what is it called when something gradually increases in size

Answer:

these are supplementary angles

value of X=14

Step-by-step explanation:

since they are supplementary you can set them equal to 180

13x-2=180

13x=182

x=14

The elasticity of demand D(x) = 1200/X is given by E(X) = -1200/X².   The correct answer is therefore not provided.

Elasticity is the measurement of the percentage change in the quantity demanded in response to a percentage change in the price of the product.

Here, we are asked to find the elasticity of

q = D(x)

= 1200/X,

We can find the elasticity of D(x) = 1200/X

using the following formula:

E = (ΔQ/ΔP) * (P/Q)

Here, Q = 1200/X, and P = X.

So, we need to find

ΔQ/ΔP = (dQ/dP) * (P/Q)

We can take the derivative of D(x) = 1200/X with respect to X using the quotient rule and obtain:

dQ/dP = -1200/X²

We can substitute these values into our equation to get:

E = (ΔQ/ΔP) * (P/Q)

E = (-1200/X²) * (X/(1200/X))

E = (-1200/X²) * (X²/1200)

E = (-1200/X²) * (1)

E = -1200/X²

Hence, the elasticity of D(x) = 1200/X is given by E(X) = -1200/X².

Therefore, none of the given choices match with the correct answer.

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3/7  is the probability that martin is served a main course.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                            In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

A = Served with main course

n(A) = 6

S = sample space total no of different courses

n(S) = 6 + 3 + 5 = 14

P(A) = n(A)/n(S)  = 6/14 = 3/7

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The volume of the given prism is 72 mi³, so, the correct answer is option (B) 72 mi³.

A prism is a 3-D solid shape having 2 parallel and congruent polygonal bases connected by rectangular faces.

It is given that the height of the prism is 3 mi and the base is a right-angled triangle in shape with a length of 8 mi and a base width of 6 mi.

It is needed to find the volume of that prism.

The volume of a prism is calculated by multiplying the area of the base with its height, therefore, the volume of the prism is given as:

Volume = Area of base × Height

             \(= \frac{1}{2}\times 8 \times 6 \times 3\\= 4 \times 6 \times 3\\ = 72\ mi^3\)

Thus, option (B) 72 mi³ is the correct answer.

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The complete question is as follows:

There is a 3 mi high prism with a right-angled triangular base of length 8 mi and a base 6 mi wide.

Find the prism's volume.

A. 75 mi³

B. 72 mi³

C. 36 mi³

D. 104 mi³

Answer:

69.75 in^2

Step-by-step explanation:

Please see the attached image.

Let's first find the area of the bottom rectangle. The area of a rectangle is the length times the width.

9*4.5=40.5 in^2

Now let's find the area of the triangle on top. The area of a triangle is the base times the height divided by 2.

9*6.5/2=29.25 in^2

Now add the areas of the two shapes to get the total area of the figure.

40.5+29.25=69.75 in^2

Answer:

69.75 in²

--

First divide the shape into rectangles and triangles.

There is one triangle and one rectangle

Then . .

Solve the area of the bottom rectangle

-formula A = L x W

Then . .

Find the area of the triangle on top

-formula

A = 1/2 × b × h

Plug in . .

Finally add the two areas together to get the finale area!

40.5 + 29.25 = 69.75 in²

Two triangles are a square ，One Square Be 360º， Half of the square is 180º

To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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if it wants to reduce the dollars flowing out of the country, the United States can limit the number of Japanese cars being imported by imposing an Import Quota.

Import Quota:

An import quota is a type of trade restriction that places a physical limit on the amount of goods that can be imported into a country during a specific period of time. Like other trade restrictions, quotas are generally used to the benefit of commodity producers in a given economy (protectionism). The essence of import quotas is to limit the amount of foreign goods that can be brought into a country. Quotas work by allowing only those authorized through a license or government contract to bring in the amount specified in the contract. When the quantity specified in the quota is reached, no more goods can be imported during this period.

There are also quota insurance programs where liability and premiums are distributed proportionately among insurers. For example, three companies have a $1,000,000 fire insurance policy per quota, Company A receives 50% ($500,000), Company B receives 30% ($300,000), and Company C receives 20% ($200,000). If the annual bonus is $5,000, Company A will receive $2,500, Company B will receive $1,500 and Company C will receive $1,000. Company A pays 50%, company B 30% and company C 20% for each claim.

