A manufacturer of corrugated metal roofing wants to produce panels that are u = 48 in. wide and 2 in. thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave with equation y = sin(pi x/12). Find the width w of a flat metal sheet that is needed to make a 48-inch panel. (Use your calculator to evaluate the integral correct to four significant digits.) in.

Answers

Answer 1

To manufacture a panels that are u = 48 in. wide and 2 in. thick with the profile of the roofing takes the shape of a sine wave with equation y = sin(pi x/12) from flat sheet, the width of the flat sheet would be 49.59in.

Therefore the answer is 49.59

To find the arc length of a continuous function, you need to first define the function and the interval over which you want to find the arc length. Then you can use the following formula:

Arc Length = ∫√(1+(f'(x))^2) dx

Here, f(x) is the function and the interval is [a, b].

The width, w of the flat metal sheet needed to make the panel is the arc length of the sine curve from x = 0 to x = 48in

In this case, f(x) = sin(pi x/12), so the derivative of f(x) is

f'(x) = (pi/12)cos(pi x/12)

Arc Length = ∫√(1+((pi/12)cos(pi x/12))^2) dx from x=0 to x=48

Arc Length ≈ 49.59 in

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Related Questions

which expressions are equivalent to -6+3(2+(-4t) choose all that apply A)-12t , B) 12t-12, C) none of the above

Answers

The correct answer is A) -12t.

To evaluate this expression, we need to use the order of operations. The order of operations is a set of rules that specifies the sequence in which operations should be performed in a math expression to get the correct result. The order of operations is typically abbreviated as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Following the order of operations, we first need to evaluate the expression inside the parentheses, which is 2+(-4t). This gives us 2-4t. Next, we need to perform the multiplication, which gives us 3(2-4t) = 6-12t. Finally, we need to perform the addition, which gives us -6+6-12t = -12t. Therefore, the expression -6+3(2+(-4t)) is equivalent to -12t.

Option B) 12t-12 is incorrect because the multiplication and addition operations are not performed in the correct order.

Option C) none of the above is incorrect because the correct answer is A) -12t.

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Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 26 square​ kilometers, what is the population of the​ region?

Answers

The population of the region is 1300 people.

How to calculate the population?

It should be noted that population simply means the number of people on a particular region or area. Population density is the number of people per unit of area.

Since the population density of a certain region is 50 people per square kilometer and the region covers 26 square kilometer, the population will be:

= Number of square kilometers × Number of region

= 50 × 26

= 1300

The population is 1300 people.

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Abag contains n beads. 6 of the beads are red and the rest are blue. Ravi is going to take at random 2 bead

Answers

The number of beads if A bag contains n beads. 6 of the beads are red, and the rest are blue. Ravi is going to take random 2 beads, is 18.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

A bag contains n beads. 6 of the beads are red, and the rest are blue. Ravi is going to take random 2 beads,

The probability of same color beads = 9 / 17

Calculate the probability as shown below,

ⁿ⁻⁶C₂ / ⁿC₂ + ⁶C² / ⁿC₂ = 9 / 17

(n - 6) (n - 7) / 2 / n(n - 1) / 2 + 15 / n(n - 1) / 2  =  9 / 17

8n² - 212n + 1224 = 0

Solve for the value of x as shown below,

x = 18

Thus, the number of beads is 18.

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3) n+ 5(n-1) = 7
4) 15=-2(2t - 1)

Answers

Let’s begin with question 3.

1. Simplify

n + 5n - 5 = 7
6n - 5 = 7

2. Add 5 to both sides

6n = 12

3. Divide by coefficient

n = 2

Onto question 4!

1. Simplify

15 = -4t + 2

2. Subtract 2 from both sides

13 = -4t

3. Divide by coefficient

t = -13/4

Answer:

3. n = 2

4. t = -13/4

Step-by-step explanation:

3)

. . . . (3a) Distribute (multiply) +5 into the expression (n-1)

. . . . . . . . [tex]n + 5n - 5 = 7[/tex]

. . . .  (3b) Add like terms (terms with the same variable)

. . . . . . . . [tex]6n - 5 = 7[/tex]

. . . . (3c) Add 5 on both sides of the equation to "get rid" of the -5

. . . . . . . . [tex]6n -5 +5 = 7 +5[/tex]

. . . . . . . . [tex]6n = 12[/tex]

. . . . (3d) Divide both sides by 6 to isolate the variable

. . . . . . . . [tex]6n/6 = 12/6[/tex]

. . . . . . . . [tex]n = 2[/tex]

4)

. . . . (4a) Distribute (multiply) -2 into the expression (2t-1)

. . . . . . . . [tex]15 = -4t + 2[/tex]

. . . . (4b) Subtract 2 on both sides of the equation to "get rid" of  the +2

. . . . . . . . [tex]15 -2 = -4t +2 -2[/tex]

. . . . . . . . [tex]13 = -4t[/tex]

. . . . (4c) Divide both sides by -4 to isolate the variable

. . . . . . . . [tex]13/-4 = -4t/-4[/tex]

. . . . . . . . [tex]-13/4 = t[/tex]

Who has invented India?

Answers

Vasco da Gama has invented India

An invention is a brand-new or original product, process, composition, idea, or tool. A device, item, or method can be improved using an invention to boost functionality or cut costs. It could also be a brand-new idea. An concept can be patented if it is distinctive enough, either as a stand-alone innovation or as a major improvement over the work of others. 

Portuguese explorer Vasco de Gama becomes the first European to reach India via the Atlantic Ocean when he arrives at Calicut on the Malabar Coast.

Da Gama sailed from Lisbon, Portugal, in July 1497, rounded the Cape of Good Hope, and anchored at Malindi on the east coast of Africa. With the aid of an Indian merchant he met there, he then set off across the Indian Ocean. The Portuguese explorer was not greeted warmly by the Muslim merchants of Calicut, and in 1499 he had to fight his way out of the harbor on his return trip home. In 1502, he led a squadron of ships to Calicut to avenge the massacre of Portuguese explorers there and succeeded in subduing the inhabitants. In 1524, he was sent as viceroy to India, but he fell ill and died in Cochin.

hence Vasco da Gama has invented India

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Vasco da Gama has invented India

In July 1497, Vasco da Gama set sail from Lisbon, Portugal, crossed the Cape of Good Hope, and stopped at Malindi on the continent's east coast. He then embarked on a journey across the Indian Ocean with the help of an Indian merchant he met there. The Muslim traders of Calicut did not welcome the Portuguese explorer with open arms, and on his way back to Portugal in 1499, he had to fight his way out of the harbor. He successfully subdued the locals in 1502 after leading a fleet of ships to Calicut to revenge the massacre of Portuguese explorers there. He was appointed viceroy of India in 1524 but passed away in Cochin after becoming unwell.

How many terms are there in 4xy 5?

Answers

The number of terms that the expression 4xy  +5 has is 2 terms.

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

How to determine terms?

To determine the number of terms in an algebraic expression, we only have to count the spaces (addition and/or subtraction symbols) and add the unit, in this way we will have the number of terms.

4xy +5 has 2 spaces

1 + 1 = 2 terms.

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if f(x)=(2x)^2, find f(-4)

Answers

Answer:

y=32

Step-by-step explanation:

substitute x for (-4)

(2 x -4)^2= 32

What mixed number is equal to 11/6?

Answers

Answer:

1 5/6

Step-by-step explanation:

Take 11 divided by 6; we can have 1 number 6 and 5/6 left. So, the answer is  1 5/6

Let's test:

1 5/6 = 11/6

So, my answer is correct!

Answer: 1 ⅚

1 ⅚ is the mixed number that would equal to 11/6.

A recipe calls for 112 1 1 2 teaspoons of cinnamon to make 2 dozen oatmeal cookies. How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?.

Answers

Fraction [tex]3 \frac{3}{4}[/tex] teaspoons of cinnamon are needed to make 60 oatmeal cookies.    

Given that,

A recipe calls for [tex]1\frac{1}{2}[/tex] teaspoons of cinnamon to make 2 dozen oatmeal cookies.

A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts. For example, ½ represents half of a whole number or a thing.

Then,

We will find number of teaspoons needed to make one oatmeal cookies.

1 dozen = 12

2 dozens = 24

So,

We can write,

[tex]1\frac{1}{2}[/tex] divide by 24,

Convert mixed fraction into improper fraction:

[tex]\frac{3}{2}[/tex] divide by 24

Convert to division problem by flipping the second fraction as:

= [tex]\frac{3}{2}[/tex] * [tex]\frac{24}{1}[/tex]

= [tex]\frac{3}{48}[/tex]

= [tex]\frac{1}{16}[/tex]

Now, we will multiply amount needed for one cookie by 60 to find amount needed to make 60 cookies as:

= [tex]\frac{1}{16}[/tex] * 60

= [tex]\frac{15*4}{4*4}[/tex]

= [tex]\frac{15}{4}[/tex]

= [tex]3 \frac{3}{4}[/tex]

Therefore,  

Fraction [tex]3 \frac{3}{4}[/tex] teaspoons of cinnamon are needed to make 60 oatmeal cookies.

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Is it possible to make an equation from these two equations? If so, do they have infinite solutions, no solutions, or one solution?


Consider the mathematical sentence 2 = 2.

Is there any variable or constant that you could add to or subtract from both sides, or multiply or divide both sides by using the Properties of Equality to make this true sentence false? Choose variables and constants to create new mathematical sentences to justify your conclusion


Consider the mathematical sentence 2 ≠ 3.

Is there any variable or constant that you could add to or subtract from both sides, or

multiply or divide both sides by using the Properties of Equality to make both sides equal? Choose variables and constants to create new mathematical sentences to justify your conclusion.

Answers

Answer:

For the equation 2 = 2, it is not possible to make this equation false by using the Properties of Equality. This is because the equation is already true, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has one solution.

For the equation 2 ≠ 3, it is not possible to make both sides equal by using the Properties of Equality. This is because the equation is stating that the two sides are not equal, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has no solutions.

What are special segments of a triangle?

Answers

There are Four special line segments of a triangle.

SPECIAL LINE SEGMENTS OF TRIANGLES

The four special line segment of a triangle are ,

Angle bisectorPerpendicular bisectorMedianAltitude

Let's see about mentioned segment in detail,

1.) Angle Bisector :

The angle bisector divides an angle into two equal parts. 

2.) Perpendicular bisector :

A line that cuts through the middle of a side and is also perpendicular to that side is known as a triangle's perpendicular bisector.

3.) Median :

A line segment connecting a vertex to the middle of the other side is the median of a triangle.

4.) Altitude :

A triangle's altitude is defined as a line segment passing through its apex and parallel to (or at a right angle to) the side that is deemed to be its base.

For more clarity see the image given below.

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please help it’s due today by 10pm

Answers

The size of the angle C is θ = 56°, given that BC and DE are tangents to the circle.

Tangent to a circle theorem

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

Considering the Isosceles triangle ∆AOB and its exterior angle ∠BOD;

∠BOD = 180° - 2(48) {exterior angle of a triangle equals 2 opposite interior angles}

∠BOD = 96°

If the line DE is extended to line BC at E' we will have a quadrilateral BODE' and a triangle ∆CE'D, hence;

∠B = ∠D = 90° (angles between radius and lines tangent to the circle)

so;

∠BOD + ∠OBD + ∠ODE' + ∠BE'D = 360° {sum of interior angles of a quadrilateral}

96° + 90° + 90° + ∠BE'D = 360°

276° + ∠BE'D = 360°

∠BE'D = 360° - 276° {subtract 276° from both sides}

∠BE'D = 84°

Considering triangle ∆CE'D;

∠DE'C = 180° - 84° {sum of angles on a straight line}

∠DE'C = 96°

We thus derive θ using the triangle ∆CE'D;

θ = 180° - (28 + 96)° {sum of interior angles of a triangle}

θ = 180° - 124°

θ = 56°

In conclusion, we have derived the size of the angel θ as 56° by proper application of the tangent to a circle theorem.

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In the figure, j∥k and m∠2 = 117°.

What is the m∠3?

Enter your answer in the box. |__|

Answers

Step-by-step explanation:

angle3 is the supplementary angle to angle2.

that means together they are 180°.

180 = 117 + angle3

angle3 = 180 - 117 = 63°

What two arguments did Mary Wollstonecraft?

Answers

Both men and women have duties to their families and duties to the state.

According to Wollstonecraft, women are important to the country because they educate their children and because they have the potential to be "companions" to their husbands rather than merely spouses. She also contends that women should have an education appropriate to their status in society.

She asserts that in God's view, men and women are on an equal footing. But these affirmations of equality conflict with her assertions that the strength and bravery of males are superior. It is now challenging to label Wollstonecraft as a modern feminist due to her equivocal views on gender equality.

Wollstonecraft differs from the majority of her male Enlightenment contemporaries because of her emphasis on the rights of women.

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According to her, men and women are treated equally in God's eyes. However, these claims of equality run counter to her claims that men are stronger and bolder than women. Due to Wollstonecraft's conflicted opinions on gender equality, it is currently difficult to categorize her as a modern feminist.

Wollstonecraft's emphasis on women's rights sets her apart from the rest of her male Enlightenment peers.

HELP
Michelle jogs 3 miles in 36 minutes. At the same rate, how many miles would she jog in 60 minutes?
A. 6.5

B. 6

C. 4.5

D. 5
Explain you work pls

Answers

Answer:

d) 5 miles

Step-by-step explanation:

Minutes for jogging 1 mile is,

→ 36/3

→ 12 minutes

Formula we use,

→ Total time ÷ Time needed for 1 mile

Then the distance she cross in 60 min,

→ 60 ÷ 12

→ 5 miles

Hence, she will cross 5 miles.

The sum of present age of father and son is 50years.After 5years the age of father is thrice the age of son .Find their present age

Answers

Answer:

age of father is 40 and son is 10

Step-by-step explanation:

let age of father be x

and age of son is y

At present,

x+y=50 eq 1

After 5 years,

Ages are,

Father = x+5

Son = y+5

As age of father is thrice so,

x+5 = 3(y+5)

x+5 = 3y+15

x-3y= 10 eq 2

Multiply eq 1 by 3

3x + 3y = 150 eq 3

Now, Add eq 2 and 3

4x = 160

x = 40 .................... ....... Age of father

Put x in eq 1

40 + y = 50

y = 10 ......................... Age of Son

Which financial tool is most important?

Answers

The financial tool that is most important is creating a budget.

What is the financial toll about?

The ideal financial instrument for long-term planning objectives is You'll be able to set away money each week or month with the use of a budget.

You may track where your money is going and determine how much you have to spend on items besides expenses by utilizing a budget.

A budget can help you prioritize your spending and saving, and ensure that you have enough money set aside to reach your goals. Here is a step-by-step explanation of how to create a budget:

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How do you tell if a system has no solution or infinitely many?

Answers

The system of linear equations are said to have no solution if they are parallel to each other or have infinitely many solutions if they are coincident.

Considering two system of equations:

y1 = mx +c and  y2 = px+ q.

The lines are said to be parallel if their slopes m and p are equal but the y intercepts c and q are not equal. Which further concludes that the system of equations has no solution.

The lines are said to be coincident if their slopes m and p are equal along with the y intercepts c and q being equal. And hence we conclude that the system of equations have infinitely many solutions.

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How much paint do I need for 2200 square feet?

Answers

6 cans are needed to paint an area of 2200 units square.

The cans of paints and areas are illustrations of equivalent ratios.

The quantity of paint required for a certain area of house can be found out using the area of the house.

As the area is given in this problem, it is easier to calculate the amount of paint.

The given parameter is,

Cans: area = 1: 400

Putting it in the form of fraction,

Cans/area = 1/400

Cross multiplying, we have,

Cans = 1/400 × 2200 = 5.5 ≈ 6

Thus, 6 cans are needed to paint a 2200 square feet.

The question is incomplete. The complete question is 'How many cans of paint are needed to cover an area of 2200 square units if one can of paint covers in area 400 square units.'

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A jazz band wants to sell $2,800 worth of tickets. If each ticket costs $70, how many tickets will the band have to sell to meet its goal?

Answers

The band will have to sell 40 tickets to meet its goal.

Answer:

40 tickets

Step-by-step explanation:

2800 = 70x

x is the number of tickets. You have to solve for x

Divide each side by 70

2800/70 = 70x/70

40 = x

Convert 400 liters per day to gallons per week show work

Answers

Answer:

400 liters per day is equivalent to 105.66 gallons per week.

Step-by-step explanation:

To convert from liters per day to gallons per week, we need to use the conversion factors for these units. One gallon is equivalent to 3.785 liters, and one week is equivalent to 7 days.

We can use these conversion factors to write the following conversion equation:

1 gallon/week = (3.785 liters/gallon) / (7 days/week)

We can then use this equation to convert 400 liters per day to gallons per week by multiplying the number of liters per day by the conversion factor. This gives us:

400 liters/day * (1 gallon/week) / (3.785 liters/gallon) / (7 days/week)

We can simplify this expression by canceling out the units that appear on both the numerator and denominator. This gives us:

400 / 3.785 / 7 = 105.66

Therefore, 400 liters per day is equivalent to 105.66 gallons per week

4(2x + 5) = [ ]x + [ ]

rewrite using the distributive property

Answers

Answer:

Step-by-step explanation:

first you do 4 x 2x=8x

next you do 4 x 5=20

then you get 8x + 20  :)

given a coordinate of (2, -12) and a slope of -19, what is the second coordinate?

ANWSER NEEDED ASAP

Answers

The second coordinate are ( 7 , 2 )

What is the formula for finding a slope?To determine a line's inclination or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.m = (y2 - y1)/ is the slope formula (x2 - x1)Write the equation of the line in slope-intercept form to determine the slope from the equation. Utilize inverse procedures to find y, then write it as y=mx+b. Since the slope is the x variable's coefficient, or the number before x, you can thus readily observe the slope.

Given data :

Formula of slope, m = (y2 - y1)/(x2 - x1)

y2 - ( -12 ) / x2 - 2 = -19 / 1

To get -19 / 1

we have to apply suitable no to y2 & x2

7 - (-12) / 3 - 2 = -19 / 1

so, the second coordinate are ( 7 , 2 )

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What is the solution of y 3x 5?

Answers

The linear equation y = 3x + 5 has an infinitely many solutions.

Define the term solution of linear equation?

We looked for as many solutions as possible to the given equation.

y = 3x + 5 is a linear equation with two variables as of ax + by + c = 0.

Thus,

Put x = 0, y = 0 + 5 = 5. Thus, (0, 5) is one solution.Put x = 1, y = 3 × 1 + 5 = 8. Thus, (1, 8) is another solution.Put y = 0, 3x + 5 = 0, x = -5/3. Thus, (-5/3, 0) is another solution.

We are aware that for various values of x, we obtain varied values for y. As a result, any value that may be used to replace x with in given equation will result in another answer. As a result, there are an infinite number of unique solutions that can be derived by replacing x in the above linear equation with real numbers.

A linear equation with two variables hence has an endless number of solutions.

y = 3x + 5 thus has an endless number of solutions.

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The correct question is-

What is the solution of y =  3x + 5?

Lamonte earned $269.10 at his job when he worked for 13 hours. How much money did he earn each hour?

Answers

Answer:

Step-by-step explanation:

To solve this problem, we need to divide the total amount of money Lamonte earned ($269.10) by the number of hours he worked (13 hours).

We can write this as an equation as follows:

earnings per hour = $269.10 / 13 hours

To solve for earnings per hour, we can divide both sides of the equation by 13:

earnings per hour = $269.10 / 13 hours / 13 = $269.10 / 13^2 = $269.10 / 169 = $1.60

Therefore, Lamonte earned $1.60 per hour.

Lamonte earned $20.70 per hour. Just do this by taking 269.10 and dividing it by 13.

Is physics 100 hard?

Answers

Yes, it is hard but with a lot of practice and putting effort one cam also find it easy.

Why physics is hard?

Physics requires the ability to solve problems, which can only be acquired via practice. In addition to these difficult ideas, there are theoretical concepts, mathematical calculations, and laboratory experiments.

How to deal with physics?

It is better to comprehend the derivations than to memorize the formulas. Making a mess of several formulas will just increase your anxiety over the topic. Instead, if you strive to comprehend where they originate, you will begin to appreciate physics and its applications.

Physics is a difficult topic since it combines science and arithmetic, which may be challenging for the best of us. Nevertheless, despite how difficult it is, you can achieve if you follow a few simple guidelines and put yourself through some practice.

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a restaurant offers the following limited lunch menu. main courses: turkey, spaghetti, meatloaf, shrimp, hamburger vegetables: peas, squash, cauliflower, eggplant beverages: coffee, tea, milk, soda, shakes desserts: sundaes, mousse, pie, brownies if one item is selected from each of the four groups, in how many ways can a meal be ordered? there are ways a meal can be ordered

Answers

800 ways meal be ordered.

There are 5 main courses to choose from, so there are 5 ways to choose a main course. There are 4 vegetables to choose from, so there are 4 ways to choose a vegetable. There are 5 beverages to choose from, so there are 5 ways to choose a beverage. And there are 4 desserts to choose from, so there are 4 ways to choose a dessert.

The total number of ways to order a meal is the product of the number of choices for each category.

So there are 5 * 4 * 5 * 4 = 800 ways to order a meal.

Hence, 800 ways meal be ordered.

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What is the variance if the standard deviation is 4?

Answers

Standard deviation is the root of variance, hence the variance is 16.

the primary function of jails is to: group of answer choices a. hold persons for less than 1 year. b. hold persons for more than 1 year. c. hold persons for more than 5 years. d. hold persons for more than 10 years.

Answers

The jail's function is to hold inmates (A) for terms that are shorter than a year.

What do we mean by jails?

A prison sometimes referred to as a jail, jail, penitentiary, detention center, correction center, correctional institution, lock-up, hoosegow, or remand center, is a place where people are imprisoned against their choice and typically denied a range of freedoms as retribution for various offenses.

The only purpose of a jail is to house inmates for a period of time shorter than a year.

With very few exceptions, modern jails are municipal or county-level detention centers run by local police departments or correctional facilities.

Like their historical forebears, they are employed to hold those who pose a flight risk or a threat to public safety while they await trial.

Therefore, the jail's function is to hold inmates (A) for terms that are shorter than a year.

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What is the value of 994 1/3 According binomial theorem?

Answers

The value of 994 to the power 1/3 is 9.97.

The binomial theorem involves the method of expanding an expression which is raised to a finite power. A binomial theorem has its application in probability, algebra, etc.

A binomial expression is said to have two dissimilar terms.

The total number of terms in (x + y)ⁿ are n+1.

The expansion of (1 + x)ⁿ can be written as,

(1 + x)ⁿ = 1 + nx + [n*(n-1)]/2! x² + [n*(n-1)*(n-2)]/3! x³ + ....

Let us find the value of 994 to the power 1/3,

⇒ (993 + 1)¹/³

⇒ 1 + 993/3 + 993* 993* [1/3* (-2/3)]/2! + 993* 993* 993* [1/3* (-2/3)* (-5/3)]/3! + ...

⇒ 1 + 331 - 54780.5 + 60441151.67 - ...

⇒ 9.97

Thus, the required value is 9.97.

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Why did they call themselves the Redeemers? Those that work in the Printing Technology pathway are typically-self-employed, and work indoors.-self-employed, and work outdoors.-not self-employed, and work outdoors.-not self-employed, and work indoors. A firm that holds a monopoly position in the market place is ____. A. a price makerB. a price takerC. monopolistically competitiveD. subject to infinite market forces how many shapes are drawn based on the code below? def drawshapes(centerx, centery, radius, points, color): star(centerx, centery, radius, points, fill Use the drawing tool(s) to form the correct answer on the provided graph. The graph of function f(x)=|x| is vertically stretched by a factor of 2, shifted 6 units down, and then shifted 4 units to the right. Draw the transformed function on the provided graph. What is the author's main purpose for including this paragraph quizlet? The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days: Temperature, x | 72 85 91 90 88 98 75 100 80 No. of absences, y | 3 7 10 10 8 15 4 15 5 a) Find the equation of the regression line for the data. b) Assuming that the variables x and y have a significant correlation, what is the predicted number of absences when the temperature is 91? c) Calculate the correlation coefficient. d) Calculate the standard error for the model. What two factors shape the meaning of something in a culture? Which of the following skills would a digital librarlan need that a traditional librarian would not necessarily need?O web developmentO information organizationcustomer serviceO research skills A firm trained its customer service representatives who handled telephone inquiries to handle walk-in customers as well. The firm was engaging in ____.A. Job designB. Job enlargementC. Scientific managementD. Job enrichmentE. Job rotation Why is CO2 a problem for the environment? Which Company Has The Most Efficient SG&Amp;A / Sales Ratio? Select: 1Save Answer Chester Andrews Digby Baldwin 3. How technology and innovation influence culture (Connect, Perform)Use your knowledge of innovation to select the term that best completes each sentence.The first mobile phone is an example of .Use your knowledge of innovation to select the term that best fits each scenario or description.When smart phones first came out, companies tried to identify what apps they could create to combine with them to enable new things like compasses, maps, and mobile ticket purchasing. What type of innovation do these apps represent?An incremental innovationA systems innovationA radical innovationChoose the answer that best completes each sentence.Because workgroups develop their own , intranets build a common cultural foundation that can help unify employees in different units and locations around common company values. Using for loop,write a program that accepts a series of genders from a class of 10 students and count the number of female and male students in the class(c++ programming)Output:in the file Solve the system for x and y. 2y = x + 9 2y 11 = 2x why did the sans-culottes call on the national convention to make terror the order of the day? Can two different square have equal area? What is classification of information system? How do you write all real numbers for a range? Did Beowulf sleep with Grendel's mother?