A and B are two similar shapes the area of shape A is 200cm2 calculate the area of shape B

Answer:

196.67

Step-by-step explanation:

14.2 x 13.85

which equals 196.67.

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Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

x=7 is the answer because 3 times 7 = 21 and 21 + 9 = 30

Answer:

The slope, m, is 2/3

Step-by-step explanation:

You need to find the slope  (m)

Pick to points on the line and find the coordinates

One point is (0,-2) and another point is (3,0)

We can use the slope formula

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

   = (0 - -2)/(3-0)

   = (0+2)/(3-0)

  = 2/3

Answer:

m=2/3

Step-by-step explanation:

The question is asking for the slope of the line. The standard form of a linear equation is y=mx+b where m is the slope. To find the slope you simply look at the change in y over the change in x. You can pick any two coordinate points to find the slope.

Here is the equation to find the slope; \((y_{1} -y_{2}) /x_{1}-x_{2}\)

I am picking the points (0,-2) and (3,0). Plug your points into the equation above- (-2-0=-2) and (0-3=-3) -2/-3= 2/3 (two negatives divided by each other make a positive.

To find the standard deviation of a sampling distribution, you need to calculate the mean, deviations, squared deviations, and sum of squared deviations, and then divide by n-1 before taking the square root.

To find the standard deviation of a sampling distribution, you can follow these steps:

1. Collect a sample of data from the population of interest.
2. Calculate the mean of the sample.
3. Calculate the deviation of each individual data point from the mean.
4. Square each deviation.
5. Sum up all the squared deviations.
6. Divide the sum of squared deviations by the sample size minus one (n-1).
7. Take the square root of the result obtained in step 6.

The standard deviation of the sampling distribution represents the average amount by which the sample means differ from the population mean. It measures the variability or dispersion of the sample means around the population mean.

Let's consider an example: Suppose you want to find the standard deviation of the sampling distribution of the sample means for the weights of apples. You collect a sample of 10 apples and find their weights. You calculate the mean weight of the sample, then calculate the deviation of each apple's weight from the mean, square each deviation, sum up the squared deviations, divide by 10-1, and finally, take the square root. This will give you the standard deviation of the sampling distribution.

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In Illustration 1, the task that is affected by the hyperperiod is neither one. Therefore, option b is the correct answer.

In Illustration 1, the task that is affected by the hyperperiod is neither one. Therefore, option b is the correct answer.

What is Hyperperiod?

Hyperperiod is a recurring sequence of events that occurs when multiple periodic activities or processes converge. It is usually the least frequent amount of time that occurs in periodic activities, which are activities that repeat themselves after a certain amount of time. The hyperperiod is the least common multiple (LCM) of the periods of all the periodic activities in a system.

Therefore, the LCM of 20, 25, and 30 is 300.IllustrationThe following illustration shows the scheduling of three periodic activities using the rate-monotonic scheduling algorithm. The periods of the activities are p1 = 20, p2 = 25, and p3 = 30, respectively.

In this example, the time scale is in units of time slots or ticks. Only the first two hyperperiods are shown in the figure because the schedule repeats after the second hyperperiod. The least common multiple of the periods is 300. The hyperperiod is the time interval in which the activities complete one complete cycle.The activities are scheduled in decreasing order of priority, which is determined by their periods.

The smaller the period, the higher the priority of an activity. It means that activities with shorter periods will execute before activities with longer periods. The execution of the activities is strictly periodic and preemptive. The tasks are allocated on a single processor that executes one activity at a time.Therefore, the task that is affected by the hyperperiod is neither one in Illustration 1.

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A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160feett/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

Given that 1)A gull can fly at a speed of 22 miles per hour and asked to convert its units to  foot/hour

2)An AMTRAK train travels at 125 miles per hour and is asked to convert its units to  miles/minute

1 mile=5280 feet

22 miles/hour=22 × 5280 foot/hour

22 miles/hour=116,160 foot/hour

1 hour=60 minute

125 miles/hour= 125/60 miles/minutes

125 miles/hour= 2.083 miles/minutes≈ 2.1miles/minutes

Therefore, A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160 feet/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

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Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

Here a six sided die is rolling fairly

The sample space = { 1,2,3,4,5,6}

Sample space of the experiment is the all the possible outcomes of the experiment.

