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The nearest whole number, the volume of the composite figure is 1140 in^3.

The composite figure consists of two rectangular prisms. The first prism has dimensions 8 in. x 4 in. x 18 in., and the second prism has dimensions 10 in. x 4 in. x 18 in.

To find the volume of the composite figure, we need to subtract the volume of the hollow cylinder from the volume of the two rectangular prisms.

The volume of a rectangular prism is calculated as follows:

Volume = length x width x height

The volume of the first rectangular prism is therefore:

Volume = 8 in. x 4 in. x 18 in. = 576 in^3

The volume of the second rectangular prism is therefore:

Volume = 10 in. x 4 in. x 18 in. = 720 in^3

The volume of a cylinder is calculated as follows:

Volume = π * radius^2 * height

Since the cylinder in the middle of the prism is hollow, we only need to consider the volume of the cylinder wall. The radius of the cylinder is 1 in., and the height of the cylinder is 18 in. Therefore, the volume of the cylinder wall is:

Volume = π * 1 in.^2 * 18 in. = 56.52 in^3

The total volume of the composite figure is therefore:

Volume = (576 in^3 + 720 in^3) - 56.52 in^3 = 1140.48 in^3

To the nearest whole number, the volume of the composite figure is 1140 in^3.

Answer:

statistical, not statistical, not statistical

Step-by-step explanation:

Answer:

1. statical, 2. not statical, 3. not statical

Step-by-step explanation:

Answer:

The answer would be that All the powers have a value if 1 because the exponent is zero.

Step-by-step explanation:

Use the exponent rule to help you

Answer:

it is 1

Step-by-step explanation:

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The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)

Transformation is the process of changing the position of an object in a xy-plane.

Given the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)

The coordinate of S using the rule is (-4, 2)

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The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Transformation of coordinates

Transformation is the process of changing the position of an object in a xy-plane.

Given,

the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)

The coordinate of S using the rule is (-4, 2)

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Answer:

see explanation

Step-by-step explanation:

The x- intercept is where the graph crosses the x- axis, that is

( [tex]\frac{1}{3}[/tex], 0 )

The y- intercept is where the graph crosses the y- axis, that is

(0, 1 )

Answer:

the answer is B

Answer:

A

Step-by-step explanation:

P = 2 (W+L)

P = 2 (x+9+x-1)

P = 2 (2x+8)

P = 4x+16

The equation P = 4x+16 describes the perimeter, P, of the rectangle in terms of x. The correct answer would be option (A).

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

A rectangle has a length of x + 9 and a width of x - 1.

P = 2 (L + W) ....(i)

Substitute the values of L = x + 9 and W = x-1 in the above equation,

P = 2 (x+9+x-1)

P = 2 (2x+8)

P = 4x+16

Thus, the equation P = 4x+16 describes the perimeter.

Hence, the correct answer would be an option (A).

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Answer: There were 220 robberies in Springfield in 2010

Step-by-step explanation: If the robberies were reported to be down 20% and the new figure is 176, it simply means the figure 176 depicts 80% (or 0.8) of the figure from year 2010.

We shall take the figure in year 2010 as x, which is 100% (or 1.0) and year 2011 is 176 which is 80% (or 0.8). What we now have is;

176/x = 0.8

176/x = 4/5

By cross multiplication we now have;

(176 x 5)/4 = x

880/4 = x

220 = x

Therefore, there were 220 robberies in Springfield in 2010

Answer: There were 220 robberies in Springfield in 2010.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given.

Since the robberies decreased 20%, it means that 2011 are robberies are the 80% (100%-20%) of the 2010 robberies (x).

So if we multiply the yearly robberies in 2010 (x) by 0.8 (decimal form, 80/100=0.8) , we obtain the number of yearly robberies in 2011 (176).

x (0.80) = 176

Solving for x

x = 176/0.8

x = 220  robberies (2010)

Answer:

The length of each side of the square is 4 mm

Step-by-step explanation:

AS we can see that , it is said that it is as square so all sides of a square are equal

Area(A)= 16 square millimetres

Length (L) = ?

or

[tex]L^{2}[/tex] = Area

[tex]L^{2}[/tex] = 16

L = [tex]\sqrt{16}[/tex]

L =[tex]\sqrt 4^{2}[/tex]

Therefore L = 4 mm

Hope it will help :)

Answer:

Thats and area of a circular cylinder

Step-by-step explanation:

yeah thats all

Answer:

Eduardo did not use the correct formula for the circumference.