Complete Question:

To reduce dollars flowing out of the country, the United States can take measures to limit the number of foreign cars imported from Japan by imposing a(n).

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Answer:

Step-by-step explanation:

The graph represents step function.

That is C(x) = [ x ],

Evaluate C( 3 )

Cost at x = 3 , C( 3 ) = 7

The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.

The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)

Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.


P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:

P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)

P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.

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Based on the exponential decay equation, the number of employees for the company that has been decreasing yearly by 5%, will in 10 years be approximately 515.

The exponential decay equation or function gives the value in t years that has a constant ratio of decrease.

Exponential decay equation is one of the two exponential functions.  The other is the exponential growth equation.

The annual decrease in the number of employees = 5%

The current number of employees in the company = 860

The expected time = 10 years.

The exponential decay equation is as follows, y = 860 x 0.95^10.

y = 860 x 0.95^10 = 515

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.

In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

15 gallons of gasoline = 214.5 miles

X gallons of gasoline = 111.54 miles

By cross-multiplying, we have the following:

214.5x = 15 × 111.54

x = 1,673.1/214.5

x = 7.8 gallons of gasoline.

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Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

\( \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6\)

\( \hookrightarrow \: y + 7x - 7 = 16x - 6\)

\( \hookrightarrow \: y = 16x - 6 - 7x + 7\)

\( \hookrightarrow \: y = 6x + 1\)

hence, measure of the third side is 6x + 1

Answer: Option 2 or B. AAS

Step-by-step explanation:  B. AAS

Trust me!

If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.

If you found any of my answers helpful please like and subscribe I mean "heart", friend me and/or choose my answer as Brainliest. I would appreciate it!   Good luck everyone!  :)

When two angles and the non-included side of one triangle are congruent to other triangle the by AAS congruency they are congruent. Therefore, option B is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

AAS, two angles and one side of a triangle are equal to two angles and one side of another triangle then they are congruent.

Therefore, option B is the correct answer.

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P-value is0.1558 and the z- value is 1.012 when a random sample of 40 drivers was questioned to determine whether the commute time differs in the winter.

Given that,

The Census Bureau informs us that Cleveland, Ohio residents commute on average for 33 minutes. A random sample of 40 drivers was questioned to determine whether the commute time differs in the winter.

The standard deviation of the population is estimated to be 7.5 minutes, and the average commute time for the month of January was calculated to be 34.2 minutes.

Let = μ average commute time in winter.

So, Null Hypothesis, H₀ : μ = 33 minutes      {means that the commuting times are same in the winter}

Alternate Hypothesis, H₁ : μ≠  33 minutes      {means that the commuting times are different in the winter}

The test results that would be utilised in this z test statistics for one sample given our understanding of population standard deviation;

T.S. = ((X bar-mean)/ standard deviation)/root n   ~ N(0,1)

Here, X bar = sample mean commute time for the month of January = 34.2

Standard deviation = population standard deviation = 7.5 minutes

n = sample of drivers = 40

The value of z test statistics is 1.012.

Also,

P-value of the test statistics is given by;

P-value = P(Z > 1.012) = 1 - P(Z  1.012)

= 1 - 0.84423

= 0.1558

Therefore, P-value is0.1558 and the z- value is 1.012 when a random sample of 40 drivers was questioned to determine whether the commute time differs in the winter.

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Answer:

Unknown, Solve for x or y?

Step-by-step explanation:

You need to elaborate on your answer... sorry.

In the meantime, here is Microsoft Math Solver, With your equations:

https://mathsolver.microsoft.com/en/solve-problem/x-y%20%3D%20%203

You can use this tool next time :)

Have a great day,

Nate

Step-by-step explanation:

Four tosses of the coin result in 2^4 = 16 possible outcomes of which FOUR

will have ONE tails :

HHHT

HHTH
HTHH
THHH      so 4 out of 16  = 4/16 = 1/4    Not very unusual

Answer:

below

Step-by-step explanation:

In short, we will add both coefficients together to combine like terms.

3x + 5x → x(3 + 5) → 8x

If you have a value like 2x and 2, you cannot combine them because they do not have the same variable.

Best of Luck!

Answer:

4.78 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)πr²h.  Here, V = 31.254 cm³ and r = 2.5 cm.  

We begin by solving V = (1/3)πr²h for the unknown height, h:

         31.254 cm³              3(31.254 cm³)            93.762 cm³

h = ------------------------  =  --------------------------  =  --------------------  ≈  4.78 cm

            (1/3)πr²                       π(2.5 cm)²               19.635 cm²

Answer:

it think it is B. Digital payments are more common than ever.

Step-by-step explanation:

"Significant gains have been recorded, however, in the share of consumers using two or more digital payments methods, which jumped from 45 percent last year to 58 percent in 2020 "

Hope This Helped

Answer:

Step-by-step explanation:volume of cylinder =π r²h

= 3.14 × 17×17×16

= 14519.31 inches square .

a) The pumpkin thrown downward from a five-story building (15 meters high) results in the messiest impact (highest velocity impact).

b) The second pumpkin will hit the ground at the same velocity as the first pumpkin, regardless of the direction of throw.

c) Throwing the pumpkin downwards results in a higher velocity impact because the gravitational force of the Earth adds to the initial velocity.

The velocity of the pumpkin is directly proportional to the height of the building from where it is thrown. Thus, the pumpkin thrown from a five-story building has a higher velocity than that thrown from a shorter building. To get the messiest impact, the pumpkin must be thrown downward, and not upward. This is because the gravitational force of the Earth adds to the initial velocity, making the pumpkin hit the ground with a higher velocity. The velocity at which the second pumpkin hits the ground will be the same, regardless of the direction of throw. This is because the initial velocity of the pumpkin is the same in both cases, and the force of gravity acting on it is also the same.

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Answer: 0.924

Step-by-step explanation:

Given

\(\frac{2.310x}{4y} *\frac{8y}{5x}\)

Simplify  \(\frac{2.310x}{4y}\) to \(\frac{0.5775x}{y}\)

\(\frac{0.5775x}{y}*\frac{8y}{5x}\)

Cancel y

\(0.5775x* \frac{8}{5x}\)

Cancel x

\(0.5775* \frac{8}{5}\)

Use the rule, \(a*\frac{b}{c} =\frac{ab}{c}\)

\(\frac{0.5775*8}{5}\)

Simplify

\(\frac{4.62}{5}\)

Simplify

0.924

If the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.

A triangle having all the three sides equal and all the angles equal is called the equilateral triangle.

As we can see that if the triangle is having all the angles equal then all three sides of the triangle must be equal. The triangle is termed the equilateral triangle.

Therefore the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.

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The range measures the spread of the data, the standard deviation measures the variability, and the IQR represents the middle 50% of the data.

To find the range of the distribution, subtract the smallest value from the largest value. In this case, the smallest percent of air is 1 and the largest is 60. Therefore, the range is 60 - 1 = 59.To calculate the standard deviation, you'll need to use a formula.

The standard deviation measures the spread of data around the mean. A higher standard deviation indicates greater variability. To find the interquartile range (IQR), you need to subtract the first quartile (Q1) from the third quartile (Q3).

The quartiles divide the data into four equal parts. The IQR represents the middle 50% of the data and is a measure of variability. To recalculate the range, standard deviation, and IQR for the other 13 bags of chips, you need to exclude the Fritos bag with 19% of air. Then, compare these values to the ones you obtained earlier.

In conclusion, the range measures the spread of the data, the standard deviation measures the variability, and the IQR represents the middle 50% of the data. Comparing the values between the full dataset and the dataset without the potential outlier helps to analyze the impact of the outlier on these measures.

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Probit coefficients are typically estimated using:

A. the method of maximum likelihood.

The method of maximum likelihood is used to estimate the probit coefficients. This method aims to find the coefficients that maximize the likelihood of observing the given sample data. It involves an iterative process to identify the most likely parameter values for the model, making it suitable for nonlinear models like the probit model. Maximum likelihood estimation is a widely used method in econometric analysis due to its desirable properties, such as consistency and asymptotic efficiency.

In summary, probit coefficients are estimated using the method of maximum likelihood, which provides the most accurate and efficient estimates for this type of model.

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Hope you could understand.

If you have any query, feel free to ask.

Answer:

112 hours and 50 mins

Step-by-step explanation:

Numbers of mins worked in a day = 7×60+30 =450 mins

Now number of mins worked in 15 days = 450×15

= 6750 mins

to convert mins into hours divide by 60

6750÷60 = 112.50

that means total number of hours worked in 15 days = 112 hours and 50 mins

A because 2 is half of 4 and 18 is half of 36.

Step-by-step explanation: because 2 is half of 4 and 18 is half of 36.