What is the circumference of a circle whose radius measures 9 inches?

Answer:

13

Step-by-step explanation:

7 x 2=14

40-14=26

26/2=13

Answer:

40 - 14 = 26

26/2 = 13

The width is 13

Answer: We have to find the sin(theta) provided the cos(theta) function, the visualization of the problem is as follows:

The diagram visualization is:

Therefore the x is:

Therefore the answer is:

The answer is Option(C).

The factorized expressions is 3(x-4)(x-5).

We are given that;

The expression 3x² - 27x+60​

Now,

1.1.1 After simplification

-3(2x - 4y)² = -12(x-y)²

1.1.2 x+2/3*5x+1

= (3x+5)/(3x+3)

1.2.1 ny + 4z + 4y + nz

= (n+4)(y+z)

1.2.2 3x² - 27x+60

= 3(x-4)(x-5)

Therefore, by the expression the answer will be 3(x-4)(x-5).

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Exponential smoothing is a forecasting method in statistics. It is appropriate for situations in which the future values of a time series are influenced by past values in a decreasing exponential manner. There are numerous instances where exponential smoothing can be utilized.

A couple of them are: Example 1: A company manufactures a product whose demand varies throughout the year. The organization utilizes exponential smoothing to forecast the demand of the product for the following month. The organization collects data on the sales made in the past months. The collected data aids in predicting the sales of the product. As the method weighs the most recent data more than the older data, the most recent trend is considered in making predictions.

Exponential smoothing is, therefore, the perfect method for forecasting the demand for such a product. Example 2: The Centers for Disease Control and Prevention (CDC) utilized exponential smoothing to forecast the transmission of COVID-19. The CDC utilized an exponential smoothing approach to examine the trends of COVID-19 cases in the past. Exponential smoothing was effective in predicting the trajectory of the virus' spread as it gave more importance to the more recent data when making forecasts. Hence, exponential smoothing was the ideal forecasting method in this scenario.

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Answer:

B

Step-by-step explanation:

When you insert

\( \sqrt{15} \)

into you calculator you will get : 3.8729833....

and point B is located around that value.

Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

Answer:

x - 12

Step-by-step explanation:

"twelve" - number

"less than" - switches the entire expression

"a variable" - a unknown number shown as a letter. can be x.

Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.

12 - x will turn into:

x - 12

Hope this helped.

Answer:

x-12

Step-by-step explanation:

Let the variable be x

12 less than x

x-12

Answer:

Step-by-step explanation:

Linear Function

a. The sample proportion is calculated by dividing the number of voters in favor of the school bond measure (281) by the total number of voters in the sample (1000). Therefore, the sample proportion is 0.281.

b. The margin of error for a 90% confidence level can be calculated using the formula: margin of error = 1.645 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.645 x sqrt[(0.281 x 0.719) / 1000] = 0.028.
c. The margin of error for a 95% confidence level can be calculated using the same formula: margin of error = 1.96 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.96 x sqrt[(0.281 x 0.719) / 1000] = 0.032.
d. The 95% confidence interval can be calculated using the formula: sample proportion +/- (margin of error x z-score), where the z-score for a 95% confidence level is 1.96. Plugging in the values, we get: 0.281 +/- (0.032 x 1.96) = [0.219, 0.343]. Therefore, the 95% confidence interval is [0.219, 0.343].

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Answer:

y = \(\frac{2}{5}\) x + \(\frac{18}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-2}{6-(-4)}\) = \(\frac{4}{6+4}\) = \(\frac{4}{10}\) = \(\frac{2}{5}\) , then

y = \(\frac{2}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 )

6 = \(\frac{2}{5}\) (6) + c = \(\frac{12}{5}\) + c ( subtract \(\frac{12}{5}\) from both sides )

6 - \(\frac{12}{5}\) = c , then

c = \(\frac{18}{5}\)

y = \(\frac{2}{5}\) x + \(\frac{18}{5}\) ← equation of line

Answer:

0.60

Step-by-step explanation:

becouse of two probability within added gives the above answer

Answer:

the answer is 8

Step-by-step explanation:

subtract 11
67 - 11 = 56

Divide 7 to find the answer

56/7 = 8

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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To find f(g(x)), we need to first evaluate g(x) and then substitute the result in f(x). Therefore, we have: f(g(x)) = f(x + 6) = -5(x + 6) = -5x - 30.

