Find the distance between the two points.
(-9,9) and (-16,33)
The distance is
(Type an exact answer, using radicals as needed.)

2⁶ is represent power  in investment account after 48 year .

What does math power mean?

The amount of money is doubled after 8 years. 48 years is equivalent to 6 periods of 8 years so the investment doubled its value a total of 6 times. That's why you have to multiply 6 times by 2, and the total amount in the investment account after 48 years would be then

2 * 2 * 2 * 2 * 2 * 2  = 2⁶

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Let x = 3.191919…. Then 100x = 319.191919…, and we have

100x - x = 319.191919… - 3.191919…

99x = 316

x = 316/99

Next, we have

316 = 297 + 19 = 3 × 99 + 19

so

316/99 = (3 × 99 + 19)/99 = 3 + 19/99

The diagonalization of A is A = PDP^(-1) .a) To find the basis for R^3 of the eigenvectors of the matrix A:

First, we need to find the eigenvectors of A by solving the equation (A - λI)v = 0, where λ is the eigenvalue and I is the identity matrix.

The matrix A - 11 1 1 can be written as:

A - 11 1 1 - 1 1 1

Setting up the equation (A - λI)v = 0, we have:

-1 1 1  v1   λ

1 -1 1 * v2 = 0

1 1 -1  v3   0

Applying row operations to find the echelon form of the matrix:

-1 1 1  v1   λ

0 -2 2 * v2 = 0

0 0 0  v3   0

From the echelon form, we can see that v1 - v2 + v3 = 0, which means v1 = v2 - v3. So, we can express the eigenvector as (v2 - v3, v2, v3), where v2 and v3 are arbitrary.

Therefore, the basis for R^3 of the eigenvectors of A is {(1, 1, 0), (-1, 0, 1)}.

b) To find the matrix of the linear transformation given by A with respect to this basis:

Let P be the matrix whose columns are the eigenvectors of A:

P = | 1  -1 |

   | 1   0 |

   | 0   1 |

Let D be the diagonal matrix with the eigenvalues of A on the diagonal:

D = | λ  0 |

   | 0  λ |

To find the matrix of the linear transformation, we can use the formula A = PDP^(-1):

A = PDP^(-1)

 = PDP^T

Calculating the product:

PDP^T = | 1  -1 |  | λ  0 |  | 1  1  0 |

       | 1   0 |  | 0  λ |  | -1 0  1 |

      = | λ  -λ |

        | λ   0  |

        | 0   λ |

Therefore, the matrix of the linear transformation given by A with respect to the basis {(1, 1, 0), (-1, 0, 1)} is:

| λ  -λ |

| λ   0  |

| 0   λ |

This is the diagonal matrix D.

So, the diagonalization of A is A = PDP^(-1), where P is the matrix whose columns are the eigenvectors of A, D is the diagonal matrix of eigenvalues, and P^(-1) is the inverse of P.

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Answer:

Omg why are you soo beautiful? I love it

Answer:

Di ko po alam grade 4palang po ako

Step-by-step explanation:

I'm so sorry po

Answer:

there is not enough information

Step-by-step explanation:

The integral representing the length of the parametric curve is ∫[0, 4] √(17 - 8 cos(t)) dt.

To find the length of the parametric curve represented by the equations x = t − 4 sin(t) and y = 1 − 4 cos(t) over the interval 0 ≤ t ≤ 4, we can use the arc length formula for parametric curves. The arc length formula is given by:

L = ∫[a, b] √(dx/dt)^2 + (dy/dt)^2 dt

where [a, b] represents the interval of the parameter, dx/dt and dy/dt are the derivatives of x and y with respect to t, and √ denotes the square root.

Let's calculate the integral for the given parametric curve:

dx/dt = 1 - 4 cos(t)

dy/dt = 4 sin(t)

Now we can set up the integral for the arc length:

L = ∫[0, 4] √((1 - 4 cos(t))^2 + (4 sin(t))^2) dt

Simplifying the integrand:

L = ∫[0, 4] √(1 - 8 cos(t) + 16 cos^2(t) + 16 sin^2(t)) dt

= ∫[0, 4] √(1 - 8 cos(t) + 16) dt

= ∫[0, 4] √(17 - 8 cos(t)) dt

Therefore, the integral that represents the length of the given parametric curve is:

L = ∫[0, 4] √(17 - 8 cos(t)) dt

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Answer:

assuming that point u is inbetween points T and V then the length of TV would be 13

Step-by-step explanation:

T-----------U--V

The probability that the length of a component lies between 19 and 21 centimeters is 0.0376.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

Population mean, µ = 14

Population standard deviation, σ = 3

Probability that the length of a component lies between 19 and 21 centimeters

= P(19 <  X  < 21)

= P( (19 - 14) / 3 < (X - µ) / σ < (21 - 14) / 3)

= P(1.67 < z < 2.33)

= P(z < 2.33) - P(z < 1.67)

Using excel function:

= NORM.S.DIST(2.33,1) - NORM.S.DIST(1.67,1)

= 0.9901 - 0.9525

= 0.0376

Hence, the probability that the length of a component lies between 19 and 21 centimeters is 0.0376.

