Can someone help me figure out what is the period of the graph? Answer options are 60°, -2, 4, 120°, 180°

Answer:

-2 or -2/1

Step-by-step explanation:

Since the equation is in y = mx + b form with m equaling the slope, we can see that -2 is in m's place, so -2 is the slope.

The mean absolute deviation of the microphone prices at Mack's Music Machine is 4.4.

To find the mean absolute deviation of the data, we need to calculate the absolute deviations from the mean and then find the average of these absolute deviations.

First, we calculate the deviations from the mean for each data point:

|25 - 29| = 4

|28 - 29| = 1

|20 - 29| = 9

|22 - 29| = 7

|32 - 29| = 3

|28 - 29| = 1

|35 - 29| = 6

|34 - 29| = 5

|30 - 29| = 1

|36 - 29| = 7

Next, we find the sum of these absolute deviations:

4 + 1 + 9 + 7 + 3 + 1 + 6 + 5 + 1 + 7 = 44.

To calculate the mean absolute deviation, we divide the sum of absolute deviations by the total number of data points:

Mean Absolute Deviation = 44 / 10

= 4.4.

Therefore, the mean absolute deviation of the microphone prices at Mack's Music Machine is 4.4.

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Answer:

See explanartions below

Step-by-step explanation:

Given the coordinates A(-6,3) B(0,5) C(2,-1)

We first need to get the slope of AB, BC and AC

For AB;

A(-6,3) B(0,5)

Mab = 5-3/0-(-6)

Mab = 2/6

Mab = 1/3

For BC;

B(0,5) C(2,-1)

Mbc = -1-5/2-0

Mbc = -6/2

Mc = -3

For AC:

A(-6,3) C(2,-1)

Mac = -1-3/2-(-6)

MAc = -4/8

Mac = -1/2

Taking the product of Mab and Mbc

Mab * Mbc = 1/3 + -3

Mab * Mbc = -1

Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees

Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

The work done in pulling the rope up 10 ft is 864 ft-lbs, calculated by multiplying the rope's weight (72 lbs) by the distance (10 ft) it was lifted.

Work done = Weight x Distance

Work done = 72 lbs x 10 ft

Work done = 720 ft-lbs

Additional work done for weight of rope = Weight of rope x Distance

Additional work done for weight of rope = 90 x 10

Additional work done for weight of rope = 900 ft-lbs

Total work done in pulling the rope up 10 ft = 720 ft-lbs + 900 ft-lbs

Total work done in pulling the rope up 10 ft = 864 ft-lbs

The work done in pulling the rope up 10 ft is calculated by multiplying the weight of the rope (72 lbs) by the distance (10 ft) it was lifted. This gives us a result of 720 ft-lbs. However, since the rope is 90 ft long, we must also take into account the additional weight of the rope beyond the 10 ft that was lifted. So, we multiply the weight of the rope (90 lbs) by the distance (10 ft) to get an additional work done of 900 ft-lbs. Adding the two results together gives us 864 ft-lbs of work done in pulling the rope up 10 ft. This shows that the heavier a rope is, the more work must be done to lift it.

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75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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The values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

To find the values of f(1), f(2), f(3), f(4), and f(5) for each given recursive definition, we can use the initial condition f(0) = 3 and the recursive formulas.

(a) f(n+1) = -2f(n):

Using the recursive formula, we can find the values as follows:

f(1) = -2f(0) = -2(3) = -6

f(2) = -2f(1) = -2(-6) = 12

f(3) = -2f(2) = -2(12) = -24

f(4) = -2f(3) = -2(-24) = 48

f(5) = -2f(4) = -2(48) = -96

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = -2f(n) are:

f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, f(5) = -96.

(b) f(n+1) = 3f(n) + 7:

Using the recursive formula, we can find the values as follows:

f(1) = 3f(0) + 7 = 3(3) + 7 = 16

f(2) = 3f(1) + 7 = 3(16) + 7 = 55

f(3) = 3f(2) + 7 = 3(55) + 7 = 172

f(4) = 3f(3) + 7 = 3(172) + 7 = 523

f(5) = 3f(4) + 7 = 3(523) + 7 = 1576

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3f(n) + 7 are:

f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, f(5) = 1576.

