como se realiza una encuesta en estadistica

Answers

Answer 1

The steps to conduct a statistical survey are given below.

What is statistical survey?

A statistical survey is any structured inquiry designed to obtain aggregated data, which may be qualitative or quantitative where the individual or corporate identities of the respondents are in themselves of little significance.

Given is to conduct a statistical survey.

The steps to conduct a statistical survey are given below -

Step 1: Write your hypotheses and plan your research designStep 2: Collect data from a sampleStep 3: Summarize your data with descriptive statisticsStep 4: Test hypotheses or make estimates with inferential statisticsStep 5: Interpret your results            

Therefore, the steps to conduct a statistical survey are given above.

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{Question in english -

How to conduct a statistical survey}


Related Questions

Pleasee answer this question and give very clear steps please I’m so confused :’(

Answers

Answer:

Proof below

Step-by-step explanation:

Area of the cross = Area of the rectangle - Area of unshaded regionEach of the unshaded regions is the same size since the arms of the cross are x ie the four unshaded rectangles are congruentTherefore to find the total area of the unshaded , first find the area of each of the unshaded rectangles and then multiply by 4

Looking at the two unshaded rectangles on the top left and bottom left, the total width of both = 2 - x.
Therefore width of one unshaded rectangle = (2-x)/2

Similarly looking at the top left and top right unshaded rectangles,  the width of two = (3-x) and therefore the length of one unshaded rectangle = (3-x)/2

Area of each unshaded rectangle = (2-x)/2 x (3 - x)/2
= (2-x)(3-x)/4Area of 4 unshaded rectangles = (2-x)(3-x)/4 x 4 = (2 -x)(3-x)(2 -x)(3-x) = 6 - 5x + x² calculated by the FOIL methodArea of the entire flag = 3 x 2 = 6 Area of the cross
= 6 - (6 - 5x + x²)
= 6 - 6 + 5x - x²
= 0 + 5x - x²
= 5x - x²

The area of the cross in the flag is equal to A = 5 · x - x².

How to determine the area of the cross in the flag

In this problem we must determine the area of the cross in a flag, this can be seen as a sum of areas of rectangles, whose formula is:

A = w · l

Where:

w - Width, in metersl - Length, in meters

Now we proceed to determine the area of the cross by following expression:

A = 3 · x + 2 · (1 - 0.5 · x) · x

A = 3 · x + 2 · x - x²

A = 5 · x - x²

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A_______________ measures the number of standard deviations that a particular value is away from the mean.

Answers

The answer is Z-score. Z-score measures the number of standard deviations that a particular value is away from the mean.

A z-score is a numerical measure used in statistics to measure the number of standard deviations between data point and the mean. It is calculated by the subtracting of the population mean from the individual raw score and then dividing the difference by population standard deviation.

The resulting number is  z-score, which can then also be used to determine the probability of a raw score in the population. Z-Scores are useful for comparing scores on different tests because they allow you to compare scores on different scales.

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A Quadrilateral in which both pairs of opposite sides are parallel is called a) u parallelogram b) Rhombus c) square d) Trapezium​

Answers

A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel. This particular quadrilateral has four sides, two of which are parallel and equal in length, and both of which have equal-sized opposite angles.

A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel. This particular quadrilateral has four sides, two of which are parallel and equal in length, and both of which have equal-sized opposite angles. A parallelogram has equal-length opposite sides and diagonals that cut each other in half. It possesses all the characteristics of a parallelogram, including diagonals that are split in half and angles that add up to 360 degrees. Additionally, it is the only quadrilateral in which the angles on either side are equal.

In two dimensions, a parallelogram is a shape with four sides and four angles. It is a particular kind of quadrilateral where the opposing sides are parallel and all sides are the same length. In terms of the intersection of the two sides, it is also symmetrical. A parallelogram has equal opposed angles and diagonals that cut each other in half.A parallelogram's internal angles add up to 360°. The parallelogram is a rectangle if two of its adjacent angles are supplementary. Whenever a parallelogram's angles are all at right angles, it is a square.

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If f(x)=3x^-1 +8x^0, then which of the following is the value of f(a) in terms of a? (1) 3/a +8 (2) 8a +a/3 (3) 8a-3 (4) 1-a/3

not only do I need the right answer but I will need a valid explanation please. anything nonsensical will be reported.​

Answers

The function f(x) evaluated in x = a gives:

f(a) = 3/a + 8

How to find the value of f(a)?

Here we have the function f(x) = 3x^(-1) + 8x^0

Remember that:

x^-1 = 1/x

x^0 = 1

Then we can rewrite our function as:

f(x) = 3/x + 8

Now we can evaluate this in x = a, then we will get:

f(a) = 3/a + 8

That is the correct option.

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a parking row has 8 spaces. four cars are pulled in randomly to park in the parking row. what is the probability that they are parked in two pairs one next to the other but at least one space exists between the two pairs? assume all four cars are different.

Answers

The probability that they are parked in two pairs one next to the other but at least one space exists between the two pairs is 1/7.

In the given question a parking row has 8 spaces.and four cars are pulled in randomly to park in the parking row.

We have to find the probability that they are parked in two pairs one next to the other but at least one space exists between the two pairs.

Number of ways to arrange 4 cars in 8 places = P(8,4)

Number of ways to arrange 4 cars in 8 places = 1680

Number of ways to arrange 4 cars in 2 pairs = N

(Choose 2 pairs of consecutive place from 8 and arrange 4 cars) = 15*4!

= 360

Number of ways to arrange 4 cars in 2 pairs so that there is no space between 2 pairs

= 5*4!

= 120

therefore,

Number of ways no two pairs are consecutive = 360-120

Number of ways no two pairs are consecutive = 240

probability=240/1680

Probability = 1/7

Therefore, the probability that they are parked in two pairs one next to the other but at least one space exists between the two pairs is 1/7.

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One of the primary goals of constructing a frequency distribution for quantitative data is to summarize:___________

Answers

One of the main goals of making a frequency distribution for quantitative data is to summarize the data in a way that properly depicts data as a whole.

A frequency distribution is a representation of the number of times each value or range of values appears in a set of data. By constructing a frequency distribution, we can get a better understanding of the distribution of values and the overall pattern of the data. This information can help us identify any outliers, the center or average of the data, and the spread or variability of the data.

Additionally, a frequency distribution allows us to compare different sets of data and make informed decisions based on the information presented. For example, if we compare the frequency distributions of two groups, we can determine if there are any significant differences between the two groups. This can be useful in various fields such as market research, psychology, and medicine.

In summary, the goal of constructing a frequency distribution is to summarize the information contained within the data and gain a better understanding of the distribution of values. This information can be used to make informed decisions and compare different sets of data.

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Yesenia placed bricks around her circular garden. It took 157 bricks to go all the way around the garden. If each brick was 4 inches long, what is the diameter of the garden?

Answers

The diameter of the circle is 12.5 inches

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: 157 breaks required to make a circular garden and cover the boundary.

Now each brick is 4 inches long

Thus total length of the circumference of the circular garden we get

157/4=39.25 inches long

Thus the circumference of the circle is given by

2πr=39.25

2r=39.25/3.14

d=12.5 inches

Thus the diameter is 12.5 inches.

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PLEASE HELP Determine the x and y intercepts for each indicated line.
1. 2x-4y=8
2. 4x+y= -5
3. 14--7y=-14
4. 2x+6y=10

Answers

Answer:

x = -2/3

y = -7/3

Step-by-step explanation:

2x-4y=8

4x+y= -5

Times the first equation by -2

-4x + 8y = -16

4x + y = -5

9y = -21

y = -7/3

Now put -7/3 back in for y and solve for x

4x - 7/3 = -5

4x - 7/3 = -15/3

4x = 8/3

x = -2/3

Answer:

x: 4, y: -2x: -5/4, y: -5x: -1, y: 2x: 5, y: 5/3

Step-by-step explanation:

You want the x- and y-intercepts of each of the given lines:

2x-4y=84x+y= -514x-7y=-142x+6y=10

Intercepts

The x-intercept is the x-value when y = 0. For an equation of the form ...

  ax +by = c

setting y = 0, we have ...

  ax = c

Solving for x gives ...

  x = c/a . . . . . x-intercept

Similarly, setting x=0 and solving for y gives the y-intercept:

  by = c

  y = c/b

1. 2x -4y = 8

X-intercept: 8/2 = 4

Y-intercept: 8/-4 = -2

2. 4x +y = -5

X-intercept: -5/4

Y-intercept: -5/1 = -5

3. 14x -7y = -14

X-intercept: -14/14 = -1

Y-intercept: -14/-7 = 2

4. 2x +6y = 10

X-intercept: 10/2 = 5

Y-intercept: 10/6 = 5/3

Pleeeeeeeease I need help answer this for me

Answers

Answer:B I’m not sure if it is correct

Step-by-step explanation:

you skim the journal article to find information on the sample used in the study. in which section of the report would the sampling plan appear?

Answers

Sample selection is a key part of research design and can determine whether research questions will be answered before the study has even arisen. Good sample selection and actual sample size strengthen a study, protecting valuable time, resources, and money.

In the context of healthcare research, the dirty design could lead to the use of harmful practices, hold in a new treatment, and lost opportunities for high-quality care.

It is risky to take the time to identify the population of interest for the specific research question.

Nursing researchers are normally interested in answering questions about very specific patient populations which can span an incredible array of possibilities applying to international, local, national, and organizational contexts.

Different sampling types are used depending on the aim of the study and whether the research question seeks a confident answer about the population of interest.

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need help pls
schoology

Answers

The box in the corner shows that this is a 90 degree angle so take 42 and subtract it from 90 in order to find out what the rest of the angle is which is 48 degrees
This graph displays a complementary angle, meaning all sides add to a sum of 90°. Given that one side equals 42°, we can subtract 90 - 42 to find that the measure of the missing angle is 48°.

Do the ratios 7 4 and 42 24 form a proportion?

Answers

Answer:

yes

Step-by-step explanation:

a ratio is a special form of a fraction, but it is a fraction.

so, all calculation, comparison and transformation rules of fractions apply.

7:4 = 7/4

42:24 = 42/24

and because

7/4 × 6/6 = 42/24

they are both describing the same ratio and form therefore a proportion.

a proportion simply means that two fractions are equal.

Yes because 42 divided by 7 is 6 and 24 divided by 4 is 6 which makes the ratio 7:4 and 42:24 equal to each other

Evaluate 2 over 3 times 6 minus 3 plus 5 over 3 times 3

Answers

Answer: 2/21

Step-by-step explanation:

2/3x6-3+5/3x3

2/18-3+5

2/21

Triangle XYZ is rotated 90° counterclockwise using the origin as the center of rotation.





Which other rotation can be used to create triangle X’Y’Z’ from triangle XYZ?
90° clockwise
270° clockwise
270° counterclockwise
360° counterclockwise

Answers

The other rotation that can be used to achieve the transformation is; C: 270° counterclockwise

What is the rotation used?

From the coordinates of XYZ transformed to coordinates of triangle X'Y'Z', we can see that the transformation pattern is;

(x, y) -----> (-y, x)

Now, this pattern of transformation occurs when;

There is a 90° clockwise rotation. However, the other rotation that can be used to achieve this is a 270° counterclockwise rotation

Answer: Triangle XYZ can be rotated 90° counterclockwise using the origin as the center of rotation to create triangle X’Y’Z’. To obtain the original triangle XYZ, we need to rotate the triangle X'Y'Z' by 90° clockwise using the origin as the center of rotation. This means that rotating the triangle X'Y'Z' by 90° clockwise is the same as rotating triangle XYZ by 90° counterclockwise, so the answer is 90° clockwise.

Pharoah's Hotel opened for business on May 1, 2022. Its trial balance before adjustment on May 31 is as follows.
PHAROAH'S HOTEL
Trial Balance
May 31, 2022
Account Number
101
126
130
140
141
149
200
201
208
301
429
Cash
Supplies
Prepaid Insurance
Land
Buildings
Equipment
Notes Payable
Accounts Payable
Unearned Rent Revenue
Owner's Capital
Rent Revenue
Debit
$3,600
2,050
3,000
13,000
61,800
14,400
Credit
$40,000
4,900
3,000
41,200

Answers

Answer:

The total debits in the trial balance add up to $99,050, while the total credits add up to $88,100. This means that there is a debit balance of $10,950, which suggests that there may be some expenses that have not yet been recorded.

Solve for x !
[tex] \it( {5}^{2}x + 8(1x)) + 5(9x + 2) - 2[/tex]





Thank You!:)​

Answers

Step-by-step explanation:

(10x + 8x) +( 45x +10)- 2

18x + 45x + 10 - 2

63x + 10 - 2

71x

Step-by-step explanation:

18x + 45x+10-2

63x+8(unlike terms)

The circumference
Find the length of the radius.
Give your answer rounded to 3 SF.
→ r = 0
of a circle is 39.5km.
km

Answers

Answer:

19.8km (to 3 s.f.)

Step-by-step explanation:

circumference= 39.5km

circumference= 2 × radius

radius= 39.5÷2

= 19.75km

= 19.8km (to 3 s.f.)

find the perimeter of this figure. dimensions are in inches
5
3
10
use 3.14 for [tex]\pi[/tex]

Answers

If it is a 2d triangle (I’m assuming it is from the three values provided) you just need to add all three sides together.

5+3+10= 18 inches

No need to use pi unless you are trying do stuff with circles.

Let me know if that helped!

janissa has just purchased a new home the house was priced at 125,000, and she chose a 40 - year - mortgage at 5.2% what will her total cost be

Answers

The total cost for Janissa is given by the equation A = $ 297,312

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost for the home by Janissa be represented as A

Now , the equation will be

The initial cost of the house C = $ 125,000

The total number of payments n = 40 x 12

The total number of payments = 480 payments

The monthly rate i = 5.2 % / 12

The monthly rate i = 0.004333

Now , the monthly payment is M = C [ i ( 1 + i )ⁿ ] / [ ( 1 + i )ⁿ⁻¹ ]

Substituting the values in the equation , we get

Monthly payment M = 125000 [ ( 0.00433 ) ( 1.00433 )⁴⁸⁰ ] / [ 1.00433 )⁴⁷⁹ ]

On simplifying the equation , we get

Monthly payment M = $ 619.40

Now , the total cost of the house A = total number of payments x Monthly payment M

Substituting the values in the equation , we get

The total cost of the house A = 480 x 619.40

The total cost of the house A = $ 297,312

Hence , the equation is A = $ 297,312

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Isabella recently opened her online candle shop, Spectacular Scents. Her sales in the first
week were $86. After advertising her new shop on social media, her sales increased by 20%
the following week and continued to increase at that rate.
Write an exponential equation in the form y = a(b)* that can model Isabella's weekly sales, y,
x weeks after opening her shop.
Use whole numbers, decimals, or simplified fractions for the values of a and b.

Answers

Answer:

Step-by-step explanation:

The required exponential equation that can model Isabella's weekly sales, y, x weeks after opening her shop is y = 86 * (1.20)ˣ.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Let's let the variable x represent the number of weeks after opening the shop, and let y represent the weekly sales in dollars. We know that in the first week, her sales were $86. After that, her sales increased by 20% each week. This means that her sales in the second week were,

We can see that her sales are increasing by a factor of 1.20 each week. This means that we can model her sales using an exponential equation of the form:

y = a * (1.20)ˣ

Where a is the amount of the initial sales in the first week (which we know is $86).

So the exponential equation that can model Isabella's weekly sales, y, x weeks after opening her shop is:

y = 86 * (1.20)ˣ

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Does the fact that YZ = WX lead to the proof that XYWZ is a parallelogram? Why or why not?

Answers

Answer:

C. Yes, if both pairs of opposite sides are congruent, they must also be parallel.

Step-by-step explanation:

a parallelogram means a quadrilateral with 2 pairs that are parallel. If one pair is congruent, that means that if it is parallel, the other pair must be congruent as well. That proof can be pretty complex to explain, but i hope this helps.

Answer:

Step-by-step explanation:

B. No; both pairs of opposite sides can be congruent without being parallel.

The water level f, in feet, at a certain beach is modeled by the function
[tex]f(t)=2sin(2\pi t)/24[/tex], where is the number of hours since the level was measured.

What is the amplitude of the function? What does it mean in this context?
What is the period of the function? What does it mean in this context?
Sketch a graph of the function over 72 hours.

Answers

Answer:

1. Amplitude = 2 feet (max height level of water on the beach)

2. Periodicity = 24 hours (water level reaches 2 ft max every 24 hours or 0 feet minimum every 24 hours

3. Graph attached with explanation

Step-by-step explanation:

For a sine function, sin(x), the maximum value is 1 when x is π/2, 5π/2, 9π/2...

The minimum value is -1 at x = 0, π, 3π/2, 2π,...

a sin(x) will have the maximum value(amplitude) of |a · 1| = |a|

The given function is
[tex]f(t) = 2 \sin\left(\dfrac{2\pi t}{24}\right)\\\\\dfrac{2\pi t}{24} = \dfrac{\pi t}{12}\\\\\textrm{So the function is:}}\\\\f(t) = 2 \sin \left(\dfrac{\pi t}{12}\right)[/tex]

1. The amplitude is 2 and this is the maximum water level in feet at the beach. This occurs when [tex]\textstyle {\dfrac{\pi t }{12} = \dfrac{\pi}{2}}[/tex]

or, when t = 6. It repeats every 24 hours (see #2)

2. The periodicity of a function is when the function starts repeating itself

The periodicity of sin(x) is 2π i.e. the sinusoidal wave starts repeating itself every 2π radians

Since our sine function has πt/12 as its argument we have that
πt/12 = 2π

or t = 24

So every 24 hours, the water level which starts at 0 feet at 0 hours, becomes 0 again

3) Graph of the function attached. Note that water level cannot be negative which is the sine value from π/2 to 2π so we have to set it equal to 0

Water level goes to zero every 12 hours and stays at zero for 12 hours when it starts rising again.

As can be seen from the graph, every 24 hours, the water level reaches a peak height of 2 feet

I hope that this helps

Let x = 120°. What is the second coterminal angle for x that is less than -500°?

Answers

The second coterminal angle for x = 120° that is less than -500° is -620°.

What is angle?

Triangle is geometric figure that can be described as the amount of rotation between two straight line or planes and angle is measured in degree with a full circle being 360° the most common type of angle are the right angles 90° acute angles are less than 90°. Anglican also be classified as either complementary or supplementary depending on how they relate to each other.

Coterminal angles are angles that are the same distance from 0° but in the opposite direction. To find the second coterminal angle for x = 120° we subtract 360° from it. Thus, the second coterminal angle for x = 120° that is less than -500° is -620°.

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the temp at noon was -4c by midnight the temp dropped 8c

Answers

The temperature at midnight was - 12°C.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The temperature at noon was - 4°C.

Now, At midnight the temperature dropped by 8°C.

So, Dropping by 8°C means - 8°C.

Therefore, The temperature at midnight is - 4°C - 8°C = - 12°C.

