A bookstore owner has 15 different books to arrange on the shelves in a display case. Each shelf can display 3 books.In how many different ways can the owner arrange 3 books on the top shelf of the display case

The Volume of largest Right Circular Cylinder that can be inscribed in Sphere of radius 3 cm is 65.3 cm³  .

Let the half height of of the cylinder be = h ;

we use h instead of [tex]\frac{h}{2}[/tex] for easier simplification ,

In order to find the Volume of cylinder , we multiply the area of  top with the total height of cylinder .

So , Volume = [tex]\pi \times (Radius Of Cylinder)^{2}\times (Height Of Cylinder)[/tex]

Volume = [tex]\pi \times (\sqrt{r^{2} -h^{2} } )^{2}\times (2h)[/tex];

Volume [tex]= 2\pi h(r^{2} -h^{2} )[/tex]

Now ,  we need the derivative of volume function and equate to 0. If we move the h inside parenthesis, we only need to use power rule to get  derivative.

So , we get , V = [tex]2\pi (r^{2} h-h^{3} )[/tex] ,

On simplifying further ,

we have ,

Volume of Largest Right Circular Cylinder  ⇒ [tex]\frac{4\sqrt{3} \pi r^{3} }{9}[/tex] ;

it is given that radius of sphere is = 3 cm ,

Substituting value of radius in Volume formula ,

we get ,

V =  [tex]\frac{4\sqrt{3} \times 3.14\times 3^{3} }{9}[/tex] ;

V = 65.2636 cm³

V ≈ 65.3 cm³.

Therefore , the volume of the largest right circular cylinder is 65.3 cm³.

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Answer:

37?

I am SO sorry if this is wrong

Answer:

B 20 is the Q2 of the set shown above

Answer:

thx

Step-by-step explanation:

Answer:

It should be 14400 square inches. Sorry if i'm wrong

The value of ES will be;

⇒ ES = 10.63 units

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Now,

Since, The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Hence, The value of ES is find as;

⇒ ES = √ (4 - (-3))² + (4 - (-4))²

         = √ 7² + 8²

         = √ 49 + 64

         = √ 113

         = 10.63

Thus, The value of ES = 10.63 units

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x = 448, which is the greatest of these integers.

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers.

This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.

According to our question-

added together =1341

x +  x-1 + x-2 =1341

3x-3  = 1341

3x = 1344

x = 448

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Step-by-step explanation:

Find angle W first:

37 + 93 + W = 180 ---> W = 50°

Use sine law to find the length w:

w/(sin 50) = 31/(sin 37)

w = 31(sin 50/sin 37)

= 39.5

There are 3 two topping sundaes possible.

It is not crucial to choose the toppings in any particular sequence. For instance, a caramel and strawberry topping is the same as a chocolate and  caramel topping. To answer this question, we thus apply the combinations formula.

Mixtures Formula:

C,n,x  is the amount of various ways there are to combine x items from a set of n components, as determined by the formula below.

Cn,x = n! / x!(n-x)!

sundaes with two toppings are possible

2 of a set of 3 toppings (chocolate, caramel and strawberry). So

C3,2 = 3! / 2! (3 - 2)! = 3.

Three two-topping sundae combinations are conceivable.

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2x2+4x5=0 is a quadratic equation that can be solved. 2 x 2 + 4 x - 5 = 0. To find the answers, start with the quadratic formula.

Using the quadratic formula, determine the roots of the quadratic equations 2x2-3x-5= 0. The equation's roots must be located. As a result, the equation's roots are 5/2 and -1. Which equation with 2 as a root must be identified. As a result, 2 is not a root of x2-4x + 5= 0.

Since 2 is not a root, x2 + 3x-12= 0 cannot be solved. Thus, 2 is the root of the equation 2x2-7x + 6= 0. The roots of the quadratic equation ax2 + bx + c= 0 are real and equivalent if the discriminant is equal to zero (b2-4ac=0), a, b, and c are real values, and a0. The roots in this situation arex= -b/2a.

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If a train travels 283. 8km in 4. 4 hours, the train travels 71km in 1 hour and the train travels 114.5km in 2.5 hours.

Based on the assumption that the train is traveling at a constant speed throughout its journey.

To find the speed the train travels , we divide the total distance by the total time:

speed = 283.8km/ 4.4 hours

speed = 64.5 km/h

To find the distance the train travels , we multiply the speed of the train by the total time:

Distance travelled in 1 hour = 64.5 km/ hour × 1 hour

Distance travelled in 1 hour = 64.5 km

Distance travelled in 2.5 hours = 64.5 km/hour x 2.5 hours

Distance travelled in 2.5 hours = 161.25km

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Answer:

I'm pretty sure it's 97

Step-by-step explanation:

I made three shapes 2 rectangle and 1 triangle

8/10 liters of water she spilled. This can be solved using the concept of fraction.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

Given that,

There were 57/10 liters of water in a bucket than she spilled some so she added another 15/10, now she get:

(57/10) + (15/10) = 72/10

After that, there was 64/10 liters of water in the bucket, now she spilled:

(72/10) - (64/10) = 8/10

So, 8/10 liters of water she spilled.

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The opposite of number 27 is -27

We know that the opposite of a number is nothing but the number which is at the same distance from 0 but in the opposite direction on a number line.

Here we have been givena number 27

Let a number 'p' be the opposite of number 27

If we plot 27 on the number line then we can observe that it is  located to the right of 0 on the number line.