Here 1, 2, 3, 4, 5 and 6 are the random outcomes of the experiment

Hence, rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

The complete question is:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.

a. That if a 1 is rolled it that means that each other number was not rolled.

b. That the only possible outcomes are​ 1, 2,​ 3, 4,​ 5, and 6.

c. That each result will not be influenced by the previous result of the die roll.

d. That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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A model without any simplifying assumptions b.is highly complex and likely unworkable.

As their call implies, simplifying assumptions are assumptions that are protected within the version to simplify the evaluation as tons as feasible. While a simplified version now does not predict the conduct of the actual issue within perfect bounds, too many simplifying assumptions have been made.

While a scientific version enables us to make predictions, it's more valued. As clinical models are representations of simplified explanations, they do not are looking for to explain each scenario or every detail. This means that medical models often aren't equal to the 'real international' from which they are derived.

Mathematical models can help college students apprehend and discover the that means of equations or valuable relationships.

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On a circle with center O, points P and A are marked such that the arc PA is a 46º arc. This implies that angle POA is half the measure of the intercepted arc PA, which is 23º. When segment PO is extended to meet the circle again at point T, the size of angle PTA is also 23º

In a circle, the measure of an inscribed angle is half the measure of its intercepted arc. Since arc PA is a 46º arc, angle POA, which intercepts arc PA, will have half that measure, which is 23º.

When segment PO is extended to meet the circle again at point T, we can observe that angle PTA is an inscribed angle. As a result, angle PTA will also have the same measure as its intercepted arc PT. Since point P lies on arc PT, which has a measure of 46º, angle PTA will also measure 46º.

This relationship between the intercepted arc and the inscribed angle is a fundamental property of circles. It allows us to determine the measure of an inscribed angle if we know the measure of its intercepted arc, and vice versa. In this case, the measures of both angle POA and angle PTA are determined by the 46º arc PA.

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Answer: well i am pretty sure it is yes

Step-by-step explanation:

Answer:

\(\frac{5}{12}\)

Step-by-step explanation:

Multiply straight across and reduce.

\(\frac{5}{8}\) · \(\frac{2}{3}\) = \(\frac{10}{24}\) = \(\frac{5}{12}\)

Please describe the question

Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.

True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.

A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).

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Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

the solution to the linear modular system {x = 5 (mod 9), x = -5 (mod 11)} is x ≡ 39 (mod 99) using Chinese Remainder Theorem.

To solve the linear modular system {x = 5 (mod 9), x = 1 (mod 11)}, we first note that 9 and 11 are coprime. Therefore, the Chinese Remainder Theorem guarantees the existence of a unique solution modulo 9 x 11 = 99.

To find this solution, we follow the method given in the proof of the theorem. We begin by solving each congruence modulo the respective prime power. For the congruence x = 5 (mod 9), we have x = 5 + 9m for some integer m. Substituting into the second congruence, we get:

5 + 9m ≡ 1 (mod 11)
9m ≡ 9 (mod 11)
m ≡ 1 (mod 11)

So we have m = 1 + 11n for some integer n. Substituting back into the first congruence, we get:

x = 5 + 9m = 5 + 9(1 + 11n) = 98 + 99n

Therefore, the solution to the linear modular system {x = 5 (mod 9), x = 1 (mod 11)} is x ≡ 98 (mod 99).

To solve the linear modular system {x = 5 (mod 9), x = -5 (mod 11)}, we follow the same method. Again, we note that 9 and 11 are coprime, so the Chinese Remainder Theorem guarantees a unique solution modulo 99.

Solving each congruence modulo the respective prime power, we have:

x = 5 + 9m
x = -5 + 11n

Substituting the second congruence into the first, we get:

-5 + 11n ≡ 5 (mod 9)
2n ≡ 7 (mod 9)
n ≡ 4 (mod 9)

So we have n = 4 + 9k for some integer k. Substituting back into the second congruence, we get:

x = -5 + 11n = -5 + 11(4 + 9k) = 39 + 99k

Therefore, the solution to the linear modular system {x = 5 (mod 9), x = -5 (mod 11)} is x ≡ 39 (mod 99).

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A triangle with given sides (2, 2, 3), and (3, 5, 6) is an obtuse triangle and can be determined using the Pythagorean theorem.

Given :

The sides of the triangle are 6 cm, 10 cm and 12 cm.

To determine which three numbers represent the sides of an obtuse triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, the square of the third side equals the sum of the squares of the short sides of a right triangle. That is:

    (H)² = (P)² + (B)²

Obtuse Triangle:

An obtuse triangle is a triangle with one interior angle greater than 90 degrees. In an obtuse triangle, if one angle is greater than 90°, the sum of the other two angles is less than 90°.

