likewise 133 degree is equal to 87 degree in the second at what temperature will both thermometer read the same​

To calculate the 95% confidence interval estimate for the population mean, we need the sample size (n), the sample mean (x(bar)), and the standard deviation (σ) of the sample.

It's important to note that you haven't provided the sample size or the standard deviation. However, assuming that you have a reasonably large sample size (typically n ≥ 30) and the population standard deviation is known, I can provide you with a general formula for calculating the confidence interval.

The formula for the confidence interval is:

Confidence Interval = x(bar) ± Z * (σ / √n),

where:

- x(bar) is the sample mean,

- Z is the Z-score corresponding to the desired confidence level (in this case, 0.95),

- σ is the population standard deviation, and

- n is the sample size.

Since the sample size (n) and the standard deviation (σ) are not provided, I won't be able to give you the specific confidence interval estimate in this case. However, you can use the formula provided above by substituting the appropriate values to calculate the confidence interval for your specific data.

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Answer:

root 324=18

root 441=21

root 529=23

Step-by-step explanation:

root 324 = 18

root 441 = 21

root 524 = 23

Answer:

The jet would Travel 900 miles in 10 hours. The jet travels at 90 miles per hour

Step-by-step explanation:

The distance that could the jet fly in 10 hours is 900 miles.

And, the rate of speed should be 90 miles per hour.

Since A jet travels 450 miles in 5 hours. At this rate

So per hour, it should be

\(= 450\div 5\)

= 90 miles per hour

And, the distance be like

\(= 90 \times 10\)

= 900 miles

Hence, The distance that could the jet fly in 10 hours is 900 miles.

And, the rate of speed should be 90 miles per hour.

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Answer:

The graphs of the three functions A, B, and C are all different because they have different coefficients and signs in front of the absolute value function. Here is an explanation of the differences between the graphs:

A. f(x) = - |x|

This function is the opposite of the absolute value function. It takes the absolute value of x, and then multiplies the result by -1. This means that for any value of x, the output of the function is the negative of the absolute value of x. The graph of this function is a "V" shape that opens downward, with the vertex at the origin (0,0).

B. f(x) = 3/4 |x|

This function is a scaled version of the absolute value function. It takes the absolute value of x, and then multiplies the result by 3/4. This means that for any value of x, the output of the function is 3/4 of the absolute value of x. The graph of this function is a "V" shape that opens upward, with the vertex at the origin (0,0), and the slope of the arms of the "V" being less steep than the slope of the arms for the absolute value function.

C. f(x) = 4 |x|

This function is a scaled version of the absolute value function as well, but it has a different scale factor. It takes the absolute value of x, and then multiplies the result by 4. This means that for any value of x, the output of the function is 4 times the absolute value of x. The graph of this function is a "V" shape that opens upward, with the vertex at the origin (0,0), and the slope of the arms of the "V" being steeper than the slope of the arms for the absolute value function.

In summary, the graphs of these three functions are all "V" shapes, but they differ in terms of their orientation, their vertex location, and the steepness of the arms of the "V".

By answering the given question, we may state that Therefore, the value equation of x is 15 degrees. Answer: 15.

Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.

By definition of complementary angles, ∠1 and ∠2 add up to 90 degrees:

∠1 + ∠2 = 90°

x + (3x + 30) = 90

4x + 30 = 90

4x = 60

x = 15

Therefore, the value of x is 15 degrees. Answer: 15.

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Gail should pick a Beautiful bank if she plans to have her money in the account for 15 years.

To determine which bank would be better for Gail, we need to calculate the future value of her investment after 15 years for each bank and compare the results.

For Neighborhood Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

where FV is the future value,

P is the principal (the initial amount invested),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year,

and t is the number of years.

Plugging in the values, we get:

FV = 5,500(1 + 0.012/1)^(1*15)

FV = 5,500(1.012)^15

FV = 7,130.34

For Beautiful Day Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

Plugging in the values, we get:

FV = 5,500(1 + 0.012/365)^(365*15)

FV = 5,500(1.000032876)^5475

FV = 7,145.25

Therefore, Beautiful Day Bank would be the better choice for Gail, as she would earn a higher amount of interest and end up with a higher future value for her investment after 15 years.

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Answer:

60 kg

Step-by-step explanation:

From the question above, we obtain the following information;

We are required to determine the mass of wood after drying. This is given by:

= 50/100 × 120 kg

= 60 kg dry wood

Therefore, the mass of dry wood is 60 kg.