Step-by-step explanation:

I was on the same question as you and guessed the assignment said this was the correct answer.

Answer:

Circle's area = 28,26 km

Formula = π r²

Step-by-step explanation:

[tex]circle's \: \: area = \pi \: {r}^{2} \\ circle's \: \: area = 3,14 \times {3}^{2} \\ circle's \: \: area = 28,26 \: km \\ circle's \: \: area = 28.260 \: m[/tex]

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1

Answer:

8.5

Step-by-step explanation:

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1

Answer:

The measure of f m∠X and m∠Y =180 i.e they are supplementary angles.

Step-by-step explanation:

Given:

Two angles

To Find:

Relationship between them

Solution:

For two angles to have relationship ,we need to know what represents in the figure

Here no terms are used to represent the angles

So two angles can be represented in sum of angles of triangles ,

as Consider a triangle XYZ then

X +Y=180 -Z

This will be representation

Otherwise,

Then could be linear ,interior alternate angle or supplementary angles

Which they adds up to 180 degree.

Depending upon the Condition representation will be establish.

Now,

m∠X and m∠Y=180............Supplementary angles. will be most effective .

Answer:

m∠X + m∠Y = 180°

Step-by-step explanation:

Answer:

Ben 3 times older than Daniel

Step-by-step explanation:

Multiply 3 times 4

Answer:

23

Step-by-step explanation:

here

9 and 14. are numbers

sum is 9 +14 = 23

Answer:

√25

Step-by-step explanation:

√25 is a perfect square and simplifies to 5.

A rational number is any number that can be expressed as a quotient or fraction of two integers, with the denominator not equal to zero. Among the options, √25 is the only rational number as it equals to 5 which can be expressed as a fraction (5/1). The others are not rational as their square roots are not exact whole numbers.

The question is asking which number among the given options is a rational number. Rational numbers can be any number that can be expressed as a quotient or fraction p/q of two integers, with the denominator q not equal to zero. In this case, we need to find out which of the square root numbers is rational.

The square of √25 is 25, so √25 equals to 5 which is surely a rational number, because it can be expressed as a fraction 5/1. So, the rational number from the given options is √25.

The square roots of the other numbers are not exact whole numbers and therefore aren't rational numbers. For example, √32, √50, and √63 are approximately 5.66, 7.07, and 7.94 respectively, and these cannot be expressed as exact fractions.

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Answer:

the meaning of logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Step-by-step explanation:

: )

Answer:

1.37

Step-by-step explanation:

First, we want to isolate the variable x. Do this by dividing both sides by 9:

[tex]\frac{9x^2}{9} =17/9[/tex]

[tex]x^{2} =17/9[/tex]

Now, square root both sides:

[tex]\sqrt{x^2}= \sqrt{17/9}[/tex]

x = [tex]\sqrt{17/9} =\sqrt{17}/3[/tex]

Finally, we can use a calculator to finish off the problem:

x = [tex]\sqrt{17}/3[/tex] ≈ 1.37

Hope this helps!

9x^2 = 17

Divide both sides by 9

X^2 = 17/9

Take the square root of both sides

X = sqrt(17/9) and -sqrt(17/9)

Simplify:

X = sqrt(17)/3 and -sqrt(17)/3

The phrases that represent the inequality 12 minus 3x greater-than-or-equal-to 9 are 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve minus the product of three and a number is no smaller than nine.'

The phrases that can be used to represent the inequality 12 minus 3x greater-than-or-equal-to 9 are:

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The phrases 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve less than three times a number is at least nine' correctly represent the inequality 12 minus 3x greater-than-or-equal-to 9.

The inequality 12 minus 3x greater-than-or-equal-to 9 can be represented in two ways among the given phrases. The correct phrases are 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve less than three times a number is at least nine'. In both phrases, 'three times a number' represents '3x', 'twelve less than' represents '12 minus', and 'greater than or equal to nine' or 'at least nine' represents 'greater-than-or-equal-to 9'.

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Answer:

C) 5

Step-by-step explanation:

27,965/5 = 5593

Technically 27,965 can be divisible by any of these numbers but 5 i the only one that equals a whole number.

Answer: The sales price was $83,725

Step-by-step explanation: The commission rate for selling the property has been given as 6 percent of the sales price.

