One paperclip has the mass of 1 gram. 1,000 paperclips have a mass of 1 kilogram. How many kilograms are 5,600 paperclips?

ALL THE SHAPES HERE ARE RECTANGLES AND THE AREA OF A RECTANGLE IS =L×B

TO GET THE AREA OF THE SHADED PART WE SAY THE AREA OF THE OUTSIDE SHAPE SUBTRACT THE AREA OF THE INNER SHAPE.

LET US FIND THE AREA OF THE OUTSIDE RECTANGLE FIRST.

\(a1 = (x + 5)(x - 1) \\ = {x}^{2} - x + 5x - 5 \\ a = {x}^{2} +4 x - 5\)

NOW LET US FIND THE AREA OF THE INNER RECTANGLE.

\(a2 = (x + 1)(x - 4) \\ a = {x}^{2} - 4x + x - 4 \\ \\ a = {x }^{2} - 3x - 4\)

the area of the shaded part is given by

\(a1 - a2 = ( {x}^{2} +4 x - 5) - ( {x}^{2} - 3x - 4) \\ = {x}^{2} + 4x - 5 - {x }^{2} + 3x + 4 \\ = {x}^{2} - {x}^{2} + 4x + 3x - 5 + 4 \\ areashaded = 7x - 1\)

Answer:

\((t+6)(-2t+3)^{\frac{2}{3}}\)

Step-by-step explanation:

\(\textsf{Given expression}:\)

\(5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{5}{3}}\)

\(\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:\)

\(\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{3+2}{3}}\)

\(\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{3}{3}}(-2t+3)^{\frac{2}{3}}\)

\(\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)(-2t+3)^{\frac{2}{3}}\)

\(\textsf{Factor out common term }(-2t+3)^{\frac{2}{3}}:\)

\(\implies (-2t+3)^{\frac{2}{3}}(5t+2(-2t+3))\)

\(\textsf{Simplify}:\)

\(\implies (-2t+3)^{\frac{2}{3}}(5t-4t+6)\)

\(\implies (-2t+3)^{\frac{2}{3}}(t+6)\)

\(\implies (t+6)(-2t+3)^{\frac{2}{3}}\)

The upper limit of the 99% confidence interval for the population mean is 101.0 with one decimal place.

The sample mean of the given grades is:

(80+75+60+98+88)/5 = 80.2

Since we are assuming that the grades follow a normal distribution with a variance of 200, we can use a t-distribution with 4 degrees of freedom (n-1) to construct a 99% confidence interval for the population mean. From the t-distribution table, the t-value for a 99% confidence interval with 4 degrees of freedom is 4.604. The standard error of the mean is:

SE = √(200/5) = 8.944

Therefore, the 99% confidence interval for the population mean is:

80.2 +/- 4.604 * 8.944 / √(5) = 80.2 +/- 20.755

The upper limit of the confidence interval is:

80.2 + 20.755 = 100.955 ≈ 101.0

Thus, the upper limit of the 99% confidence interval for the population mean is 101.0 with one decimal place.

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The correct matches are =

Proxy voting- Allowing someone else to vote one's shares

Board of Directors- the committee that hires, evaluates and monitors the senior managers of the firm

Preemptive right- The right to firstly buy any additional shares that the firm may issue before they are sold to the public

Straight-line voting- each candidate for the board of directors is elected by a majority vote

Cumulative voting- board seats are awarded in proportion to the votes received.

Definitions =

Proxy voting = Proxy voting is when a shareholder delegates their voting rights to another person or entity, known as a proxy, to vote on their behalf. This can be done for various reasons, such as when a shareholder is unable to attend a meeting or wants to entrust their voting decisions to someone else. It does not directly relate to board seats being awarded in proportion to the votes received.

Board of Directors = The Board of Directors is a group of individuals elected or appointed to represent the shareholders and oversee the management of a company. They are responsible for making major decisions, setting company policies, and appointing senior executives. Each candidate for the board of directors is typically elected by a majority vote of the shareholders.

Preemptive right = Preemptive right, also known as the right of first refusal, is a privilege granted to existing shareholders of a company. It allows them to have the first opportunity to purchase additional shares before they are offered to the public. This right helps protect the ownership interests of existing shareholders by giving them the chance to maintain their proportional ownership in the company.

Straight-line voting = Straight-line voting is not a commonly used term in corporate governance. However, based on the given options, it seems to be referring to a voting system where each shareholder is entitled to one vote per share they own. This is the standard method of voting in most corporate elections, where each shareholder's voting power is directly proportional to their shareholding.

Cumulative voting = Cumulative voting is a voting method that allows shareholders to pool their votes and allocate them as they see fit among the candidates for the board of directors. It gives minority shareholders the opportunity to concentrate their votes on fewer candidates and increase their chances of electing a representative to the board. This mechanism helps to ensure a more proportional representation of shareholders on the board.

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The complete question =

Match the following concepts Group of answer choices

Proxy voting [ Choose ] board seats are awarded in proportion to the votes received.

