Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi.
Round your answer to the nearest tenths place.

TYPE ONLY THE NUMBER DO NOT INCLUDE THE UNIT

The solution set for this equation S^2-11s can be expressed as 0, 11.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.

Given that S^2-11s, which can be written as S^2-11s = 0 We can factor the expression on the left-hand side to get:

S(S-11) = 0

Then this  equation is satisfied when either S = 0 or S-11 = 0. Thus, the solution set is: S = {0, 11}

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Answer:

Step-by-step explanation:

The concept of absolute value can be used to determine which temperature is warmer between -4.5°C and 3.5°C. Absolute value is a mathematical function that returns the magnitude, or distance, of a number from zero, regardless of whether the number is positive or negative. In other words, the absolute value of a number is always a positive number.

In this case, we can calculate the absolute value of each temperature as follows:

| -4.5°C | = 4.5°C

| 3.5°C | = 3.5°C

The absolute value of -4.5°C is 4.5°C, which is greater than the absolute value of 3.5°C, which is 3.5°C. This means that -4.5°C is further from zero than 3.5°C, and therefore it is a colder temperature. So, the temperature of 3.5°C is warmer than the temperature of -4.5°C.

Therefore, we can use the concept of absolute value to determine which temperature is warmer by comparing the absolute values of the temperatures. The temperature with the greater absolute value is farther from zero, and therefore colder, while the temperature with the smaller absolute value is closer to zero, and therefore warmer.

Every vector b in R3, the equation Ax = b has a solution if every row of A has a pivot.

The statement is true.

True.

If a reduced echelon matrix in R3 is obtained by row operations from a matrix A, then the reduced echelon matrix is in row echelon form and is equivalent to the original matrix A.

If every row of A has a pivot, then every row has a leading non-zero entry in the row echelon form of A.

This means that each row of the row echelon form of A has a pivot, and so the matrix has full row rank.

The number of pivot columns in the reduced echelon matrix equals the row rank of A, which is also the same as the column rank of A.

Vector b in R3, the equation Ax = b has a solution if and only if b is a linear combination of the columns of A.

If A has full column rank, then the columns of A span the column space of A, which means that any vector in the column space can be expressed as a linear combination of the columns of A.

If every row of A has a pivot, then A has full row rank, full column rank, and the columns of A span R3.

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The height of the cylinder, given the volume and the diameter of the base, would be 2, 592.46 feet

The given diameter of the base is 10 inches, so we need to find the radius first. The radius is half the diameter:

Radius (r) = Diameter / 2 = 10 inches / 2 = 5 inches

We also need to convert the radius from inches to feet since the volume is given in cubic feet:

5 inches = 5/12 feet = 0.4167 feet

Volume of a cylinder:

Volume (V) = πr²h

450π = π x (0.4167)^2 x h

450 = (0.4167)^2 x h

h = 450 / (0.4167)^2 = 2, 592.46 feet

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The change in the perimeter is:

= 36m

The side lengths of a triangle are 3 meters,4 meters, and 5 meters.

We have to find the perimeter of the triangle.

Now,

Perimeter of a triangle is sum of all sides.

We have the side's length are:

[tex]P_1[/tex] = 3 + 4 + 5 = 12 meters.

Now, In the second case we have to multiplied the side length by 4.

Side's length are:

3 = 3 × 4 = 12

4 = 4 × 4 = 16

5 = 4 × 5 = 20

Perimeter of a triangle is sum of all sides.

[tex]P_2[/tex] = 12 + 16 + 20

[tex]P_2[/tex] = 48 meters

Now, the change in the perimeter is:

[tex]P_2 - P_1[/tex] = 48 - 12 = 36m

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A right pyramid with an isosceles triangle base has one plane of symmetry.

A plane of symmetry is a plane that can be passed through an object such that the object is divided into two halves that are mirror images of each other.

In the case of a right pyramid with an isosceles triangle base, if a plane passes through the apex (the top point) of the pyramid and is perpendicular to the base, it will bisect the base into two halves that are mirror images of each other. This is the only plane of symmetry that exists for this particular pyramid.

Thus, the right pyramid with isosceles triangle base has one plane of symmetry.

