = 6 and passing through (-1, 8) is y = 8.

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The number of capybaras that you will get after 14 days is given as follows:

3 capybaras.

Initially, the number of capybaras that you have is given as follows:

2 capybaras.

The pattern is then given as follows:

The time composed by 14 days is of 2 weeks, then the procedure will finish on the Monday 2 weeks from now.

The number of capybaras in that Monday than can be calculated step by step as follows:

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Answer:

7pi/9

Step-by-step explanation:

subtract 360 from 500 as many times as you can

number left should be converted to radians

500 - 360 = 140

140 * (pi/180) =

140Pi/180 =

simplify by dividing by 20 top & bottom

7Pi/9

varsitytutors

The transfer function for the given integrator circuit in terms of frequency,f and imaginary unit,j is expressed as [tex]T(f)=-j0.00628f[/tex]

The figure of the integrator is shown at bottom of the answer.

The transfer function of an integrator can be expressed in form of impedances of the circuit elements connected to the op-amp.

Assume the impedance at the input side be [tex]Z_1[/tex] and impedance of the feedback be [tex]Z_2[/tex]

We can observe that at input, in consists of capacitor with capacitance,C [tex]= 0.1\mu F=10^{-7}F[/tex]

and at the feedback loop, the circuit element is a resistor with resistance,R [tex]= 10k\Omega = 10^4 \Omega[/tex]

Now,

the transfer function for an integrator can be written as ,

[tex]T(f) = -\frac{Z_2}{Z_1}[/tex]

We know that,

impedance of capacitor is [tex]Z_1=\frac{1}{j\omega C}=\frac{1}{j2\pi f C}[/tex]

impedance of resistor is [tex]Z_2=R[/tex]

Now,

[tex]T(f)=-\frac{R}{\frac{1}{j2\pi fC}}\\\\T(f)=-R*j2\pi f C\\\\T(f)=-j10^4*2\pi f 10^{-7}\\\\T(f)=-j0.00628f[/tex]

Hence, the transfer function is [tex]T(f)=-j0.00628f[/tex]

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Answer: True.

Because the trapezoid is isosceles, the base angles are congruent by default.

Given isosceles trapezoid ABCD

Sides AB and DC are congruent

By the SAS postulate, triangles ABC and DCB are congruent

Therefore, segment AC is congruent to segment DB

Answer:

2

Step-by-step explanation:

5 servings = 2 cups of milk

1 serving = 2/5 cups of milk

do not worry about the fraction of milk for now!!

8 servings = 2/5 × 8 cups of milk

= 3.2 cups of milk

= 3 cups (rounded down)

The value of the standard deviation does not change and remains the same.

Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.

The mean μ = 82.4

The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]

we have to find the variance,

We now add a constant k to each data value and calculate the new mean μ'.

μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k

We now calculate the new mean standard deviation σ'.

σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]

Note that x + k - μ' = x + k - μ - k = x - μ

also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ

Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ

If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.

Hence, the standard deviation does not change.

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After analyzing the given data we will get to know that all the options mentioned above are true.

A = BUC, B is a singleton set, and A = CU2 if A is the set of all prime numbers, B is the set of all even prime numbers, and C is the set of all odd prime numbers. Therefore, option D - All of the specified - is the answer to this question.

We've got

The entire set of prime numbers is A.

A = {2, 3, 5, 7, 11, 13}

B is a collection of even prime numbers.

B = {2}

C is a collection of all odd prime numbers.

C = {3, 5, 7, 11, 13,}

We are aware that the only even prime number is two. As a result, Set B is a singleton set because it only has one element.

Additionally, if we combine sets B and C, we will obtain set A, which contains all prime numbers.

Thus, we obtain A = B U C.

Since B = 2 is a singleton set, if we have A = B U C, we can also say A = C U 2.

Therefore, each of the aforementioned choices is appropriate.

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The ounces of butter that are needed to make a pound of jelly is  3 ounce  .

In the question ,

it is given that ,

Samuel is using 1/5 of an ounce of butter to make 1/15 of a pound of jelly.

let the number of ounces of butter needed to make a pound of jelly be "x" .

So , the equation for the situation can be represented as

( 1/5 ounce butter)/(1/15 pound jelly) = x/( 1 pound jelly)

So ,after cross multiplication ,

we get ,

15/5 = x/1

So , x = 3  .

Therefore , the ounces of butter needed is 3 ounce .

The given question is incomplete , the complete question is

Samuel used 1/5 of an ounce of butter to make 1/15 of a pound of jelly. How many ounces of butter are needed to make a pound of jelly ?

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a) The length of segment A'B' is given as follows: 4 units.

b) The length of segment B'B is given as follows: 4 units.

The two similar triangles in this problem are given as follows:

ABC and A'B'C'.

Then side lengths of ABC are given as follows:

12, 9 and 2 + x.

The equivalent side lengths on triangle A'B'C' are given as follows:

y, 3 and 2.

When the triangles are similar, the side lengths are proportional, hence the following equation is built:

12/y = 9/3 = 2+x/2.

Then the length of segment A'B' is obtained as follows:

12/y = 9/3

12/y = 3

3y = 12

y = 12/3

y = 4.

The length of segment B'B is x, hence it is obtained as follows:

9/3 = 2+x/2.

2 + x = 6

x = 4 units.

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Answer:

I don't know the answer of this questions

According to the given hypothesis, the experiment was conducted based on the observational study.