Obtuse triangle condition:   (P)² + (B)² < (P)²

Applying the obtuse triangle condition in option a) ( 4,7,8) is more than 8² .This means 4²+ 7²= 65 < 64. So option A) represents not an obtuse triangle.

Apply obtuse triangle condition in option B) (3,4,5) :

3² + 4² = 25

This is the same. Therefore, option B) does not represent an obtuse triangle.

Option C) applies the obtuse triangle condition: (2,2,3)

therefore, 2² + 2² < 3²

This is less than 3². So option C) represents an obtuse triangle. Apply

Option D) obtuse triangle condition greater than

Option D) (6,8,9) represents: 6² + 8² > 9²

Therefore, option D) does not represent an obtuse triangle.

Applying the obtuse triangle condition in option E) (3,5,6)

Which represents: 3² + 5² < 6²

This is less than 6².                                      

Therefore, option E) represents an obtuse triangle.

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Answer:

x=154/115

Step-by-step explanation:

120x+180-32=2x+6+3x

120x-148=5x+6

115x=154

x=154/115

The coterminal angle to -ㅠ/2 in the range between 0 and 2ㅠ radians is 3ㅠ/2.

For any angle A, all the coterminal angles are of the form:

B = A + n*(2ㅠ).

Where n is an integer different than zero.

In this case, the angle is A = -ㅠ/2

So the coterminal angles are of the form:

B = -ㅠ/2 + n*(2ㅠ)

We want it to be between 0 and 2ㅠ, so we can define n = 1, then we get:

B = -ㅠ/2 + (2ㅠ) = -ㅠ/2 + ((4/2)ㅠ) = 3ㅠ/2

Then we can conclude that the correct option is b.

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the monthly allowance of friend whose ratio is 2  = 4

the monthly allowance of friend whose ratio is 3 = 2.66

A "ratio" is just a comparison between, or a relating of, two different things. Ratios are used to create proportions by setting two ratios equal to each other and solving for some unknown, and ratios can also be used to find per-unit rates such as how many mile a car can drive "per liter" or how many hours the average student at a given university spends studying "per week".

The ratio of your monthly allowance to that of your friend is 2 to 3.

The monthly allowances total $40

2 + 3 =5

the monthly allowance of friend whose ratio is 2 = 40/5*2 = 4

the monthly allowance of friend whose ratio is 3  = 40/5*3 = 2.66

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The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

Step-by-step explanation:

y-intercept:5

slope:-½

linear equation slope intercept form:y=mx+b

therefore

y=-½x+5

our answer is D

Answer:

7+(5 3/10+ 2 2/10) = 12 5/10

The mathematical expression will be;

⇒ 7 + (5 3/10 + 2 2/10)

⇒ 145/10

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Seven plus the sum of five and three tenths and two and two tenths​.''

Now,

Since, The algebraic expression is,

''Seven plus the sum of five and three tenths and two and two tenths​.''

Hence, We can formulate;

The mathematical expression as;

⇒ 7 + (5 3/10 + 2 2/10)

⇒ 7 + (53/10 + 22/10)

⇒ 7 + (75/10)

⇒ (70 + 75) / 10

⇒ 145/10

Thus, The value of the expression is,

⇒ 145/10

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Considering the given probability distributions, distribution D is valid.

A probability distribution is valid if:

In this problem, only distribution D has a sum of 1, hence it is the only valid distribution.

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Answer:

Probability distribution D is shown. The probability of 1 is 0.2; 2 is 0.1; 3 is 0.1; 4 is 0.5; 5 is 0.1.

Step-by-step explanation:

The answer above is correct.

The derivative of the function f(x) = 6 can be found using the definition of the derivative. Since f(x) is a constant function, its derivative is always zero.

The derivative of a function measures the rate at which the function is changing at any given point. The definition of the derivative is the limit of the difference quotient as the change in x approaches zero:

f'(x) = lim Δx->0 (f(x + Δx) - f(x)) / Δx

In the case of the function f(x) = 6, we have a constant function. Regardless of the value of x or the change in x, f(x) will always be 6. Therefore, the numerator in the difference quotient will always be zero, resulting in f'(x) = 0.

This means that the rate of change of the function f(x) = 6 is zero at every point, indicating that the function is not changing with respect to x.

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