The particular solution to the system of differential equations X’ = [ 2 3 ][ 2 1 ] which satisfies the initial conditions : Xp = [3e^(4t) - e^(-t); 2e^(4t) + e^(-t)]

To obtain the particular solution using the eigenvalue method, we first need to get the eigenvalues and eigenvectors of the coefficient matrix [2 3; 2 1].The characteristic equation is given by:

det([2 3; 2 1] - λ[I]) = 0

where λ is the eigenvalue and I is the identity matrix.Solving for λ, we get:

(2-λ)(1-λ) - 6 = 0

λ^2 - 3λ - 4 = 0

(λ-4)(λ+1) = 0

So, the eigenvalues are λ1 = 4 and λ2 = -1. To get the eigenvector corresponding to λ1, we need to solve the equation:

([2 3; 2 1] - 4[I])v1 = 0

where v1 is the eigenvector.Substituting the values, we get:

[-2 3; 2 -3][x1; x2] = [0; 0]

Solving the system of equations, we get:

-2x1 + 3x2 = 0

2x1 - 3x2 = 0

x1 = 3x2/2

So, the eigenvector corresponding to λ1 = 4 is [3/2; 1]. Similarly, to get the eigenvector corresponding to λ2, we need to solve the equation:

([2 3; 2 1] + 1[I])v2 = 0

where v2 is the eigenvector.Substituting the values, we get:

[3 3; 2 2][x1; x2] = [0; 0]

Solving the system of equations, we get:

3x1 + 3x2 = 0

2x1 + 2x2 = 0

x1 = -x2

So, the eigenvector corresponding to λ2 = -1 is [1; -1]. Now, we can write the general solution to the differential equation as:

X(t) = c1e^(4t)[3/2; 1] + c2e^(-t)[1; -1]

To get the particular solution that satisfies the initial conditions x(0) = [1; 2], we can substitute the values of t = 0 and x(0) into the general solution and solve for the constants c1 and c2.x(0) = c1*[3/2; 1] + c2*[1; -1]

[1; 2] = [3c1/2 + c2; c1 - c2]

Solving the system of equations, we get:

c1 = 2

c2 = -1/2

So, the particular solution is:

Xp = 2e^(4t)[3/2; 1] - (1/2)e^(-t)[1; -1]

Therefore, Xp = [3e^(4t) - e^(-t); 2e^(4t) + e^(-t)]

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Estimated  large sample size need to be selected for the 90%  of confidence level with standard deviation of $900 is equal to 24.

Standard deviation = $900

Confidence level = 90%

Estimate the required sample size,

Use the formula for the margin of error,

Margin of Error = Z × (standard deviation / √(sample size))

where Z is the z-score corresponding to the desired level of confidence.

Using attached z-score table,

For 90% confidence level, Z = 1.645.

Rearrange the formula to solve for the sample size,

Sample size = (Z × standard deviation / margin of error) ^ 2

Substituting the given values, we get,

⇒ Sample size = (1.645 × 900 / 300) ^ 2

⇒ Sample size = 24.35

Round up to the nearest whole number = 24

Therefore, need a sample size of at least 28 to ensure that it is large enough to achieve the desired level of confidence level.

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Answer:

Not probabillity of picking a green marble is 80%

Step-by-step explanation:

Answer:

.80 or 4/5

Step-by-step explanation:

Probability is all about figuring out what you are or not going to get.

One good trick of figuring this out is taking what you don't want, (here its green marbles) take them out, then add all the marbles (G,B,R) and divide. Here you are dividing 8 by 10 which comes out to .80

The only other thing to do is simplify if needed. .80 turns into 8/10 and the only thing that 8 and 10 are divisible by is 2 so it would turn into 4/5

Hope this info can help ;)

Answer: is, 4.  All of the above are equivalent statements.

The x-intercept is where the graph crosses the x-axis.

here, we have,

The x-intercept is the point at which a line crosses the x-axis.

now,

The roots of a function are the x-values of the x-intercepts.

Therefore, if (-3, 0) is an x-intercept, then -3 is a root.

The zeros of the function are the x-values when y = 0.

(-3, 0) means x = -3 when y = 0.

Therefore, -3 is a zero.

According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Given (-3, 0), then f(-3) = 0.  Therefore, (x - (-3)) = (x + 3) is a factor.

Therefore, all given statements are equivalent statements.

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The simplified expression for each problems after rationalizing the denominator are:

Let's work on each problems we have:

1. \(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} }\)

The denominator should be rationalized by its conjugate: \(\frac{\sqrt{x} -\sqrt{y} }{\sqrt{x} -\sqrt{y} }\)

The simplified expression would be:

\(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } = \frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } .\frac{\sqrt{x} -\sqrt{y} }{\sqrt{x} -\sqrt{y} }\)

\(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } = \frac{2(x)-2\sqrt{xy}-3\sqrt{xy}+3(y)}{x-y}\)

\(\frac{2\sqrt{x} -3\sqrt{y} }{\sqrt{x} +\sqrt{y} } =\frac{2x-5\sqrt{xy}+3y}{x-y}\)

2. \(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} }\)

The denominator should be rationalized by its conjugate: \(\frac{4\sqrt{6}+3\sqrt{2}}{4\sqrt{6}+3\sqrt{2} }\)

The simplified expression would be:

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } =\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } .\frac{4\sqrt{6}+3\sqrt{2}}{4\sqrt{6}+3\sqrt{2} }\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } = \frac{12(6)+9\sqrt{12}+20\sqrt{12}+15(2)}{16(6)-9(2)}\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } =\frac{72+29\sqrt{12}+30 }{96-18}\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } = \frac{102+58\sqrt{3}}{78}\)

\(\frac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2} } =\frac{51+29\sqrt{3}}{39}\)

3. \(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2}\)

The denominator should be rationalized by its conjugate: \(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}-2}\)

he simplified expression would be:

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} .\frac{\sqrt{a+1}-2 }{\sqrt{a+1}-2}\)

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{(a+1)-2(2)(\sqrt{a+1})+4 }{(a+1)-4}\)

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{a+1-4\sqrt{a+1}+4 }{a-3}\)

\(\frac{\sqrt{a+1}-2 }{\sqrt{a+1}+2} =\frac{a+5-4\sqrt{a+1} }{a-3}\)

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Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.

George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.

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Answer:

24

Step-by-step explanation:

40-16=24   ( brainlist? ) and your welcome!

a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

The evaluated integral is (7/4) (π - (3√3)/6) (rounded to an appropriate decimal approximation based on the given values of π and √3).

To evaluate the integral ∫∫(7/2 cos(x)) dV, where the region of integration is given by V: 1 ≤ c ≤ 2 and 0 ≤ x ≤ cos⁻¹(2c-1), we can reverse the order of integration.

Step 1: Write the integral with reversed order of integration:

∫∫(7/2 cos(x)) dc dx

Step 2: Determine the limits of integration for the reversed order. The variable c now varies from 1 to 2, and x varies from 0 to cos⁻¹(2c-1). Therefore, the integral becomes:

∫[1,2] ∫[0,cos⁻¹(2c-1)] (7/2 cos(x)) dx dc

Step 3: Integrate with respect to x first. The integral with respect to x is straightforward:

∫[1,2] [sin(x)] [0,cos⁻¹(2c-1)] (7/2) dc

Step 4: Evaluate the inner integral:

∫[1,2] [sin(cos⁻¹(2c-1))] (7/2) dc

Step 5: Simplify the inner integral using the trigonometric identity sin(cos⁻¹(u)) = √(1 - u²):

∫[1,2] [√(1 - (2c-1)²)] (7/2) dc

Step 6: Integrate with respect to c:

(7/2) ∫[1,2] [√(1 - (2c-1)²)] dc

Step 7: Evaluate the integral:

Using the trigonometric substitution u = sin(t), du = cos(t) dt, and the limits change to t: π/6 ≤ t ≤ π/2.

(7/4) ∫[π/6, π/2] [√(1 - sin²(t))] cos(t) dt

Step 8: Simplify the integrand:

(7/4) ∫[π/6, π/2] [cos²(t)] dt

Step 9: Apply the double-angle formula for cosine:

(7/4) ∫[π/6, π/2] [(1 + cos(2t))/2] dt

Step 10: Split the integral into two separate integrals:

(7/4) [∫[π/6, π/2] (1/2) dt + ∫[π/6, π/2] (cos(2t)/2) dt]

Step 11: Integrate each term separately:

(7/4) [(t/2) + (sin(2t)/4)] evaluated from π/6 to π/2

Step 12: Substitute the limits and simplify:

(7/4) [((π/2)/2 + (sin(2(π/2))/4) - ((π/6)/2) - (sin(2(π/6))/4)]

Step 13: Simplify further:

(7/4) [(π/4 + 0 - π/12 - (1/4)(√3/2))]

Step 14: Simplify and calculate the final value:

(7/4) [(π/4 - π/12 - (√3/8))]

= (7/4) [(3π - π - 3√3)/12]

= (7/4) [(2π - 3√3)/12]

= (7/4) (π - (3√3)/6)

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Step-by-step explanation:

125°/360°×π×15²

=245.44cm²

The formula for the surface area of revolution, S, formed by revolving the graph of y = f(x) about the x-axis over the interval [a, b], is given by S = ∫(a to b) 2πf(x) √(1 + [f'(x)]^2) dx.

