Two shapes with equal perimeter are pictured below.




What is the measure, in units, of CD¯¯¯¯¯¯¯¯?

Answer:

20/48 = 42%

Step-by-step explanation:

Number of beige tiles

Probability (Beige)

Answer:

20/48 ≈ 42%

Step-by-step explanation:

Total number of tiles = 48

Beige tiles = Total number of tiles - yellow - blue - green - red

                  = 48 - 8 - 6 - 9 - 5

                  = 20

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

\(\implies \textsf{P(coin landing on beige tile)}=\sf\dfrac{20}{48} \approx42\%\)

Answer:

27.5

Step-by-step explanation:

You know that the member ship is 20 dollars. For every movie rented you pay 2.5 dollars, and if you rent out 3 movies you can multiply 3 by the value of each movie

2.50 x 3 =7.5

20 + 7.5 = 27.5

Hope this helps

Answer:

below

Step-by-step explanation:

that is the procedure above

9514 1404 393

Answer:

  y = 2x +1

Step-by-step explanation:

The line rises 2 units for each 1 unit to the right, so its slope is ...

  m = rise/run = 2/1 = 2

The line crosses the y-axis at y = 1, so the y-intercept is ...

  b = 1

Then the slope-intercept form equation is ...

  y = mx + b . . . . . . . for slope m and y-intercept b

  y = 2x + 1 . . . . . . . . fill in the known values

Answer:

-12

Step-by-step explanation:

Each number is multiplied by -3 to get the next number. 4*(-3)=-12.

Answer:

a) 126degrees

b) 47degrees

Step-by-step explanation:

The sum of two supplementary angles is 180 degrees.

Let the other angle be x

x  + 54 = 180

x = 180 - 54

x = 126degrees

The supplement is 126degrees

b) The sum of two complementary angles is 90 degrees.

Let the other angle be y

y  + 43 = 90

y = 90 - 43

y = 47degrees

Hence the complement is 47 degrees

Answer:

m=2

Step-by-step explanation:

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

If two samples have the same mean but different standard deviations, the sample with the larger standard deviation will have a wider 95% confidence interval.

This is because the standard deviation is a measure of the variability of the data, and a larger standard deviation indicates that the data points are more spread out from the mean.

The confidence interval is a range of values that we can be reasonably confident contains the true population mean. The width of the confidence interval depends on the standard error of the mean, which is calculated as the standard deviation of the sample divided by the square root of the sample size.

Since the larger standard deviation in sample b implies a larger standard error of the mean, the confidence interval for sample b will be wider than that of sample a, even though both samples have the same mean and sample size. We will be less precise in estimating the true population mean with sample b than with sample a.

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9514 1404 393

Answer:

  6

Step-by-step explanation:

Dilation about the origin multiplies each coordinate by the scale factor. We can find the scale factor by considering the x-coordinates of A and A'.

  scale factor = Ax'/Ax = 18/3 = 6

The scale factor is 6.

Answer:

4

Step-by-step explanation:

There are 2 outcomes for the first flip and 2 outcomes for the second flip

Multiply

2*2 = 4

could you please re post the question clearly as right now I don't understand what this means, you can try just taking a picture of the question and attach it to your post

Answer: infinite solutions

Step-by-step explanation:

(−3) (4) + (−3) (−3x) = 9x + −12

−12 + 9x = 9x + −12

9x − 12 = 9x − 12

9x − 12 − 9x = 9x − 12 − 9x

−12 = −12

−12 + 12 = −12 + 12

0 = 0

Answer:

1

Step-by-step explanation:

-25x = - 25

X = - 25/-25 = 1

I HOPE IT WILL HELP YOU.

Thank you.

Sry if it is wrong.

245

Step-by-step explanation:

b

Answer:56

Step-by-step explanation:

If two variables are correlated, a change in one must directly produce a change in the other. (False)

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.

False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.

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 The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. The Slope is - ⅖.

Y-intercept = (0, 4), where b = 4

Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:

Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x -2x + 5y = - 2x + 20

5y = -2x + 20

Divide both sides by 5 to isolate y:

y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4.  The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).

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Function has the following domain and range is {(3,0), (-3,-4), (11,2), (0,-4), (-5,0)}

The domain of a function is the set of its possible inputs, which means the set of input values where for which the function is defined.

The domain is the value of x coordinates

The possible value of x coordinate is =  {-5, -3, 0, 3, 11}

The range the set of all possible values that the function will give when we give in the domain as input.

The range is the value of y

The possible value of y coordinate is = { -4, 0, 2}

Function will be   {(3,0), (-3,-4), (11,2), (0,-4), (-5,0)}

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The question is incomplete the complete question is:

Which function has the following domain and range? Domain: {-5, -3, 0, 3, 11} Range: {-4, 0, 2 }

After analyzing all the critical paths  the maximum possible reduction in the project duration is 1 week. The correct option is d. 1 week.

To determine the maximum possible reduction in the project duration within the given budget, we need to analyze the critical paths and crashing costs.

The crashing cost per week for activity A is $540 in the first week and $1080 per week from the second week onwards. For activity E, it is $545 in the first week and $1350 per week thereafter. For all other activities, the crashing cost is $135 per activity per week in the first week and $405 per activity per week thereafter.

Considering the crashing budget of $2300, let's calculate the maximum reduction for each critical path:

A-B-C-D-E: The total crashing cost for this path is $1350 (for A and E) + $405 (for B, C, and D) = $1755 per week. With a budget of $2300, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Therefore, the maximum reduction for this path is 1 week.

A-F-E: The total crashing cost for this path is $1350 (for E) + $405 (for F) = $1755 per week. With the given budget, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Hence, the maximum reduction for this path is 1 week.

A-B-H-J-K-E: The total crashing cost for this path is $1350 (for A and E) + $810 (for B, H, J, and K) = $2160 per week. This path can be crashed for a maximum of $2300 / $2160 = 1.06 weeks. Thus, the maximum reduction for this path is 1 week.

A-S-T-E: The total crashing cost for this path is $1350 (for A and E) + $540 (for S and T) = $1890 per week. This path can be crashed for a maximum of $2300 / $1890 = 1.22 weeks. Hence, the maximum reduction for this path is 1 week.

After analyzing all the critical paths, we observe that the maximum possible reduction in the project duration is 1 week.

The correct option is d. 1 week.

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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The area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

What is integration?

In mathematics, and notably in calculus, integration is a fundamental notion. It is a mathematical process that seeks to determine a function's integral. The accumulation or total of all infinitesimally small changes in a quantity is represented by the integral.

To find the area of the region enclosed by the curve r = 9cos(3θ), we can set up a double integral in polar coordinates.

In polar coordinates, the area element is given by dA = r dr dθ. To determine the limits of integration, we need to find the values of θ where the curve intersects itself and encloses a region.

The polar curve r = 9cos(3θ) completes one loop for every 2π/3 radians, so we can integrate over the range 0 ≤ θ ≤ 2π/3. The corresponding limits for r can be determined by setting r = 0 and solving for θ.

At r = 0, we have:

0 = 9cos(3θ)

cos(3θ) = 0

The equation cos(3θ) = 0 has solutions at θ = π/6, π/2, 5π/6. These values divide the interval [0, 2π/3] into three subintervals.

Now we can set up the double integral:

Area = ∬R dA

Using polar coordinates, we have:

dA = r dr dθ

The limits of integration are:

0 ≤ r ≤ 9cos(3θ)

0 ≤ θ ≤ 2π/3

Thus, the double integral becomes:

Area = ∫[0 to 2π/3] ∫[0 to 9cos(3θ)] r dr dθ

Now we can evaluate this double integral:

Area = ∫[0 to 2π/3] (1/2)r² ∣[0 to 9cos(3θ)] dθ

Area = (1/2) ∫[0 to 2π/3] (81cos²(3θ)) dθ

Using the trigonometric identity cos²(3θ) = (1 + cos(6θ))/2, we can simplify further:

Area = (1/2) ∫[0 to 2π/3] (81/2)(1 + cos(6θ)) dθ

Area = (81/4) ∫[0 to 2π/3] (1 + cos(6θ)) dθ

Now we can integrate term by term:

Area = (81/4) [(θ + (1/6)sin(6θ)) ∣[0 to 2π/3]]

Area = (81/4) [(2π/3 + (1/6)sin(4π) - (1/6)sin(0))]

Simplifying further:

Area = (81/4) [(2π/3 + 0 - 0)]

Area = (81/4) (2π/3)

Area = (27/2)π

Therefore, the area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

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The deflection at point A is given by (loka/2EIm²) * (A⁵/60) - (20lokaA²)/(2EIm²).

Given:

w = loka/m² B Ang Amau = 6m EI = 1000 KN m².

To find the deflection of the given beam, we use the double integration method.

Step 1: Find the equation of the bending moment.

Magnitude of the bending moment (M) = ∫Wx dx = (loka/m²) * ∫x dx = (loka/m²) * (x²/2)

We know, EI(d²y/dx²) = M

EI(d²y/dx²) = (loka/m²) * (x²/2)

⇒ (d²y/dx²) = (loka/m²EI) * (x²/2)

The differential equation of the deflection curve of the beam is obtained by integrating the above equation twice.

∫(d²y/dx²)dx = ∫((loka/m²EI) * (x²/2))dx = (loka/2EI*m²) * (x⁴/12)

∴ (dy/dx) = (loka/2EI*m²) * (x⁴/12) + C₁

∫(dy/dx)dx = ∫((loka/2EIm²) * (x⁴/12) + C₁)dx = (loka/2EIm²) * (x⁵/60) + C₁*x + C₂

∴ y = (loka/2EIm²) * (x⁵/60) + C₁x²/2 + C₂*x + C₃

where C₁, C₂, and C₃ are constants of integration.

Step 2: Apply boundary conditions to find the constants of integration.

The deflection at the left end of the beam (x = 0) is zero.

y(0) = 0 = C₃

∴ C₃ = 0

The slope of the deflection curve at the left end of the beam (x = 0) is zero.

dy/dx | x=0 = 0 = (loka/2EIm²) * (0⁴/12) + C₁0 + C₂

∴ C₂ = 0

The deflection at the right end of the beam (x = 6m) is zero.

y(6) = 0 = (loka/2EIm²) * ((6)⁵/60) + C₁(6)²/2

∴ C₁ = -(20loka)/(EIm²)

Step 3: Substitute the values of the constants of integration into the general equation of deflection.

y = (loka/2EIm²) * (x⁵/60) - (20lokax²)/(2EIm²)

The deflection at the given point A is:

y(A) = (loka/2EIm²) * (A⁵/60) - (20lokaA²)/(2EIm²)

Thus, the deflection at point A is given by (loka/2EIm²) * (A⁵/60) - (20lokaA²)/(2EIm²).

The solution is done using the double integration method. The solution is presented in a clear and concise manner, and it is easy to follow.

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Answer: 1, 2, & 5.

Step-by-step explanation:

1) ∠M ≅ ∠M''

2)△LMN ~ △L''M''N''

5)The coordinates of vertex N'' are (3, -1.5).

Answer:

Step-by-step explanation:

\(Sin \ 23^ \circ = \dfrac{opposite \ side}{hypotenuse}\\\\\)

\(\sf 0.3907 = \dfrac{ x}{7}\\\\\\0.3907*7 =x\)

x = 2.7

Answer:

x = 2.7  to nearest tenth.

Step-by-step explanation:

sin 23 = x / 7

x = 7 sin 23

x = 2.735

As per the question, in context of mathematics the relation between 2 and 2 is equality relationship.

n mathematics, an equality relationship is a relationship between two quantities or expressions that are equal to each other. This relationship is represented using the equals sign (=).

Relations are important in mathematics because they allow us to describe and analyze the relationships between different quantities or values. Relations can be used to describe how two quantities are related to each other, such as whether they are equal, greater than, or less than each other.

The relationship between 2 and 2 is that they are both equal to each other. In mathematics, two is a number that is equal to the sum of one plus one. It is a cardinal number, which means it is used to count the number of objects in a set. Two is also an even number, which means it is divisible by 2 without a remainder.

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The equation ax + by = c has integer solutions if and only if (a,b) | c, as the presence of integer solutions implies the divisibility of the GCD, and the divisibility of the GCD guarantees the existence of integer solutions.

The equation ax + by = c represents a linear Diophantine equation, where a, b, c, x, and y are integers. The statement "(a,b) | c" denotes that the greatest common divisor (GCD) of a and b divides c.

To understand why ax + by = c has integer solutions if and only if (a,b) | c, we need to consider the properties of the GCD.

If (a,b) | c, it means that the GCD of a and b divides c without leaving a remainder. In other words, a and b are both divisible by the GCD, and thus any linear combination of a and b (represented by ax + by) will also be divisible by the GCD. Therefore, if (a,b) | c, it ensures that there exist integer solutions (x, y) that satisfy the equation ax + by = c.

Conversely, if ax + by = c has integer solutions, it implies that there exist integers x and y that satisfy the equation. By examining the coefficients a and b, we can see that any common divisor of a and b will also divide the left-hand side of the equation. Hence, if there are integer solutions to the equation, the GCD of a and b must divide c.

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Answer:

0.25

Step-by-step explanation:

So, to convert a fraction to a decimal, divide the numerator by the denominator.

3/12 = 0.25

Find the decimal form of 3/12

solution,

3/12 = 0.25 Answer

Based on the information that has been provided, it is not possible to conclude whether there are a greater number of philosophers or mathematicians.

The statement only provides information regarding the proportion of mathematicians to philosophers and vice versa; it does not provide information regarding the total number of people working in either subject. It is possible that there are a greater number of philosophers, a greater number of mathematicians, or an equal number of both. We would need further information, such as the overall number of people in the fields, in order to accurately establish the number of persons who are present in each field specifically.

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