If AM=25CM, MC=20CM, MN=30CM, NC=35CM. What is the scale factor

Step-by-step explanation:

1.

\(2d + 3 \leqslant - 11 \\ 2d \leqslant - 11 - 3 \\ 2d \leqslant - 14 \\ \frac{2d}{2} \leqslant \frac{ - 14}{2} \\ d \leqslant - 7\)

2.

\(3d - 9 > 15 \\ 3d > 15 + 9 \\ 3d > 24 \\ \frac{3d}{3} > \frac{24}{3} \\ d = 8\)

Welcome

Answer:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

In the image below, Center A is located at the center of the circle and is marked by a red dot.

Circle is a two-dimensional geometric figure that consists of all points in a plane that are at a given distance from a given point, the centre. A circle is a simple closed shape in Euclidean geometry. It is the set of all points in a plane that are at the same distance from its centre. A circle can be defined as the locus of a point moving at a constant distance from a fixed point. It is one of the most basic shapes in geometry. It is also known as a circular arc, a closed curve, and a simple closed curve. Circular shapes are used in many areas of design, from logos to furniture.

Diameter DE is marked with a dashed line and is the longest line that can be drawn within the circle, extending from point D to point E. Radius AC is marked with a solid line, extending from point A to point C. Central angle PAC is marked by the red arc and is the angle between points P and A. Lastly, tangent OB is marked with a dotted line and is a straight line that touches the circle at only one point (point B). This line is perpendicular to the radius AC.

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complete questions as follows-

Draw your own circle and illustrate the following:
1. Center A
2. Diameter DE
3. Radius AC
4. Central angle PAC
5. Tangent OB​

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

In reliability engineering, systems can be represented in terms of components that need to function or fail for the system to function or fail.

The notation koon:G represents the number of components that need to function for the system to function, while koon:F represents the number of components that need to fail to cause system failure. The goal is to determine the value of x in different scenarios to understand the system's behavior.

(a) To find the number x such that a 2004:G structure corresponds to a xoo4:F structure, we need to consider that the total number of components is n = 4. In a 2004:G structure, all four components need to function for the system to function. Therefore, we have koon:G = 4. In an xoo4:F structure, all components except x need to fail for the system to fail. In this case, we have koon:F = n - x = 4 - x.

Equating the two expressions, we get 4 - x = 4, which implies x = 0. Therefore, a 2004:G structure corresponds to a 0400:F structure.

(b) To determine the number x such that a koon:G structure corresponds to a xoon:F structure, we have k components that need to function for the system to function. Therefore, koon:G = k. In an xoon:F structure, x components need to fail for the system to fail.

Hence, we have koon:F = x. Equating the two expressions, we get k = x. Therefore, a koon:G structure corresponds to a koon:F structure, where the number of components needed to function for the system to function is the same as the number of components needed to fail for the system to fail.

By understanding these representations, we can analyze system reliability and determine the criticality of individual components within a larger system. This information is valuable in designing robust and resilient systems, as well as identifying potential points of failure and implementing appropriate redundancy or mitigation strategies.

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approximately 75.8% of college students will take more than 4.22 minutes when trying to find a parking spot in the library parking lot.

To find the number of minutes that 75.8% of college students will take or exceed when trying to find a parking spot in the library parking lot, we need to use the properties of the normal distribution and its associated Z-scores.

Since we are given the mean (μ = 3.5 minutes) and the standard deviation (σ = 1 minute), we can use these values to calculate the Z-score corresponding to the desired percentage.

First, we need to find the Z-score corresponding to the cumulative probability of 0.758. We can use a standard normal distribution table or a calculator to find this Z-score.

Using a standard normal distribution table, we can find that the Z-score corresponding to a cumulative probability of 0.758 is approximately 0.72.

Now, we can use the Z-score formula to find the corresponding value in terms of minutes:

Z = (X - μ) / σ

0.72 = (X - 3.5) / 1

0.72 = X - 3.5

X = 3.5 + 0.72

X ≈ 4.22

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Answer:

10^14

10^27

10^18

10^6

10^6

10^35

Step-by-step explanation:

all of them are in order

If two powers are being mulitplied from the same base, then they are multiplied. For example, if 10^3 is being multiplied to 10^2, then the answer is 10^6.

If a power is being raised to another power, then the powers are multiplied. For example (10^7)^2 then the a simple form would be 10^14

Exponents get added together when multiplied.

A. 10^9

B. 10^12

C. 10^9

D. 10^5

E.10^5

F.10^12

Answer:

Im pretty sure its 21 feet! :)

Answer:

One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.

