24 sports drinks cost $29.99 how many sports drinks can be purchased for $50?

Answers

Answer 1

$50 can purchase 40 sports drinks.

Describe Purchase?

A purchase is the acquisition of goods or services in exchange for money or other forms of payment. It is a common transaction that takes place in everyday life and can range from small purchases such as buying groceries, to larger purchases such as buying a car or a house.

When making a purchase, a buyer typically identifies a need or desire for a particular product or service, and then selects a seller or retailer who offers the desired item. The buyer then pays the seller the agreed-upon price, either in cash, by credit card, or through other forms of payment.

Purchases can take place in a variety of settings, including physical stores, online marketplaces, and through person-to-person transactions. The process of making a purchase may involve comparing prices, negotiating with the seller, and evaluating the quality and features of the product or service being purchased.

In addition to individual purchases, businesses and organizations also make purchases to acquire the resources and materials needed to operate and grow. This can include purchasing raw materials, equipment, and services from suppliers, as well as acquiring other businesses through mergers and acquisitions.

Overall, purchases are an important aspect of economic activity and play a crucial role in the functioning of markets and the economy as a whole.

Let's start by finding the cost of one sports drink:

$29.99 / 24 = $1.25 per sports drink

To find how many sports drinks can be purchased for $50, we divide $50 by the cost of one sports drink:

$50 / $1.25 per sports drink = 40 sports drinks

Therefore, $50 can purchase 40 sports drinks.

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Related Questions

in a school orchestra, 2/5 o the students are string players of the string players 5/8 are girls what fractin of all the stuentd in the orchestra are girls who play string instrument.

Answers

1/4 girl string players.

multiply the fractuon to obtain the answer.

(2/5) x (5/8) = total

10/40 = 1/4

you can check intuitively by confirming this number is less than total string players.

2/5 is 40% of students play string.

1/4 is 25% students are girls that play string.

and 5/8 is slightly larger than half. which confirms the same.

how many grams is in a qp

Answers

113.399 grams make up a quarter pound or 0.25 pounds.

The unit of measurement known as a QP, or quarter pound, is frequently used in the sale and distribution of food item measures.

Kilograms equal 2.2046 pounds.

1,000 grams make up one kilogram.

Alternatively, 1,000 grams is 2.2046 pounds.

So, one pound equals x grams.

Divide 1,000 grams by 2.2046 to get 453.597 grams in a pound.

So, one pound is 453.597 grams.

453.597 divided by 0.25 to get 0.25 pounds, or 0.25 pounds, is 113.399 grams.

To achieve precise and consistent outcomes, weight measures are frequently used in cooking and baking. A quarter pound of a culinary item, such as butter or sugar, is also referred to as a QP.

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The Click-O Pen Company produced 1.8×106 pencils each year for 4 years. What was the total number of pencils the Click-O Pen Company produced during those 4 years?

Answers

The Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.

What is the arithmetic operations?

The basic arithmetic operations are the fundamental mathematical operations used in arithmetic, which include:

Addition: combining two or more numbers to find their total or sum.Subtraction: finding the difference between two numbers by subtracting one from the other.Multiplication: finding the product of two or more numbers, which is the result of repeated addition.Division: dividing a number into equal parts or groups.

To find the total number of pencils produced by the Click-O Pen Company during the 4 years, we need to multiply the number of pencils produced each year by the number of years.

We are given that the company produced 1.8×106 pencils each year for 4 years. Therefore, the total number of pencils produced is:

1.8×106 pencils/year × 4 years = 7.2×106 pencils

Hence, the Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.

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Answer:

The Click-O Pen Company produced 1.8 x 10^6 pencils each year for 4 years.

To find the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years:

Total number of pencils produced = (1.8 x 10^6) x 4

= 7.2 x 10^6

Therefore, the Click-O Pen Company produced a total of 7.2 million pencils during those 4 years.

Step-by-step explanation:

Start by identifying the number of pencils produced each year by the Click-O Pen Company. According to the problem statement, the company produced 1.8 x 106 pencils per year.

Next, determine how many years the company produced pencils for. In this case, we know that the company produced pencils for 4 years.

To calculate the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years. This gives us:

Total number of pencils = 1.8 x 106 pencils/year x 4 years

We can simplify this expression by multiplying 1.8 x 4 to get:

Total number of pencils = 7.2 x 106 pencils

Therefore, the Click-O Pen Company produced a total of 7.2 x 106 pencils during the 4-year period.

how to convert 205 lb to kg?

Answers

205 lbs is approximately equal to 92.9864 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

205 lbs =  0.453592 × 205

Multiply the numbers

= 92.9864 kg ( rounded to four decimal places )

Therefore, 205 lbs is 92.9864 kg

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If y is inversely proportional to x, and y = 60 when x = 3, what are the values of y when x = 5 and x = 4?

A
35 and 46


B
20 and 36


C
36 and 45


D
45 and 20

Answers

Answer:

The correct answer is A. 35 and 46. When y is inversely proportional to x, it means that the ratio of x to y remains constant. In this case, when x = 3, y = 60, which means that the ratio of x to y is 3/60. Since the ratio is constant, we can use that ratio to find the values of y when x = 5 and x = 4. When x = 5, y = (3/60) x 5 = 35 and when x = 4, y = (3/60) x 4 = 46.

Answer:

Option A 35 and 46

Step-by-step explanation:

Kirk and martin, two experimental physicists, want to change the diameter of a laser beam while keeping its rays propagating parallel

Answers

Kirk and martin, two experimental physicists, want to change the diameter of a laser beam while keeping its rays propagating parallel so the value of distance l is l = fs - fa.

In a partly ionized plasma with several species, we investigate the propagation of electromagnetic waves (or incompressible waves with little thermal pressure) through the magnetic field. Due of variances in mass and density, each species responds to and hence influences electromagnetic field disturbances differently.

For the first lens , ray of light from distant object are parallel , so image will formed at the focal length of first lens.

For second lens,

object distance (u) = fa + l

image distance (v) = ∞

By lens formula,

1/v - 1/u = -1/fs

u = fs

fa + l = fs

l = fs - fa

Collisions between all of the species complicate the process even further. Based on a multi-fluid treatment and Faraday's and Ampere's laws, including the displacement current, a linear analysis is used to derive the dispersion relation of parallel propagation covering a wide range of frequencies, from magnetohydrodynamics (MHD) waves to light waves, with an arbitrary combination of multiple positively charged species, negatively charged species, and neutral species.

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Complete question:

Kirk and martin, two experimental physicists, want to change the diameter of a laser beam while keeping its rays propagating parallel.

For this set up to work, what must be the distance l ?

The following inequalities represent a system. y ≤ −5x + 2 y < 3x − 1.5 Which of the following graphs represents the system?

Answers

The following is a graph that illustrates the inequality system: (B) The graph displays a solid line with shading below it that goes through the points 0 commas 2, and 1 comma negative 3.

What are inequalities?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.

Hence, inequality emerges from a lack of balance.

A mathematical statement that demonstrates the equality of two expressions is known as an equation, whereas a statement that demonstrates the greater or smaller value of one expression is known as an inequality.

For writing and comprehending an inequality plotted on a graph, there are two (2) main rules in mathematics, and these are as follows:

1. When the inequality symbol is (or), the line on a graph should be solid.

2. When the inequality symbol is (> or ), the line on a graph should be dashed (dotted).

The boundary line is dashed (dotted) and shaded above to indicate that the boundary is not part of the solution, and this must be indicated with the larger than (>) inequality sign.

Moreover, the y-value for this inequality graph meets the x-axis at -1.5.

Therefore, the following is a graph that illustrates the inequality system: (B) The graph displays a solid line with shading below it that goes through the points 0 commas 2, and 1 comma negative 3..

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Complete question:

The following inequalities represent a system.

y ≥ −5x + 2

y > 3x − 1.5

Which of the following graphs represents the system?

A. The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading above the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.

B. The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.

C. The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading above the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading below the line.

D> The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading below the line.

Please Help ASAP 10 POINTS

Answers

The amount of wrapping paper use to wrap the rectangular gift box is 292 ft².

What is the surface area of the rectangular prism?

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Given the data in the diagram;

Length l = 8ftWidth w = 6 ftHeight h = 7 ft

Plug the values into the above formula and find the surface area.

S.A = 2( wl + hl + hw )

S.A = 2( (6×8) + (7×8) + (7×6) )

S.A = 2( 48 + 56 + 42 )

S.A = 2( 146 )

S.A = 292 ft²

Therefore, the surface area of the right rectangular prism is 292 ft².

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The perimeter of a regular hexagon is 90 feet.

What is the area of the hexagon?

rounded to the nearest tenth in the box.

Answers

We know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

What is a hexagon?

A hexagon, also known as a hexagon, is a six-sided polygon that forms the shape of a cube in geometry.

Any simple hexagon has 720° of internal angles in total.

No matter what kind of hexagon it is, they all have six sides.

