Let ABCDE be an equiangular convex pentagon of perimeter 1. The pairwise intersections of the lines that extend the sides of the pentagon determine a five-pointed star polygon. Let s be the perimeter of this star. What is the difference between the maximum and the minimum possible values of s?

The distance I would travel in one turn of the big wheel is  163.43 inches.

The distance I would travel in one turn is equal to the circumference of the wheel. The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

The circumference of a circle = πD

22/7 x 52 = 163.43 inches

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According to the question the maximum error in the calculated area of the rectangle is \(\(4.7 \, \text{cm}^2\).\)

Step 1: The area of the rectangle is given by the formula:

\(\[A = xy\]\)

To estimate the maximum error in the calculated area, we can use differentials. Let's denote the length and width measurements as \(\(x\) and \(y\)\), respectively, and the corresponding maximum errors as \(\(\Delta x\) and \(\Delta y\).\)

Step 2: Express the area as a function of \(\(x\) and \(y\):\)

\(\[A = xy\]\)

Step 3: Take the differential of the area with respect to \(\(x\):\)

\(\[dA = \frac{\partial A}{\partial x} dx + \frac{\partial A}{\partial y} dy\]\)

Since \(\(\frac{\partial A}{\partial y}\)\) is 0 because the area does not directly depend on \(\(y\)\), the equation simplifies to:

\(\[dA = \frac{\partial A}{\partial x} dx\]\)

Step 4: Find \(\(\frac{\partial A}{\partial x}\)\) by differentiating the area function:

\(\[\frac{\partial A}{\partial x} = y\]\)

Step 5: Substitute the given values into the equation:

\(\[\Delta A = \frac{\partial A}{\partial x} \Delta x\]\)

\(\[\Delta A = y \Delta x\]\)

Step 6: Substitute the measured values for \(\(y\) and \(\Delta x\):\)

\(\[\Delta A = (47 \, \text{cm})(0.1 \, \text{cm})\]\)

Step 7: Calculate the maximum error in the area:

\(\[\Delta A = 4.7 \, \text{cm}^2\]\)

Therefore, the maximum error in the calculated area of the rectangle is \(\(4.7 \, \text{cm}^2\).\)

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Answer:

5.8 cm fabric is left

Step-by-step explanation:

Fabric bought = 8.6 cm

Used fabric to make pillow = 2.8 m

We need to find the amount of left fabric.

Left fabric = total fabric - used fabric

= 8.6 cm - 2.8 cm

= 5.8 cm

Hence, 5.8 cm fabric is left.

If Hilda has $210 worth of $10 and $12 stock shares and the number of $10 shares is 5 more than twice the number of $12 shares, then the number of $10 shares and $12 shares she has is equal to 15 and 5 respectively.

The number of $10 shares and $12 shares can be calculated by forming linear equations.

Consider the number of $10 shares to be x and the number of $12 shares to be y.

x = 2y + 5

10x + 12y = 210

Putting the value x = 2y + 5 in the second equation,

10x + 12y = 210

10 (2y + 5) + 12y = 210

20y + 50 + 12y = 210

32y + 50 = 210

32y = 210 - 50

32y = 160

y = 160 ÷ 32

y = 5

Putting y = 5 in the first equation,

x = 2y + 5

x = 2(5) + 5

x = 10 + 5

x = 15

Hence the number of $10 and $12 shares she has is calculated to be 15 and 5 respectively.

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A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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It takes approximately 3 hours for an average adult to metabolize four 12-ounce beers.

The alcohol has a half-life of about 3 hours. This means that for every three hours that pass, the amount of alcohol in your body decreases by half. Alcohol is metabolized primarily in the liver.

Here, enzymes break down the ethanol molecule and turn it into a less toxic chemical called Acetaldehyde. Acetaldehyde is then further broken down by the enzyme aldehyde dehydrogenase into Acetic acid. Acetic acid is then further broken down into water and Carbon dioxide and eventually eliminated from the body.

So, for an average adult, it takes approximately 3 hours to metabolize four 12-ounce beers. The rate of metabolism can be affected by a number of factors such as age, gender, body composition, and the rate at which the alcohol was consumed.

Additionally, factors such as weight, body fat percentage, and the amount of food in the stomach can also influence the rate of alcohol metabolism. It is important to note that even after the alcohol is metabolized, it can still remain in the system and affect cognitive and motor skills.

Therefore, it is important to give the body enough time to metabolize the alcohol before attempting to drive or operate any type of machinery.

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Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

x<-14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x<-14

The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

---------------------------------------------------------

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

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The value of x in the similar figures is 2.33

When two figures have the same shape but their sizes are different, then such figures are called similar figures

The two polygons are similar

We have to find the value of x

Let us form a proportional equation

4590/21=510/x

4590x=21×510

4590x=10710

Divide both sides by 4540

x=10710/4590

x=2.33

Hence, the value of x in the similar figures is 2.33

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Answer:  b

Step-by-step explanation:

I think

Answer:

b and d

Step-by-step explanation:

Answer:

5units

Step-by-step explanation:

Answer:

The one that is 18ft tall

Step-by-step explanation:

6 times 3 is 18

The probability notation for choosing a blue disk or a green disk is P ( B U G).

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability = (number of blue discs / total number of discs) + (number of green discs / total number of discs)

3/8 + 5/8

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Answer:24 seconds

Step-by-step explanation:

Since A(t) equals the total number of pixels in the image, then to figure out when it will be zero you just need to set A(t) equal to zero. This gives you the equation

\(0=(256-8t)(192-8t)\)

Since this equation equals zero, we know either 256-8t must equal 0 or 192-8t must since they are multiplied.

We can split this into two equations

\(256-8t=0\)

\(8t=256\\t=32\)

and

\(192-8t=0\\8t=192\\t=24\)

So, after 24 and 32 seconds both the width and height equal zero. Only the height or the width need to equal zero for the total area to equal zero (A=w*h), so we go with the lesser time, 24 seconds.

The required solutions to the equation are x = 2 or x = -14.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Starting with the equation:

(x + 6)² = 64

Taking the square root of both sides, we get:

x + 6 = ±8

Solving for x, we have two cases:

Case 1:
x + 6 = 8

x = 8 - 6

x = 2

Case 2:
x + 6 = -8

x = -8 - 6

x = -14

Therefore, the solutions to the equation are x = 2 or x = -14.

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We are given the following endpoints

A (2, 4) and B (17, 14)

We need to find point P such that the segment is in the rato of 2:3

Total segments = 2+3 = 5

The x-coordinate of the point P is given by

The y-coordinate of the point P is given by

Therefore, the point P is (8, 8)

The values for representing probabilty must be greater or equal to zero and less or equal to one.

So, the values which cannot be probabilities would be:

-0.05 ( It is less than zero)

1.48 (It is greater than one)

7/2 (It is greater than one)

-1/4 ( It is less than zero)

The larger cup can hold 144.51 in³ more water than the smaller cup.

The volume of a cone of radius r and height h is given by one third of the multiplication of pi = 3.14 by the radius squared by the height, hence:

V = 3.14r²h/3

V = 1.0472r²h.

For the smaller cup, the dimensions are r = 2 in and h = 3 in, hence the volume is given as follows:

V = 1.0472 x 2² x 3

V = 12.57 in³.

For the larger cup, the dimensions are r = 5 in and h = 6 in, hence the volume is given as follows:

V = 1.0472 x 5² x 6

V = 157.08 in³.

Then the difference is of:

157.08 - 12.57 = 144.51 in³.

The cones are given by the image presented at the end of the answer.

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The number of unemployed in the given economy can be calculated as follows:

Unemployed = Number of Labour force - Number of Employed Unemployed = 625 million - 480 million Unemployed = 145 million

The unemployment rate can be calculated by dividing the number of unemployed individuals by the number of individuals in the labour force and then multiplying the quotient by 100.

Unemployment Rate = (Unemployed/Labour force) × 100 Unemployment Rate = (145 million/625 million) × 100 Unemployment Rate = 23.2%

The population of the given economy can be calculated as follows:

Population = Number of Employed + Number of Individuals not in Labour ForcePopulation = 480 million + 125 millionPopulation = 605 million

Therefore, the number of unemployed in the given economy is 145 million, the unemployment rate is 23.2%, and the population is 605 million.

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Given matrix A = [[-1, -5q, 14m, 1348n]] and matrix B = [[-11v, 9w, -3, -2r, -141]], we need to compute the entries of E = A^T - B.

The transpose of matrix A, denoted as A^T, is obtained by interchanging the rows and columns of matrix A. So, A^T = [[-1], [-5q], [14m], [1348n]].

To compute e21, we find the entry at the second row and first column of E, which is obtained by subtracting the corresponding entries of A^T and B. Therefore, e21 = -1 - (-11v) = 11v - 1.

To compute a31 - b23 + e12, we consider the entry at the third row and first column of A^T, subtract b23 from it, and add e12. Thus, a31 - b23 + e12 = 14m - (-3) + (-5q) = 14m + 3 - 5q.

The final answers for (a) e21 and (b) a31 - b23 + e12 are 11v - 1 and 14m + 3 - 5q, respectively, in exact, reduced form.

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The Standard Notation Calculator works by following the standard order of operations that is used in mathematics to evaluate mathematical expressions.

This order of operations is as follows:

1. Parentheses: Evaluate expressions inside parentheses first.

2. Exponents: Evaluate expressions with exponents (powers) next.

3. Multiplication and Division: Evaluate multiplication and division in order from left to right.

4. Addition and Subtraction: Evaluate addition and subtraction in order from left to right.

When you enter an expression into a Standard Notation Calculator, it applies these rules to the expression to evaluate it and provide the result. For example, if you enter the expression "3 + 4 * 5" into the calculator, it will perform the multiplication first, since multiplication takes precedence over addition. This means it will calculate 4 * 5 = 20, and then add 3 to get the final result of 23.

In addition to these basic operations, the Standard Notation Calculator can also handle more complex functions such as trigonometric functions, logarithms, and square roots.

Overall, the Standard Notation Calculator follows established mathematical rules and formulas to evaluate expressions and provide accurate results.

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The average cost per item over the interval (1,000,1,010] is (C(1010) - C(1000)) / (1010 - 1000) = (10,000 + 5(1010) - 10,000 - 5(1000)) / 10 = $5.50.

The average cost per item over the interval [999.5, 1000] is (C(1000) - C(999.5)) / (1000 - 999.5) = (10,000 + 5(1000) - 10,000 - 5(999.5)) / 0.5 = $5.00.

The given function C(x) represents the cost in dollars to manufacture x items. To find the average cost per item over a given interval, we use the formula: (C(b) - C(a)) / (b - a), where a and b are the endpoints of the interval.

For the interval (1,000,1,010], we substitute a = 1000 and b = 1010 into the formula to obtain (C(1010) - C(1000)) / (1010 - 1000). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1010) - $10,000 - $5(1000)) / 10 = $5.50 per item.

For the interval [999.5, 1000], we substitute a = 999.5 and b = 1000 into the formula to obtain (C(1000) - C(999.5)) / (1000 - 999.5). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1000) - $10,000 - $5(999.5)) / 0.5 = $5.00 per item.

To find C'(1000), we differentiate the function C(x) with respect to x, which gives C'(x) = 5. The value of C'(1000) is therefore 5, rounded to 1 decimal place.

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Answer:

the method we follow is area of the triangle is 12bh b is base and h is the height of the triangle

Answer:

y = -2x + 12

Step-by-step explanation:

Slope-intercept form

\(y=mx+b\)

where:

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

\(\implies 4x+2y=24\)

\(\implies 4x+2y-4x=-4x+24\)

\(\implies 2y=-4x+24\)

\(\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}\)

\(\implies y=-2x+12\)

Answer:

y = -2x + 12

Step-by-step explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

Answer:

aslo bien jjjjjjj

Step-by-step explanation:

The values of x that will make this expression equal to 0 are -1 and 9

Given the expression;

(x-9)(x+1)

Let's take the following steps to determine the values

First, expand the bracket, we get;

x² + x - 9x - 9

x² + x - 9x - 9

equate the expression to zero, we have;

x² + x - 9x - 9 = 0

add or subtract the like terms, we get;

x² - 8x - 9 = 0

Factorize the values

x² - 9x + x - 9 = 0

Factor out the common terms in the equation, we get;

x(x - 9) + 1(x - 9) = 0

The equation are;

x + 1 = 0 and x - 9 = 0

Then,

x + 1 = 0

x = -1

x - 9 = 0

x = 9

Thus, the values are - 1 and 9

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Answer:

3125

Step-by-step explanation:

Cuz it is. I 4=5

Answer: 3125

Step-by-step explanation:

Answer:

1/14 ,1/22 ,1/32

Step-by-step explanation:

pattern is according to 2 table

1/2, 1/4, 1/8 the denominators difference is 2 table

2×1=2 difference between 2&4 is 2

2×2=4 difference between 4&8 is 4

2×3=6 8+6=14

2×4=8 14+8=22

2×5=10 22+10=32

hope you've understood