To find g(f(x)), we need to first evaluate f(x) and then substitute the result in g(x). Therefore, we have:

g(f(x)) = g(-5x) = -5x + 6

To find f(f(x)), we need to substitute f(x) into the expression for f(x). Therefore, we have:

f(f(x)) = f(-5x) = -5(-5x) = 25x

Therefore, the answers are:

a. f(g(x)) = -5x - 30

b. g(f(x)) = -5x + 6

c. f(f(x)) = 25x

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Answer:

Michael has 19 sweets

Step-by-step explanation:

19+24+32 = 75

Lilly has: 24

James has: 32

Answer:

78 ft squared

Step-by-step explanation:

To find the area of trapezoid, we could use this formula:

.5*height*(sum of bases)

We know both the base lengths. They are 10 and 16 ft.

The height can be found by looking at that right triangle whose base is (16-10) ft or 6 ft.

So we want to find the height which is opposite the 45 degree angle and we have the adjacent side's measurement of 6ft.

This has the tangent ratio written all over it since tangent of an angle is opposite side's measurement over adjacent side's measurement.

tan(45)=height/6

1=height/6

6=height

6ft=height

The answer is:

.5*height*(sum of bases)

.5*6 ft*(10 ft+16 ft)

3 ft(26 ft)

78 ft squared

Note: That one right triangle is an isosceles right triangle so we didn't need trigonometry.

The weighted average of the numbers 1 and 6 is 2

A weighted average is the average of a set of numbers, each with different associated “weights” or values. To find a weighted average, multiply each number by its weight, then add the results.

Given that, the weighted average of 1 and 6 in this instance, means the sum of the two numbers multiplied by their weights which are four-fifths and one-fourth respectively.

Weighted average = (first number x weight of first number)+(second number x weight of second number)

first number = 1

weight of first number = four fifths = 4/5

second number = 6

weight of second number = one fifth = 1/5

Therefore,

The weighted average = (1 x 4/5) + (6 x 1/5)

= 2

Hence, the weighted average of the numbers 1 and 6 is 2

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Errors -in -variables bias represents the option c. arises from error in the measurement of the independent variable.

In a regression model Errors -in -variables bias is not only a problem in small samples.

It can affect large samples as well.

This can lead to biased estimates of the regression coefficients.

This can lead to biased and inconsistent estimates of the regression coefficients and standard errors.

Even if the error in the dependent variable is zero-mean.

Even if the measurement error in the dependent variable is negligible.

The problem is not limited to small samples.

And can be particularly severe when the measurement error in the independent variable is large.

Therefore, the errors -in - variables bias arises from the option c. arises from error in the measurement of the independent variable.

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a) The graph originates at the origin( 0, 0) and spirals in exterior as θ increases. b) The graph have two loops centered at the origin. c) The graph is a cardioid. d) The  graph has bigger loop at origin and the innner loop inside it.. e) The graph is helical that starts at the point( 1, 0) and moves in inward direction towards the origin.

a) The function with polar equals is given by dy = θ/( 4π) with 0< θ< 4.

We've to find the crossroad points with θ = 0 and θ = π/ 2,

When θ = 0

dy = 0/( 4π) = 0

therefore, when θ = 0, the function intersects the origin( 0, 0).

Now, θ = π/ 2

dy = ( π/ 2)/( 4π) = 1/( 8)

thus, when θ = π/ 2, the polar function intersects the y- axis at( 0,1/8).

b) The polar function is given by r = sin( 2θ).

We've to find the corners with θ = 0 and θ = π/ 2,

When θ = 0

r = sin( 2 * 0) = sin( 0) = 0

thus, when θ = 0, the polar function intersects the origin( 0, 0).

Now, θ = π/ 2

r = sin( 2 *( π/ 2)) = sin( π) = 0

thus, when θ = π/ 2, the polar function also intersects the origin( 0, 0).

c) The polar function is given by r = 1 cos( θ).

To find the corners with θ = 0 and θ = π/ 2,

At θ = 0

r = 1 cos( 0) = 1 1 = 2

thus, when θ = 0, the polar function intersects thex-axis at( 2, 0).

At θ = π/ 2

r = 1 cos( π/ 2) = 1 0 = 1

thus, when θ = π/ 2, the polar function intersects the circle centered at( 0, 0) with compass 1 at( 1, π/ 2).

d) The polar function is given by r = 1- cos( 2θ).

To find the corners with θ = 0 and θ = π/ 2

At θ = 0

r = 1- cos( 2 * 0) = 1- cos( 0) = 0

thus, when θ = 0, the polar function intersects the origin( 0, 0).

At θ = π/ 2

r = 1- cos( 2 *( π/ 2)) = 1- cos( π) = 2

therefore, when θ = π/ 2, the polar function intersects the loop centered at( 0, 0) with compass 2 at( 2, π/ 2).

e) The polar function is given by r = 1- 2sin( θ).

To find the point of intersection with θ = 0 and θ = π/ 2,

When θ = 0

r = 1- 2sin( 0) = 1- 2( 0) = 1

thus, when θ = 0, the polar function intersects the circle centered at( 0, 0) with compass 1 at( 1, 0).

When θ = π/ 2

r = 1- 2sin( π/ 2) = 1- 2( 1) = -1

thus, when θ = π/ 2, the polar function intersects the negative y-axis at( 0,-1).

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The correct question is given below-

Sketch graphs of the following polar functions. Give the coordinates of intersections with theta = 0 and theta = π/2. a.dy = theta/4pi. with 0 < 0 < 4. b.r =sin(2theta) c.r=1+costheta d) r = 1- cos(2theta) e) r = 1- 2 sin(theta)

The statement is true. A network's physical topology refers to the arrangement of devices and cables that determine how signals travel electronically.

The physical topology of a network describes the physical arrangement of devices, cables, and other components that make up the network infrastructure. It defines how these elements are connected and how signals flow between them. The physical topology is concerned with the actual layout and structure of the network.

There are different types of physical topologies, including bus, star, ring, mesh, and hybrid topologies. In a bus topology, devices are connected to a central cable, and signals travel along the cable to reach their destination. In a star topology, devices are connected to a central hub or switch, and signals are transmitted from the source device to the hub/switch, which then distributes the signal to the destination device. A ring topology connects devices in a circular manner, where signals travel in one direction around the ring.

The physical topology determines factors such as signal propagation, fault tolerance, scalability, and network performance. It plays a crucial role in determining how efficiently and effectively signals travel electronically within a network. Therefore, the statement that a network's physical topology describes how signals travel electronically is true.

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The final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

For the stated question-

Let initial enrollment = 100.

After one decade, the enrollment added 30% of the initial.

Thus,

= 100 + 30% of 100

= 100 + 130

= 130

Thus, the final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

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Answer:

multiply by 3 and divide by 2

Step-by-step explanation:

10 * 3/2

We multiply by 3 and divide by 2

===============================================

Explanation:

To go from term to term, we are multiplying by 2

-7 * 2 = -14

-14 * 2 = -28

-28 * 2 = -56

This means the common ratio is 2 and this sequence is geometric.

---------

Alternatively, you can divide each term by its prior term

-56/(-28) = 2

-28/(-14) = 2

-14/(-7) = 2

Each time we get the same result showing the common ratio is 2.

Answer:

Geometric

Step-by-step explanation:

It multiplies by two each time

Answer:

  see attachments

Step-by-step explanation:

You want to know when two cars will meet if they start 350 miles apart and travel toward each other at 30 mph and 40 mph.

There are several ways you can draw a diagram of the cars and their relationship. One might show the cars a distance apart labeled 350 miles, with an arrow at each car pointing toward the other with its speed marked: 30 mph or 40 mph.

In the first attachment, we have elected to draw a graph showing how the distance between the cars and their opposite starting location varies with time. That is, one car starts 350 miles away and decreases its distance by 30 mph. The other increases its distance from its starting point by 40 mph. The cars will meet when the remaining distance for the first car is the same as the distance traveled for the second car.

The graph shows that is after 5 hours, when the second car is 200 miles from its starting location.

The table seems to ask for the number of miles traveled in terms of speed and time. That quantity is the product of the speed and time.

The equation expresses that the sum of the two distances traveled is equal to the starting separation distance: 70t = 350. Dividing by 70 gives the solution: t = 5.

The statistic that can be used to objectively quantify the level of agreement between different screeners appraising an article in a systematic review is the inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa.

In a systematic review, multiple screeners may independently appraise articles to ensure consistency and minimize bias. The inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa, is used to measure the agreement between these screeners. These statistics provide a quantitative measure of the extent to which the screeners' assessments align with each other beyond what would be expected by chance. Higher values of the inter-rater reliability coefficient indicate greater agreement among the screeners, suggesting more reliable and consistent evaluations of the articles in the systematic review.

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The linear speed of the smaller Ferris wheel is 40.8 meters per minute.  The linear speed of larger Ferris wheel is 71.4 meters per minute.

When a body rotates, each point on it moves in a circle. The point on the circumference of the Ferris wheel travels the farthest distance in a single rotation compared to other points. Hence, the linear velocity of a point on the circumference is directly proportional to its distance from the center.

The angular speed of both Ferris wheels is the same i.e., 3 rotations per minute. The smaller Ferris wheel has a radius of 8 meters and the larger has a radius of 14 meters.

To find the linear speed of the Ferris wheel, we use the formula v = rω.

Linear velocity of the smaller Ferris wheel:

(8 m)(3 rotations/min) = 24π m/min ≈ 40.8 m/min.

Linear velocity of the larger Ferris wheel:

(14 m)(3 rotations/min) = 42π m/min ≈ 71.4 m/min.

The larger Ferris wheel would feel 30.6 m/min ≈ 0.5 m/s faster than the smaller Ferris wheel.

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Both Isaac and Micah are using a compass and straightedge for their constructions.

The differences between their construction steps are:

Isaac is constructing congruent segments, which means he is dividing the original line segment into equal parts, while Micah is constructing a segment bisector, which means he is dividing the line segment into two equal parts and finding the midpoint.

Isaac only needs to mark one point on the line segment with his compass to get two congruent segments, while Micah needs to mark two points and then find the midpoint between them.

The final results of their constructions are different: Isaac will have two congruent line segments, while Micah will have one line segment bisector that splits the original line segment in half.

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The third quartile, also known as the 75th percentile, represents the value below which 75% of the data falls. In a normal distribution with a mean (µ) of 60 and a standard deviation (σ) of 8, we can use the properties of the standard normal distribution to find the X value that corresponds to the third quartile.

First, we need to convert the X value to a z-score using the formula: z = (X - µ) / σ. Since we want the third quartile, we know that the area to the left of the z-score is 0.75.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to an area of 0.75. In this case, the z-score is approximately 0.674.

Next, we can use the z-score formula to find the X value: X = µ + (z * σ). Substituting the values, we get: X = 60 + (0.674 * 8) = 65.392.

Therefore, the X value that corresponds to the third quartile in this population is approximately 65.392.

In summary, to find the X value that corresponds to the third quartile in a normal distribution with a mean of 60 and a standard deviation of 8, we use the z-score formula to convert the percentile to a z-score and then convert it back to an X value using the mean and standard deviation. The result is approximately 65.392.

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