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Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations  intersect. That point is (4, 2)

x = 4 and y = 2

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

The correct option is Simple Linear Regression. Simple Linear Regression is NOT considered to be a Time-Series method of forecasting. The other methods are Time-Series method.

Time-Series analysis is a technique for forecasting future values based on previous observations. It includes various methods such as Moving Average, Exponential Smoothing, Seasonality Analysis, and Multiplicative/Additive Decomposition. Simple Linear Regression, on the other hand, is a method of predicting the relationship between two variables through a straight-line equation. Therefore, it is not considered to be a Time-Series method of forecasting.

A moving average is a common Time-Series method that calculates the average of a specific number of past observations to forecast future values. Exponential smoothing, another popular Time-Series method, assigns more weight to recent observations than to older ones. Seasonality analysis and multiplicative/additive decomposition are also Time-Series methods that are used to analyze trends and patterns in data over time.

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You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

We can approach this problem using combinatorics.

First, we need to find the total number of ways to rank the 4 men and 6 women. This is given by 10! (10 factorial), which is the number of permutations of 10 distinct items.

Next, we need to find the number of ways in which a woman can achieve the highest ranking (x = 1). This can be done by fixing the highest ranking to one of the 6 women, and then permuting the remaining 9 people. This gives us 6*9! ways to arrange the people such that a woman achieves the highest ranking.

Therefore, p(x = 1) = (6*9!)/10! = 6/10 = 0.6

For x = 3, we need to choose 2 women (out of 6) who will get the top 3 rankings, and then permute the remaining 8 people. This gives us (6 choose 2)*8! ways to arrange the people such that 2 women get the top 3 rankings. Therefore, p(x = 3) = [(6 choose 2)*8!]/10! = 15/54 = 0.2778

For x = 4, we need to choose 3 women (out of 6) who will get the top 4 rankings, and then permute the remaining 7 people. This gives us (6 choose 3)*7! ways to arrange the people such that 3 women get the top 4 rankings. Therefore, p(x = 4) = [(6 choose 3)*7!]/10! = 20/54 = 0.3704

For x = 6, all the women will have the lowest rankings. This can be done by permuting the 4 men and then permuting the 6 women. This gives us 4!*6! ways to arrange the people such that all women have the lowest rankings. Therefore, p(x = 6) = (4!*6!)/10! = 0.01296

Note that the sum of probabilities for all possible values of x should be equal to 1.

Step-by-step explanation:

Answer:

The total radiating surface is approximately 2.2 m^2

Step-by-step explanation:

Here, we want to get the total surface area of the cylindrical pipe

Firstly, we need the measurements to be uniform

If length is m, then diameter should be in meters too

That would be 5/100 = 0.05 m

Radius is half of the diameter

Mathematically, that’s 0.05/2 = 0.025 m

The formula for the total surface area is;

A = 2 * pi * r^2 + 2 * pi * r * h

A = (2 * 3.142 * 0.025^2) + (2 * 3.142 * 0.025 * 14)

A = 0.0039275 + 2.1994 =2.2033275

This is approximately 2.2 m^2

The function f(x) = 2x^3 + 3x^2 + 4 has a maximum of two turning points. The end behavior of the graph resembles the power function y = 2x^3.

(a) The maximum number of turning points on the graph of f is 2.

: A turning point occurs when the graph changes from increasing to decreasing or from decreasing to increasing. Since the function f(x) is a polynomial of degree 3, it can have at most two turning points.

(b) The end behavior of f resembles y = 2x^3.

Explanation: The highest degree term in the polynomial is 2x^3. As x approaches positive or negative infinity, the 2x^3 term dominates the expression, and the graph of f behaves like the power function y = 2x^3.

(c) The end behavior of the graph of f resembles y = 2x^3.

Explanation: As x approaches positive or negative infinity, the graph of f will increase without bound for large positive values of x and decrease without bound for large negative values of x. This behavior is consistent with the power function y = 2x^3.

(d) Based on the results of parts (b) and (c), the correct answer is D. The end behavior on one side is visible in the viewing window.

Since the end behavior of f resembles the power function y = 2x^3, which increases or decreases without bound as x approaches positive or negative infinity, respectively, the viewing window may not show the complete behavior of the graph. However, it will show the end behavior on one side, either for large positive x-values or large negative x-values.

The function f(x) = 2x^3 + 3x^2 + 4 has a maximum of two turning points. The end behavior of the graph resembles the power function y = 2x^3. The viewing window may not display the complete behavior of the graph, but it will show the end behavior on one side.

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Step-by-step explanation:

We can use the kinematic equations of motion to solve this problem. Let's assume the initial velocity of the snowball is 16 feet per second and its initial height is 32 feet. Also, we know that the acceleration due to gravity is -32.2 feet per second squared (assuming downward direction as negative).

To find out when the snowball hits the ground, we can use the equation:

h = 32 + 16t - 16t^2

where h is the height of the snowball at time t. We want to find the value of t when h = 0 (since the snowball hits the ground at that point). Therefore, we can rewrite the equation as:

16t^2 - 16t - 32 = 0

Dividing both sides by 16, we get:

t^2 - t - 2 = 0

Solving for t using the quadratic formula, we get:

t = (1 ± √(1 + 8))/2

t = 2 seconds or -1 second

Since time cannot be negative, the snowball hits the ground after 2 seconds.

To find the maximum height the snowball reaches, we can use the fact that the maximum height occurs at the vertex of the parabolic trajectory. The x-coordinate of the vertex is given by:

t = -b/2a

where a and b are the coefficients of the quadratic equation. In this case, a = 16 and b = -16, so:

t = -(-16)/(2*16) = 0.5 seconds

To find the corresponding height, we can substitute t = 0.5 seconds into the equation for h:

h = 32 + 16(0.5) - 16(0.5)^2

h = 36 feet

Therefore, the maximum height the snowball reaches is 36 feet.

Answer:

Step-by-step explanation:

21. 7

22. 8

23. 16

24. 24

25. 6

26. 41

Answer:

you can just substitute m=6 and n= 2 in question. Example like : =4( 6-2)

= 4(4)

= 16

Yes, given explanation is correct.if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

For test the claim that the proportion of people who smoke is less than 22.5%.

A one-tailed test of hypothesis can be used. Specifically, a one-sample z-test for a proportion can be used where:

Null hypothesis: p ≥ 0.225 (the proportion of people who smoke is equal to or greater than 22.5%)

Alternative hypothesis: p < 0.225 (the proportion of people who smoke is less than 22.5%)

The test statistic for the one-sample z-test for a proportion is calculated as:

z = (p - P0) / √[(P0 × (1 - P0)) / n]

where p is the sample proportion, P0 = the hypothesized proportion under the null hypothesis and n = The sample size.

If the calculated test statistic falls in the rejection region which is determined by the chosen significance level (e.g., alpha = 0.05) then the null hypothesis can be rejected and it can be concluded that there is evidence to support the claim that the proportion of people who smoke is less than 22.5%.

For a one-tailed test with alpha = 0.05, the critical value is -1.645.

Hence, if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

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Answer:

I believe it's  (5.7, 2.2)

I hope it's correct :)

c

Step-by-step explanation:

for the lazy people like me its c

Answer:

Ayden you should have just asked mrs martinez

Step-by-step explanation:

5 * 5^2

5*5=25*5= 125

Answer:

B

Step-by-step explanation:

The question said the person bought a shirt which means 1 and 3 pairs of pants which means multiple but we don’t know how many so we substitute that ? for a x so 15 + 3x =117

Answer:

B

Step-by-step explanation:

It is B because we do not know the price of the three pants but know that the total is 117 and the price of the t-shirt is $15

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

number=5

Step-by-step explanation:

35/7=5

quotient is the answer to a division problem

Steps to solve:

35/n = 7

~Multiply 1/35 to both sides

35/n * 1/35 = 7 * 1/35

~Simplify

n = 5

Best of Luck!

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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The researcher in question has performed a meta-analysis. A meta-analysis is a statistical method used to synthesize the findings from multiple studies that have investigated a similar research question using the same variables and measurement strategies. In this case, the researcher is interested in examining the relationship between exercise and myasthenia gravis.

The process of conducting a meta-analysis involves several steps. First, the researcher identifies and selects relevant studies that meet specific criteria, such as using the same dependent and independent variables (in this case, exercise and myasthenia gravis). In this scenario, 28 studies were identified that meet these requirements.
Next, the researcher extracts the relevant data from each study, such as effect sizes, sample sizes, and other important information. This allows the researcher to compare and combine the results of the individual studies into a single, comprehensive statistical analysis.

In summary, the researcher has conducted a meta-analysis to synthesize the results from 28 studies examining the relationship between exercise and myasthenia gravis, allowing for a more comprehensive understanding of the topic.

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The number of hours the student should record on the nighttime picture to complete a day-night cycle = 13 hours

The correct answer is an option (c)

We need to find the number of hours the student should record on the nighttime picture to complete a day-night cycle.

From the following pictures we can observe that, the sunrise time is 7:10 A.M. and the sunset timing is 6:10 P.M.

This means that thet daytime is of 11 hours (from 7:10 A.M. to 6:10 P.M.)

We know that the number hours in a day = 24

Let us assume that x represents the nighttime hours.

From this situation we get an equation,

x = 24 - 11

x = 13 hours

And the nighttime cycle would be:

from 6:10 P.M. to 7:10 A.M.

Therefore, the required number of hours = 13 hours

The correct answer is an option (c)

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