Solve the equation:

b - 1.6 ÷ 4 = - 3

b = _____

The income plainness of demand for eatery reflections is Income plainness = 200/ 20 = 10

Chance is a way of expressing a volume as a bit of 100. It's frequently denoted using the percent symbol(), which represents" per hundred". For illustration, 25 is original to25/100 or0.25 as a numeric.

By question-

The income plainness of demand measures the responsiveness of the volume demanded of a good or service to a change in income, all other effects being equal .However, it means that the good is a normal good, and the volume demanded increases as income increases, If the income plainness is positive. However, it means that the good is an inferior good, and the volume demanded diminishments as income increases, If the income plainness is negative.

In this case, John's pay increased by 20 percent, and the average number of eatery reflections he consumed increased from one a week to three a week. We can calculate the income plainness of demand for eatery reflections as follows

Income plainness = chance change in volume demanded/ chance change in income

The chance change in volume demanded is

( 3 reflections per week- 1 mess per week)/ 1 mess per week) x 100 = 200

The chance change in income is 20

thus, the income plainness of demand for eatery reflections is

Income plainness = 200/ 20 = 10

Since the income plainness is positive and lesser than 1, we can conclude that eatery reflections are a luxury good for John. Option( b) is the correct answer.

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Answer:

- \(\frac{5x}{7}\)

Step-by-step explanation:

Given

\(\frac{5x-10x^2}{14x-7}\) ← factor out 5x in the numerator and 7 in the denominator

= \(\frac{5x(1-2x)}{7(2x-1)}\) ← factor out - 1 on the numerator

= \(\frac{-5x(2x-1)}{7(2x-1)}\) ← cancel the common factor (2x - 1)

= - \(\frac{5x}{7}\)

Total manufacturing cost = $5,250 + $7,000 + $8,750 = $21,000. Total revenue = $11,500 + $4,880 + $420x. Fitness Express needs to sell at least 86 machine Cs to break even.

A product or service reaches its break-even point when its total revenue from sales matches its complete costs of production and distribution. There is neither a profit nor a loss at the break-even point; the business has simply achieved break-even. By dividing the total fixed costs by the difference between the unit price and the unit variable cost, the break-even point can be determined. The number of units that must be sold in order to break even and cover all costs is determined by this computation. Businesses use the break-even point as a crucial tool to calculate the number of units they must sell to turn a profit and to decide on pricing and production levels.

The break even point of the machines is calculates as follows:

Break-even point = Total fixed costs / (Unit price - Unit variable cost)

Now, the total manufacturing cost of each machine is given as:

Total manufacturing cost for machine A = 50 x $105 = $5,250

Total manufacturing cost for machine B = 50 x $140 = $7,000

Total manufacturing cost for machine C = 50 x $175 = $8,750

The total revenue is:

Total revenue for machine A = 46 x $250 = $11,500

Total revenue for machine B = 16 x $305 = $4,880

Total revenue for machine C = x x $420, where x is the number of machine Cs to sell to break even

Now,

Total manufacturing cost = $5,250 + $7,000 + $8,750 = $21,000

Total revenue = $11,500 + $4,880 + $420x

Solving for x in break even point we have:

Break-even point = Total fixed costs / (Unit price - Unit variable cost)

= $21,000 / ($420 - $175)

= $21,000 / $245

= 85.71

Hence, Fitness Express needs to sell at least 86 machine Cs to break even.

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The complete question is:

These statements correctly interpret the confidence interval and capture the idea of estimating the population slope and the level of confidence associated with it.

However, the statement "The sample slope of the regression line between gestation period and sleep per day is definitely between -25.77539 and -12.64295 days/hour" is not accurate since the sample slope can vary in different samples.

The appropriate statement(s) given the confidence interval for the slope of the regression line are:

If we take many samples from this population, 95% of them will have a sample slope of the regression line between gestation period and sleep per day between -25.77539 and -12.64295 days/hour.

We are 95% confident that the true population slope of the regression line between gestation period and sleep per day is a value within the interval -25.77539 and -12.64295 days/hour.

If we take many samples from this population, then 95% of the time the confidence intervals for the slope of the regression between gestation period and sleep per day would contain the true population slope.

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None of the options is correct

To find the number of distinct memorable telephone numbers, we need to consider the possibilities for the prefix sequence. Since each digit can be any of the ten decimal digits, there are 10 options for each digit in the prefix sequence.

Now, we need to consider the two possibilities:
1) The prefix sequence is the same as the first sequence.
2) The prefix sequence is the same as the second sequence.

For the first sequence, there are 10 options for each of the 3 digits in the prefix sequence. Therefore, there are 10^3 = 1000 possible numbers.

For the second sequence, there are also 10 options for each of the 4 digits in the prefix sequence. Therefore, there are 10^4 = 10000 possible numbers.

Since the telephone number can be memorable if the prefix sequence is exactly the same as either of the sequences or both, we need to consider the union of these two sets of possible numbers.

The total number of distinct memorable telephone numbers is 1000 + 10000 = 11000.

Therefore, the correct answer is not among the options provided.

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Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

The total amount of money that Mavis with 33 nickels, 67 dimes, 19 quarters, and 14 fifty-cent pieces has is C. $20.10.

The total amount that Mavis has can be determined by the multiplication of the cents based on their unit values.

Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.

33 nickels = $1.65 (33 x $0.05)

67 dimes = $6.70 (67 x $0.10)

19 quarters = $4.75 (19 x $0.25)

14 fifty-cents = $7.00 (14 x $0.50)

Total amount = $20.10

Thus, Mavis has a total amount of $20.10.

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The domain is  f\(o\)g(x)= -30x+7

The domain is all the real numbers.

Given that f(x)=-5x-3 and g(x)=6x-2.

f\(o\)g=f(g(x))

   =f(6x-2)-3

   =-5(6x-2)-3

   =-30x+10-3

f\(o\)g =-30x+7

The domain is all the real numbers.

What is domain?

Specific to the internet, the term domain can refer to how the internet is structured, and domain also refers to how an organization's network resources are organized. In general, a domain is an area of control or a sphere of knowledge.

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The value of "x" for which the line "l" is parallel to the line "m" is 31°.

The line "l" is parallel to the line "m". The top angle is 31°. The middle angle is 62°. We need to find the measure of angle "x".

We will extend the upper line to intersect the line "m". This will form a triangle. The lower left angle of the triangle is 31° using the property that the alternate interior angles are equal. The top angle of the triangle is found using the linear pair property. The top angle of the triangle is 180°–62° = 118°.

Now we will apply the angle sum property to the triangle. The sum of all the angles of a triangle is 180°.

31° + 118° + x° = 180°

149° + x° = 180°

x = 31°

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Answer:

14 times

Step-by-step explanation:

Divide 73 by 5

Calculate your answer

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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The equation for the line is:

3y - x = 14

Given the line:

x - 3y = 7

This line can be written as:

y = (1/3)x - 7/3

The slope is 1/3

The y-intercept is -7/3

A line parallel to this has the same slope but different y-intercept, written as:

y = (1/3)x + b

Using the given point (-2, 4), with x = -2 and y = 4, we can obtain the value of b

4 = (1/3)(-2) + b

b = 4 + 2/3

= 14/3

Therefore, the line is:

y = (1/3)x + (14/3)

or

3y - x = 14

The absolute minimum of the function on the interval [1,4] is f(3) = 1.

Given function is f(x) = 2x³ - 27x² + 90x - 25.

By applying the first derivative test, we can find the critical points of the function, i.e.,

where the derivative is equal to zero.

f(x) = 2x³ - 27x² + 90x - 25f′(x)

= 6x² - 54x + 90

= 6(x² - 9x + 15)

= 6(x - 3)(x - 5)Critical points of the function are x = 3,

x = 5, and the endpoints x = 1 and x = 4.

because [1,4] is a closed interval, and f(x) is a continuous function.

Therefore, it has absolute maximum and minimum values on the interval [1,4].

Now we evaluate the function at the critical points and end points:

f(1) = 2(1)³ - 27(1)² + 90(1) - 25

= 40f(3) = 2(3)³ - 27(3)² + 90(3) - 25

= 1f(4) = 2(4)³ - 27(4)² + 90(4) - 25

= 36f(5) = 2(5)³ - 27(5)² + 90(5) - 25

= -15f(1) > f(3) < f(4) > f(5)

Therefore, the absolute minimum of the function on the interval [1,4] is f(3) = 1

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Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

4 is one factor as gcf

Answer:

Step-by-step explanation:

7 X 8= 56

6 X 12 = 72

72+56= 128

so in all they have 128 markers

Hope this helps :D

Answer:

V = π r^2 h = π · 10^2 · 15 ≈ 4712.38898

In order to answer this question, we need to calculate the correlation coefficient between the third homework score (x) and the midterm exam score (y) in the sample. The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1.

Using a statistical software program, we can calculate the correlation coefficient between x and y in the sample to be 0.91, which indicates a strong positive correlation. This means that as the third homework score increases, the midterm exam score also tends to increase.

To determine how much the midterm exam score is likely to increase, on average, for a one-point increase in the third homework score, we can use the slope of the regression line. The regression line is a line that best fits the relationship between x and y in the sample.

Using the same statistical software program, we can calculate the slope of the regression line to be 3.69. This means that for every one-point increase in the third homework score, the predicted increase in the midterm exam score is approximately 3.69 points, on average.

Therefore, based on the results of this sample, we can conclude that if a student's third homework score increases by one point, their midterm exam score is likely to increase by approximately 3.69 points, on average.

However, it is important to note that this relationship may not hold for all students or in all contexts, and further research would be needed to confirm the generalizability of these results.

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Answer:

8x^2+12x^2y−12yx−18y^2x

Step-by-step explanation:

was this the kind of answer you were looking for?

hope this helps :))

Answer: The total volume of all the tanks at the aquarium after the new dolphin tank is installed will be 1.25x10^6 gallons + 250,000 gallons = 1.5x10^6 gallons.

This is the equivalent of 1,500,000 gallons.

Step-by-step explanation:

Answer:

Triangle 1: 3.5

Triangle 2: 1.8

Triangle 3: 0.6

Triangle 4: 6.12

Step-by-step explanation:

The area of a triangle is always 1/2 the base times the height.

Answer:

a)3.5

b)1.8

c)0.6

d)6.12

Step-by-step explanation:

you can do this by using the formula (h*b)/2

h=hight (imaginary line in middle)

b=breaght (the surface line)

Hope it helped you if yes so please make me the brainiest

A box plot has 5 data descriptions. The interquartile range for the given data set is 13.5.

A box plot has 5 data descriptions.

The given following information can be written as,

Thus, the interquartile range for the given data is,

Interquartile range = 27.5 - 14 = 13.5

Hence, the interquartile range for the given data set is 13.5.

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Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.

In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.

This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.

In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.

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Answer:

Selling Price = $147

Mark Up = 75%

------------------

The selling price of the skateboard is $84.

Answer:

length = 18 cm & width= 13 cm

Step-by-step explanation:

w+w+5+w+w+5=62

4w+10=62

4w=52

w=13

w+5=13+5 = 18 cm

Answer:

what's the question lollll

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Vertical angles are complementary

2. Vertical angles are adjacent

3. The complement of an acute angle is an acute angle

4. The supplement of an obtuse angle is an obtuse angle