Find the LCM of x2 + x,x2-1,x2-x

The approximate surface area of the cylindrical mailing tube is 276.5 square inches.

To find the surface area of a cylinder, we need to add the area of the two circular bases and the area of the curved surface.

First, we need to find the area of one circular base.

The formula for the area of a circle is A = πr^2, where r is the radius.

Since the diameter is 4 inches, the radius is half of that, which is 2 inches. Plugging that into the formula, we get:
A = π(2)^2
A = 4π

Therefore, the area of one circular base is approximately 4π square inches.

Next, we need to find the area of the curved surface.

The formula for the lateral area of a cylinder is L = 2πrh, where r is the radius and h is the height of the cylinder.

In this case, we know that the length of the cylinder (which is the same as the height) is 20 inches. We also know that the radius is 2 inches.

Plugging these values into the formula, we get:
L = 2π(2)(20)
L = 80π

Therefore, the curved surface area of the cylinder is approximately 80π square inches.

To find the total surface area, we need to add the area of the two circular bases and the curved surface area:
SA = 2(4π) + 80π
SA = 8π + 80π
SA = 88π

Using a calculator, we can approximate this value to the nearest tenth of a square inch:

SA ≈ 276.5 square inches

Therefore, the approximate surface area of the cylindrical mailing tube is 276.5 square inches.

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Im answering so you can give hawks brainliest

Answer:

$12

Step-by-step explanation:

given:

Stefan sells jin a bicycle for $114 and a helmet for $18.

we're gonna add to get the total cost 114 + 18 = $132

The total cost is 110% of what he spent originally to buy the bike and helmet.

divide 110% by 100 to get the answer in decimal which if you calculate is 1.1

now we're gonna make a simple equation and assume what Stefan spends originally is x

1.1 * x = 132

1.1x = 132

(now we want x to be alone so we can find its value so divide both sides by 1.1 (division is the opposite of multiplication if, for example, we have 1.1 - x   1.1 is positive so take it to the other side it'll be negative))

after dividing x=120

therefore, he originally spent $120

and to find how much money Stefan made we're gonna subtract 132-120 = $12

Stefan made $12

Answer:

She should expect 165 jewelry pieces to be damaged.

Step-by-step explanation:

5,500/500 = 11

11 x 15 = 165

The value of N is 25, as the summation of numbers from -23 to 25 will give the sum of 49. This can be found using trial-error method or the arithmetic-progression sum law.

Given that the sum of all integers from -23 to N (including -23 and N) is 49.

Method I: We know that the sum of positive and negative numbers is zero. Therefore, sum of all numbers starting from -23 to +23 will give us 0. Then the next two terms 24 and 25 will give us result 49.

Therefore the series is -23, -22, -21,.......0, 1, 2,.........23, 24, 25.

Method II: -23, -22, -21, ........N forms an arithmetic progression series(A.P) as the common difference is +1.

first term a = -23

common difference d = 1

Sum of N terms = 49

Using formula, Sₙ =(n/2) [2a+ (n-1)d]

                       49 = (n/2) [2(-23) + (n-1)(1)]

                 49 x 2 = n [-46 + n - 1]

                       98 = n [-47 + n]

                       98 = -47n + n²

       n² - 47n - 98 = 0

On solving the quadratic equation, we'll get:

n² - 49n + 2n - 98 = 0 {using middle splitting term method}

n(n-49) + 2(n-49)  = 0

(n+2) (n - 49) = 0

n= -2 or n=49

The total number of terms are always positive, so there must be 49 terms to give the sum as 49.

Counting from -23, the 49th term will be 25. Last term of the series N= 25.

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Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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Answer:

She fills 5/4 or 1 and 1/4 glass

Step-by-step explanation:

1/4 * 5=5/4

The difference in fundraising between incumbents and challengers highlights the significant advantages of incumbency in American politics and the challenges that challengers face in trying to unseat an incumbent candidate.

In the 2020 House races, there was a significant difference in the average amounts raised by incumbents and challengers. According to data from the Center for Responsive Politics, the average amount raised by incumbents was $2.9 million, while the average amount raised by challengers was $676,000.
This discrepancy can largely be attributed to the advantages of incumbency. Incumbent candidates already have established networks of donors and supporters, name recognition, and a record of legislative accomplishments that they can leverage to raise funds. Additionally, incumbents are often able to attract larger donations from political action committees (PACs) and other interest groups who are more likely to support the candidate who already holds the office.
Challengers, on the other hand, often struggle to gain traction in fundraising due to their lack of name recognition and the fact that they are not yet seen as viable candidates. They also face more difficulty in attracting larger donations from PACs and interest groups, as these organizations tend to favor incumbents who are seen as more likely to win.
Overall, the difference in fundraising between incumbents and challengers highlights the significant advantages of incumbency in American politics and the challenges that challengers face in trying to unseat an incumbent candidate.

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Answer:

i think its D

Step-by-step explanation:

Step-by-step explanation:

Easy steps!

The total amount earned by Tanisha will be $180.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tanisha is a waitress at a restaurant. Each day she works, Tanisha will make a guaranteed wage of $40, however, the additional amount that Tanisha earns from tips depends on the number of tables she waits on that day. From past experience, Tanisha noticed that she will get about $14 in tips for each table she waits on.

The amount of money earned by Tanisha in 10 days will be:-

Amount = Fixed Wage + Tip

Amount = 40 + ( 10 x 14 )

Amount = 40 + 140

Amount = $180

Hence, Tanisha will have earned $180 in total.

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C. Plot points C and D and draw a ray through them using C or D as an endpoint.

Answer:

The big pump moves 22 more gallons in 10mins

Step-by-step explanation:

The total the big pump moves is 30 gallons in 10mins because 3x10 = 30

The small pump moves 8 gallons in 10mins becuase 4x2= 8

Its asking for how many more so 30 - 8 = 22 More gallons

The amount of money that Jace would have to pay in total if he goes on 5 rides is; $40

The amount of money that Jace would have to pay in total if he goes on r rides is; 5r + 15

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, Since the price of admission into the park is $15, it means that it is the y-intercept. Thus, c = $15

He pays $5 for every ride and as such this will be the slope. Thus;

Total cost = 5x + 15

where x is number of rides

For 5 rides;

Y(5) = 5(5) + 15

= $40

For r rides, the total cost is;

y(r) = 5r + 15

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Answer:

x=100º

Step-by-step explanation:

The two angles are vertical angles, so they are congruent.

Answer:

B or 4\(\sqrt[]{3}\)

Step-by-step explanation:

I could be wrong as I'm very new to this math but I believe its 4\(\sqrt{3}\)

Answer:

  no solution

Step-by-step explanation:

The Law of Sines tells you the relationship between sides and angles of a triangle.

The Law of Sines tells you ...

  sin(A)/a = sin(B)/b = sin(C)/c

Using the given information, this would tell us ...

  sin(55°)/12 = sin(B)/b = sin(C)/27

Then angle C would be ...

  sin(C) = (27/12)sin(55°) ≈ 1.843

There is no angle whose sine is greater than 1. The triangle we seek does not exist. (Side BC is too short relative to side AB.)

From the class of 28 students, 8 students are in the band and 20 students are not in the band.

Here, the total number of students in Mr Moffit's class = 28

Let us assume that t be the total number of students in the class,

n number of students are in the band,

and m number of students are not in the band.

2/7 of the students are in the band.

So, we get an equation:

n = 2/7 × t

n = 2/7 × 28

n = 2 × 4

n = 8

so, the number of students not in tha band:

m = t - n

m = 28 - 8

m = 20

Therefore, the number of students in the band = 8 and 20 students are not in the band.

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I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Overloading in object-oriented programming enables class methods with different parameter lists and return types to perform distinct tasks based on input parameters, improving readability and reducing code complexity.

In the object-oriented model, if class methods have the same name but different parameter lists and/or return types, they are said to be Overloaded.

In object-oriented programming (OOP), overloading refers to the ability of a function or method to be used for a variety of purposes that share the same name but have different input parameters (a parameter is a variable that is used in a method to refer to the data that is passed to it).In object-oriented programming, method overloading allows developers to use the same method name to perform distinct tasks based on the input parameters. The output of the method is determined by the input parameters passed. This enhances the readability of the program and makes it easier to use because it minimizes the number of method names used for distinct tasks.The overloaded method allows the same class method to be used to execute a variety of operations.

It's a great feature for developers because it lets them write fewer lines of code. Overloaded methods are commonly employed when the same task can be completed in multiple ways based on the input parameters.

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To consider whether this statement is true or not

   ⇒ must determine the number of milliliters in a liter

        ⇒ 1 Liter = 1000 milliliter

To compare both containers, lets set both containers in terms of milliliters

By looking at the data

  ⇒ the 3000-milliliter container holds more than the2-liter container

Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container

  ⇒ False

Answer: False

Hope that helps!

Answer:

False because 2 liters = 2,000 milliliters. Therefore that is not possible.

Answer:

Step-by-step explanation:

58%

7/12 into a percentage

According to the histogram, the percentage of the tournament participants are under the age of 20 is 50%.

A histogram approximately represents a distribution of grouped data with numerical values.

It uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.

Age Group (year)  Number of People

0 to 19                            30

20 to 39                         20

40 to 59                         10

60 to 79                         0

Total                             60

Percentage of ages 0-19  =  30/60 x 100 = 50%

Thus, using the histogram, we can assure the percentage of the tournament participants are under the age of 20 is 50%.

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For the budget constraint X + Y = 12, there is no optimal bundle that maximizes the utility function U(X, Y).

A) To find the optimal bundle, we need to maximize the utility function U(X, Y) subject to the budget constraint 3X + 5Y = 60.

Let's solve this problem using the Lagrange multiplier method:

1. Set up the Lagrangian function:

L(X, Y, λ) = -(X - 7)^2 - (Y - 7)^2 + λ(3X + 5Y - 60)

2. Find the first-order conditions:

∂L/∂X = -2(X - 7) + 3λ = 0

∂L/∂Y = -2(Y - 7) + 5λ = 0

∂L/∂λ = 3X + 5Y - 60 = 0

3. Solve the system of equations:

-2X + 14 + 3λ = 0    --(1)

-2Y + 14 + 5λ = 0    --(2)

3X + 5Y - 60 = 0     --(3)

From equations (1) and (2), we can solve for X and Y:

X = (14 - 3λ) / 2

Y = (14 - 5λ) / 2

Substituting these expressions into equation (3), we can solve for λ:

3(14 - 3λ) / 2 + 5(14 - 5λ) / 2 - 60 = 0

Simplifying and solving the equation, we find λ = -4.

Substituting λ = -4 back into X and Y expressions:

X = (14 - 3(-4)) / 2 = 13

Y = (14 - 5(-4)) / 2 = 9

Therefore, the optimal bundle is X = 13 and Y = 9.

B) To find the optimal bundle for the budget constraint X + Y = 12, we can rewrite it as Y = 12 - X.

Substituting this into the utility function, we have U(X) = -(X - 7)^2 - (12 - X - 7)^2.

To find the optimal bundle, we need to find the maximum value of U(X) by taking the derivative with respect to X and setting it equal to zero:

dU/dX = -2(X - 7) + 2(12 - X - 7) = 0

Simplifying the equation, we find:

-2X + 14 + 2X - 40 = 0

-26 = 0

Since -26 ≠ 0, there is no value of X that satisfies the first-order condition for optimization.

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Step-by-step explanation:

the end time =7:34

Answer:

$113.1

Step-by-step explanation:

which is just 6.5% of 580 times 3

The range of acceptable values for production to continue working of the company without stoppage is 15.85 to 16.15.

Range is the area of fluctuation between the upper and lower limit. The range of the acceptable values is all the values between the upper and lower limit.

Here, a company manufactures 16-oz boxes of cereal.  Now, this boxes are randomly weighted to ensure the correct amount.

As the discrepancy in weight is more than 0.15 oz then the production of the company is stopped.

To proper functioning of the company without stoppage, the limit of the production should be with in 0.15 oz.

The company produce, 16-oz boxes of cereal and the disperancy is 0.15 oz. Thus the value of the lower limit will be,

\(L=16-0.15\\L=15.85\rm \; oz\)

The value of the upper limit will be,

\(U=16+0.15\\U=16.15\rm \; oz\)

Thus, the range will be {15.85-16.15 oz}

Hence, the range of acceptable values for production to continue working of the company without stoppage is 15.85 to 16.15.

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