A right cylinder and an oblique cylinder have the same radius and the same height. How do the volumes of the two
cylinders compare?
A. The volumes are the same, based on Cavalieri's principle.
B. The volumes are not the same, because Cavalieri's principle does not apply to oblique solids.
C. The volumes are not the same, because the two solids do not have the same cross-sectional
area at every level parallel to the bases.
D. The volumes are not the same, because an oblique solid has less volume thanits corresponding
right solid with the same height.

The expression (x+9) (x+3) ​in the simplified expanded form will be x² + 12x + 27.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (x+9) (x+3) ​

Simplify the expression, then we have

⇒ (x+9) (x+3) ​

⇒ x (x+3) ​+ 9(x+3) ​

⇒ x² + 3x + 9x + 27

⇒ x² + 12x + 27

The expression (x+9) (x+3) ​in the simplified expanded form will be x² + 12x + 27.

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The shortest distance between planet Q and planet R is 1.64 * 10⁷ km

An equation is an expression that shows the relationship between variables and numbers.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given as:

hypotenuse² = adjacent² + opposite²

From the diagram, QR is the shortest distance between planet Q and planet R. Hence using Pythagoras:

QR² = QP² + PR²

QR² = (3.6 * 10⁶)² + (1.6 * 10⁷)²

QR = 1.64 * 10⁷ km

The shortest distance is 1.64 * 10⁷ km

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Answer:

134 + 48 = 182

182 + x = 335

x = 153

Answer:

153

Step-by-step explanation:

335-134=201

201-48=153

The algebra properties are as follows: associative property , distributive property, identity property, inverse property.

As given in the question,

Properties of the algebra are as follow:

1. Associative property :

Let a, b, c be the three expressions

a. For addition:

( a + b ) + c = a + ( b + c )

b. For multiplication :

a × ( b × c ) = ( a × b ) × c

2. Distributive property:

Let a, b, c be the three expressions

For multiplication over addition:

a ( b + c ) = ab + ac

3. Identity property:

a. For addition:

a + 0 = a

b. for multiplication :

a × 1 = a

4. For inverse

For addition:

a + ( -a ) = 0

For multiplication:

a × ( 1 /a) = 1

Therefore, the four properties of the algebra are associative property , distributive property, identity property, inverse property.

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Answer:

D

Step-by-step explanation:

to find the 10th term substitute n = 10 into the rule, that is

2(10)² + 3

= 2(100) + 3

= 200 + 3

= 203

the 10th term is 203

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

This is defined as the ratio of distance to time taken usually in kilometers per hour, miles per hour.

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

How to write equation

Distance Saul biked = 300 kilometers

Number of hours it takes train travel = t

Speed of train travel (kilometers per hour) = r

Speed = Total distance travelled / Time taken

r = 300 / t

Equation that represents how many hours

Make t the subject of formula

r = 300 / t

cross product

r × t = 300

t = 300/r

Therefore,

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

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In an ordered pair (x,y), the x-coordinate comes first, followed by the y-coordinate. The x-coordinate represents the horizontal position of the point on a coordinate plane and the y-coordinate represents the vertical position of the point on a coordinate plane.

For example, in the ordered pair (4,3), 4 is the x-coordinate, and it represents the horizontal position, and 3 is the y-coordinate, and it represents the vertical position of the point (4,3) on a coordinate plane.

The derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

The given equation is x/y + y/x = 3y.

To find the derivative of y with respect to x (Dy/Dx), we will use implicit differentiation.

First, we will take the derivative of both sides of the equation with respect to x:

(1/y) * (Dy/Dx) + (1/x) * (Dy/Dx) + (y/x^2) * (Dx/Dx) = (3)(Dy/Dx)

We can simplify this expression by combining the terms with Dy/Dx and Dx/Dx:

(Dy/Dx)(1/y + 1/x + 3) = (y/x^2)(Dx/Dx)

Now we can solve for Dy/Dx by rearranging the equation:

Dy/Dx = (y/x^2)(Dx/Dx) / (1/y + 1/x + 3)

Finally, we can plug in our known values and solve for Dy/Dx:

Dy/Dx = (x/y)(Dx/Dx) / (3y - x - y)

Therefore, the derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

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The answer choices which represent equations which model the total yards of fabric Sophie will buy is; x + y = 28, 28 - x = y and 28 - y = x.

As evident in the attached table, where x represents the yards of red fabric she buys and y represents the yards of blue fabric she buys.

It follows that the following x and y pairs are possible; (1, 27), (2, 26), (3, 25) and (4, 24).

On this note, it can be inferred that in each of the red and blue fabric pairs; x + y = 28.

Consequently, the required equations which model the total yards of of fabric Sophie will buy are; x + y = 28, 28 - x = y and 28 - y = x.

Complete question; The given answer choices are; x+y=28, 28+x=y, x-y=28, 28-x=y and 28-y=x.

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Answer:

x+y=28
28-x=y
28-y=x

Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.

Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.

Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.

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Answer:

yes, it is linear

Step-by-step explanation:

the x is +3 to each one, and the y is -1 to each one, this keeps it linear

Answer:

-4 and -4

Step-by-step explanation:

Answer:

A, B, C, and G

Step-by-step explanation:

f(0)=75 is true because that's the y-intercept

f(30)=100 is true

f(20)=175 is true

f(0)=0 is not true because we already identified f(0) as 75

f(x)=100 when x=20 is not true because we already identified f(20) as 175

f(10)<f(5) is not true because looking at the graph, f(10)>f(5)

f(10)=f(15) is true because the graph is constant between the two points

Answer:I often do is just see how many terms in there if is only have two that will be Binomial, if it was three therm I will just think that probably trinomial, only have one that will be the monomial, more than 3 term i will think it just polynomials.

Answer:

A

Step-by-step explanation:

using BODMAS

3×7=21+2=23

A table of values basically lists the values of y for the given line given the values of x.

A table of values is a graphic organizer or chart that enables you to choose two or more points from which to make your graph.

Here is an illustration of a table of values for the equation y = 2x + 1.

Put x = 0, y = 1

Put x = 1, y = 3

The method to solve table of values are-

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Answer:

Table of Values of a Function displays the table of values for the given function.

Step-by-step explanation:

The procedure to use the table of values of a function calculator is as follows:

Step 1: Making a table of values allows you to graph a line using a slope-intercept form equation.

Step 2: To determine the coordinate point's corresponding y-values.

Step 3: Choose a few x values and enter those values into the equation.

Step 4: Create a graph and plot the points.

To draw the line, join the points together.

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Answer:

X = 10

Step-by-step explanation:

According to the mathematical notations, we can say that in this case, Antonhy's reasoning is incorrect, because the expression abc is only one term and not three as he stated.

It corresponds to a term that has letters and numbers, which are separated only if there is a mathematical sign between them, such as the plus or multiplication sign, for example, to be an expression of three terms, the expression should be like this:

Therefore, we can consider that the term abc corresponds to a monomial, as it is only one term in an expression, and not three as supposed by Anthony.

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The account balance after 9 years is $528.28. The result is obtained by adding the interest to the initial deposit.

The simple interest of an amount of money can be counted by the following formula.

I = P₁ - P

I = P × r × t

Where

We have

Find the final account balance!

After 9 years, the simple interest of the savings is

I = P × r × t

I = $425.00 × 2.7% × 9 years

I = $3,825.00 × 0.027

I = $103.28

The final account balance would be

I = P₁ - P

$103.28 = P₁ - $425.00

P₁ = $425.00 + $103.28

P₁ = $528.28

Hence, after 9 years, the account balance would be $528.28.

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The value of the mathematical expression is 2x + 1/2

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical statement is give as

Subtract (5x + 1/3) - (3x - 1/6)

When this is represented as an expression

We have the following representation

(5x + 1/3) - (3x - 1/6)

Open the brackets

So, we have the following representation

5x + 1/3 - 3x + 1/6

Collect the like terms

So, we have the following representation

5x - 3x + 1/3 + 1/6

Evaluate the like terms

2x + 1/2

Hence, the expression is 2x + 1/2

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Answer: The expression (st)(6) means to substitute the value of 6 into the function (st) which is the composition of two functions s and t. The order of applying the functions is crucial, so the first function s will be applied to the result of the second function t after being applied to the 6. So the correct equivalent of (st)(6) is s(t(6))

Step-by-step explanation:

In Number line, -4  is the opposite of the opposite of point D.

What does a math number line mean?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals. A number line can be used to represent every number in a sequence. Both endpoints of this line continue indefinitely.

                         The terms "number line" and "number grid" both refer to horizontal straight lines with numbers arranged along them at equal intervals. Some will have a defined beginning and end.

 Value of D = 4

   Opposite of point D = -4

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On solving the provided question, we can say that volume of cylinder  =  [tex]\pi r^2h[/tex] = 13564.8

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

volume of cylinder  =  [tex]\pi r^2h[/tex]

[tex]\pi[/tex] = 3.14

r = 15 cm\

h = 18 cm

V = [tex]3.14*15*16*18[/tex] = 13564.8

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Answer: Depending on you mean I have answers for them so I hope one of them is for what your looking for.

Answer:

Step-by-step explanation:

Use the speed formula:

[tex]s = \frac{d}{t}[/tex]

The runner travelled 1 yard in 6  minutes.

[tex]s = \frac{1\:yard}{6\:minutes}\\s = 0.166...7[/tex]

Hope this helps!