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The percentage increment of the bike is 86%

Percentage Increment is the percentage measurement of how much a certain figure changes or increases over time. It is the difference between the final value and the initial value, expressed in the form of a percentage.

How to determine this

When the price of a bike one year ago was Rs.268,000

i.e Initial value = Rs.268,000

The current price is Rs.290,900

i.e final value = Rs.290,900

To calculate the percentage increment

Percentage Increase = Final value - Initial value/Initial value * 100%

Percentage increase = Rs.290,900 - Rs.268,000/Rs.268,000 *100%

Percentage Increase = Rs.22,900/Rs.268,000 *100%

Percentage Increase = 2,290,000/268,000

Percentage Increase = 86%

Therefore, the percentage increment is 86%

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The surface area of the cylinder to the nearest tenth is 82.2 in²

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

The surface area of cylinder is expressed as;

A = 2πr(r+h) . Where r is the radius and h is the height of the cylinder.

A = 2 × 3.14 × 1.7( 1.7+6)

= 10.68× 7.7

= 82.2 in²( nearest tenth)

Therefore the surface area of the cylinder is 82.2

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Therefore, the can of beans that is the best deal is option b, which has the lowest price per unit volume.

Volume is a measure of the amount of space occupied by an object or a substance. It is often measured in cubic units such as cubic centimeters, cubic inches, or cubic meters. The formula for finding the volume of different objects may vary based on their shape and size, but it typically involves measuring the length, width, and height of the object and multiplying them together.

Here,

To determine which can of beans is the better deal, we need to compare their volumes and prices per unit volume.

The volume of the small can of beans is:

V₁ = πr₁²h₁

= π*(1)²*(3)

= 3π

The price per unit volume of the small can is:

P₁ = $1.49 / 3π

≈ $0.157 per cubic inch

For the other cans of beans, we can calculate their volumes and prices per unit volume:

a. V₂ = πr₂²h₂

= π*(3)²*(9)

= 81π

P₂ = $39.95 / 81π

≈ $0.155 per cubic inch

b. V₃ = πr₃²h₃

= π*(2)²*(3)

= 12π

P₃ = $5.96 / 12π

≈ $0.132 per cubic inch

c. V₄ = πr₄²h₄

= π*(3)²*(3)

=27π

P₄ = $13.41 / 27π

≈ $0.165 per cubic inch

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a) 'The IQR is a better measure of spread for movies than it is for basketball games' best describes how to measure the spread of the data

According to the information provided, the box plots for movies and basketball games indicate that both have the same range of attendance data, with a minimum of 60 and a maximum of 150. However, when comparing the interquartile ranges (IQRs) of the two box plots, it can be seen that the IQR for movies is smaller than the IQR for basketball games.

The IQR represents the middle 50% of the data, and the smaller IQR for movies suggests that the attendance data for movies is more closely clustered around the median than the attendance data for basketball games. Therefore, the IQR is a better measure of spread for movies than it is for basketball games, as it gives a more accurate representation of the variability of the data for movies.

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Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.

Here,

To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:

7 1/4 = 28/4 + 1/4

= 29/4

4 5/12 = 48/12 + 5/12

= 53/12

Now, we can add the fractions:

=29/4 + 53/12

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:

29/4 × 3/3 = 87/12

53/12 × 1/1 = 53/12

Now we have the same denominator, so we can add the numerators:

87/12 + 53/12 = 140/12

We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:

140/12 ÷ 4/4 = 35/3

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After answering the presented question, we may conclude that  expressions As a result, Ms. Jimenez contributes roughly $41.54 to her retirement fund each week.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

We need to do the following to figure out how much money Ms. Jimenez puts into her retirement fund each week:

Ms. Jimenez's yearly retirement fund contribution is calculated as follows:

8% of $27,000 = annual retirement fund contribution

= 0.08 x $27,000

= $2,160

To calculate the weekly retirement fund contribution, divide the yearly payment by the number of weeks in the year:

Contribution to a retirement fund on a weekly basis = Annual contribution to a retirement fund divided by the number of weeks in a year

= $2,160 / 52

≈ $41.54

As a result, Ms. Jimenez contributes roughly $41.54 to her retirement fund each week.

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Joseph must score at least 32 on exam B to do equivalently well as he did on exam A.