This implies that all types of hexagons—regular, irregular, concave, and convex—have six sides apiece.

So, we know that the perimeter of the hexagon is 90ft.

Formula: 6a

Then, calculate the side as follows:

P = 6a

90 = 6a

a = 90/6

a = 15

Then, the area of the hexagon:

= 3√3/2a²

= 3√3/2*15²

= 584.56715

Therefore, we know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

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what is 124 lbs to kg?

Answers

Answer: 56.2455

Step-by-step explanation:

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 30 times, and the man is asked to predict the outcome in advance. He gets 22 out of 30 correct. What is the probability that he would have done at least this well if he had no ESP?

Answers

The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.

The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.

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what is grains to grams ?

Answers

Although both grains and grams are weight-measuring units, they are not interchangeable.

The weight of gunshots, arrows, and gunpowder is often measured in the United States using a unit of mass called a grain. A grain weighs around 0.06479891 grams.

In contrast, a gram is a mass unit in the International System of Units (SI) that is often employed in scientific and practical contexts. There are 15.4323584 grains in one gram.

You may multiply the total number of grains by 0.06479891 to convert grains to grams. If you have 500 grains, for instance, you would convert them to grams as follows: 500 grains x 0.06479891 grams per grain = 32.399455 grams.

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you can compare two marginal distributions to see if the corresponding two variables are related. true or false

Answers

The given statement that you can compare two marginal distributions to see if the corresponding two variables are related is false.

What can we infer from the marginal distribution?

In probability theory and statistics, the probability distribution of the variables included in a subset is the marginal distribution of a subset of a collection of random variables. Without taking into account the values of the other variables, it provides the probabilities of different values for each variable in the subset.

Hence, to determine whether the relevant two variables are connected, you cannot compare two marginal distributions.

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Can someone help me on where to put the numbers?

Answers

The linear function on the graph is:

f(x) = -x/4 + 13

And the domain is 0 ≤x ≤43

How to find the linear function?

A general linear function is written as:

f(x) =a*x + b

Where a is the slope and b is the y-intercept.

On the graph we cans ee that the y-intercept is y = 13 (initial amount of gasoline) then:

f(x) = a*x + 13

To find the value of the slope we can use the fact that the line passes through (20, 8), replacing these values we will get:

8 = a*20 + 13

8 - 13 = a*20

-5 = a*20

-5/20 = a

-1/4 = a

So the function is

f(x) = -x/4 + 13

And the domain is the set of possible values of x.

We start at x = 0

And the maximum of the domain is the value such that the fuell is totally consumed, it is:

0 = -x/4 + 13

x/4 = 13

x = 4*13 = 52

The domain is 0 ≤x ≤43

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Megan increases 600 by 10%.
She then decreases the result by 10%
What is her final number?

Answers

Answer:

Her final number is 594.

Step-by-step explanation:

Increase 600 by !0%:

0.1 * 600 = 60

600 + 60 = 660

Decrease result by 10%:

0.1 * 660 = 66

660 - 66 = 594

Her final number would be
549

62 high school students took part in the mathematical olympiad. there were 7 fewer first year students than sophomores, two thirds of the number of third year students, and 5 fourth year students. how many students from each grade took part in the competition?

Answers

Answer:a =  17

b =  24

c =  16

d =  5

Step-by-step explanation:

a+b+c+d=62

a = b-7

c = 2/3·b

d = 5

a+b+c+d = 62

a-b = -7

2b-3c = 0

d = 5

Row 2 - Row 1 → Row 2

a+b+c+d = 62

-2b-c-d = -69

2b-3c = 0

d = 5

Row 3 + Row 2 → Row 3

a+b+c+d = 62

-2b-c-d = -69

-4c-d = -69

d = 5

d = 5/1= 5

c = -69+d/-4= -69+5/-4= 16

b = -69+c+d/-2= -69+16+5/-2 = 24

a = 62-b-c-d = 62-24-16-5 = 17

a = 17

b = 24

c = 16

d = 5

Printer A prints 100 pages for $26.99. Printer B prints 275 sheets for $67.99. Which printer has the better rate of cost per page?

Printer A, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page
Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page
Printer A, because the approximate rate of Printer A, $3.71 per page, is less than the approximate rate of Printer B, $4.04 per page
Printer B, because the approximate rate of Printer A, $3.71 per page, is less than the approximate rate of Printer B, $4.04 per page

Answers

Answer:

Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

Rate of cost for printer A = $26.99/100 pages
= $ 0.2699 ≈ $0.27 per page

Rate of cost for printer B = $67.99/275 pages

=$ 0.2472 ≈ $0.25 per page

0.25 < 0.27

So Printer B has the better rate of cost


Answer:Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

Arunima buys two bouquets for 121. 75 each and candies for2. 25each. If she left with 21. 10,how much money did she have in the beginning

Answers

Knowing that two bouquets of flowers and candies are bought, leaving 21.10, the money at the beginning of the purchase is $266.85.

To find out how much money she had in the beginning, we can use the following equation:
Starting money - (bouquets cost + candies cost) = money left

Let's plug in the given values:
Starting money - ((2 x 121.75) + (2.25 x candies)) = 21.10

Simplifying the equation, we get:
Starting money - (243.50 + 2.25 x candies) = 21.10

Now, we can rearrange the equation to solve for the starting money:
Starting money = 21.10 + 243.50 + 2.25 x candies

If we plug in the given values, we get:
Starting money = 21.10 + 243.50 + 2.25 x candies
Starting money = 266.85

Therefore, Arunima had a total of $266.85 in the beginning.

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What is the discount
for a retail price of $892 and a discount rate of 12%

Answers

Answer: the answer would be

 $ 784.96

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discount rate = 12%

The retail price= $892

The discount = the retail price*the dicount

                      =  12/100*892= $107.4


3.
a) What is the relation between area of rectangle and triangle standing on the same base
and between the same parallel lines? Write it.

Answers

Answer:

when they both are separated they form a right angled triangle 90°

If 3 is added to a number, the result is 2 less than twice that number. Find the number.

Answers

Answer:

x=1

Step-by-step explanation:

To find the value of "x", we can start by setting up an equation based on the information given in the problem:

3 + x = 2x - 2

To solve for "x", we can simplify the equation by subtracting "x" from both sides and adding 2 to both sides:

3 + x - x = 2x - 2 - x + 2

3 = x + 2

Finally, we can solve for "x" by subtracting 2 from both sides:

x = 1

Therefore, the number we're looking for is 1.

A home buyer is debating between two different mortgages for $167,800. The options are: Option A: 20-year fixed rate loan at 7.45% with a total of $323,198.36 paid in principal and interest over the life of the loan Option B: 15-year fixed rate loan at the same rate. How much more total principal and interest will the buyer pay for the 20-year loan versus the 15-year loan? A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used $46,041.05 $44,061.05 $229,893.95 $292,893.95

Answers

The difference in total principal and interest payment between the 20-year loan versus the 15-year loan is B. $44,061.05.

How is the difference determined?

The difference is obtained by computing the total payments for the Option B loan and comparing these to the total payments for Option A loan.

The total payments for Option B can be computed using an online finance calculator that determines also the monthly payments.

Option A:

Mortgage loan = $167,800

Interest rate = 7.45%

Mortgage period = 240 (20 years x 12)

Total payment (Future Value) = $323,198.36

Monthly payment = $1,346.66 ($323,198.36/240)

Option B:

N (# of periods) = 180 months (15 years x 12)

I/Y (Interest per year) = 7.45%

PV (Present Value) = $167,800

FV (Future Value) = $0

Results:

Monthly Payment (PMT) = $1,550.76

Sum of all periodic payments = $279,137.31

Total Interest = $111,337.31

Option A total payment = $323,198.36

Option B total payment = $279,137.31

Difference between the two options = $44,061.05 ($323,198.36 - $279,137.31)

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The side lengths 5, 12, and 13 are called a Pythagorean Triple. What is so special about these three side lengths
The 13 has a "3" in it.
This triple is special because it contains two prime numbers.
The longest side is just one unit longer than the middle side.
They are positive integers that form a right triangle.

Answers

Answer:

D

Step-by-step explanation:

Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else

Use the diagram to find the distance WX across the water

Answers

Answer:

115m

Step-by-step explanation:

Given

In TriangleXYZ

XZ = 23m

ZY = 19m

In TriangleXVW

WV = 95m

Solution

In Triangles XYZ and XVW

AngleWXV = AngleYXZ as they are Vertically Opposite Angles

AngleXWV = AngleXZY as they are Alternate Angles

Therefore TriangleXYZ and TriangleXVW are Similar Triangles

So,

XY/XV = YZ/VW = XZ/XW as they are Corresponding Sides of Similar Triangles

So,

XZ/XW = YZ/VW

or

23/XW = 19/95

23/XW = 1/5

XW = 23 × 5

XW = 115m

Therefore the distance WX is 115m

PLEASE HELP URGENTLY! SEE SCREENSHOT

Answers

Answer:

t= -3r

Step-by-step explanation:

how to convert 0.06 as a fraction?