(c) f(n+1) = f(n)^2 - 2f(n) - 2:

Using the recursive formula, we can find the values as follows:

f(1) = f(0)^2 - 2f(0) - 2 = 3^2 - 2(3) - 2 = 1

f(2) = f(1)^2 - 2f(1) - 2 = 1^2 - 2(1) - 2 = -3

f(3) = f(2)^2 - 2f(2) - 2 = (-3)^2 - 2(-3) - 2 = 7

f(4) = f(3)^2 - 2f(3) - 2 = 7^2 - 2(7) - 2 = 41

f(5) = f(4)^2 - 2f(4) - 2 = 41^2 - 2(41) - 2 = 1601

So, the values for f(1), f(2), f(3), f(4), and f(

using the recursive formula f(n+1) = f(n)^2 - 2f(n) - 2 are:

f(1) = 1, f(2) = -3, f(3) = 7, f(4) = 41, f(5) = 1601.

(d) f(n+1) = 3^(f(n)/3):

Using the recursive formula, we can find the values as follows:

f(1) = 3^(f(0)/3) = 3^(3/3) = 3^1 = 3

f(2) = 3^(f(1)/3) = 3^(3/3) = 3^1 = 3

f(3) = 3^(f(2)/3) = 3^(3/3) = 3^1 = 3

f(4) = 3^(f(3)/3) = 3^(3/3) = 3^1 = 3

f(5) = 3^(f(4)/3) = 3^(3/3) = 3^1 = 3

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

Note: In the case of (d), the recursive formula leads to the same value for all values of n.

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The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

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Answer:

there is no Pairs that equal 17

Step-by-step explanation:

Answer:

The coordinates of P' are \(P'(x,y) = (1, 0)\).

Step-by-step explanation:

The coordinates of the point P' is determined by the following expression:

\(P'(x, y) = P(x,y) + T(x,y)\) (1)

Where:

\(P(x,y)\) - Original point.

\(P'(x,y)\) - Translated point.

\(T(x,y)\) - Translation vector.

If we know that \(P(x,y) = (3, -3)\) and \(T(x,y) = (-2, 3)\), then the coordinates of point P':

\(P'(x,y) = (3, -3) + (-2, 3)\)

\(P'(x,y) = (1, 0)\)

The coordinates of P' are \(P'(x,y) = (1, 0)\).

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

pyramid side:

h = 3.25 ft

b = 2.5 ft

square base:

s = 2.5 ft

gallon of gold paint:

400 ft²

Step 02:

surface area:

square base area:

A = s² = (2.5 ft)² = 6.25 ft²

total pyramid sides area:

A = (b * h) / 2

A = (2.5 ft * 3.25 ft) / 2 = 4.0625 ft²

total pyramid sides area = 4 * 4.0625 ft² = 16.25 ft²

total trophy area:

total trophy area = 6.25 ft² + 16.25 ft² = 22.5 ft²

maximum number of trophies:

maximum number of trophies = 400 ft² / 22.5 ft² = 17.78

The answer is:

square base area = 6.25 ft²

pyramid side area = 4.0625 ft²

total pyramid sides area = 16.25 ft²

total trophy area = 22.5 ft²

maximum number of trophies = 17

True, when nesting loops, the inner loop must be completely contained within the outer loop and must use a different control variable.

When nesting loops, one loop is placed inside another loop. The purpose of nesting loops is to execute a set of instructions repeatedly in a structured manner. In this context, the statement is true: the inner loop must be entirely contained within the outer loop, and a different control variable must be used for each loop.

By containing the inner loop within the outer loop, we ensure that the inner loop executes its iterations every time the outer loop iterates. This nested structure allows for more complex and detailed looping patterns.

Using different control variables for the inner and outer loops is necessary to maintain independent control over their iterations. Each loop should have its own variable to track and control its progress. This distinction is crucial in preventing conflicts and ensuring that the loops function as intended.

Therefore, when nesting loops, it is essential to follow these guidelines: the inner loop must be entirely contained within the outer loop, and a distinct control variable should be used for each loop to ensure proper execution and avoid potential errors.

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The notation used for a vector pointing into the point is X.

A quantity with a magnitude and direction is called a vector. A vector quantity will be identified in these annotations by a bold letter (such as the electric field vector E). Vectors appear graphically as straight arrows. The magnitude of the vector is commonly represented by the length of the arrow, and both the arrow and the vector point in the same general direction.

Arrows are drawn on the page to represent vectors in the page's plane. Typically, circles with an X engraved on them are used to represent vectors that enter the screen's plane. A vector that deviates from the screen's plane is often represented by circles with dots in the center.

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The set of all strings accepted by M is an infinite decidable subset of L.

Every infinite Turing-recognizable language has an infinite decidable subset.

Let's prove this theorem.

We must know the properties of the Turing recognizable language before the proof. A language is considered Turing recognizable if a Turing machine M accepts all strings in the language, and either rejects or loops forever on all strings not in the language. We can define that any language is infinite if it contains infinite strings.

Similarly, the set of all strings in the language is infinite if the language is infinite.

Let us suppose that L is an infinite Turing-recognizable language over the alphabet Σ. It implies that there exists a Turing machine M that accepts all the strings in L. We need to consider the following facts to prove that every infinite Turing-recognizable language has an infinite decidable subset:

If a Turing machine accepts an infinite number of strings in a language L, then it accepts at least one infinite subset of the language.

Suppose that a Turing machine accepts a language L, then the set of all strings accepted by the Turing machine is decidable.

Now, let's construct a new Turing machine M′ that works in the following manner:

In the first step, M' simulates M on the input w.

In this step, M' generates the strings of Σ* in some order.

In this step, for each string generated in step 2, M' runs M on that string. If M accepts that string, then M' outputs the string.

Suppose that there are only finite strings of L that are accepted by M. It implies that M has an infinite loop on all other strings not in L.

since M′ generates the strings of Σ* in some order, M′ will eventually simulate M on the string w for which M has an infinite loop.

Therefore, M′ will be in an infinite loop and will never halt.

So, the set of all strings accepted by M is infinite. We can say that the set of all strings accepted by M is an infinite decidable subset of L.

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The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

You can solve this equation by converting to standard form and using the formula for roots of quadratic equation.

The solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

The standard form of quadratic equation is given by:

\(ax^2 + bx + c =0\)

The roots of this equation is obtained by:

\(x =\dfrac{-b \pm \sqrt{b^2 -4ac }}{2a}\)

We can take square on both sides to remove the root.

\(\sqrt{x+10} -1 =x\\ \sqrt{x+10} = x + 1\\ \\ \text{Taking square on both sides}\\ \\ x + 10 = (x + 1)^2\\ x + 10 = x^2 + 1 + 2x\\ x^2 + x - 9 = 0\\ \)

Know that we took square.

Also know that \((\sqrt{x+10})^2 = (-\sqrt{x+10})^2 = x+10\\ \) This is the reason that both roots we will obtain won't belong to our quadratic equation we obtained. Thus, we will have to check which root is correct solution of the obtained quadratic equation.

Now, comparing with standard form, we get a = 1, b = 1, c = -9, thus:
\(x = \dfrac{-1 \pm \sqrt{1 + 36}}{2} = \dfrac{-1\pm\sqrt{37}}{2}\)

x = 2.54 or x = -3.54

Putting both values, we get:

For x  =2.54:

\(\sqrt{x+10} -1 =x\\ \sqrt{2.54+10}-1 = 2.54\\ 2.5411 \approx 2.54\)

For x = -3.54

\(\sqrt{x+10} -1 =x\\\sqrt{-3.54+10}-1 = -3.54\\1.5411 \neq -3.54\)

Thus, the solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

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The value of x is 5.

According to the given question.

We have

rs = 2x + 1

And,

st = 3x - 2

Also rt = 24

Here,

rt = rs + st

So, substitute the values of rs, rt and st in the above equation.

⇒ 24 = (2x + 1) + ( 3x - 2)

⇒ 24 = 2x + 1 + 3x -2

⇒ 24 = 5x -1

⇒ 5x = 25

⇒ x = 25/5

⇒ x = 5

Hence, the value of x is 5.

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By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

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Answer:

√3/2 is the correct answer. I hope this helps ^^

Step-by-step explanation:

The location of the central maximum stays the same, but the distance between fringes increases .Therefore the correct answer is 'B'

When a thin piece of transparent material with a refractive index of 1.45 is placed over the slit, the wavelength of the light within the material changes, as the speed of light decreases in the material. This causes the angle of diffraction to change, leading to an increase in the distance between fringes. However, the central maximum remains at the same location because the light still passes straight through the slit without any change in its direction.

Electromagnetic radiation having a single, fixed frequency is referred to as monochromatic radiation. The term monochromatic light is frequently used when the frequency is close or inside the visible range. The human eye interprets monochromatic light as a spectrum colour.

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The equal class prior probabilities, gaussian classes with unique means, and a common covariance matrix that isn't always diagonal. The particular choice for ∑ where d is 2 is µ\(_{2}\)-µ\(_{1}\).

A Gaussian function in mathematics is a function with the base form and parametric extension for all real constants a, b, and c that are not zero. This function is frequently referred to as a Gaussian. It bears the name of the mathematician Carl Friedrich Gauss. A Gaussian's graph has the recognizable symmetric "bell curve" shape. The parameters a and b determine the height and location of the curve's peak, respectively, while the parameter c, also known as the standard deviation or Gaussian RMS width, determines the width of the "bell." Gaussian functions are frequently used in statistics to characterize the normal distributions, in signal processing to build Gaussian filters, and in image processing where two-dimensional Gaussians are utilized for Gaussian blurring.

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The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

Given, ∠STU = \((\frac {1}{4} x+8)\)°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

\((\frac {1}{4} x+8)\)° = x+2°

Calculating,

\(\frac{1}{4}x-x\) = 2-8

\(-\frac{3}{4}x\) = -6

x = \(-6*(-\frac{4}{3})\)

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  \((\frac {1}{4} x+8)\)° +( x+2°)

          =  \((\frac {5}{4} x+10)\)

Now, substitute the value of x,

∠STU =  \((\frac {5}{4} )*8\)°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

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Answer:

Can you give options because we unable to answer

The value of angle ∠XZY will be 62°.

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given two triangles, XZW and YZW

∠WXZ ≅ ∠WYZ,

XW = YW

WZ is a common line,

Thus from the SAS property of congruency,

ΔXZW and ΔYZW are congruent.

So,

∠XZW = ∠YZW

8x - 1  = 5x + 11

3x = 12

x = 4

Therefore, the value of x will be 4 for the given Problem.

Since,

∠XZY =  ∠XZW + ∠YZW

∠XZY = 8x - 1 + 5x +11

∠XZY = 13x +10

∠XZY = 13*4 +10

∠XZY = 52 +10

∠XZY = 62

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The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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Answer:

x>3

Step-by-step explanation:

basically just divide that 4 joint to 12 which is 3

The probability that the sample proportion will be within 0.04 of the population proportion, based on a larger sample of 400 complaints, is 0.9543.

In order to determine the probability, we can make use of the Central Limit Theorem. The Central Limit Theorem states that for a large enough sample size, the distribution of sample proportions will approach a normal distribution, regardless of the shape of the population distribution.

The standard error of the sample proportion can be calculated using the formula:

standard error = sqrt((p * (1 - p)) / n),

where p is the population proportion and n is the sample size.

Given that we have a larger sample size of 400 complaints, we can assume that the sample is sufficiently large for the Central Limit Theorem to apply. Assuming a population proportion of p, the probability that the sample proportion will be within 0.04 of the population proportion can be calculated by finding the area under the normal distribution curve between p - 0.04 and p + 0.04.

Using a standard normal distribution table or a statistical software, we can find that the area under the curve between -0.04 and 0.04 is approximately 0.9543. Therefore, the probability that the sample proportion will be within 0.04 of the population proportion is 0.9543, or 95.43%.

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The percentage of IQ scores greater than 64 is 100% - 1.06% = 98.94%.

We need to use the standard normal distribution and the standard score (z-score) formula to convert IQ scores to standard normal values in order to find the percentage of IQ scores greater than 64.

The standard scoring formula is as follows:

z = (x - μ) / σ

where x is the IQ score, is the IQ distribution's mean (98), and is the IQ distribution's standard deviation (17).

So, for an IQ of 64, the standard score is:

z = (64 - 98) / 17 = -2.35

With the standard score in hand, we can use a standard normal table or a z-score calculator to calculate the percentage of IQ scores greater than 64. A z-score of -2.35 indicates a probability of 0.0106. This means that 1.06% of IQ scores less than or equal to 64.

Therefore, the percentage of IQ scores greater than 64 is 100% - 1.06% = 98.94%.

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