To determine how well Joseph must score on exam B in order to do equivalently well as he did on exam A, we need to find the equivalent z-score for his exam A score and then use it to find the corresponding score on exam B.

First, we find the z-score for Joseph's exam A score:

z = (x - mu) / sigma

z = (516 - 600) / 40

z = -2.1

The z-score of -2.1 indicates that Joseph's exam A score is 2.1 standard deviations below the mean.

To find the equivalent score on exam B, we use the formula:

z = (x - mu) / sigma

Solving for x, we get:

x = z * sigma + mu

x = -2.1 * 20 + 76

x = 32

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If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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Jim's daily income must be less than $2 in order for him to be considered impoverished.

Income is an entity's ability to save and spend money during a given period of time, and it usually appears in terms of money. In principle, income can be hard to establish, and there may be variations depending on the field.

According to the World Bank's definition, there are two categories for impoverished people's salaries:

a) Moderate Poverty - A person is deemed to be in moderate poverty if their daily income is less than $2.

b) Extreme Poverty - While a person is deemed to be living in extreme poverty if they make less than 1.2 dollars per day.

Jim's daily wage must be less than $2 in order for him to be classified as impoverished.

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Answer:

C. 15 + 18x ≥ 95

Step-by-step explanation:

Given: She has $15 saved so far

She earns $18.00 for each lawn she mows (each lawn she mows = x)

The inequality has to be greater or equal to $95.00, so she can have enough to buy a pair of shoes.

15 + 18x ≥ 95

The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.

A fraction is a percentage of an entire amount or a ratio of two numbers. It is a means to express a numeric value that is neither a whole number nor an integer. The number at the top of a fraction is called the numerator, while the number at the bottom is called the denominator. The denominator is the entire amount of elements of the entirety or the ratio's divisor, while the numerator is the portion that makes up the entirety or ratio that is being evaluated.

given

We must factor the first fraction's numerator and discover a shared denominator for the two fractions in order to simplify this expression:

(p² + 17p + 70) / 9p³ + 63p² * 3 / (p + 10)

= (p + 10)(p + 7) / 9p³ + 189p² / (p + 10)

= (p + 10)(p + 7); 9p3 + 189p2; (p - 10)/(p + 10); (p - 10)

= 189p2(p - 10)/9p3(p + 7)/9p3(p + 10) (p - 10)

= [(p + 10)(p + 7) + 21p²(p - 10)] / 9p³(p - 10) (p - 10)

= [(p² + 31p - 140) / 9p³(p - 10)]

The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.

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Answer:i thing the anwser is 56

Step-by-step explanation:

Answer:

To find the value of Clare's home in 2006 after an 18% increase, we can use the following formula:

Value in 2006 = Value in 2001 x (1 + Percent Increase)

Plugging in the values given in the problem, we get:

Value in 2006 = $135,000 x (1 + 0.18)

Simplifying this expression, we get:

Value in 2006 = $135,000 x 1.18

Value in 2006 = $159,300

Therefore, Clare's home was worth $159,300 in 2006 after an 18% increase in value from its original price of $135,000 in 2001.

Jow will need to pay a commision of $7.50. The total amount charged by the broker will be $17.50

Joes current portfolio is worth $50,000

A purchase price one share =  $15

He wants to purchase 50 shares of a company's stock

Using unitary method the cost of 50 shares would be,

C = 50 × 15

C = $750

Since his portfolio is less than $100000 the amount chanrged by the broker would be equal to the 1% commision plus fees per trade.

First we find the commision.

1 percent of $750

= 1/100 × 750

= $7.5

And the fees per trade = $10

So, the total amount charged by the broker = $10 + $7.5

                                                                     = $17.5

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Find the complete question below.

Answer: - 3x - 21

Step-by-step explanation:

All you have to do is distribute the -3

-3 multiplied by x is -3x

and -3 multiplied by +7 is -21

put it together

- 3x - 21

1) The value of an equation for y in terms of x is, y = 1/5x

And, y = 20 at x = 100

2) y = 184.8 , at x = 14

The value of an equation for y in terms of x is, y = 13.2x

Given that;

1) y is directly proportional to x.

2) y ∝ x and y=132 when x=10

Now, For 1;

1) Since, y is directly proportional to x.

