how does the overtone number relate to the standing wave pattern number, previously denoted with the variable nnn ?

The assumption being made in the calculation is that the two gauges are independent, which is not justified since both gauges are subject to the same potential cause of failure. The probability of 0.0001 is likely too low.

The assumption made in this calculation is about the failure of one gauge is independent of the failure of the other gauge. This assumption is probably not justified in the present case because the two gauges are connected to the same electric cables, and if a fire destroys the cables, both gauges will fail simultaneously.

The probability of 0.0001 is likely to be too low because the assumption of independence is violated, and the probability of both gauges failing simultaneously is likely to be higher than the product of their individual failure probabilities.

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The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the value of c is 17 cm.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given that a = 15 cm and b = 8 cm, then show the value of the c will be

It is clear that c is a hypotenuse. Then the hypotenuse is given by the Pythagoras theorem.

c² = a² + b²

c² = 15² + 8²

c² = 225 + 64

c² = 289

c = √289

c = 17 cm

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Answer:

sin A = 5/13

tan A  = 5/12

cos A  = 12/13

Step-by-step explanation:

sin A = Opp/Hyp = 5/13

tan A = Opp/Adj = 5/12

cos A = Adj/Hyp = 12/13

Hope this helps :)

Pi written as 3.l4 and π in mathematics is the ratio for the diameter of a circle to the circumference of that circle. The value is unending

Pi, which is represented by the Greek letter p, or, is a shorthand for the ratio of a circle's diameter to its circumference. No matter how big the circle is, this ratio will always be equal to pi. The value of pi is about 3.14 in decimal notation.

We are to multiply Pi to any equation

let the equation be (20.5 + 3x)\(\pi\)

pi is represented in numbers by 3.14

Hence we would have the equation to be of the form

(20.5 + 3x)3.14

multiply through the bracket

64.37 + 9.42x

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Answer: slope = \(\frac{1}{2}\)

Step-by-step explanation:

        Since we are given a graph with clear points, we will use "rise over run" by counting the units between points upwards and rightwards.

        Since this line is going up from bottom left to upper right, we have a positive slope.

        Starting at (0, -3) we count up one unit and right two units to (2, -2), giving us a slope of \(\frac{1}{2}\).

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

Answer:

The ratio of a number x and four added to two:

= 4x + 2 = 0

= 4x = -2

= 4x/4 = -2/4

= x = -2/4

= x = -1/2

Step-by-step explanation:

Hope this helped!

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

C. Squares always have four interior right angles; rhombi do not.

We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%

The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.

rate of change between 2002 and 2004=\(\frac{77-82}{82}\)x100=\(\frac{-5}{82}\)x100=-6.098%

rate of change between 2002 and 2006=\(\frac{78-82}{82}\)x100=\(\frac{-4}{82}\)x100=-4.88%

Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.

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It can be concluded that there is a significant positive correlation between the time it takes to complete a puzzle and the IQ scores of these participants.

To determine the correct decision about the null hypothesis test, we need to compare the calculated Pearson's correlation coefficient (r) of 0.31 to a critical value based on the sample size and level of significance.

Assuming a significance level of 0.05 (or alpha = 0.05) and a two-tailed test, we can use a t-distribution with degrees of freedom (df) equal to n-2, where n is the sample size. For a sample size of 97, df = 95.

Using a table or calculator, we can find the critical t-value that corresponds to a significance level of 0.05 and 95 degrees of freedom. The critical t-value is approximately 1.984.

Next, we can calculate the t-value for the observed correlation coefficient using the formula:

\(t = r * sqrt(n-2) / sqrt(1-r^2)\)

where r is the observed correlation coefficient and n is the sample size.

Plugging in the values, we get:

t = 0.31 * sqrt(97-2) / sqrt(1-0.31^2) = 3.23

The absolute value of the calculated t-value (3.23) is greater than the critical t-value (1.984), indicating that the correlation coefficient is statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no correlation between the time it takes to complete a puzzle and the IQ scores of the adult participants.

Therefore, we can conclude that there is a significant positive correlation between the time it takes to complete a puzzle and the IQ scores of these participants. However, we cannot make any causal claims based on this correlation alone, as there may be other variables that could explain the relationship.

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Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99

Answer:

32

Step-by-step explanation:

simplify

8 [-4 (3-2)]

multiply

8 [-4 (1)]

take absolute value: four becomes positive

8 [-4]

solve

8*4

32

Answer:

i believe its -32

Step-by-step explanation:

Well you start in the parentheses and you get 1 and then you multiply -4 x 1 and you get -4 and then multiply that by 8 and get -32

hope this helps

To determine if the population mean life span for Honolulu is less than 77 years based on the sample information, we can conduct a hypothesis test.

Let's set up the hypotheses: Null hypothesis (H₀): The population mean life span for Honolulu is 77 years. Alternative hypothesis (H₁): The population mean life span for Honolulu is less than 77 years.

We have a sample of 20 obituary notices, and the sample mean and sample standard deviation are not provided in the question. Without the specific sample values, we cannot calculate the p-value directly. However, we can still discuss the general approach to finding the p-value. Using the given assumption that life span in Honolulu is approximately normally distributed, we can use a t-test for small sample sizes. With the sample mean, sample standard deviation, sample size, and assuming a significance level (α), we can calculate the t-statistic.

The t-statistic can be calculated as: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

Once we have the t-statistic, we can determine the p-value associated with it. The p-value represents the probability of obtaining a sample mean as extreme as (or more extreme than) the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that the population mean life span for Honolulu is less than 77 years. If the p-value is greater than α, we fail to reject the null hypothesis.

Without the specific sample values, we cannot calculate the t-statistic and p-value.

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Answer:

3 dollars

Step-by-step explanation:

Answer:$ 149.95.

Step-by-step explanation:A product is marked down 15%; the sale price is $127.46. What was the original price? Substitute 127.46 for S.P and 15 for m in (1). So, the original price is $ 149.95.

i am pretty sure

Answer:

the answer is A because the height is 40 feet and the ground is 26°

Answer:

-4/3

Step-by-step explanation:

2^(8x-8)=4^7x

2^8x-8=4^7x

2^8x-8=4^2×7x

8x-8=2×7x

8x-8=14x

-8=14x-8x

-8=6x

-8/6=x

-4/3=x

x=-4/3

Step-by-step explanation:

SWT + TWU =180º therefore SWU must be a line. Aka SWU is linear. So SWT and TWU must be a linear pair.

SWT + SWT = 180º therefore 2SWT=180º deviding both sies by 2 we get SWT = 90º Therefore SWT is replacing TWU. SWT is substituted into TWU. So substitution.

SU | TV basically means the line that passes through both points S and U is perpendicular to the line that passes through both points T and V. Therefore it is the Defenition of perpendicular lines.

If this helped please rate the answer.

If the number of tomato growers in the market increases, it would generally lead to an increase in the supply of tomatoes increases.

The correct answer is A.

The correct answer is A.

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For the algorithm that requires f(n) bit operations with the given function f(n),  Thus, the largest n for which one can solve within a day using an algorithm that requires f(n) bit operations with the given function f(n) are:Part \(A: n ≈ 3,166Part B: n ≈ 96Part C: n ≈ 11\)

Hence, the number of bit operations in a day will be\((24 * 60 * 60 * (10^11)) / (10^-11) = 8.64 × 10^21.For f(n) = 1000n^2\),

the number of bit operations is \(f(n) = 1000n^2.If we set f(n) equal to 8.64 × 10^21,\)

we can solve for n:\(8.64 × 10^21 = 1000n^2n^2 = 8.64 × 10^18n ≈ √(8.64 × 10^18 / 1000)n ≈ 3,166\)Part B:For the algorithm that requires f(n) bit operations with the given function f(n), the largest n can be solved within a day is 96 using the given function \(f(n) = 2^n\), where each bit operation is carried out in 10-12 seconds.

Hence, the number of bit operations in a day will be \((24 * 60 * 60 * (10^4)) / (10^-4) = 8.64 × 10^10.\)

For\(f(n) = 22n,\)

the number of bit operations is\(f(n) = 22n.\)

If we set f(n) equal to \(8.64 × 10^10\), we can solve for n:\(8.64 × 10^10 = 22nn ≈ log2(8.64 × 10^10) / log2(2^2)n ≈ 11\)

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We can calculate the number of people suffering malnutrition in the world by using the Rule of three:

If 200 is the total population, then 28 suffer from malnutrition.

Then, if the total population is 6.9 billion people, x suffer from malnutrition:

Answer: The number of people of the world's population that suffer from malnutrition is 0.97 billion.

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

when you plug in the numbers, it is (6)(1/2)(7)

You then solve in order: 6 x 1/2 = 3

3 x 7 = 21

hope this helps

The image of the point after the rotation is:

(-6, 7)

We have the point (-7, -6) and we want to apply a rotation of 270° counterclockwise.

This is equivalent to a rotation of 90° clockwise, so we will go from the third quadrant to the second quadrant, such that:

Then the image after the rotation is:

(-6, 7)

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Answer:

I believe 188.68

Answer:

188.68

Step-by-step explanation:

first we divide 11/100 =0.11 then 0.11*212= 23.32

then 212-23.32= 188.68

In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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Answer:

A. -146

Step-by-step explanation

46th term = -11 + ( 46 -1) (-3)

= -11 + (45)(-3)

=-11 -135

= - 146

Answer:

x = -18, y = 14

Step-by-step explanation:

4x + 6y = 12

x + 2y = 10

Divide both sides of the first equation by 2. Write the second equation below it.

2x + 3y = 6

x + 2y = 10

Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.

      2x + 3y = 6

(+)  -2x - 4y = -20

-------------------------

             -y = -14

y = 14

Substitute 14 for y in the second equation and solve for x.

x + 2y = 10

x + 2(14) = 10

x + 28 = 10

x = -18

Solution: x = -18, y = 14

The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.

As given in the question,

Given zeros of the polynomial function are :

3, 2, -1

⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0

Polynomial function of the given factors  ( x - 3 ) =0 or ( x - 2 ) = 0 or

( x + 1 ) = 0 is given by :

f (x ) = ( x - 3 )( x - 2 )( x + 1 )

⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )

⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )

⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6

⇒f(x) = x³ - 4x² + x + 6

Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.

The complete question is:

Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?

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