Step-by-step explanation:

Distance = rate times time

Both motorcycles have a time of 3.  We do not know the rates, but we know that one motorcycle's rate was 8 miles an hour faster.  Let's call motorcycle 1's rate x then motorcycle 2's rate must be (x + 3)

Motorcycle 1

d = 3x

Motorcycle 2

d = 3(x +8)

We know that the total distance together is 288

3x + 3(x+8) = 288  Distribute the 3

3x + 3x + 24 = 288  Combine the 3's

6x + 24 = 288  Subtract 24 from both sides of the equation

6x = 264  Divide both sides by 6

x = 44

One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.

Answer:(x,z)=(5,-3)

Step-by-step explanation:

Given

We move  5 units in x-axis

3 units in downward along z-axis

Suppose a z-axis is vertical and x -axis is horizontal as shown in fig.

So, coordinates after movement is given by the movement along x-axis and z-axis.

So, final coordinates is (5,-3) in x-z Plane .

As there is no movement in z-axis , so Y-coordinate will remain zero.

The lengths of the diagonals or "hips" of the trapezoid are:

d1 = 10 cm

d2 = 4 cm

In an inscribed trapezoid, the opposite angles are supplementary, meaning they add up to 180 degrees. Since one of the angles in the trapezoid is 120 degrees, the opposite angle will be 180 - 120 = 60 degrees.

Now, let's label the trapezoid. Let A and B be the endpoints of the longer base, with AB = 10 cm, and let C and D be the endpoints of the shorter base, with CD = 4 cm. Let E be the intersection point of the diagonals, creating two triangles within the trapezoid.

Since the opposite angles at the intersection point of the diagonals are equal, we have angle AEC = angle BDE = 60 degrees.

Since the sum of the angles in a triangle is 180 degrees, we can find angle AED by subtracting the sum of angles AEC and BDE from 180 degrees:

angle AED = 180 - (angle AEC + angle BDE)

angle AED = 180 - (60 + 60)

angle AED = 60 degrees

Now, let's consider triangle AED. It is an isosceles triangle since AE = ED (both are radii of the circle). Thus, angle ADE = angle AED = 60 degrees.

We have angle AED = angle ADE = 60 degrees, and angle AEB = 120 degrees. Therefore, angle ABE = 180 - (angle AED + angle AEB) = 180 - (60 + 120) = 0 degrees.

Angle ABE being 0 degrees means that line AB is parallel to line CD. Hence, the trapezoid is actually a rectangle.

In a rectangle, the diagonals are equal in length. Let's denote the length of the diagonals as d1 and d2.

Since AB and CD are the bases of the trapezoid, d1 is equal to the longer base AB, and d2 is equal to the shorter base CD:

d1 = 10 cm

d2 = 4 cm

Therefore, the lengths of the diagonals or "hips" of the trapezoid are:

d1 = 10 cm

d2 = 4 cm

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Answer:

6 and -8

-6 and 8

Step-by-step explanation:

___· ___ = (-48)

Is the same as:

___· ___ = -48

A positive number multiplied by a negative number has a negative product.

P * N = N

Two positive numbers and two negative numbers have a positive product.

P * P = P

N * N = P

6 and -8  and -6 and 8 would be the correct answers. Again, a positive and a negative number will have a negative product.

6 * -8 = -48

-6 * 8 = -48

Hope this helps.

"The school sold 8 adult tickets and 5 child tickets for a total of $104", we can express it as follows

"On the second day they sold 4 adult tickets and 6 child tickets for a total of $80", we can express it as follows

These two equations form a linear system of equations, which we can solve by multiply the second equation by -2

Then, we combine the equations

Now, we find x

According to this solution, each adult ticket costs $8 and each child ticket costs $8.

If they sold 10 adult tickets and 4 child tickets on the third day, then they made

If they sold 22 adult tickets and 8 child tickets on the last day, then they made

Answer:

4a+2f

2(2a+f)

Step-by-step explanation:

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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The simplified form of the given expression is 45.

The given expression is 32+(6-2)4-3.

An expression in math is a sentence that contains at least two numbers/variables and at least one math operation. The mathematics operators will be addition, subtraction, multiplication and division.

The expression is 32+(6-2)4-3.

Firstly, we will simplify the subtraction which is in the bracket, we get

32+(6-2)4-3=32+(4)4-3

Now, we will simplify the multiplication, we get

32+(6-2)4-3=32+16-3

Further, we will simplify the addition, we get

32+(6-2)4-3=48-3

Furthermore, we will simplify the subtraction, we get

32+(6-2)4-3=45

Hence, the simplified form of the given expression 32+(6-2)4-3 is 45.

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If f(x) = arcsec(3x), then

sec(f(x)) = sec(arcsec(3x))

sec(f(x)) = 3x

But bear in mind that the right side reduces in this way only if 0 ≤ f(x) ≤ π.

Differentiating both sides using the chain rule gives

sec(f(x)) tan(f(x)) f'(x) = 3

so that

f'(x) = 3 cos(f(x)) cot(f(x))

f'(x) = 3 cos(arcsec(3x)) cot(arcsec(3x))

We *could* stop here, but we can usually simplify these nested trig and inverse trig expressions to end up with an simpler algebraic one. Consider a right triangle with a reference angle measuring θ = f(x) = arcsec(3x). Then sec(θ) = 3x. It follows from the definition of secant, and subsequently the Pythagorean identity, that

• cos(θ) = 1/sec(θ) = 1/(3x)

• sin(θ) = √((3x)² - 1²) = √(9x² - 1)/(3x)

but remember that we assume 0 ≤ θ ≤ π. Over this interval, sin(θ) can be either positive or negative, which we account for by replacing x with |x|, so that

• sin(θ) = √(9x² - 1)/(3|x|)

So, we have

cos(arcsec(3x)) = 1/(3x)

cot(arcsec(3x)) = (1/(3x)) / (√(9x² - 1)/(3|x|)) = |x|/(x √(1 - 9x²))

and so

f'(x) = 3 • 1/(3x) • |x|/(x √(1 - 9x²))

It's easy to show that |x|/x = x/|x|, so we can rewrite this as

f'(x) = 3 • 1/(3x) • x/(|x| √(1 - 9x²))

f'(x) = 1/(|x| √(1 - 9x²))

Answer: Monthly Payment = $ 86.76

Step-by-step explanation: if u listed a amount of months i could've got it

this might be false though

Answer:

2(x + 5)

Step-by-step explanation:

1. Common factor

2x + 10

2(x + 5)

Solution

2(x + 5)

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The given statement " selecting either a polygon or an area will always reveal its perimeter" is a true statement.

A polygon is a simple closed curve. So,a closed curve occupies area. And it also have perimeter.

When we use the word area, it describes two dimensional closed geometrical object.It is not necessary that ,the shape is polygon only, it should be a simple closed curve.For,example, circle, Combination of Part of curve and line segments, but it should be a closed curve.

And the countionous line forming the boundary of a closed geometrical figure is called perimeter.

So, a polygon, being a bounded plane figure, has perimeter.

Hence, the given statement " selecting either a polygon or an area will always reveal its perimeter" is a true statement.

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Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

Answer:

April Beginning Balance $ 1,633,427

Step-by-step explanation:

The closing balance of January is the opening balance of February

February,

Opening Balance $1,234,567

Add Payment received on invoices $825k

Less Cost of sales $198k,

Less Overheads $356k ,

Less Other Expenses $92k .

February Ending Balance $ 1,413, 567

March

Beginning Balance $ 1,413, 567

Add Payment received on invoices $825k *1.12= 924 k

Less Cost of sales $198k *1.09= 215.82k

Less Overheads $356k *1.09= 388.04k

Less Other Expenses $92k *1.09= 100.28k

March Ending Balance = $ 1,633,427

April Beginning Balance $ 1,633,427

Treating the Costs of Sales, Overheads and the other expenses as the expenses paid out of the Bank Balance meaning no accounts payable or other cash paid.

Answer:

-4x³ + 4xy

Step-by-step explanation:

distribute -4x by 'x²' and '-y'

-4x(x²) = -4x³

-4x(-y) = 4xy

Answer:

-4x^3+4xy

Step-by-step explanation:

Distribute the -4xy

 \( L_{1} \) does not belong to the regular language class.

The language \( L_{1}=\left\{01^{a} 0^{a} 1 \mid a \geq 0\right\} \) consists of strings with a single '01', followed by a sequence of '0's, and ending with a '1'.

The language \( L_{1} \) cannot be described by a regular expression and is not a regular language. In order for a language to be regular, it must be possible to construct a finite automaton (or regular expression) that recognizes all its strings. In \( L_{1} \), the number of '0's after '01' is determined by the value of \( a \), which can be any non-negative integer. Regular expressions can only count repetitions of a single character, so they cannot express the requirement of having the same number of '0's as '1's after '01'. This makes \( L_{1} \) not regular.

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The function you're referring to is likely a periodic function, as Fourier series expansions are typically used for periodic functions.

The convergence of the Fourier series expansion depends on the properties of the function, such as its continuity and differentiability.

If the function is continuous and piecewise smooth, then the Fourier series will converge to the function itself.

However, if the function is not continuous or not piecewise smooth, then the Fourier series may not converge uniformly.

In some cases, the Fourier series may converge to a different function altogether, known as a Fourier series of the function.

Therefore, to determine the value at which the Fourier series converges, you would need to analyze the properties of the function itself.

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Answer:

Ummmmmmmmmm

Step-by-step explanation: