what is the volume of this shape

yes, z can lie between x and y but z can also lie on another side of x in Number lines.

With an example, define number line?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals.

                  A number line can be used to visualize all the numbers in a succession. The endpoints of this line go on forever.

What does the math number line mean?

A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided.

                               How a number is used—for example, to plot a point—depends on the question that goes with it.

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There are $21.5 money was spent on a pass and lunch for each student.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that:

The amount spent by school on pass of 40 students and 3 teachers = $546.53

And, the amount spent for the lunch only for students = $351.60

Now,

The money spent for pass of 43 person = $546.53

Then, The amount of pass for each person  = 546.53/43

                                = $12.71

Since, there are 40 student then amount of lunch for each students = ⇒ 351.60/40

⇒ $8.79

Therefore, amount of pass and lunch for each student = 12.71 + 8.79

                              = $21.5

Thus, $21.5 is the required answer.

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Answer:

1st one is 160,321

2nd one is 15,379

3rd one is 70,470

Step-by-step explanation:

63,274+ 97,047 = 160,321

41,805- 26,426 = 15,379

82,004-11,534 = 70,470

Answer: 40

Step-by-step explanation:

all you have to to is subtract

9 from 49 = 40

Answer:40

Step-by-step explanation:49-9=40

In linear equation, The amount of butter used is an illustration of equivalent ratio.

The amount of butter used last month is 300kg.

What is  a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                           The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Because the bakery used 25% more last month, the amount they used is then calculated using

     Amount = ( 1 + 25%) * last month

Substitute 240kg for Last Month

  Amount = ( 1 + 0.25) * 240

Remove brackets

Amount = 1.25 * 240kg

              = 300 kg

Hence, the amount of butter used last month is 300kg.

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Answer:

A

Step-by-step explanation:

the the direction of the graph is increased that means slope of the graph is positive.

Answer:

B=28

Step-by-step explanation:

The total amount that Mikaela spent on the paddleboard will be  $449.80.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths.

As per the given,

Original price = $699

The selling price = $699 - 40% of $699

⇒ $699 - 0.40 x $699 = $419.4

The state tax (assuming it applied to the selling price) will be as,

7.25% of $419.4 = (7.25/100) x 419.4 = $30.4065

Final amount = $419.4 + $30.4065 = $449.80

Hence "Mikaela will have spent $449.80 in total on the paddleboard".

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The compound interest received by Matthew Westhoven is $51.80

The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You'll have $110.25 after the second year is over.

Given, the principal amount (P) = $925

Compound interest percentage (r) = 5.5% = 0.055

Time period (t) = 1

Since, it is semiannually compounded (n) = 2*t = 2

Amount (A) = P(1 + r/n)^nt

= 925(1 + 0.055/2)^2

= 925(1.0275)^2

= 925(1.056)

= 976.80

Thus, Interest amount (CI) = A - P

= $976.80 - $925

= $51.80

The compound interest received by Matthew Westhoven is $51.80

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The slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

What is the slope-intercept form of the line?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, b). In the formula, b represents the y value of the y-intercept point.

To find the slope of the equation, we need to put it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can first divide both sides of the equation by 5 to get:

2x + y - 3 = 0

Then, we can add 3 to both sides to get:

y = -2x + 3

Now comparing the equation with y = mx + c, we can say that

the slope is -2 and the y-intercept is 3.

Hence, the slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

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Answer:  BD = 5

Step-by-step explanation:

[tex]a^{2} +12^{2} =13^{2}[/tex]

[tex]a^{2} =13^{2}-12^{2}[/tex]

[tex]a = \sqrt{25}[/tex]

[tex]a = 5[/tex]

Therefore BD = 5

The fractions reduced to standard form are -2/5, 1/5, 1/2 and 5/11 for 1), 2), 3), and 4) respectively

To reduce a fraction to standard form, you need to divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD). The GCD is the largest number that can be evenly divided into both the numerator and the denominator.

Given:

1) -18/45

The GCD of 18 and 45 is 9. Thus:

-18/45 = -2/5

2) -3/-15

The GCD of 3 and 15 is 3. Thus:

-3/-15 = 1/5

3) 28/56

The GCD of 28 and 56 is 28. Thus:

28/56 = 1/2

4) 45/99

The GCD of 45 and 99 is 9. Thus:

45/99 = 5/11

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1)-6/15

2)1/5

3)1/2

4)5/11

1) -18/45

⇒-6/15

2)-3/-15

⇒-1/-5

⇒1/5

3)28/56

⇒4/8

⇒1/2

4)45/99

⇒15/33

⇒5/11

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Answer:

(sqrt3)/2

Step-by-step explanation:

Sin(x)=opposite/hypotenuse

30, 60, 90 right triangle.

ratio of sides are 1, sqrt3, and 2.

Locate the 60 degree angle on the triangle

The opposite side is sqrt3

The hypotenuse is 2

so its (sqrt3)/2

Answer:

√3/2 or 0.866

Step-by-step explanation:

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.

There are 8 consonants in the word "Massachusetts" those are m,3s,c,h,2t

So there are 8 choices for the first letter and 7 choices for the second letter. There are 5 vowels in the word.

So there is 1 choice for the third letter. Therefore, there are a total of 8 * 7 * 1 = 56 permutations of the letters in "Massachusetts" with consonants in the first two positions and a vowel in the last.

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Calculation the variance and standard deviation of the discrete random variable is given by σ² = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex] and standard deviation is the square root of Variance 'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

As given in the question,

Therefore , the variance and standard deviation of the discrete random variable is calculated with the help of the following formulas:

Variance 'σ²' = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex]  and standard deviation  'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

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The values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

What are the Properties of Angles of a Parallelogram?

A parallelogram is a quadrilateral with equal and parallel opposite sides. There are some special properties of a parallelogram that make it different from the other quadrilaterals.

The consecutive angles are supplementary then,

5y + 7y - 24 = 180

12y = 180 + 24

12y = 204

y = 204/12

y = 17

The opposite angles of a parallelogram are congruent (equal) then,

5y = 4x + 7

5(17) = 4x + 7

85 = 4x + 7

85 -7 = 4x

4x = 78

x = 78/4 = 19.5

x = 19.5

the consecutive angles are supplementary, then

4x + 7 + 3z = 180

4(19.5) + 7 + 3z = 180

78 + 7 + 3z = 180

85 + 3z = 180

3z = 180 - 88

3z = 92

z = 92/3

z = 30.6

All the angles of a parallelogram add up to 360°, then:

4x + 7 + 3z + 5y +7y - 24 = 360

To check is this a parallelogram? put the values of x, y, and z in the above equation:

4(19.5) + 7 + 3(30.6) + 5(17) +7(17) - 24 = 360

356.8 ≠ 360

hence, the values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

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It will take 36a⁶b¹² tiles to cover the canvas

Given:

Side lengths of square canvas = 6a⁴b⁹ units

Side lengths of square mosaic tiles = ab³ units

Area of square = L²

where L is  the side length of the square

Area of square canvas = 6a⁴b⁹ × 6a⁴b⁹ = 36a⁸b¹⁸ units²

Area of square mosaic tiles = ab³ × ab³ = a²b⁶ units²

Number of mosaic tiles = Area of square canvas / Area of square mosaic tiles

Number of mosaic tiles = 36a⁸b¹⁸ / a²b⁶ = 36a⁶b¹²

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Answer:

Step-by-step explanation:

The graph of the function f(x) = x(x - 5)(x - 3) is given by the image shown at the end of the answer.

To draw the sketch of the graph, we need to consider these three following features:

The function in this problem is defined as follows:

f(x) = x(x - 5)(x - 3).

From the factor theorem, the x-intercepts are taken from the linear factors, as follows:

The y-intercept is the value of y when the graph of the function crosses the y-axis, that is, the value of y when x = 0, hence:

f(0) = 0(0 - 5)(0  -3) = 0.

In the problem, we have a cube function, hence:

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answer : 26

steps

get hypotenuse

a² + b² = c²

7² + 8² = c²

49 + 64 = c²

113 = c²

square root of c is √113 which 10.63

7 + 8 + 10.63 = 25.63

Only member B and D will reach their goal.

Given;

Amount to be saved = $285

Total time to save money = 5 weeks

Now,

For member A:

Working hours = 8 per week

per hour earnings = $6.15

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hour

= 8 × 5 × 6.15

= $246

For member B:

Working hours = 10 per week

per hour earnings = $5.85

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 10 × 5 × 5.85

= $292.5

For member C:

Working hours = 7 per week

per hour earnings = $7.25

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 7 × 5 × $7.25

= $253.75

For member D:

Working hours = 9 per week

per hour earnings = $6.35

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 9 × 5 × $6.35

= $285.75

Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount

therefore,

Only member B and D will reach their goal

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Your question is incomplete. Please find the missing content below:

To be able to go on the band trip, four band members each get a part-time job. Each person has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $285? Member A: Works 8 hours per week at $6.15 per hour Member B: Works 10 hours per week at $5.85 per hour Member C: Works 7 hours per week at $7.25 per hour Member D: Works 9 hours per week at $6.35 per hour

Answer:

YX = 5.1

if the answer is rounded to the nearest 10th then:

YX = 5.2

Step-by-step explanation:

⭐What is the circumcenter of a triangle?

⭐What are the properties of a circumcenter?

Let's use the properties of a circumcenter to solve for YX.

Because the circumcenter is the intersection of the perpendicular bisectors :

If Y is the circumcenter, then XU = SX.

If Y is the circumcenter, then ∠UXY = 90°.

If ∠UXY = 90°, then ∠SXY = 90°.

