Addition or division

Answer:

Area: 378.5

Perimeter: 71.4

Step-by-step explanation:

Area = 3 square + 2 semicircle

A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5

perimeter = 2 square/2 + 2circle/2

P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4

Answer: B) y = 1/2x

Step-by-step explanation:

In a perpendicular line, the slope is the opposite reciprocal.  Thus, the equation can be simplified into y = 1/2x+b.  Then, to get b, simply plug in 4 for x and 2 for y

2=1/2(4)+b

2=2+b

0=b

Thus, the equation of the line is y = 1/2x + 0, or y = 1/2x

Hope it helps <3

Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Step-by-step explanation:

Wellll.....

(  72  + 4x )° = 164°

         4x = 92°

            x = 23

Answer:

Step-by-step explanation:

Step 1: Divide the volume of the water bottle by 3.14.

Volume / 3.14 = 110cm^3 / 3.14

Step 2: Divide the quotient by the height of the water bottle in cm.

(110cm^3 / 3.14) / 7.8 =

Step 3: The quotient of the two numbers is the radius of the water bottle in cm.

14.064516129 cm

Answer:

0.48

0.52

No

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

Answer:3-7=5

Step-by-step explanation: 3-7=5

Answer:

Chair: $2.50

Table: $8.50

Step-by-step explanation:

First, let's create equations with the information given to us:

x= cost of a chair

y= cost of a table

5x + 3y = $38

2x + 12y = $107

The next step is to solve for x in terms of y. To do this, I will be using the equation 5x + 3y = $38.

5x + 3y = $38   [Subtract 3y from both sides]

5x = -3y + 38   [Divide by 5]

x =(-3/5)y + 38/5

Now that we have found the value of x in terms of y, we will plug it into the equation 2x + 12y = $107.

2x + 12y = $107

2 ((-3/5)y + 38/5) + 12y = 107   [Distribute]

(-6/5)y + 76/5 + 12y = 107   [Combine like terms]

(54/5)y + 76/5 = 107   [Subtract 76/5 from both sides]

(54/5)y = 459/5   [Multiply both sides by 5/54]

y = 17/2 or 8.5

So, the cost of a table is $8.50.

Now that we have found the price of the table, let's plug it into the equation  5x + 3y = $38 to find the price of the chair.

5x + 3y = $38

5x + 3 ( 17/2 ) = 38   [Distribute]

5x + 51/2 = 38   [Subtract 51/2 from both sides]

5x = 25/2   [Divide both sides by 5]

x = 5/2 or 2.5

So, the cost of a chair is $2.50.

So, the chair costs $2.50 while the table costs $8.50.

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Answer: The length is 8 yards

Step-by-step explanation: First, take the volume of the prism (115 cubic yards), divide it by the width (2 1/2), the divide that by the height (5 3/4) getting you the length: 8 yards

Answer:

i think it is a

Step-by-step explanation:

Answer:

23.33

Step-by-step explanation:

Answer:

\(0.83\)

Step-by-step explanation:

\(6.64 \div 8\)

\(0.83\)

Answer:

The answer should be C.)0.83, hope this helps.

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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Bookworm publications can expect 2599.74 sales. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

It is believed that the four fundamental operations, often known as "arithmetic operations," may explain all real numbers. The four mathematical operations that produce the quotient, product, sum, and difference are division, multiplication, addition, and subtraction.

We are given that the sales in second year vary according to

S(x) = A₀ - (x + 600) / x²

Now, we are given that A₀ = 2600 and x = 50.

On substituting these values in the equation, we get

⇒S(50) = [2600 - (50 + 600)] / 50²

⇒S(50) = 2600 - (650 / 2500)

⇒S(50) = 2600 - 0.26

⇒S(50) = 2599.74

Hence, Bookworm publications can expect 2599.74 sales.

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Answer:

26

Step-by-step explanation:

65/5 is 13 so 1 is equal to 13 and since you wanna know what 2 is, 13 x 2 or 13 + 13 is equal to 26

The smallest number is found to be as 26.

The ratio of two numbers a and b can be written as a : b = a/b. The ratio of two quantities is the unit rate of one quantity with respect to the other. If the same number is multiplied to each number in the ratio the ratio remains the same. It implies that a : b and ka : kb are the same.

Suppose the numbers as per the given ratio are 2x, 3x and 5x respectively.

Since, the largest number given is 65. It can be written as,

5x = 65

⇒ x = 13

Now, the smallest number is given as below,

⇒ 2x = 2 × 13 = 26

Hence, the smallest number for the given ratio is obtained as 26.

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Answer: C

Step-by-step explanation:

The domain of a function is the set of x-values.

Answer:

  D.  y = 2.13x² +0.13x +6.39

Step-by-step explanation:

The quadratic regression function of a spreadsheet or graphing calculator will tell you the best choice is D.

the product of (x + 3/x)² is x² + 6 + 9/x².

Why it is and what is Algebra?

To find the product of (x + 3/x)², we can use the formula for squaring a binomial:

(a + b)² = a² + 2ab + b²

In this case, we have a = x and b = 3/x, so we can substitute these values into the formula and simplify:

(x + 3/x)² = x² + 2(x)(3/x) + (3/x)²

= x² + 6 + 9/x²

Therefore, the product of (x + 3/x)² is x² + 6 + 9/x².

Algebra is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols. It involves the use of letters and symbols to represent numbers and quantities in equations and expressions. The primary goal of algebra is to solve mathematical problems and equations using various operations such as addition, subtraction, multiplication, and division.

Algebraic concepts can be applied to a wide range of mathematical and real-world problems, including geometry, physics, engineering, economics, and statistics.

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Complete question:

Find the product of (x + 3/x)²2.

To solve the inequality 2x < 12, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides by 2:

2x < 12

x < 6

Therefore, the solution to the inequality is x < 6. This means that all values of x that are less than 6 satisfy the inequality. We can represent this graphically on a number line:

<=======()------6-------------->

The open circle () indicates that x cannot be equal to 6, but can be any value less than 6. The arrow indicates that the inequality is true for all values of x to the left of the open circle.

In summary, the solution to the inequality 2x < 12 is x < 6.

I'm 15 BTW

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

The 25th percentile is 166 cm. 50th percentile (median) is 172. the 75th percentile is 184 cm.

To find the percentiles for the given data, we first need to put the heights in order from smallest to largest:

137, 148, 155, 158, 165, 166, 166, 166, 166, 171, 171, 173, 175, 180, 184, 184, 186, 186, 186, 186

We can see that there are 20 boys in the class, so we can use the following formulas to find the percentiles:

To find the xth percentile, we need to find the value that separates the x% of the data from the rest. This can be found using the formula: x/100 * (n + 1), where n is the number of data points.

If the result of the formula is a whole number, the percentile is the average of that value and the next value in the data set. If the result is not a whole number, we round up to the nearest whole number and take the value in that position.

Using these formulas, we can find the 25th, 50th, and 75th percentiles:

25th percentile: 25/100 * (20 + 1) = 5.25, so we round up to 6. The 6th value in the data set is 166, so the 25th percentile is 166 cm.

50th percentile (median): 50/100 * (20 + 1) = 10.5, so we take the average of the 10th and 11th values in the data set: (171 + 173) / 2 = 172 cm.

75th percentile: 75/100 * (20 + 1) = 15.75, so we round up to 16. The 16th value in the data set is 184, so the 75th percentile is 184 cm.

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

B)36.3

hope u found if helpful

Answer:

Unlabeled side length = 15.00 units

Step-by-step explanation:

Because this is a right triangle, we can find the unlabeled side length using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

In the triangle, we're given that the legs are 12 and 9 units and the unlabeled side is the hypotenuse, which we must find:

Step 1:  Plug in 12 for a and 9 for b and simplify:

12^2 + 9^2 = c^2

144 + 81 = c^2

225 = c^2

Step 2:  Take the square root of both sides to solve for c, the hypotenuse (aka the unlabeled side):

± √225 = √(c)^2

± 15 = c

15.00 units = c

Although taking the square root of a number produced both a positive and negative answer since squaring both a positive and negative answer gives us a positive answer (e..g, 15 * 15 = 225 and -15 * -15 = 225), you can't have a negative measure.  Therefore, c, the unlabeled side length = 15.00 units.

Answer:

y

Step-by-step explanation:

In the given expression y is the variable while 3 is the coefficient & 67 is the constant. Remember that, variables are alphabets that are used in the place of unknown numbers.

Hope it helps ⚜

Answer:

x = 4

Step-by-step explanation:

1) Use Power Rule: \(\text{log}_bx^c=c\text{log}_bx\).

\(\text{log}_2x^2=3+\text{log}_2(x-2)\)

2) Move all terms to one side.

\(\text{log}_2x^2-3-\text{log}_2(x-2)=0\)

3) Use Quotient Rule: \(\text{log}_b\frac{x}{y} =\text{log}_bx-log_by\).

\(\text{log}_2(\frac{x^2}{x-2} )-3=0\)

4) Add 3 to both sides.

\(\text{log}_2(\frac{x^2}{x-2})=3\)

5) Use Definition of Common Logarithm: \(b^a=x\) if and only \(\text{log}_b(x)=a\).

\(\frac{x^2}{x-2} =2^3\)

6) Simplify \(2^3\) tom 8.

\(\frac{x^2}{x-2} =8\)

7) Multiply both sides by x - 2.

\(x^2=8(x-2)\)

8) Expand.

\(x^2=8x-16\)

9) Move all terms to one side.

\(x^2-8x+16=0\)

10)  Rewrite \(x^2-8x+16\) in the form \(a^2-2ab+b^2\), where \(a=x\) and \(b=4.\)

\(x^2-2(x)(4)+4^2=0\)

11) Use Square of Difference: \((a-b)^2=a^2-2ab+b^2\).

\((x-4)^2=0\)

12) Take the square root of both sides.

\(x-4=0\)

13) Add 4 to both sides.

\(x=4\)

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

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The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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