The circumference of a circle is 94.2 kilometers. What is the circle's diameter?

Answer:

It's B

Step-by-step explanation:

Answer:

6x+12

Step-by-step explanation:

Answer:

  ±1.007%

Step-by-step explanation:

You want the relative error in the computed value of 1/P -1/Q when P=1.80 and Q=2.91.

Each of P and Q is specified to the hundredths place, so the errors in each of P and Q will be half of a hundredth, or 0.005. The maximum value of P or Q will be 0.005 more than the given value, and the minimum will be 0.005 less.

The maximum and minimum of the computation will be had when P and Q are at their opposite extremes: one is a maximum when the other is a minimum.

Max difference = 1/1.795 -1/2.915 ≈ 0.21404

Min difference = 1/1.805 -1/2.905 ≈ 0.20978

The relative error in the computed value can be found a couple of ways. One is to compare the maximum and minimum computed values with the nominal computed value.

Here, we choose to compare half the difference in the computed values to the average of the computed values. That way, we can describe the error as symmetrical about that average;

  ((0.21404 -0.20978)/2) / ((0.21404 +0.20978)/2) = relative error

  = (0.21404 -0.20978) / (0.21404 +0.20978) ≈ 0.01007

The relative error is about ±1.007%.

__

Additional comment

Another way to compute the error is by looking at the derivatives. The relative error found that way is ...

  RE = -∆P(Q/P(Q -P)) +∆Q(P/Q(Q -P))

where ∆P and ∆Q are ±0.005.

The maximum relative error found this way is about ±1.00686% compared to the ±1.00685% computed above.

If you compare the possible error to the nominal value, it is not symmetrical: -1.00532% to 1.00841%.

Looking at the above expression for RE, you see that the multiplier of the relative error in P is Q/(Q-P), while the multiplier of the relative error in Q is P/(Q-P). That is, errors in P have a much larger effect than errors in Q.

The cost of the rebate will be $20 million. Therefore, option B is correct.

To calculate  the cost of the rebate:

Given information:

  - Current price of the minivan: $31,000

  - Price after the rebate: $30,000

  - Current sales: 25,000 vehicles

  - Estimated sales after the rebate: 29,000 vehicles

  - Profit margin per vehicle: $5,000

Increase in sales = Estimated sales after rebate - Current sales

= 29,000 vehicles - 25,000 vehicles

= 4,000 vehicles

Cost of the rebate = Increase in sales * Profit margin per vehicle

= 4,000 vehicles * $5,000 per vehicle

= $20,000,000

Therefore, the cost of the rebate will be $20 million. This means that Honda would need to spend $20 million to provide the $1,000 rebate on each of the 4,000 additional vehicles sold.

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The complete question is:

Honda Motor Company is considering offering a $1,000 rebate on its minivan, lowering the vehicle's price from $31,000 to $30,000. The marketing group estimates that this rebate will increase sales over the next year from 25,000 to 29,000 vehicles.Suppose Honda's profit margin with the rebate is $5,000 per vehicles. What will be the cost of the rebate? A $4 million B. $20 million C $25 million D. $29 million

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

\((sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25\)

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

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Answer:

the 24th day they'll be there

Step-by-step explanation:

4 8 12 16 20 24

6 12 18 24

False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.

The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.

Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.

The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.

By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.

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The required value of x for this polygon is - 90.

We know that,

Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.

The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result.

A triangle with three sides is an example of a polygon. A circle is a plane figure, however it is not regarded a polygon because it is curved and lacks sides and angles.

As a result, we can argue that all polygons are 2d shapes, but not all two-dimensional figures are polygons.

Since,

Sum of interior angles of polygons = 360 degree

Therefore,

130 + x + 20 + 120 + 140 + x - 20 + 150 + x = 360

                                                                2x = 360 - 540

                                                                   x = -180/2

                                                                   x = -90

Thus,

The value of x = - 90

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Answer:

A, 12 times the square root of 3

Step-by-step explanation:

24 sqaured plus 12 squared=432

square root of 432=20.9

12 times the sqaure root of 3=20.9

Answer:

A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes uses and c represents the total charges at the end of the month, Option C = 60 + 0.05d is the linear equation that can be used to determine a user's monthly bill.

Step-by-step explanation:

hope this help ;)

The given statement "Adding together all the residuals from a regression plot will always sum to 0" is False. A residual is defined as the difference between the observed value and the predicted value for each data point in a regression plot. The sum of residuals is not always equal to 0.

In a linear regression plot, the predicted values for each data point are calculated using the line of best fit. The residual for each data point is calculated as the difference between the observed value and the predicted value. The residuals are a measure of how well the line of best fit predicts the observed data. Ideally, the residuals should be randomly distributed around 0.

The sum of the residuals will be 0 only if the line of best fit perfectly predicts the observed data. However, this is not always the case. In fact, a good regression plot will have some residuals that are positive and some that are negative, resulting in a sum that is not equal to 0. This is because the line of best fit is only an estimate of the relationship between the variables being studied and will never perfectly predict the observed data.

Therefore, the statement "Adding together all the residuals from a regression plot will always sum to 0" is False. The sum of residuals may be close to 0 in some cases, but it will not always be exactly equal to 0.

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Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Answer:

y^1/2/xz^2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x^2 + 4x + 2 = 0; a=1, b=4, c=2

D= b^2 - 4ac = 16 - 8 = 8>0

-> x1/2= (-b +/- √D)÷2×a= (-4 +/- √8)÷2= 2(-2 +/- √2)÷2

= -2 +/- √2

×1=-2+ √2 ≈ -0.59

×2=-2- √2 ≈ -3.41

therefore, b)

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

Answer:

f(-3)= -48 g(6)= -8

Step-by-step explanation:

the the numbers into the corresponding functions and simplfy following the order of operations which would look like this:

f(-3)=2(-3)^3 + 6

=2(-27)+6

=-54+6

f(-3)=-48

and

g(6)= -2(6)+4

= -12+4

g(6)= -8

Hope this helps! :)

Answer:

Add 1 unit to the X coordinates and Y coordinates for each new pair.

step-by-step explanation:

X: 10 + 1 = 11 + 1 = 12

Y: 20 + 1 = 21 + 1 = 22

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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the solutions to the quadratic equation 2 + 9x - 5 = 0 are x = 1/2 and x = -5

A quadratic equation is a second-degree polynomial equation in one variable. It can be written in the form a + bx + c = 0, where a, b, and c are constants and x is the variable.

Apply the Zero Product Property.

(2x - 1)(x + 5) = 0

Solve.

Setting each factor to zero and solving for x, we get:

2x - 1 = 0, x + 5 = 0

2x = 1, x = -5

x = 1/2, x = -5

Therefore, the solutions to the quadratic equation 2 + 9x - 5 = 0 are x = 1/2 and x = -5

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when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).

Reflect a point

A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.

coordinates

it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

image of point

The  image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.

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Answer:

Each person paid $37.15.

Step-by-step explanation:

First, you would add up $160.75 + $25.00, which is $185.75. Then, since there are five people, you would divide 185.75 by 5, which gets you to $37.15 :)

Answer:

$2,860

Step-by-step explanation:

2,500 * 3.8% = 90 in interest a year

so

90 * 4 = 360 in interest

add that to what she put in

2,860

Answer:

2880

Step-by-step explanation:

2,500divide100=25x3.8=380

2500+380

The value of f(5) for the given function f(x) = 8x^3 - 1^3 is 999.

In mathematics, a function is a rule that assigns a unique output value to each input value in a given set. In other words, it is a relation between two sets, where each element in the first set is associated with a unique element in the second set.

The input values are often referred to as the domain of the function, while the output values are referred to as the range of the function.

Functions ar

Given function, f(x) = 8x^3 - 1^3

Substituting x=5, we get f(5) = 8(5^3) - 1^3

Solving the above expression, we get f(5) = 8(125) - 1

f(5) = 1000 - 1

f(5) = 999

Hence, the value of f(5) for the given function is 999.

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Answer:

this is the way we calculate it ♡♡♡

Absolute represented by |x| where x is a number means making the numer positive irrespective of its formal state

1) |-2|<|1|

2< 1

The above statement is false

2) |1|<|0|

1<0

The above statement is also false

3) |-1|<|-2|

1<2

The above statement is true

4) |1| > |-2|

1 > 2

The above statement is false too

Answer:

depth = 6th + 2(number of years)

The required missing length of the triangle is given by 8x.

Given that,
The perimeter of the triangle angular Park shown is 13 X -2 what should be the missing length to be determined?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The perimeter of  any figure is the sum of the sides,
here the perimeter if the triangle is the sum of its threeside,

and let the missing length be y

13x - 2  = 3x - 5 + 2x + 2 + y
13x - 2 = 5x - 2 + y
y = 13x - 5x -2 + 2
y =  8x

Thus, the required missing length of the triangle is given by 8x.

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Answer:

Step-by-step explanation:

90/100 * x = 15750

0.9 x = 15750

x = 15750/0.9

x = 17500

Now check this by taking 10% off. Do you get 15750?

Let's see

10/100 of 17500 = 1750

Subtract that from 17500

17500 - 1750 = 15750 which is exactly what you should get.