If SX = 13, then XU = 13 .

If YT = 14, then YU = 13.

If YU = 13, then YS = 13.

ΔUXY and ΔSXY. YX is the height of both triangles.

Therefore, we can use the Pythagorean Theorem ([tex]c^2 = a^2 + b^2[/tex]) to solve for YX.

Set up the equation. Let c = the hypotenuse and let a and b = the legs:

[tex]c^2 = a^2 + b^2[/tex]

[tex]14^2 = 13^2 + YX^2[/tex]

[tex]196 = 169 + XY^2[/tex]

[tex]27 = XY^2[/tex]

[tex]\sqrt{27} = \sqrt{XY^2}[/tex]

∴ 5.1/5.2 = XY

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Answer:

find my dad

Step-by-step explanation:

Answer:

please tell me if you get the answer. I need it too!

The cylinder made with a paper size of 8.5 inches by 11 inches is having more volume and thus contains more chocolate, so, the statement by Oliver is wrong.

What is cylinder?

A cylinder is a three-dimensional solid that maintains two parallel bases spaced at a set distance from one another. These bases often have a circular form (like a circle).

Given:

The size of the first paper = 8.5 inches by 11 inches,

The size of the second paper = 11 inches by 8 inches,

The width of the paper when folded becomes the circumference of the cylinder circle, so,

Circumference of the cylinder for the first case = 2 × π × r

11 = 2 × π × r,

r = 1.75 inches,

The volume of the cylinder for the first case = π × r² × h

The volume of the cylinder for the first case = π × (1.75)² × 8.5

The volume of the cylinder for the first case = 81.78 inches³

Calculate the volume for the second case,

Circumference of the cylinder for the second case = 2 × π × r,

8.5 = 2 × π × r

r = 1.35 inches

The volume of the cylinder for the second case = π × (1.35)² × 11

The volume of the cylinder for the first case = 63.24 inches³

As we know, the cylinder with a higher volume contains more chocolate.

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Answer:

The value of the ratio of crisp wheat cereal to crisp rice cereal is 1/4 to 1 1/2, which can be simplified to 1/4 to 3/2. This means that for every 4 parts of crisp wheat cereal, there are 3 parts of crisp rice cereal. The amount of crisp wheat cereal is therefore less than the amount of crisp rice cereal. Specifically, the amount of crisp wheat cereal is 1/4 * the amount of crisp rice cereal.

Step-by-step explanation:

The expression that shows the total number of cans collected by both homerooms is 14n - 4

The expression for more cans collected is 8n - 7 > 6n + 3

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

Homeroom      Cans Collected

Mr. Juarez        8n−7

Ms. Wade         6n+3

The total number of cans collected is calculated as

Cans collected = Mr. Juarez + Ms. Wade

Substitute the known values in the above equation, so, we have the following representation

Cans collected = 8n - 7 + 6n + 3

Evaluate the like terms

Cans collected = 14n - 4

Here, we have

Mr. Juarez's homeroom collected more cans

This means that

Mr. Juarez > Ms. Wade

Substitute the known values in the above equation, so, we have the following representation

8n - 7 > 6n + 3

Hence, the expression is 8n - 7 > 6n + 3

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Answer:

2,228

Step-by-step explanation:

Each unit will make 13.25 in profit before incorporating the one time cost. This means that 29,521/13.25= the amount needed to break even.

Answer:

f^-1(x) = 2(x-2)^2 + 1

f^-1(x) = (x+3)^3

Step-by-step explanation:

The inverse of a function is found by switching the roles of the dependent and independent variables. In other words, we can find the inverse of a function by interchanging the x and y values in the equation. So, the inverse of the function f(x) = 2(x-2)^2 + 1 can be written as f^-1(x) = 2(x-2)^2 + 1.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace f(x) with y in the original function to obtain y = 2(x-2)^2 + 1.

3. Solve for x in terms of y to obtain x = +/- sqrt((y-1)/2) + 2.

The inverse function f^-1(x) can then be written as f^-1(x) = +/- sqrt((x-1)/2) + 2.

Note that this inverse function is not a one-to-one function, because for some values of x (namely, x < 1), the function has two possible values of y (i.e. it has two solutions). Therefore, the inverse function is not a function in the strict mathematical sense, but it is still a useful concept in certain contexts.

To find the inverse of a function, we switch the roles of the dependent and independent variables, so the inverse function can be written as x = ^3√y-3.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace y with x in the original function to obtain x = ^3√y-3.

3. Solve for y in terms of x to obtain y = (x+3)^3.

The inverse function can then be written as f^-1(x) = (x+3)^3.

Note that this inverse function is a one-to-one function, meaning that for every value of x, there is only one corresponding value of y. Therefore, the inverse function is a function in the strict mathematical sense.

Answer: $1.33

Step-by-step explanation:

30/16 = 15/8

.71 · 15/8 = 1.33125