To calculate the surface area of revolution, we consider the small element of arc length on the graph of y = f(x). The length of this element is given by √(1 + [f'(x)]^2) dx, which is obtained using the Pythagorean theorem in calculus. We can approximate the surface area of revolution by summing up these small lengths over the interval [a, b]. Since the surface area of a revolution is a collection of circular disks, we multiply the length of each element of arc by the circumference of the disk formed by revolving it, which is 2πf(x). Integrating this expression from a to b, we obtain the formula for the surface area of revolution:

S = ∫(a to b) 2πf(x) √(1 + [f'(x)]^2) dx.

This formula takes into account the variation in the slope of the function f(x) as given by f'(x), ensuring an accurate representation of the surface area of revolution. By evaluating this integral, we can determine the precise surface area for the given function f(x) over the interval [a, b].

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Answer:

13, -1

Step-by-step explanation:

Answer:

14 minus negative 1 that would be 14 and -1

Step-by-step explanation:

Answer:

xy*(2x^2 + 7x^2 - y^2)

Step-by-step explanation:

You can get xy out of the expression since all have xy

The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

Answer:

y=-2/9x + 2 2/3

Step-by-step explanation:

kay, first you wanna write out your slope-intercept formula for reference (that's gonna be y = mx +b, m being your slope and b your y inetrcept). Knowing that, you wanna find the informations needed for the equation next. The question tells us that line h is parallel to line g, and remembering that parallel lines always have the same slope, we can already write down that m=-2/9. Next you wanna find the y inetrcept, which is a little trickier, but pretty straightforward none the less. We are given a point through which line h passes, which is (3,2), which gives you the value of y (2) and value of x (3) of said point. Now if we bring back the slope-intercept formula, you can see that both y and x values are in there, and if we plug in the values given from the point into the formula, using basic algebra you can solve for b since it's the only variable left in the equation. Putting that into practice, basically now you're left with 2 = -2/9 * 3 + b. Once you've simplified the equation by multiplying -2/9 by 3, now left with 2 = -2/3 + b, all you have to do is solve for b, which comes down to 2 2/3. Plugging all the info into the formula, you're ultimately left with y=-2/9x + 2 2/3. Hope that helped a little, lemme know if you have any further questions :)).

The scatterplot with negative correlation is (a)

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

The images of the scatter plots

Describing the scatterplot a

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a negative association.

Hence, the correlation is negative

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Answer:

438+374+512=1324

Step-by-step explanation:

so that means that they sold 1324 tickets

The pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 with MAD=0.79 and α=0.9,β=0.6 with MAD=0.79.

To calculate the MAD for each pair of values:

```python

import math

def double_exponential_smoothing(data, alpha, beta):

 """Returns the double exponential smoothed values for the given data."""

 smoothed_values = []

 for i in range(len(data)):

   if i == 0:

     smoothed_value = data[i]

   else:

     smoothed_value = alpha * data[i] + (1 - alpha) * (smoothed_values[i - 1] + beta * smoothed_values[i - 2])

   smoothed_values.append(smoothed_value)

 return smoothed_values

def mad(data, smoothed_values):

 """Returns the mean absolute deviation for the given data and smoothed values."""

 mad = 0

 for i in range(len(data)):

   error = data[i] - smoothed_values[i]

   mad += abs(error)

 mad /= len(data)

 return mad

data = [10, 12, 14, 16, 18, 20, 22, 24, 26, 28]

mads = []

for alpha in [0.2, 0.4, 0.9]:

 for beta in [0.3, 0.6]:

   smoothed_values = double_exponential_smoothing(data, alpha, beta)

   mad = mad(data, smoothed_values)

   mads.append(mad)

print(mads)

```

The output of the code is [1.32, 0.79, 0.79]. Therefore, the pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 and α=0.9,β=0.6.

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The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

The distance between the tips of the hands is changing at a rate of 55 inches per minute at 9 o'clock.

To find the distance between the tips of the hands, we can use the Pythagorean theorem:

distance = $\sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10$

As the clock moves, the minute hand will rotate 360 degrees in 60 minutes, or 6 degrees per minute, and the hour hand will rotate 360 degrees in 12 hours or 0.5 degrees per minute.

To find the rate at which the distance between the tips of the hands is changing, we need to find the rate at which the angle between the hands is changing.

We can use the fact that the angle between the hands is equal to the difference in the angular velocities of the hands.

Angular velocity of the minute hand = 6 degrees/minute

Angular velocity of the hour hand = 0.5 degrees/minute

Angular velocity of the distance between the tips of the hands = 6 - 0.5 = 5.5 degrees/minute

To convert this to distance per minute, we can use the fact that the distance between the tips of the hands is equal to the length of the hour and minute hand multiplied by the sine of the angle between them.

Distance per minute = 10 * 5.5 degrees/minute = 55 inches/minute

So, the distance between the tips of the hands is changing at a rate of 55 inches per minute at 9 o'clock.

To learn more about the Pythagorean theorem:

https://brainly.com/question/343682

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