Answers

The value  0.06  as a fraction is 3/50 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

0.06 *100/100 =3/50

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If iq scores are normally distributed, having a mean of 100 and a standard deviation of 15, approximately what percentage of people have iq scores somewhere between 70 and 130?

Answers

The percentage of people have iq scores somewhere between 70 and 130 is 95.44%.

To solve this problem, we need to standardize the IQ scores and then use a standard normal distribution table or calculator to find the proportion of scores between 70 and 130.

First, we need to calculate the z-scores for IQ scores of 70 and 130, using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean (100), and σ is the standard deviation (15).

For an IQ score of 70:

z = (70 - 100) / 15 = -2

For an IQ score of 130:

z = (130 - 100) / 15 = 2

We can now look up the proportion of scores between -2 and 2 in a standard normal distribution table or calculator. This represents the proportion of scores within two standard deviations of the mean, which is approximately 95% according to the empirical rule of normal distribution.

However, we want to find the proportion of scores between 70 and 130, not between -2 and 2. To do this, we need to subtract the proportion of scores below 70 (which is the same as the proportion below -2) from the proportion of scores below 130 (which is the same as the proportion below 2). The result gives us the proportion of scores between 70 and 130.

Using a standard normal distribution table or calculator, we can find that the proportion of scores below -2 (or 70) is 0.0228, and the proportion of scores below 2 (or 130) is 0.9772. Therefore, the proportion of scores between 70 and 130 is:

0.9772 - 0.0228 = 0.9544

This means that approximately 95.44% of people have IQ scores between 70 and 130.

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what is 24cm in inch?

Answers

24 centimeter is approximately equal to 9.4488 inches ( rounded to four decimal places )

To convert 24 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in centimeter

Substitute the values in the equation

24 cm = 24 x 0.393701

Multiply the numbers

= 9.4488 inches ( rounded to four decimal places )

Therefore, 24 centimeter is 9.4488 inches

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Find the principal argument Arg z when (a) -2/(1 + √3i);
(b) (√3 - i)^6.

Answers

The required answer for the expression -2/(1 + √3i) is Arg (z) = 2π/3. The required answer for the expression (√3 - i)⁶ is Arg (z) = π.

The principal argument is the angle created by the line joining the origin, z, and the positive real axis. A complex number with the expression z = x + i y has the argument form  [tex]\text{Arg}(z)=\tan^{-1}\frac{y}{x}[/tex] when x > 0.

a) Given z=2/(1 + √3i). First, simplify the given expression,

[tex]\begin{aligned}\frac{-2}{1+i\sqrt{3}}&=\frac{-2}{1+i\sqrt{3}}\times\frac{1-i\sqrt{3}}{1-i\sqrt{3}}\\&=\frac{-2(1-i\sqrt{3})}{1^2-(i\sqrt{3})^2}\\&=\frac{-2-2\sqrt{3}i}{4}\\&=\frac{-1}{2}-\frac{\sqrt{3}}{2}i\end{aligned}[/tex]

Now find, the arg of the above expression. Here, x is -1/2 and y is√3/2. We get,

[tex]\begin{aligned}\mathrm{Arg}(z)&=\tan^{-1}\frac{y}{x}\\&=\frac{\frac{\sqrt{3}}{2}}{\frac{-1}{2}}\\&=\tan^{-1}(-\sqrt{3})\\&=\frac{2\pi}{3}\end{aligned}[/tex]

The required answer is Arg (z) = 2π/3.

b) Given (√3 - i)⁶. We know that,

[tex]\begin{aligned}\sqrt{3}-i&=2\left(\frac{\sqrt{3}}{2}-\frac{1}{2}i\right)\\ &=2\times e^{\left(-\frac{\pi}{6}i\right)\end{aligned}[/tex]

Then,

[tex]\begin{aligned}(\sqrt {3} -i)^6&=2^6\times e^{-\pi i}\\&=-2^6\end{aligned}[/tex]

Here, x is -64 and y is 0. Then, tan⁻¹ (0) = 0 = π.

The required answer is Arg (z) = π.

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What is the result of 4000 x 12 ?

Answers

Answer:

I'm positive the answer is 56000

The solution of equation 4000 x 12 is,

4000 x 12 = 48,000

We have to given that,

Expression to solve,

⇒ 4000 x 12

We can multiply it,

⇒ 4000 x 12

⇒ 48,000

Therefore, The solution of equation 4000 x 12 is,

4000 x 12 = 48,000

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