Board of Directors [ Choose ] each candidate for the board of directors is elected by a majority vote

Preemptive right [ Choose ] The right to firstly buy any additional shares that the firm may issue before they are sold to the public

straight-line voting [ Choose ] the committee that hires, evaluates and monitors the senior managers of the firm

cumulative voting [ Choose ] Allowing someone else to vote one's shares

Answer:

A. 12

Step-by-step explanation:

If A and D are congruent, then \(4x - 6 = 42\) which becomes \(4x = 48\) after adding which then solves down to \(x = 12\).

Answer:

\(\frac{6}{5}\)

Step-by-step explanation:

*Perpendicular lines have negative reciprocals slopes*

First, find the slope-intercept form of 5x + 6y = -54:

5x + 6y = -54

-5x          -5x

6y = -5x - 54

/6         /6

y = \(-\frac{5}{6}x\) - 9

y = mx + b

So, the reciprocal slope of m = \(-\frac{5}{6}\) is m = \(\frac{6}{5}\)

Hope this helps!

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

Answer:

34.72

Hope that helps!

Answer:

Your answer is: 34.72

Use long addition to evaluate.

Step-by-step explanation:

Hope this helped : )

Answer:

Step-by-step explanation:

when dividing we really are only multiplying when we flip the second fraction

so keep the first fracion the same and just flip the second one

a = 6

b = 5

c = 3

Answer:

g(x)=(x-4)^2+9

Step-by-step explanation:

The function representing the g(x) is g(x) = (x - 4)² + 9.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given is a function f(x).

f(x) = x²

A horizontal translation makes the function f(x) to f(x ± k), where k is the unit of translation.

And the vertical translation results in f(x) = f(x) ± k.

Here function f(x) = x² has been translated 9 units up.

f(x) → f(x) + 9 = x² + 9

Then it is translated 4 units to the right,

g(x) = (x - 4)² + 9, since the translation is towards right.

Hence the correct answer is g(x) = (x - 4)² + 9.

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By knowing the ratio of ounces of oats to ounces of dried fruit, we will complete the given table, which you can see below:

Fruit (ounces)    Oats (ounces)  

 24                         13.7

 14                           8

 28                          16

 8                            4.6

 49                          28

 42                          24

We know that the ratio of the number of ounces of oats to the number of  ounces of dried fruit is 4 to 7.

This means that if we have x ounces of dried fruit, then we have (4/7) ounces of oats.

So for each value in the given table, we just need to multiply it by 4/7.

Fruit (ounces)    Oats (ounces)  

 24                       24*(4/7) = 13.7

 14                        14*(4/7) = 8

 28                       28*(4/7) = 16

 8                           8*(4/7) = 4.6

 49                         49*(4/7) = 28

 42                         42*(4/7) = 24

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Answer:

14/3(I believe you mean improper fraction)

Step-by-step explanation:

4 mutiply 3 plus 2

Answer:

$16

Step-by-step explanation:

You would just multuply the amount of time and the amount of money it costs.

Answer:

$1

Step-by-step explanation:

4 divided by 4 is 1 like the other person said. You can give them brainliest.

Hope It Helps

Answer:

the answer is 6 hours and 30 minutes

Answer: 32 cups

Step-by-step explanation:

1 quart: 4cups

8 x 4 : 36 cups

Answer:it is the one with a strait line

Step-by-step explanation:

14, 14,median

So option d is right

I hope it helped you

Answer:

you can swap the integer

Step-by-step explanation:

example:

2+3= 5

3+2 = 5

2 * 3= 6

3 * 2 = 6

You can remember the commutative property by thinking of the numbers "commuting," or changing places. The example shows us that "negative two plus positive four" is the same as "positive four plus negative two."

7 out of the 30 individuals—or 25%—would be predicted to own both a dog and a cat for two events based on laws of probability multiplication.

The probability multiplication method can be used to determine the number of persons who own both a dog and a cat if we assume that owning either one is an independent occurrence.

We are aware that 15 out of the 30 people—or 50%—have cats. Also, 12 out of the 30 people, or 40%, are dog owners. The likelihood of owning both a cat and a dog is just the sum of the probabilities of owning both a cat and a dog if we believe that these events are unrelated:

P(having a dog and a cat) = P(having a cat) * (owning a dog)

P (having a dog and a cat) equals (15/30) * (12/30).

P(having a dog and a cat) = 0.25

7.5 out of the 30 individuals—or 25%—would be predicted to own both a dog and a cat. We cannot allow a fraction of a person to possess both a cat and a dog though, as we are dealing with a discrete number of people. As a result, we can round to the next whole number or down. As there cannot be a half of a person in this situation, we would round down to 7 people having both a dog and a cat.

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The population of the city grew most rapidly in the year 1988.

Given, the population of a city is modeled by a function

P(t) = 250/(1 + 480e^-0.8t)

we have to find that when the population is growing most rapidly.

On differentiating, we get

P'(t) = 250/(1 + 480e^-0.8t)²×(-384e^-0.8t)

Again differentiating we get

P''(t) = 96000(e^-1.6t)(-0.8e^-0.8 + 384)

Putting P''(t) = 0, we get

e^0.8t = 0

t = 8

So, the population of the city grew most rapidly in the year (1980 + 8) = 1988.

Hence, the population of the city grew most rapidly in the year 1988.

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SOLUTION:

Step 1:

In this question, we have that the Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis:

From the graph, we can see that:

Step 2:

We need to dilate about the origin by a scale factor of 1/3, then

we have that:

Step 3 :

We need to reflect across the y-axis:

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

From the graph,

a) The original polygon is in colour Red

b) The dilated image of the original polygon is in colour Blue

c) The reflection of the dilated image is in colour Green.

Integrate ∫ x(3/2)lnx dx using integration by parts, decomposing the product of two functions into two parts. Choose u and dv with suitable values, and substitute them into the formula. Simplify, and the final result is 2/5 x(5/2)(ln x - 2/5) + C.

The integration of the given integral ∫ x(3/2)lnx dx requires the use of integration by parts. Integration by parts is a method of integration that decomposes a product of two functions into two parts in order to integrate it.The formula for integration by parts is given as below:∫u dv = uv − ∫v du For integration by parts, we need to find two parts, u and dv in such a way that the derivative of u can be calculated and dv can be integrated easily.

Here, we select the parts u and dv as u = ln x and dv = x(3/2)dx Respective values for u and dv would be u = ln x and dv = x(3/2)dxWe can find du and v for these values of u and dv such that,du = 1/x dxv = 2/5 x(5/2)

Now, we can substitute these values into the formula for integration by parts as shown below.

∫ x(3/2) ln x dx= (ln x * 2/5 x(5/2)) - ∫ (2/5 x(5/2) * 1/x) dx

= (2/5 x(5/2) ln x) - (4/25 ∫ x(3/2) dx)

After this, we can simplify the integral obtained.∫ x(3/2) ln x dx= (2/5 x(5/2) ln x) - (4/25 * 2/5 x(5/2)) + C

= 2/5 x(5/2)(ln x - 2/5) + C

Thus, the final result of the integration of the given integral ∫ x(3/2)lnxdx is 2/5 x(5/2)(ln x - 2/5) + C.

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The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

750 cm (7.5m)is the biggest then its 7m(700 cm) then 77cm(0.77m)and then 0.7m(70 cm)

HOPE THIS HELPS YOU

The probability of advertise footwear is fewer than nine from the given number of pages on catalog is equal to 0.9978( rounded to four decimal places).

Total number of pages = 192

Number of pages of footwear advertised = 28

Number of pages selected randomly = 20

Interested in the number of pages that advertise footwear out of a sample of 20 pages,

The probability of a page advertising footwear is

p = 28/192

    = 0.1458.

Number of pages have advertising footwear is less than 9,

Probability of having 0, 1, 2, 3, 4, 5, 6, 7, or 8 pages advertising footwear out of the 20-page sample.

Use the binomial probability formula,

P(X < 9)

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

We know,

P(X = x) = (ⁿCₓ) × p^x × (1 - p)^(n-x)

sample size n =20

x is the number of pages advertising footwear

(ⁿCₓ) = n! / (x! × (n - x)!)

Using statistical software,

Probabilities and sum them to find the probability of having fewer than 9 pages advertising footwear,

P(X < 9) = 0.9978

Therefore, the probability that fewer than nine pages will advertise footwear on them is 0.9978( rounded to four decimal places).

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The above question is incomplete , the complete question is:

In one of Catalog , footwear advertised on 28 of its 192 catalog pages. Suppose we randomly surveyed 20 pages. We are interested in the number of pages advertised footwear. Each page may be picked up more than once. what is the probability that fewer than nine will advertise footwear on them? (round your answer to four decimal places.)

In the additive model for seasonality, seasonality is expressed as an "additive" adjustment to the average. In the multiplicative model, seasonality is expressed as a "multiplicative" adjustment to the average.

In the additive model for seasonality, the seasonal component is added to the average level of the data. This means that the seasonal effect is considered as a fixed amount that is added or subtracted from the average value. For example, if the average monthly sales for a product is 100 units, and the seasonal adjustment for January is +10 units, then the expected sales for January would be 110 units (100 + 10).

On the other hand, in the multiplicative model for seasonality, the seasonal component is expressed as a proportional adjustment to the average level of the data. This means that the seasonal effect is considered as a percentage change applied to the average value. For example, if the average monthly sales for a product is 100 units, and the seasonal adjustment for January is 10% (0.1), then the expected sales for January would be 110 units (100 * 1.1).

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Answer:

Step-by-step explanation:

let the number be x

-1 + x = 7/5

x = 7/5 +1

x = 12 /5

please mark me as the brainliest

Answer:

x=12/5

Step-by-step explanation:

Answer:

I wanna say A don't count on it

Answer:

{4}

Step-by-step explanation:

first move 7 to RHS in addition

then 4 in RHS in division

Answer:

{-1/2,4}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Difference quotient formula is f(x+h) - f(x) / h

(-3 - 2(x+h)²) - (-3 - 2x²) / h

(-3 - 2(x²+2xh+h²) - (-3 - 2x²) / h

(-3 - 2x² - 4xh - 2h²) - (-3 - 2x²) / h

-4xh - 2h² / h

h(-4x - 2h) / h

-4x-2h