Hence, We get;

y = kx

Plug y = 5 and x = 25

5 = 25k

k = 1/5

Hence, The value of an equation for y in terms of x is,

y = 1/5x

And, Plug x = 100,

y = 1/5 x 100

y = 20

2) Since,  y ∝ x and y=132 when x=10

y = kx

132 = 10k

k = 13.2

Hence, At x = 14;

y = 13.2 x 14

y = 184.8

Thus, The correct equation is,

y = 13.2x

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As per the unitary method, the chef has 9.14 pounds of celery left after cutting up 3 pounds to serve with chicken wings and dicing 8 ounces to put on garden salads.

To start, let's convert all of the weights to the same units. The chef bought 4 bunches of celery, each weighing 2 pounds, so in total she bought:

4 bunches * 2 pounds per bunch = 8 pounds

Next, we know that she used 3 pounds of celery for the chicken wings and 8 ounces (which is half a pound) for the garden salads. So in total she used:

3 pounds + 0.5 pounds = 3.5 pounds

To find the value of one pound of celery, we can subtract the amount of celery the chef used from the total amount of celery she bought, and then divide by the number of pounds she bought:

(8 pounds - 3.5 pounds) / 8 = 0.4375 pounds per pound

So one pound of celery is worth 0.4375 pounds. Now we can use this value to find out how many pounds of celery the chef has left. We know she started with 8 pounds of celery, and she used 3.5 pounds, so she must have:

(8 pounds - 3.5 pounds) / 0.4375 pounds per pound = 9.14 pounds left

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Answer:

Step-by-step explanation:

angle L is 106 degrees

x= 2

angle LMK is 37 degrees

its equal, you can check by adding up all the angles to 360 degrees

The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.

The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.

The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.

This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.

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Answer:

(- 2, 16 )

Step-by-step explanation:

y = 8x + 32 → (1)

y = - 8x → (2)

substitute y = 8x + 32 into (2)

8x + 32 = - 8x ( add 8x to both sides )

16x + 32 = 0 ( subtract 32 from both sides )

16x = - 32 ( divide both sides by 16 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

substituting into (2)

y = - 8(- 2) = 16

solution is (- 2, 16 )

Answer:

6.

solution:

8+5=13

8×5=40

The chemist should use 3.75 liters of the 4% acid solution and 1.25 liters of the 28% acid solution to make 5 liters of a 10% acid solution.

Let's denote the volume of the 4% acid solution as x and the volume of the 28% acid solution as y, both in liters.

To make a 10% acid solution, we need to mix the two solutions in such a way that the resulting mixture has a total volume of 5 liters, and the concentration of acid in the mixture is 10%.

Since we want 5 liters of the final mixture, we can write the following equation based on the conservation of volume:

x + y = 5

The total amount of acid in the final mixture should be 10% of the total volume of the mixture, so we can write the following equation:

0.04x + 0.28y = 0.1(5)

On simplifying:

0.04x + 0.28y = 0.5

From the first equation:

y = 5 - x

Substituting into second equation:

0.04x + 0.28(5 - x) = 0.5

Simplifying and solving for x:

0.04x + 1.4 - 0.28x = 0.5

-0.24x = -0.9

x = 3.75

Using first equation,

x + y = 5

3.75 + y = 5

y = 1.25

Therefore, she needs to use 3.75 liters of the 4% acid solution and 1.25 liters of the 28% acid solution to make 5 liters of a 10% acid solution.

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The circle graph would be the best graphical representation for the given scenario as it effectively shows the proportion of students who preferred each subject.

For the given scenario where the teacher gathered data from a random sample of 100 students in a particular school and wants to represent the preferred subject of the students, the most appropriate graphical representation would be a circle graph or a pie chart.

A circle graph is a circular chart that is divided into sectors, where each sector represents a portion of the whole.

In this case, each sector can represent the percentage or number of students who preferred a particular subject. The circle graph is suitable when we want to show the proportion of different categories or data that add up to a whole.

On the other hand, a stem-and-leaf plot, histogram, and box plot are usually used to represent quantitative data, such as measures of central tendency (mean, median, mode), range, and distribution.

They are not ideal for categorical data like the preferred subject of students.

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