An end behavior model for f(x) = (shown in attachment) is g(x) =​

The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .

What is trignomentry ?

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study the properties of triangles and to solve problems involving angles and distances in two-dimensional space.

sin(π/6)cos(π/2) - cos(π/60)sin(π/2)

The first term in the expression, sin(π/6)cos(π/2), can be simplified as follows ,

sin(π/6) = √(3)/2, cos(π/2) = 0

so sin(π/6)cos(π/2) = (√(3)/2) * 0 = 0

The second term in the expression, -cos(π/60)sin(π/2) , can be simplified as follows ,

sin(π/2) = 1, cos(π/60) = sqrt(3)/2 - 1/2

so -cos(π/60)sin(π/2) = -(sqrt(3)/2 - 1/2) * 1 = -sqrt(3)/2 + 1/2

Now we can substitute the simplified values back into the original expression ,

0 - (-sqrt(3)/2 + 1/2)

and combining like terms, \(\frac{1-\sqrt{3} }{2}\),

Hence ,  The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .

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The perimeter of the triangle is inches 5x+12.

The perimeter is the distance around a shape's edge.

The distance encircling a shape's boundary is its perimeter.

The sides of the triangles are 4x+1, x+4 and 7 inches.

To find the perimeter of the triangle:

The formula for the perimeter of a triangle is the sum of the length of all the sides of a triangle.

That means,

the perimeter of the triangle = (4x+1) + (x+4) + 7

The perimeter of the triangle = 5x+ 12

Therefore, 5x+12 is the perimeter of the triangle is 5x+ 12.

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A function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.

To find a function, C(x), to model the water used by the car wash on a shorter day:

Given information -

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find:

Therefore, a function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.

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The correct question is given below:

The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.

Write a function, C(x), to model the water used by the car wash on a shorter day

The total quantity produced when p = 5 is 26 in the long run.

In the short run, each firm will produce where its marginal cost equals the market price, which we'll denote as p.

So, for Type A firms, the short-run supply curve is:

q4(p) = (p-2)/2

And for Type B firms, the short-run supply curve is:

qB(p) = (p-2)/6

The short-run market supply is simply the sum of the quantities supplied by each type of firm at a given price level. So, if there are 10 Type A firms and 6 Type B firms, the short-run market supply at a price level of p is:

Qs(p) = 10q4(p) + 6qB(p)

= 10(p-2)/2 + 6(p-2)/6

= 8p - 20

The total quantity produced when p=5, we can substitute p=5 into the market supply equation we just derived:

Qs(5) = 8(5) - 20

= 20

So, the total quantity produced when p=5 is 20.

The long run, firms can enter or exit the market, and as a result, the number of firms in each market may change.

In this case, we'll assume that the number of Type A and Type B firms can adjust freely in the long run, and that each firm earns zero economic profit in the long run.

If there are zero economic profits, each firm's total revenue (TR) must equal its total cost (TC), which means that price must equal average total cost (ATC).

For Type A firms, ATC4(q) = TC4(q)/q = 1/q + 2 + q, so:

5 = 1/q + 2 + q

Rearranging and solving for q, we get:

q4 = 2

So each Type A firm will produce 2 units of output in the long run.

For Type B firms, ATCB(q) = TCB(q)/q = 6/q + 2 + 3q, so:

5 = 6/q + 2 + 3q

Rearranging and solving for q, we get:

qB = 1

So each Type B firm will produce 1 unit of output in the long run.

If there are 10 Type A firms and 6 Type B firms, the total quantity produced in the long run when p=5 is:

Qlr = 10q4 + 6qB

= 10(2) + 6(1)

= 26

So, the total quantity produced when p = 5 is 26 in the long run.

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Answer:

1:4

Step-by-step explanation:

No of girls :3

No. Of boys:12

Hence 3:12

1:4

Answer:

y=1/4x-2

Step-by-step explanation:

the first y axis number it touches is -2 and the slope is 1/4.

The equation representing the line on the given graph is :

180+72=252

Step-by-step explanation:

an angel can be a large or as wide up to 360 then it is a circle

from the center out one way is 180

the same from the center the other way is 180

Answer:

D. A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Step-by-step explanation:

A reflection over the x-axis, 90° clockwise rotation around the origin, and a translation down 1 unit would map shape 1 onto shape 2.

8) True: A "sampling error" refers to an error or mistake made in gathering sample data. 9)  False: The sampling error refers to the discrepancy or difference between the sample statistic and the population parameter. 10) The statement is false  11) Sampling correctly and having a large enough sample size does not guarantee that the true proportion will be within a specific range of the sample standard deviation

Question 8: True

A "sampling error" refers to an error or mistake made in gathering sample data. It can occur due to various factors such as sampling method, sample size, or data collection process.

Question 9: False

The sampling error refers to the discrepancy or difference between the sample statistic and the population parameter. It is not related to the "model" in this context.

Question 10: False

The statement is unclear and contains errors. It does not convey a meaningful question.

Question 11: False

Sampling correctly and having a large enough sample size does not guarantee that the true proportion will be within a specific range of the sample standard deviation. The range of the true proportion depends on various factors, including the variability of the population and the sampling method used.

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True, this is known as the Central Limit Theorem.

True,  it can occur if the sample is not selected randomly

False, internet error in the "model."

Question 7: True. If you take many samples from a population, the distribution of the samples will tend to be normally distributed around the mean of the true population. This is known as the Central Limit Theorem.

Question 8: True. Sampling error refers to the error or discrepancy between the characteristics of a sample and the characteristics of the population it represents. It can occur if the sample is not selected randomly or if there are biases in the sampling process.

Question 9: False. The sampling error refers to the difference between the sample estimate and the true population value, not an internet error in the "model."

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Answer:

V≈523.6in³

d Diameter

Step-by-step explanation:

so its b

Answer:

-24

Step-by-step explanation:

4(x+2−5x)

Combine like terms

4(2 -4x)

Distribute

8 -16x

Let x=2

8 - 16(2)

8 - 32

-24

how to evaluate 4(x+2−5x) when x=2

4(x + 2 - 5x)

Putting the value of x we get

4(2 + 2 - 5 × 2)

According to BODMAS multiplication comes first then addition

So 5 × 2 will be solved after that we will simplify 2 added with 2

4(2 + 2 - 10)

4(4 - 10)

4(-6)

- 24

Henceforth, the required answer is -24

Answer:

use symbolab

Step-by-step explanation:

Answer:

-3x+y=-23

Step-by-step explanation:

i just took the test on k-12 and this was the correct answer

Answer:

$1.40/ hour

Step-by-step explanation:

The rate of the deductions is

Full amount minus new amount.  This is the amount taken per hour

$6.50/ hour -$5.2/hour = rate

$1.40/ hour

Answer:

2.75 all ready rounded

Step-by-step explanation:

for the mean all you have to do is add up all the numbers, then divide by how many numbers there are. when u add them all up it is 33, then u divide by 12, and get 2.75

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

The area of the rectangular floor is 342 inches.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Length of the rectangular floor of a classroom = 36 feet

Width of the rectangular floor of a classroom = 38 feet

Length of the floor in a scale drawing = 18inches

36/18=2 feet

Which means, 1 inch is equal to :

Thus, 1 inch in the drawing is equivalent to 2 feet of the floor.

Then, width of floor in the scale drawing :

38/2=19

Thus, the width of the floor in the scale drawing = 19 inches

Area of the floor in the scale drawing :

=\(length*breath\)

=\(18*19\)

=342 square inches.

Thus, Area= 342 square inches

Therefore, the Area of the rectangular floor in the scale drawing = 342 inches

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Answer:The 99% confidence interval is

To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:

CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)

Where:

Mean is the sample mean of SBP

Z is the Z-score corresponding to the desired confidence level

Standard Deviation is the population standard deviation

Explanation:

Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.

First, we calculate the sample mean:

Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13

= 1724 / 13

≈ 132.62

Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.

Now, we can calculate the confidence interval:

Confidence Interval = 132.62 ± 2.576 * (10 / √13)

132.62 ± 2.576 * (10 / 3.6056)

≈ 132.62 ± 2.576 * 2.771

≈ 132.62 ± 7.147

Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).

9514 1404 393

Answer:

  the scale drawing is larger

Step-by-step explanation:

The scale tells you that ...

  17 cm on the scale drawing represent 1 mm on the actual object.

17 cm is larger than 1 mm, so the scale drawing is larger.

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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Answer:

\(x\) = 7

Step-by-step explanation:

10\(x\)² + 9 = 499

10\(x\)² = 499 - 9

10\(x\)² = 490

\(x\)² = 49

\(x\) = 7

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Answer:

Below

Step-by-step explanation:

From mile 3 to mile 18 is 15 miles

   He needed   2 hrs - .75 hr  = 1.25 hr to run 15 miles

15 miles / 1.25 hr =  12 miles per hour    ( VERY fast !)

The intersection of sets A and B is {a, c}.

The intersection of two sets consists of the elements that are present in both sets. In this case, set A contains the elements {a, b, c, d}, and set B contains {a, c, e}.

To find the intersection, we look for the common elements between the two sets. In this case, both sets A and B have the elements 'a' and 'c'. Therefore, the intersection of sets A and B is {a, c}.

In set theory, the intersection operation allows us to identify the shared elements between sets. It provides a way to find the common elements and create a new set from them.

In this example, 'a' and 'c' are the only elements present in both sets A and B, so they form the intersection set. Other elements like 'b' and 'd' from set A and 'e' from set B are not common between the sets and thus are not part of the intersection.

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The equation of the tangent to the curve at the point corresponding to θ = 0 is y = 1/2x - 1/2.

To find the equation of the tangent to the curve, we need to determine the slope of the tangent at the given point. We differentiate the equations of x and y with respect to θ:

dx/dθ = -sin(θ) + 2cos(2θ)

dy/dθ = cos(θ) - 2sin(2θ)

Substituting θ = 0 into these derivatives, we get:

dx/dθ = -sin(0) + 2cos(0) = 0 + 2 = 2

dy/dθ = cos(0) - 2sin(0) = 1 - 0 = 1

The slope of the tangent is given by dy/dx. Therefore, the slope at θ = 0 is:

dy/dx = (dy/dθ)/(dx/dθ) = 1/2

Using the point-slope form of a line, where the slope is 1/2 and the point is (x, y) = (cos(0) + sin(20), sin(0) + cos(20)) = (1, 0), we can write the equation of the tangent as:

y - 0 = (1/2)(x - 1)

Simplifying the equation, we get:

y = 1/2x - 1/2

Therefore, the equation of the tangent to the curve at the point corresponding to θ = 0 is y = 1/2x - 1/2.

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When a boulder is pushed off a cliff, the potential energy of the boulder will be at its maximum just before it starts to fall and at its minimum just as it hits the ground.The potential energy of the boulder is at its maximum just before it starts to fall because it is at its highest point and has not yet begun to move.

The potential energy of an object is determined by its location relative to other objects and the conditions that surround it. When a boulder is pushed off a cliff, the energy stored in it is converted from potential energy to kinetic energy.

Therefore, when a boulder is pushed off a cliff, the potential energy of the boulder will be at its maximum just before it starts to fall and at its minimum just as it hits the ground.The potential energy of the boulder is at its maximum just before it starts to fall because it is at its highest point and has not yet begun to move.

At this point, the boulder has stored the maximum amount of energy that can be converted into kinetic energy when it starts to fall. At this point, the potential energy is equal to the gravitational potential energy (GPE) of the boulder, which is given by the equation GPE = mgh, where m is the mass of the boulder, g is the acceleration due to gravity, and h is the height of the cliff.The potential energy of the boulder is at its minimum just as it hits the ground because it has no more height to lose.

At this point, all of the potential energy that the boulder had at the top of the cliff has been converted into kinetic energy as it fell, and this kinetic energy has been transferred to other objects as the boulder collided with them. Therefore, the potential energy of the boulder is zero at this point.

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(2 × 4 × 3) + (4 × 9 × 4) 2 × 4 × 3 + 4 × 9 × 4 this expression is the correct answer.

Value is a concept that describes the worth of something in relation to its utility, purpose or importance. Value can refer to tangible items like money, or intangible concepts like morality, loyalty, or trust. Value is subjective, as it differs between individuals and cultures. It can also be expressed in terms of time, effort, resources, or any combination of these. Ultimately, value is a personal judgment of what is valuable and important to each individual.

The expression C. (2 × 4 × 3) + (4 × 9 × 4) 2 × 4 × 3 + 4 × 9 × 4 can be used to find the volume of the packaging.

This expression will calculate the volume of the packaging by multiplying the length, width, and height of both sections of the packaging, then adding the two products together.

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Answer:

b and c

Step-by-step explanation:

Answer:

12 x 5

Step-by-step explanation:

PEMDAS

(2 x 6) x 5

parentheses:

(12) x 6 = 12 x 5

a.

= (5x)² - 3 = 25x² - 3

- 5f(x) = 5(x² - 3) = 5x² - 15

b.

- f(x - 2) = (x - 2)² - 3 = x² - 4x + 1

- f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

a. To calculate f(5x), we substitute 5x into the function f(x) and simplify the expression.

  f(5x) = (5x)² - 3 = 25x² - 3

  To calculate 5f(x), we multiply the function f(x) by 5.

  5f(x) = 5(x² - 3) = 5x² - 15

b. To calculate f(x - 2), we substitute (x - 2) into the function f(x) and simplify the expression.

  f(x - 2) = (x - 2)² - 3 = x² - 4x + 4 - 3 = x² - 4x + 1

  To calculate f(x) - f(2), we evaluate f(x) and f(2) separately and then find their difference.

  f(x) = x² - 3

  f(2) = 2² - 3 = 4 - 3 = 1

  f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

For the difference quotient of f(x) = -7x² - 5x + 9, we can calculate it as follows:

Difference quotient = [f(x + h) - f(x)] / h

Expanding the function and substituting into the difference quotient formula, we have:

[f(x + h) - f(x)] / h = [-7(x + h)² - 5(x + h) + 9 - (-7x² - 5x + 9)] / h

Simplifying and expanding further:

= [-7(x² + 2hx + h²) - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-7x² - 14hx - 7h² - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-14hx - 7h² - 5h] / h

= -14x - 7h - 5

The difference quotient of f(x) = -7x² - 5x + 9 is -14x - 7h - 5.

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Answer:

Given for big triangle:

Given for small triangle:

setting up proportionality:

\(\hookrightarrow \sf \dfrac{36}{3x+24} = \dfrac{27}{3x+9}\)

\(\hookrightarrow \sf 36(3x+9) = 27(3x+24)\)

\(\hookrightarrow \sf 108x+324 = 81x+648\)

\(\hookrightarrow \sf 108x-81x = 648-324\)

\(\hookrightarrow \sf 27x = 324\)

\(\hookrightarrow \sf x = 12\)

Perimeter of the triangle:

36 + 17 + 15 + 3x + 9

36 + 17 + 15 + 3(12) + 9

113 units

Answer:

x = 12

perimeter = 113 units

Step-by-step explanation:

Triangle Proportionality Theorem states that if a line parallel to one side of the triangle intersects the other two sides, then it divides the sides into proportional corresponding segments.

\(\implies 3x+9 : 15 = (36-9) : 9\)

\(\implies 3x+9 : 15 = 27 : 9\)

\(\implies \dfrac{3x+9}{15}= \dfrac{27}{9}\)

\(\implies 3x+9 = 45\)

\(\implies 3x = 36\)

\(\implies x = 12\)

Perimeter = \(3x+9 + 15 + 17 + 36\)

Substituting \(x = 12\):

⇒ perimeter = 3(12) + 9 + 15 + 17 + 36

                     = 113

Answer:

Step-by-step explanation: