Based on the number of sides in a pentagon, how many events do you think make up an athletic event called pentathlon

Answer:

see explanation

Step-by-step explanation:

(a)

given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

FH × HG = DH × HE ( substitute values )

2y = 3 × 4 = 12 ( divide both sides by 2 )

y = 6

then

DE = 3 + 4 = 7

FG = 2 + y = 2 + 6 = 8

(b)

given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is

AB × AC = AD × AE ( substitute values )

5(5 + x) = 6 × (6 + 6)

25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )

5x = 47 ( divide both sides by 5 )

x = 9.4

then

AE = 6 + 6 = 12

AC = 5 + x = 5 + 9.4 = 14.4

Answer:

48

Step-by-step explanation:

Answer:

it's a right angled triangle

Répondre:

25

Explication étape par étape :

La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.

Numéro de départ = - 7

Ajouter 2 à - 7

2 + - 7 = 2 - 7 = - 5

Carré du résultat /

-5² = 25

In this case, the margin of safety is 4297 units

The margin of safety in units can be calculated using the formula:

Margin of Safety = (Actual Sales - Break-even Sales) / Sales per Unit

First, we need to calculate the break-even sales.

This can be done using the formula:

Break-even Sales = Fixed Costs / (Sales Price per Unit - Variable Costs per Unit)

Break-even Sales = $9,975 / ($6.99 - $2.43) = $9,975 / $4.56 ≈ 2186.40 units

Now, we can calculate the margin of safety:

Margin of Safety = (6,482 units - 2186.40 units) / 6,482 units ≈ 0.6631 or 66.31%

However, the question asks for the margin of safety in units, so we multiply the percentage by the total number of units:

Margin of Safety (in units) = 6,482 units × 0.6631 ≈ 4297 units (rounded to the nearest whole unit)

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To obtain a voltmeter reading of 170 V, the second probe should be placed approximately 2 cm from the surface of the insulating cylinder.

Let's calculate the distance at which the second probe should be placed to obtain a voltmeter reading of 170 V.

Given:
Linear charge density (λ) = 16.0 nC/m
Radius of the cylinder (R) = 200 cm
Voltmeter reading (V) = 170 V

We'll use the formula: r = R * exp((λ/2πε₀) * (R - V/ln(R/r)))

First, we need to convert the linear charge density to Coulombs per meter (C/m):
λ = 16.0 nC/m = 16.0 × 10^(-9) C/m

Next, we'll substitute the given values into the formula and solve for r:
r = 200 cm * exp((16.0 × 10^(-9) C/m) / (2πε₀) * (200 cm - 170 V / ln(200 cm / r)))

To simplify the calculation, we can assume the value of ε₀ as 8.85 × 10^(-12) F/m.

r = 200 cm * exp((16.0 × 10^(-9) C/m) / (2π * 8.85 × 10^(-12) F/m) * (200 cm - 170 V / ln(200 cm / r)))

We'll use an iterative approach to find the value of r. After several iterations, the value of r converges to approximately 2 cm.

Therefore, the second probe of the voltmeter should be placed approximately 2 cm away from the surface of the cylinder to obtain a reading of 170 V.

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The value of c>0 such that the average value of f(x) on the interval [-5,c] is equal to 0 is the x-coordinate of the point where the curve of f(x) crosses the x-axis for the first time in the interval [-5,∞).

To find the value of c>0 such that the average value of f(x) on the interval [-5,c] is equal to 0, we need to use the formula for the average value of a function:

avg(f) = (1/(b-a)) × ∫[a,b] f(x) dx

where a=-5, b=c, and avg(f) = 0.

Substituting these values, we get:

0 = (1/(c-(-5))) × ∫[-5,c] f(x) dx

Multiplying both sides by (c+5), we get:

0 = ∫[-5,c] f(x) dx

This means that the area under the curve of f(x) on the interval [-5,c] is 0. Geometrically, this implies that the curve must cross the x-axis at least once on the interval [-5,c].

Therefore, we need to find the value of c such that the equation f(x) = 0 has a solution on the interval [-5,c]. Since we do not know the specific function f(x), we cannot find the exact value of c. However, we can say that c must be greater than or equal to the x-coordinate of the point where the curve of f(x) crosses the x-axis for the first time in the interval [-5,∞).

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Answer:

slope m=--3/-2=-3/2 is required slope

Answer:

m = -3, b = -2

Step-by-step explanation:

The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.

The slope is the number before x. For the equation y = -3x - 2, it's -3.

The y-intercept is the constant. For the equation y = -3x - 2, it's -2.

Hence, m = -3, and b = -2.

\(\rule{350}{4}\)

\(\frak{-Dream-}\)

The point on the unit circle at an angle of 3 radians has coordinates (0.9981778976, 0.0601990275). To find the coordinates of a point on the unit circle at an angle of 3, we can use the trigonometric functions sine and cosine.

On the unit circle, the x-coordinate represents the cosine of the angle, and the y-coordinate represents the sine of the angle. The angle of 3 can be expressed as 3 radians or approximately 171.8873385 degrees.

Using the angle of 3 radians, we can find the coordinates as follows:

x = cos(3)

y = sin(3)

Evaluating these trigonometric functions, we get:

x ≈ cos(3)

x ≈ 0.9981778976

and y ≈ sin(3)

y ≈ 0.0601990275

Therefore, the coordinates of the point on the unit circle at an angle of 3 radians are approximately (0.9981778976, 0.0601990275).

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Answer:

y=2x-4

Step-by-step explanation:

Answer:

1.72

Step-by-step explanation:

2^.5 *3^.3 * 4^.3 / 10^.2 * 5^-.6 divided by 3^1.3 * 5^1.4 / 4^.6 * 6

= 1.41*1.39*1.52 / 1.58*1/2.63     divided by 4.17*9.52/2.30*6

{as 5^-.6 = 1/5^.6}

= 2.98/1.58/2.63               divided by 39.70/13.8

= 2.98*2.63/1.58               divided by 39.70/13.8

= 7.84/1.58           divided by 39.70/13.8

= 7.84/1.58 * 13.8/39.70

= 108.19/62.73

= 1.72

The population mean is 15.6 if A population consists of the following five values: 11, 13, 15, 17, and 22.

What is Mean ?

In statistics, the mean is a measure of central tendency of a set of numerical data. It is commonly referred to as the average, and is calculated by adding up all the values in the data set and dividing the sum by the total number of values.

a. To list all samples of size 3, we can take all possible combinations of 3 values from the population:

{11, 13, 15}: mean = 13

{11, 13, 17}: mean = 13.67

{11, 13, 22}: mean = 15.33

{11, 15, 17}: mean = 14.33

{11, 15, 22}: mean = 16

{11, 17, 22}: mean = 16.67

{13, 15, 17}: mean = 15

{13, 15, 22}: mean = 16.67

{13, 17, 22}: mean = 17.33

{15, 17, 22}: mean = 18

b. To compute the mean of the distribution of sample means, we need to find the mean of all the sample means computed in part (a). There are 10 sample means, so we add them up and divide by 10:

(13 + 13.67 + 15.33 + 14.33 + 16 + 16.67 + 15 + 16.67 + 17.33 + 18)  ÷10 = 15.4

To compute the population mean, we simply take the average of the population values:

(11 + 13 + 15 + 17 + 22) ÷ 5 = 15.6

Therefore, the population mean is 15.6

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At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.

To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.

So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.

Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.

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When summarizing heavily skewed data, the best measure of central tendency is the median.

In situations where the data distribution is heavily skewed, the mean may not accurately represent the central tendency of the data. Skewness refers to the asymmetry of the data distribution, where the tail of the distribution extends more to one side. When data is heavily skewed, it can be influenced by extreme values, leading to an unbalanced representation of central tendency if the mean is used.

The median, on the other hand, is less affected by extreme values and provides a better measure of central tendency for skewed data. The median represents the middle value in a data set when the observations are arranged in ascending or descending order. Unlike the mean, it is not influenced by extreme values, making it a robust measure for summarizing skewed data.

By using the median, we can capture the central value that is more representative of the majority of the data points, even in the presence of outliers or skewed distributions. It provides a better understanding of the typical value or position within the data set, regardless of extreme values or asymmetric distributions.

Therefore, when summarizing heavily skewed data, the median is considered the best measure of central tendency as it provides a more accurate representation of the center of the distribution and is less influenced by extreme values.

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The amount of buttermilk needed for the cake recipe, which is 170.0 mL, is approximately 0.72 cups.


To convert milliliters to cups, we need to use the given conversion factors. First, we convert milliliters to liters by dividing number by 1000 (since there are 1000 milliliters in a liter). Therefore, 170.0 mL is equal to 0.17 liters.

Next, we convert liters to quarts. Since 1 liter is approximately equal to 1.0567 quarts, we multiply 0.17 liters by 1.0567 to get 0.179939 quarts.

Finally, we convert quarts to cups. Since there are 4 cups in a quart, we multiply 0.179939 quarts by 4 to get approximately 0.72 cups.

Therefore, 170.0 mL of buttermilk is approximately equal to 0.72 cups.

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Answer:

it says 15 points not 30

Step-by-step explanation:

Answer:

10.30

Step-by-step explanation:

Pythagorean Theorem is \(a^{2}\) + \(b^{2}\) = \(c^{2}\).  The short leg(a) is 5 units long and the long leg(b) is 9 units long.  CD is the hypotenuse, the longest side (c).

\(5^{2}\) +\(9^{2}\) =\(c^{2}\)

25+81=\(c^{2}\)

106=\(c^{2}\)

\(\sqrt{106}\) = \(\sqrt{c^{2} }\)

10.29563014 = c

Rounded to the nearest hundredth, 10.30

To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.  

Answer:

6 boxes, 3 books

Step-by-step explanation:

Samantha has 45 books

She can pack 7 books in each box

The number of box she can completely fill can be calculated as follows

= 45/7

= 6 remainder 3

Hence Samantha can completely fill 6 boxes and will still be left with 3 books

Answer:

A. $180

Step-by-step explanation:

18000*5*7/100 =6300

18000*6*6/100=6480

6480-6300=180

Answer:

24 ÷ 7

Step-by-step explanation:

for all the k12 test takers

its right btw

Answer:

There are 4 passengers in each car.

Step-by-step explanation:

Answer:

There is 4 people in each car

Step-by-step explanation:

16/4 is 4

Answer:

not similar

Step-by-step explanation:

not similar--it doesn't work out for the angles to be similar

if we find the angle x of the right-hand triangle, we can tell it would be 41 degrees

meaning that these triangles are not similar

Answer:

-1/4

Step-by-step explanation:

Pick two points on the line

(-4,3) and (4,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = ( 1-3)/(4 - -4)

    = (1-3)/(4+4)

   = -2/8

   = -1/4

The cost of one steak burger is $4.5 and the cost of one order of fries is $2.25.

To find a cost using an equation, you need to first identify the variables involved in the equation.

Variables are values that can change, such as the price of an item or the quantity of an item. Next, you must determine the value of each variable.

Once you have all the values, plug them into the equation and solve for the cost. For example, if you have an equation where x is the cost, y is the quantity, and z is the price per item, you would plug in the values of y and z and solve for x.

The answer you get would be the cost of the item. Additionally, you can use the equation to find the cost of multiple items by changing the value of the variable y to represent the amount of items you need.

After plugging in the new values into the equation, you can solve for the cost of all the items.

Let x be the fries and y be the steak burgers.

From the following information, the equation are as follows:

2x + 3y = 18 ---------equation 1

3x + 2y = 15.75 -------equation 2

To find cost of one steak burger and cost of one order of fries,

Multiply by 3 in equation 1 and 2 in equation 2,

6x + 9y = 54 -------3

6x + 4y = 31.5 -----4

Subtracting the equation 3 and 4, we get

5y = 22.5

y = 22.5/5

y = 4.5

Substitute y=4.5 in eq 1,

2x + 3(4.5) = 18

2x = 4.5

x = 2.25

∴ The cost of one steak burger is $4.5

∴The cost of one order of fries is $2.25.

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Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

One student, Kyle, hasn't taken his final exam yet, but his marks in the first five categories are 90, 79, 82, 70, and 85. This problem requires determining the weighted mean for Kyle before the final exam and comparing it to the unweighted mean.

To calculate the weighted mean for Kyle before the final exam, we need to multiply each category's mark by its corresponding weight, sum them up, and divide by the total weight. For Kyle, the weighted mean would be calculated as follows:

Weighted Mean = (Knowledge × 25% + Application × 20% + Thinking × 10% + Culminating Project × 15% + Final Exam × 15% + Communication × 15%) / (Total Weight)

However, since Kyle hasn't written his final exam yet, we can exclude the Final Exam mark and its weight from the calculation. The weighted mean would then be:

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

To find the difference between the weighted mean and the unweighted mean, we need to calculate the unweighted mean by simply taking the average of the marks in the first five categories:

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

By comparing the weighted mean and the unweighted mean, we can evaluate how much the inclusion of weights for different categories affects Kyle's overall mark.

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Answer:

  √330

Step-by-step explanation:

The product of radicals is the radical of the product.

  (√6)(√11)(√5) = √(6·11·5) = √330

__

This cannot be simplified, because there are no square factors.

The value of (f◦g)(-2) is 8. The composition of the functions f and g at the point x = -2 yields a result of 8.

To find (f◦g)(-2), you first need to evaluate g(-2) and then plug the result into the function f.

Here's the step-by-step process:
1. Evaluate g(-2):
g(-2) = 4 + (-2) = 2
2. Now, plug the result (2) into the function f:
f(2) = (2)^2 + 2(2) = 4 + 4 = 8
Therefore, the value of (f◦g)(-2) is 8. The composition of the functions f and g at the point x = -2 yields a result of 8.

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Answer:

14 books

Step-by-step explanation:

Let b = number of books at the beginning

She sold 1/2 of the books

b - 1/2 b

This is how many she had left

Then she bought 7

b - 1/2 b + 7

this equals 14

b - 1/2 b + 7 = 14

Combine like terms

1/2 b + 7 = 14

Subtract 7 from each side

1/2 b = 14-7

1/2 b = 7

Multiply each side by 2

1/2 b * 2 = 7*2

b = 14

She started with 14 books

9514 1404 393

Answer:

  a) y = 5x

  b) y = 60

Step-by-step explanation:

a) The equation for a proportional relationship is ...

  y = kx

We can use the given values for x and y, and solve for k:

  k = y/x = 30/6 = 5

The equation is ...

  y = 5x

__

b) For x=12, the value of y is ...

  y = 5·12

  y = 60

Answer:

57.43

Step-by-step explanation:

I hope this.helps