Q.Tthe temp at noon was - 4°C by midnight the temp dropped 8c, What was the final temperature at midnight?

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Start with the equation 0⋅3=0 to explain why −2⋅3 must equal −6.

Drag descriptions and equations to the table to complete the explanation.

Answers

To complete the explanation, the table needs the following explanations and equations, respectively: (-2 + 2)*3 = 0 Put the distributive property to use. Take 6 away from both sides. -2*3 = -6

How do equations work?

An equal sign is located between the two algebraic expressions to form an equation, which is a mathematical statement. It indicates that the left and right sides of the equation are equal. Mathematical operators, variables, symbols, and integers all appear in algebraic expressions.

The initial stage in this technique is to insert any real number its opposite, which is zero. These results;

(-2 + 2)*3 = 0

The following step is to get using distributive property;

-2*3 + 2*3 = 0

That this next is to remove 6 away from both corners to get at;

-2*3 = 0 - 6

Lastly, we distill to obtain;

-2*3 = -6

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What would be the estimated loss in income from operations if the solvent production were temporarily suspended for May? If a loss is incurred, enter that amount as a negative number using a minus sign

Answers

The sales are expected to drop by 20%, this represents a total estimated loss in income from operations of $213,200.

Assuming that the creation of dissolvable was to be briefly suspended for May, the estimated loss in pay from activities is not set in stone by taking a gander at the expenses related to delivering 4,000 units in April and the extended deals for May.

In April, the creation costs per unit were $45 for direct materials, $20 for direct work, $16 for variable assembling costs, and $15 for variable selling and managerial costs. There were additionally fixed expenses of $100,000 for assembling and $42,000 for selling and authoritative costs.

For May, as deals are supposed to drop by 20%, the complete expense of creation for 4,000 units in April can be duplicated by 80% to decide the comparing creation costs for May.

Similar turns out as expected for fixed costs. In this way, the complete expense of creation in May would be,

$71,200 ($45 × 4,000 × 0.8) for direct materials, $32,000 ($20 × 4,000 × 0.8) for direct work, $25,600 ($16 × 4,000 × 0.8) for variable assembling costs, and $24,000 ($15 × 4,000 × 0.8) for variable selling and authoritative costs.

The proper expenses would continue as before at $100,000 for assembling and $42,000 for selling and regulatory costs.

Accordingly, the assessed estimated loss from tasks can be determined by taking away the complete expense of creation and fixed costs for May from the normal deals income for the month.

Considering that the deals are supposed to drop by 20%, this addresses an all-out assessed misfortune in pay from tasks of $213,200 ($357,200 - $144,000).

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The question is -

The production costs and selling and administrative expenses, based on the production of 4,000 units in April, are as follows:

Direct materials $45 per unit

Direct labor 20 per unit

Variable manufacturing cost 16 per unit

Variable selling and administrative expenses 15 per unit

Fixed manufacturing cost $100,000 for April

Fixed selling and administrative expenses 42,000 for April

Sales for May are expected to drop about 20% below those of the preceding month. No significant changes are anticipated in the fixed costs or variable costs per unit. No extra costs will be incurred in discontinuing operations in the portion of the plant associated with solvent. The inventory of solvent at the beginning and end of May is expected to be inconsequential.

What would be the estimated loss in income from operations if the solvent production were temporarily suspended for May?

Write the expanded form of the expression.
3
(y+x)
3
(y+x)=[
(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answers

The expanded form of the expressions is 3y + 3x

What are algebraic expressions?

These are mathematical expressions that are composed of terms, variables, constants and  factors with coefficients,

These expressions are also known to include mathematical or arithmetic operations, such as;

ParenthesesBracketAdditionSubtractionMultiplicationFloor divisionDivision

They could also be made up of fractions and decimlals

We have the expression;

3(y + x)

expand the parentheses

3y + 3x

Hence, the expression is 3y + 3x

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A curve is such that [tex]\frac{dy}{dx}[/tex] = 2(kx-1)^5 where k is a constant.
Given that the curve passes through points ( 0 , 1) , ( 1 , 8 ) find the equation of the curve.

Answers

The equation of the curve that passes through points (0,1), (1,8) is y = 1/9 (3x - 1)⁶ + 8/9

multiply dx on both sides, To shift it over. By doing this, we get

dy = 2 (kx - 1)⁵dx

Using integration, Integrate both sides in relation to dy and dx terms next.

dy = 2 (kx - 1)⁵dx

∫ dy = ∫ 2 (kx - 1)⁵dx

y = 2 ∫  (kx - 1)⁵dx

Here, a u-substitution is possible. Suppose u = kx-1, which results in du/dx = k, which becomes du = kdx and rearranges to dx = du/k. Consequently, the subsequent steps can look like, y = 2 ∫  (kx - 1)⁵dx

y = 2 ∫ u⁵ × du/k

y = 2/k ∫ u⁵ × du

y = 2/k ( 1/ 5 +1  u⁵⁺¹ + C )

y = 2/k ( 1/ 6 u⁶+ C )

y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

Let's enter (x,y) = (0,1) and use a little algebra to find C. On the right, we'll see an equation in terms of k.

y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

1 = 2/k ( 1/ 6 (k × 0 - 1)⁶ + C )

1 = 2/k ( 1/ 6 + C )

k = 2 ( 1/ 6 + C )

k = 1/3 + 2C

3k = 1 + 6C

6C = 3k - 1

C = (3k - 1) / 6

Let's now insert that C value along with (x,y) = (1,8). After that, calculate k to obtain a precise number.

y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

8 = 2/k  ( 1/ 6 (k × 1 - 1)⁶ + ( 3k - 1 )/6 )

Find the root of the function using a graphing calculator. The x intercept is 3 and k is the input x. This would get you,  C = (3k - 1) / 6

C = (3 × 3 - 1) / 6

C = 8/6

C = 4/3

Therefore, y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

y = 2/3 ( 1/ 6 (3x - 1)⁶ + 4/3 )

y = 1/9 (3x - 1) ⁶ + 8/9 , hence the final equation.

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A farmer operates a tractor on a farm to fertilize crops.



Suppose that shifting into third gear decreased the engine speed (rpm) while increasing the tractor speed (mph). What would be the effect of this change?


A. Both area rate and flow rate would increase.
B. Area rate would increase and flow rate would decrease.
C. Area rate would decrease and flow rate would increase.
D. Both area rate and flow rate would decrease.

Answers

The correct option regarding the area and the flow rate when the engine speed is decreased and the tractor speed is increased is given as follows:

B. Area rate would increase and flow rate would decrease.

How to obtain the effects of each change?

From the first table, when the tractor's speed increases, the area also increases, hence they are direct proportional and the area rate would decrease.

From the second table, when the engine's speed increases, the flow rate also increases, hence if the engine's speed decreases, the flow rate would also decrease, as the variables are also direct proportional.

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(a) Put the following equation in slope-intercept form.

(b) Graph the function. Take a picture or scan your work and your graph and upload your file.

2y + 7 = 3(x + 5)

How you will be graded:

(a) Correct Slope-intercept form (5 points)

One step done correctly = 2 points
More than one correct step, but not fully correct = 4 points
(b) The graph matches the student's slope-intercept equation OR the given equation (5 points)

3 points if either the slope or y-intercept is correct, but not both
0 points if neither the slope nor y-intercept matches the given equation or the equation from the student's answer to part (a)
WILL GIVE BRAINLIEST

Answers

Answer:

According to the equation given, the slope-intercept form is y = -3/2 x - 17/2. To graph this function, you need to first plot the y-intercept at (-17/2, 0) on the graph. Then, use the slope (-3/2) to find the next point and draw a line between the two points. That will be your graph for the equation. Good luck!

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