If the salesperson received a total of 3265.28, (which is 25% + 40% = 65% of the commission) then that means he has received the amount calculated  as follows;

(3265.28/x) = 65/100

(Where x is the commission earned)

By cross multiplication we now have

(3265.28 x 100)/65 = x

5023.5 = x

Having calculated the commission as $5023.5, we remember that the commission rate is 6%, and hence, to calculate the sales price (which is 100%) we take the following steps;

(5023.5/y) = 6/100

(Where y is the total sales figure)

By cross multiplication we now have

(5023.5 x 100)/6 = y

83725 = y

Therefore, the sales price was, $83,725

To find the sales price of a property based on the commission received, divide the commission earnings by the percentage commission for selling the property, then divide that total by the overall commission rate. Rounding to the nearest dollar, the sales price was $136,053.

The subject of this question is Mathematics, specifically pertaining to business and commission calculations. The problem involves determining the sales price of a property based on the commission received by a salesperson.

Hence, the sales price of the property was $136,053.

Answer:

the answer would be A

Step-by-step explanation:

multiply 7 x 6 and that would get you to 42 and if you multiply 42 x 6 that would get you 252 and if you do that with the rest of the numbers you will see that it could work if you multiply them by 6 so basically the constant rate of the numbers would be 6.

Answer:

i think is 240 or it could be 64

Answer:

approximately 18 or [tex]\sqrt{324}[/tex]

Step-by-step explanation:

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A quadrilateral is a polygon with 4 number of sides and 4 vertices. The measure of the ∠X is 104°.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

Given a scenic overlook which extends over a ravine is shaped like a kite. Since in a kite the measure of all the angles is 360°, also, the measure of the angle formed by the two non-equal sides is equal. Therefore, the measure of the two angles that will be equal is ∠X and ∠Z.

Further, the sum of the measure of all the angles can be written as,

∠X + ∠Y + ∠Z + ∠W = 360°

∠X + 40° + ∠X + 112° = 360°

2∠X = 360° - 112° - 40°

2∠X = 208°

∠X = 208°/2

∠X = 104°

Hence, the measure of the ∠X is 104°.

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Without additional details it is not possible to solve for the measure of angle Z (mZX) in a kite. Kite properties and given angle measures are typically used to solve for unknown angles.

The question asks to find the measure of angle Z (mZX) in a kite. A property of a kite is that it has two pairs of adjacent sides that are equal. Another property is that the diagonals intersect at right angles. Furthermore, kites have one pair of opposite angles that are equal, known as the non-vertex angles.

If the kite diagram was provided with certain angles or relationships between the angles, we could use that information to calculate mZX. Typically, we would use the properties of the kite's angles and sides to form equations and solve for the unknown angle.

Without additional information provided, we cannot definitively solve for mZX. Usually, in the context of a geometry problem like this, one would apply the knowledge of geometric shapes, their properties, and other given information to solve for the unknown angle.

Your answer is Y= -3.

Answer:

  (x, y) = (14, -3)

Step-by-step explanation:

You are given an expression for x, so it is convenient to use that to substitute for x.

  2(-3y +5) +8y = 4

  -6y +10 +8y = 4 . . . . . eliminate parentheses

  2y = -6 . . . . . . . . . . . . subtract 10, collect terms

  y = -3 . . . . . . . . . . . . . divide by 2

  x = (-3)(-3) +5 = 14 . . . use the second equation to find x

The solution is (x, y) = (14, -3).

Final answer:

The equation for finding the value of K when increased by 10 equals 24 is K + 10 = 24, and solving it results in K = 14.

Explanation:

A number K increased by 10" is represented by K+10.

"Is the same as" means equal to.

"24" is represented by 24.

Therefore, we can express this relationship as an equation where the left side represents "a number K increased by 10" and the right side represents "24."

The equation to represent the situation where a number K increased by 10 equals 24 is:

K + 10 = 24

This equation signifies that when the unknown number K is augmented by 10, the resultant value equals 24. It serves as a concise representation of the given condition, enabling the determination of K by solving the equation.

Through such algebraic manipulation, one can discern that the value of  K:

K = 24 - 10 = 14

Answer:

The second rectangle on edg

Step-by-step explanation:

Answer: B.) (2nd choice)

h=1.5

w=1

l=2.6

Step-by-step explanation: