A regular pentagon is cut out of a flat piece of cardboard. The pentagon is then placed back into the pentagonal hole. How many ways can the pentagon be placed back into the hole, if the pentagon can be rotated and/or reflected?

Answer:

35x ≤ 1000

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

it is 90 degrees

Step-by-step explanation:

Well I don't know about these angles, but if you were an angle you'd be acute one ;)

Age Frequency

41-45 5

46-50 9

51-55 3

56-60 10

61-65 10

66-70 6

1) Since the frequency represents how many times a given data point occurs within a Data Set. We can fill it in by counting.

2) So let's write them out (Note that in this case the least value is included as well as the greater one):

Age Frequency

41-45 5

46-50 9

51-55 3

56-60 10

61-65 10

66-70 6

And that is the answer

Answer:

The original price of the dvd is 20 dollars.

Step-by-step explanation:

I know this because 50% of something is the equivalent of saying it is half (or in this case, half off), so all you have to do is find the number that reverses the division, meaning instead of dividing by two, you'd use the opposite operation. you would multiply 10 by 2, which is the opposite of diving by 2, to then get 10 time 2 = 20.

So, your answer is $20

Hope this helps! :)

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

However, as you move away from the picture, larger regions of color become visible, eventually transforming into recognized objects such as flowers or clouds. This is comparable to Binding.

All you'll notice if you get too close to a pointillist artwork are tiny colored dots. However, as you move away from the picture, larger regions of color become visible, eventually transforming into recognized objects such as flowers or clouds. This is similar to Binding.

This experiment, first done in 1999, reveals a phenomena known as inattentional blindness, in which focused attention causes a failure to detect something that would otherwise be clear. The Stroop effect is a typical illustration of top-down processing in operation. In this assignment, participants are shown a list of words printed in various colors. They are then asked to name the color of the ink rather than the word itself.

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Answer:

Value of \(p-q=1\)

Step-by-step explanation:

We need to find \(p-q\)

\(p-q=14-13\\\\=1\)

\(\huge\boxed{\sf{Hello\:there!}}\)

We are asked to evaluate p-q.

Now, if we aren't given the value of every variable, evaluating this expression is impossible. However, we do have the value of p (14) and the value of q (13)

We plug these numbers instead of the variables:

p-q

p=14

q=13

14-13

1

Hence, the value of the expression is 1.

\(\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}\)

\(\huge\bold{Good\:luck!}}\)

\(\huge\mathfrak{LoveLastsAllEternity}\)

Step-by-step explanation:

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Answer:

ASWKT TAKING X AS ANY NO.

X=1

by substituting we get answer as 2,0

Step-by-step explanation:

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If ε = 1, the maximum value of δ that satisfies the condition |x - 1|. satisfied <; δ means |2x - 2| <; ε is δ ≤ 0.5. For ε = 0.1, the maximum value of δ that satisfies the condition is δ ≤ 0.05 for largest number.

We need to find the maximum value of δ such that |x - 1|. Applies <; δ, then |2x - 2| <; e.

If \(ε = 1\):

We begin by analyzing the inequality |2x - 2|. <; 1. Simplify this inequality to -1 <. 2x - 2 <; 1. Add 2 to all parts of the inequality and you get 1 <. 2x < 3. Dividing by 2 gives 0.5 < × < 1.5. Since the difference between the upper and lower bounds is 1, the maximum value of δ is 0.5.

If \(ε = 0.1\):

Apply the same procedure to the inequality |2x - 2|. Simplifying to < by 0.1 gives -0.1 <. 2x - 2 <; Add 2 to every part of 0.1 and you get 1.9 <. 2x < 2.1. Divide by 2 to get 0.95 <. × < 1.05. The difference between the upper and lower bounds is 0.1, so the maximum value of δ is 0.05.

Therefore, \(ε = 1 δ ≤ 0.5 and ε = 0.1 δ ≤ 0.05\). 

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The horizontal distance between the boat and the shark is approximately 82.24 feet.

Let's call the horizontal distance between the boat and the shark "x". We can use the tangent function to find the value of x, since we have the angle of depression and the vertical distance between the boat and the shark.

We know that:

tan(19) = (28) / x

So, we can solve for x by dividing both sides of the equation by the tangent of 19:

x = (28) / tan(19)

The value of x can be found using a calculator or a table of trigonometric values.

Using a calculator, we can get an estimate of x:

x = 28 / tan(19) ≈ 28 / 0.340339

x ≈ 82.24 feet

Therefore, the horizontal distance between the boat and the shark is approximately 82.24 feet.

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Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

The term "ordered pair" refers to a pair of two variable that are shown in a way that they convey a specific order.

In an order pair, the first term denotes the x- and second term, the y-coordinates. The ordered pair is written in close brackets as shown in the example below.

Here ,

Is an equation system:

A set of equations is referred to as a system of equations when a limited set of equations is available and a common solution is sought.

The intersection of two lines, for the two equations drawn on a graph, represents the system's solution.

In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).

Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

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Answer:

\((x-3)^2=5\)

Step-by-step explanation:

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

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

\(x^2-6x+4=0\)

\(x^2-6x=-4\)

\(x^2-6x+9=-4+9\)

\((x-3)^2=5\)

Solving:

\(x-3=\pm \sqrt{5}\)

\(x=3 \pm \sqrt{5}\)

An equation is formed when two equal expressions. The equation by completing the square can be rewritten as (x-3)²=5.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be rewritten in the equation form by completing the square as,

x² - 4x + 4 = 2x

Bring the like terms on the same side of the equation,

x² - 4x - 2x + 4 = 0

Simplify the like terms of the equation,

x² - 6x + 4 = 0

Add positive 5 to both sides of the equation,

x² - 6x + 4 + 5 = 5

Solve the like terms,

x² - 6x + 9 = 5

Using the binomial property (a-b)²=a²+b²-2ab, x² - 6x + 9 can be written as,

(x - 3)² = 5

Hence, the equation by completing the square can be rewritten as (x-3)²=5.

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Answer: 7 and 1/2

Step-by-step explanation:

When dividing a fraction by a whole number you could turn the whole number into a fraction:

5 = 5/1

Once you turn the whole number into a fraction you then do the keep, change, flip, method

you would keep 5/1 as it is and change the divide sign to the multiplication sign the flip 2/3 to 3/2:

5/1 x 3/2

then you just multiply across

5/1 x 3/2 = 15/2

and 15/2 could be simplified to 7 and 1/2

15/12 is the right representation of  5 divided by 2/3 as a fraction.

To divide a number by a fraction, you can multiply the number by the reciprocal of the fraction. In this case, to divide 5 by 2/3, you can multiply 5 by the reciprocal of 2/3.

Reciprocal of 2/3 = 3/2

So, 5 divided by 2/3 can be written as:

5 * (3/2)

To simplify this, you multiply the numerators together and the denominators together:

(5 * 3) / (2 * 1) = 15/2

Therefore, 5 divided by 2/3 is equal to 15/2 as a fraction.

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Answer:

(450 + 348) · 7

equals 5586

Step-by-step explanation:

find the answer of 450 and 348, then multiply the answer by 7

Answer:

(450 + 348) x 7

Step-by-step explanation:

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer: 3

Step-by-step explanation: 74 divided by 6 = 12.333

Using the normal distribution, it is found that:

a. A male sailor whose waist is 34.1 inches is at the 87.5th percentile.

b. 5.7% of male sailors requires custom uniform pants.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 32.6, \sigma = 1.3\)

For item a, the percentile is the p-value of Z when X = 34.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (34.1 - 32.6)/1.3

Z = 1.15

Z = 1.15 has a p-value of 0.875.

Hence 87.5th percentile.

For item b, the proportion who does not require an special order is the p-value of Z when X = 36 subtracted by the p-value of Z when X = 30, hence:

X = 36:

Z = (36 - 32.6)/1.3

Z = 2.62

Z = 2.62 has a p-value of 0.996.

X = 30:

Z = (30 - 32.6)/1.3

Z = -2

Z = -2 has a p-value of 0.023.

0.996 - 0.023 = 0.943.

Hence the proportion who requires an special order is:

1 - 0.943 = 0.057.

5.7% of male sailors requires custom uniform pants.

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Answer:

x=5

Step-by-step explanation:

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Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

to check what type of conic it may be, we first check the squared variables, their coefficents and sign.

in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.

if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.

if the coefficients are different, like in this case, we have an ellipse.

Answer:

photo

Step-by-step explanation:

8 × 10⁻⁷

= 0.8 × 10⁻⁶

= 0.08 × 10⁻⁵

= 0.008 × 10⁻⁴

= 0.0008 × 10⁻³

= 0.00008 × 10⁻²

= 0.000008 × 10⁻¹

= 0.0000008

According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.

To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.

The rate of return on a four-year zero-coupon bond is then calculated as follows:

Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.

Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.

The expected rate in the third year can be calculated using the formula:

Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1

By substituting the values, we find:

Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%

If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:

Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%

Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.

Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:

Yield to maturity = (1000 / Price of bond)^(1/n) - 1

Substituting the values, we find:

Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%

Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.

In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

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To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.

Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.

To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.

The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.

To find the arc length, we use the formula

=> L = rθ,

where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.

To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.

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Answer:

y = 4x - 3

Step-by-step explanation:

The values in the x column increase by 1 each time.

The values in the y column increase by 4 each time.

Therefore, the slope of your equation should be 4.

The y-intercept is -3 when x = 0.

The final equation would be:

y = 4x - 3

Let's determine each person's travel schedule and mode of transportation based on the information provided:

The person departing for New York is Victoria and Albert's closest friend, and they are both travelling in a hired van.

The person travelling by air, the person going to Miami, Fred, or Victoria are not in maths class with the one heading to Anchorage.

Sam is not flying to Boston, and neither is the guy who is taking the flight.

The individual moving to Miami plays on the maths team with Donna's instructor, Albert's sister.

Victoria and Donna won't be using a land route.

Both Albert and Fred have modes of transportation that are made up of two words that share the same initial few letters.

Let's solve the puzzle using these hints:

Albert and Victoria cannot be travelling to New York, according to Clue 1.

According to hint 2, the individual travelling to Anchorage cannot be flying or be headed for Miami.

According to clue 3, neither Sam nor the guy travelling by aeroplane are headed to Boston.

According to clue 4, the individual moving to Miami is on the maths team with Donna's tutoring partner, Albert's sister. So, Albert's sister won't be travelling to Miami.

Donna and Victoria cannot be travelling in a family car, recreational vehicle, or rental van based on clue 5 because they are not going via land.

According to clue 6, Fred and Albert have means of transportation.

Let's examine the ensuing choices:

Locations: New York, Boston, Miami, San Diego, Anchorage

Aeroplane, cruise ship, family automobile and recreational vehicle

We can infer from hint 1 that the friend of Albert and Victoria is travelling to New York in a hired van. Albert and Victoria are therefore unable to travel to New York.

According to clue 2, the individual heading to Anchorage is neither flying or travelling to Miami. Consequently, a traveller to Anchorage either takes a cruise ship or a recreational vehicle.

According to the third hint, the individual flying is not headed to Boston. Therefore, the traveller to Boston has three options: family automobile, recreational vehicle, or cruise ship.

According to clue 4, the individual moving to Miami is on the maths team with Donna's tutoring partner, Albert's sister. Consequently, Donna is not travelling to Miami whereas Albert's sister is.

Donna and Victoria are not travelling by land, according to clue 5. Donna and Victoria will therefore be travelling by cruise ship or aeroplane.

According to hint number 6, Albert and Fred both use words with the same first letters as their modes of transportation. The only choices Albert and Fred have are a family automobile and a cruise.

Last Resort:

Albert: Cruise cruise, San Diego

Donna: Recreational vehicle, Anchorage

Fred: Family vehicle, Boston

New York, Sam Miami, aeroplane: rented Victoria van

1. The straight-line solutions are of the form y = kx + c, where k and c are constants.

2. The general solution is f(x) = kx + c, where k and c can be any real numbers.

3. The behavior of solutions depends on the value of k: if k > 0, the solutions increase as x increases; if k < 0, the solutions decrease as x increases; and if k = 0, the solutions are horizontal lines. The equilibrium point at (0, 0) is classified as a stable equilibrium point.

a) To identify the straight-line solutions, we need to find the points on the graph where the slope is constant. This means the derivative of the function with respect to x is a constant. Let's assume our function is f(x).

So, we have f'(x) = k, where k is a constant.

By integrating both sides, we get f(x) = kx + c, where c is an arbitrary constant.

Therefore, the straight-line solutions are of the form y = kx + c, where k and c are constants.

b) The general solution can be written as f(x) = kx + c, where k and c can be any real numbers.

c) The behavior of solutions depends on the value of k.
- If k > 0, the solutions will be increasing lines as x increases.
- If k < 0, the solutions will be decreasing lines as x increases.
- If k = 0, the solutions will be horizontal lines.

The equilibrium point at (0, 0) is classified as a stable equilibrium point because any small disturbance will bring the system back to the equilibrium point.

In summary, the straight-line solutions are of the form y = kx + c, where k and c are constants. The behavior of solutions depends on the value of k, and the equilibrium point at (0, 0) is a stable equilibrium point.

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The number is 276999