So, from the definition of opposite of a number p would be at the same distance from 0  i.e., 27 units but in the opposite direction on a number line.

so, the number p would be -27

Therefore, -27 is opposite of 27

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Answer:

all this for five points, you're not serious

Answer:

5

Step-by-step explanation:

I just did it

Answer:

This is one of my specialties so sit back, relax while I work on this for 5 mins :)

Step-by-step explanation:

The formula is a^2 + B^2 = c^2

Sooo

7^2 + 5^2 = c^2

49 + 25 = 74

√74 = √c^2

8.60232526 = c

8.60232526 rounded to the nearest tenth is 8.6

So there you go. Hope it helps!!

This is a coordinate pair of a point. 2 and 3 denotes X and Y coordinate respectively.

The system that is used to represent the location of points in the space is termed as coordinate system. There are two types of coordinate system such as polar and cartesian. In case system there are two reference axes which are perpendicular to each other.

In the cartesian system points are represented with respect to a vertical axis named Y axis and a horizontal axis named X axis.

We stated earlier that in the cartesian system a location of a point is identified by a pair of numerical terms.

So, 2, 3 indicates a pair of numerical terms. 2 denotes the X coordinate of the point and 3 denotes the Y coordinate of that point.

In the next, the distance of the point from X axis is 3 unit and distance from Y axis is 2 unit.

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Complete question is: In the point (2,3) which point denotes the y-coordinate.

The solution of the equation is x = 6, y = 0.

1. Subtract the two equations:

   x3y6 - 2x3y12 = 0

2. Simplify both sides of the equation:

   x3y - 2x3y = 0

3. Simplify further calculations:

   x3(y - 2y) = 0

4. Factorize the expression:

   x(y - 2y) = 0

5. Solve for x:

   x = 0

6. Substitute x = 0 into either equation:

   3y = 6

7. Solve for y:

   y = 2

8. Substitute y = 2 into either equation given above:

   x = 6

The solution of the equation is x = 6, y = 2.

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Answer:

12.165525 is the answer

Answer:

these two apply:

10x + 12 = 38 and

10x = 26

Step-by-step explanation:

7x+6+3x+6 = 38

10x + 12 = 38

10x = 26

x = 2.6

Answer:

The answer is 13.5

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

To find a variable in volume with 2 lengths and the total, you divide the volume by the 2 lengths.

4x8=32

112/32=3.5

DOUBLE CHECK:

3.5x4=14

14x8=112

---

hope it helps

The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.

Given: The generic version was created based on the brand name and was three eighths the size of the brand name.

12 inches by 24 inches is the size of the standard television set.

Allowing for x by y as the brand name's measurements

12 inches divided by three eighths

8/3 x = 12

x = 12 * 8 / 3 = 32 inch

and y=3/8 inches equals 24 inches

8/3 y = 24

y = 24 * 8 / 3 = 64 inch

As a result, the brand-name television has the following measurements: 32 by 64 inches.

Therefore, choice (C) is the appropriate response.

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The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was  the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

a) 7.5 inches by 15 inches

b) 28 inches by 56 inches

c) 32 inches by 64 inches

d) 4.5 inches by 9 inches

The total number of pairs of shoes produced should be 500 (the maximum possible production). The profit per day should be maximized, so we need to solve the following system of equations:

2x + 1y ≥ 100 (the number of high-grade shoes should be at least 100)

x + y = 500 (the total number of pairs of shoes produced should be 500)

Solving for x and y, we get:

x = 400 (high-grade shoes)

y = 100 (low-grade shoes)

Therefore, the factory should produce 400 pairs of high-grade shoes and 100 pairs of low-grade shoes for maximum profit.

To optimize a factory's production process to maximize profit, the factory should focus on increasing efficiency and reducing costs. This can be done by streamlining processes, automating tasks, and utilizing data-driven decision making. Additionally, the factory should focus on reducing waste, lowering overhead costs, and developing cost-saving strategies. Finally, the factory should focus on finding new markets and expanding its customer base to increase revenue.

The break-even point for a factory is the point where total revenue equals total costs. This can be calculated by subtracting the total variable costs (costs that change with production, such as raw materials and labor) from the total fixed costs (costs that are not affected by production, such as rent, insurance, and equipment). The difference is the break-even point, which is the total revenue needed to cover all costs and generate a profit.

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Answer:

-972

Step-by-step explanation:

The next number in the sequence would be the previous number multiplied by 3.

-4*3 = -12

-12*3 = -36

-36*3 = -108

-108*3 = -324

-324*3= -972

Hope this helps! :)

Answer:

yes, it uses the Associative Property

Step-by-step explanation:

The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.

When the two lines makes angle of 90 degree , then the lines are known as Perpendicular Lines .

What are Perpendicular Lines ?

Two lines are said to be perpendicular to each other if the straight line  makes an angle of 90 degree with another line. 90 degree is also called a Right Angle and is represented by a little square between two perpendicular lines .

when the two lines intersect at a right angle, they are said to be perpendicular to each other.

For Example : In a football field all the four corners of a football field are perpendicular to each other.

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According to question we can say that 1% percent of people are ambidextrous.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

Let 'x' represent the percentage of left-handed people.

Let y represent the percentage of right-handed people.

Let z represent the percentage of ambidextrous people.

x = y/100

100x = y

y/100 = 9( x/100 + z/100)

y = 9x + 9Z

10x = 9x + 9z

x = 9z

x+y+z = 100

11x + x/9 = 100

100x/9 = 100

x = 9

z = 1%

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Answer:

90 cups

Step-by-step explanation:

Number of cups needed = 30 / (1/3) cups

                                          = 90 cups

Thought process:

1 cup -> 1/3 ounce

3 cups -> 1 ounce

? cups -> 30 ounce

Hence, ? = 30 x 3

                = 90