Hypothesis:

in statistics, the statement of expectation or prediction that will be tested by research is known as hypothesis.

Given,

Here we have a study was conducted to determine if drinking a cup of tea before bedtime helped with falling asleep faster. after randomly assigning 50 people to one group that received tea before bedtime and 50 other people to a group that did not receive tea before bedtime, the researcher then compared the amount of time it took for each person to fall asleep.

Now, we need to find the type of study used in the given study.

While we looking into the given question, we know that they researchers must study the group of 100 people sleeping patter.

Here the total amount is divided into two parts, the first group who is taken tea before bed and the second one is not.

Here the researchers observe the behavior of the people. So, these type of research fall under the observational study concept.

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Based on the information , the store that gives the best deal is Store A .

Inn the question ,

it is given that ,

the original price for the shoes that Samuel is buying is = $80 .

the discount offered by Store A is = 25% ,

So , the effective price is = 80 - 0.25 of original price  

Substituting the values  ,

we get ,

= 80 - 20

= $60

the discount offered by Store B is = $10

So , the effective price is = 80 - 10 = $70 .

So , the price of shoe is less in store A in comparison to store B .

Therefore , the best deal is given by Store A .

The given question is incomplete , the complete question is

Samuel is buying a pair of boots with an original price of $80. Store A is offering a 25% discount off the original price of all boots. Store B is offering a $10 discount off the original price of all boots .

Based on this information, which store gave the best deal ?

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Answer:

34

× 12

---------

8

60

40

+ 300

----------

= 408

a. When vector is added to vector , the resultant is vector such that its magnitude and direction is proportional to the resultant magnitude and direction of the component vectors.

b. ∅ = (Rx/Ry)

Vectors are used to represent physical quantities in terms of magnitude and direction. Vectors can be added using the parallelogram method or the triangle addition method. The magnitude and direction of the resulting vector are generally proportional to the magnitude and direction of the component vectors.

I have every vector in 2D that has both vertical and horizontal components.

There are vectors say:  A = xi + yj

                              and, B =zi + wj

For example, adding two vectors gives the result

R = (x +z)i + (y + w) j.

The - component has y +w as z and the y component as w. The sum has the horizontal component as x + z and the vertical component as y + w. So we get the y component of the resulting vector R = A+ y component of B

The direction of the angle is found as

tan∅ = Rx/Ry

     ∅ = (Rx/Ry)

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Answer:

The relationship between n and k represent by 8n+7k=73 (option B) when 100 ounces of fuel are used in total

11 more units of energy were produced by the type A generator than by the type B generator

Step-by-step explanation:

Type A generate produces n units of energy so,f(n)=10+8n

Type B generate produces k units of energy so,g(k)=17+7k

f(x) and g(x) represent amounts of fuel used.

Total ounces of fuel used = 100

f(x)+g(x) = 100

f(n)+g(k)=100

10+8n+17+7k=100

8n+7k=100-10-17

8n+7k=73

The relationship between n and k represent by 8n+7k=73(option B)

Total ounces of fuel used = 216

f(x)+g(x) = 216

f(n)+g(k)=216

10+8n+17+7k=216

8n+7k=216-10-17

8n+7k=189

n+7n+7k=189

n+7(n+k)=189

Total energy produced = n + k = 25

n+7(n+k)=189

n=189-7(n+k)

n=189-(7 ✕ 25)

n=189-175

n=14 units

Total energy produced = n + k = 25

Substitute n = 14 in n + k = 25,we get

14+k =25

k=25-14=11

k=11 units

11 more units of energy were produced by the type A generator than by the type B generator

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Triangle ABC and triangle XYZ are congruent thus ∆ABC and XYZ are similar

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects.

if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

line DY bisects AC and line ZE bisects line AB.

Therefore line AD is congruent to line AE and line CD is congruent to line EB.

therefore AB = CD and similar XY = YZ

therefore ∆ABC and ∆XYZ are similar

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Answer:

30/4+5•3-9

= 7.5+15-9

= 22.5-9

= 13.5

Step-by-step explanation:

From given data we can conclude that there is no influence of age on how many hours a person spends doing/reading/answering emails in a week.

In this question, the given data has 2 categories of age and the number of hours per week someone spends on email.

Let H0(null hypothesis): age has any influence on how many hours a person spends doing/reading/answering emails in a week.

Ha = age has no influence on how many hours a person spends doing/reading/answering emails in a week.

36 and under   over 36       x - y          (x - y)²

      28                  0              28             784

       4                   2               2                 4

       2                   0               2                 4

      25                  1              24               576

      15                  5              10               200

       3                   2                1                  1

      15                  4               11               121

      20                  8               12               144

      10                  5                5                  25

       1                  10               -9                 81

                            Total :        86             1940

Using the formula for t-score:

t = (∑D / N)/[√(∑D² - (∑D)²/N)/(N-1)N]

where

∑D = sum of differences

∑D² = sum of squared differences

(∑D)² = square of sum of differences

t = (86 / 10)/[√(1940 - 7396/10)/(10-1)10]

t = 8.6/√((1940 - 739.6)/90)

t = 8.6 /√(1200.4/90)

t = 8.6 /√13.34

t = 2.35

The p-value with degree of freedom = 9 and alpha-level = 0.05 is 0.021653

Since calculated value is greater than the p-value, we reject the null hypothesis.

Therefore, age has no influence on how many hours a person spends doing/reading/answering emails in a week.

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