A puddle is 0. 06 meters deep after 1 hour and 0. 03 meters deep after 5 hours. At what rate, in m/h, is the level of the water changing?

When writing a letter, it is important to consider the following conditions:  Decide what you want to say. Adapt your message to the wants and requirements of your audience. Pick a letter style that works for you.

Include the time, your name, and a phone number.

Include the recipient's name and contact information.

Write the greeting and the content.

The final paragraph of your letter should include a considerate conclusion, your name, and your signature.

Deliver Your Letter

A direct or personalised letter or print communication sent to an individual or group. a grant that is included in a written message. commonly used in the multiple. letters that are constructed singularly or plurally but have a plural shape.

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The given question is incomplete

The complete question is:

What condition should be taken on how to write letter ?

Answer:

14 personal training sessions

Step-by-step explanation:

when you add 45 to 20 7 times, you will get a total of 355, and the same can be said when you add 35 to 90 for a total of 7 times. So she would need 7 personal training sessions from each, making a total of 14 training sessions.

Hope this help, let me know if it was correct :D

Question:

A financial transaction that is added to a ledger balance is called a credit.

Answer:

The answer is True, I just took the test

Answer:

8

Step-by-step explanation:

24 divided by 3 = 8

Answer:

-3

Step-by-step explanation:

p(x) = x^2-6x+5

Let x= 4

p(4) = 4^2-6(4)+5

Exponents first

       = 16 -6(4) +5

Multiply

     = 16 -24 +5

Add and subtract

    = -8+5

   = -3

The variance of the given returns is approximately 0.1475. The variance measures the dispersion or variability of the returns from the mean return.

To calculate the variance, we need to follow a few steps:

Calculate the mean (average) return:

Mean = (Year 1 + Year 2 + Year 3 + Year 4) / 4

= (16% + 6% + (-25%) + (-3%)) / 4

= -6% / 4

= -1.5%

Calculate the squared deviations from the mean for each year:

Deviation from mean for Year 1 = 16% - (-1.5%) = 17.5%

Deviation from mean for Year 2 = 6% - (-1.5%) = 7.5%

Deviation from mean for Year 3 = -25% - (-1.5%) = -23.5%

Deviation from mean for Year 4 = -3% - (-1.5%) = -1.5%

Square each deviation:

Squared deviation for Year 1 = (17.5%)^2 = 0.0306

Squared deviation for Year 2 = (7.5%)^2 = 0.0056

Squared deviation for Year 3 = (-23.5%)^2 = 0.5525

Squared deviation for Year 4 = (-1.5%)^2 = 0.000225

Calculate the average of the squared deviations:

Variance = (0.0306 + 0.0056 + 0.5525 + 0.000225) / 4

= 0.589925 / 4

≈ 0.1475

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When performing a hypothesis test on the population mean (μ) when the population standard deviation (σ) is known, the null hypothesis (H0) can never be rejected if the sample mean falls within the acceptance range determined by the chosen significance level and the critical values.

In hypothesis testing for the population mean when the population standard deviation is known, the null hypothesis (H0) represents the claim or assumption that the population mean is equal to a specific value. The alternative hypothesis (Ha) states that the population mean is not equal to the specific value.

To determine whether to reject or fail to reject the null hypothesis, we compare the sample mean to the expected value under the null hypothesis. If the sample mean falls within the acceptance range determined by the chosen significance level and the critical values, we do not have sufficient evidence to reject the null hypothesis. The acceptance range is defined by the margin of error around the expected value, and it indicates the range of values that can be considered reasonably close to the expected value.

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

The probability that the sum of the three die rolls is 9 is 0.0139

Given data is Three fair six - sided dice Sequence are rolled in that the

The probability sum of the three dice rolls is 9 given that the first two souls produce pair

The total outcomes of 3 dice is roll is

6³= 216 .

The number of favorable cases is

( 2 , 2 , 5 ) ( 3 , 3 , 3 ) ( 4 , 4 , 1 )

So only 3 possible are  sum of the  three dice solles is 9 given that the

first two rolls produce pals.

Probability = 3/216 = 1/72 =  0.0139

So, The probability that the sum of the three die rolls is 9 is 0.0139

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Answer: Let x be the number of nickels, and y be the number of pennies. Then we can write two equations based on the given information:

The total number of coins is 20: x + y = 20

The total value of the coins is $0.68: 0.05x + 0.01y = 0.68

We can solve this system of equations using any method we like, such as substitution or elimination. Here, we will use the elimination method.

To eliminate y, we can multiply the first equation by 100 to get 100x + 100y = 2000, and then subtract the second equation from it:

100x + 100y - 5x - y = 2000 - 0.68

Simplifying, we get:

95x + 99y = 1932

Now we have one equation with only x and y. We can use this equation to solve for one variable in terms of the other. For example, we can solve for y:

y = (1932 - 95x) / 99

To check if the solution is valid, we need to make sure that x and y are both non-negative integers, since we are dealing with coins. We can start by checking if x is an integer between 0 and 20 (inclusive). We can use a loop in a programming language, or we can simply try each integer one by one. If x is an integer between 0 and 20, we can plug it into the equation for y and check if y is a non-negative integer. If we find a pair of x and y that satisfy all the conditions, then Hannah's brother counted the money correctly. If we cannot find such a pair, then he made an error.

Alternatively, we can use the fact that y must be divisible by 1 cent (since it represents the number of pennies), and check if the expression (1932 - 95x) is divisible by 99 for any integer x between 0 and 20 (inclusive). If it is divisible, then the quotient is the number of pennies, and we can check if it is a non-negative integer. If it is not divisible for any x, then there is no solution.

Step-by-step explanation:

The sum of the first three terms in the series is -557.921 and a bound for the error is approximately 865.474.

What is series?

In mathematics, a series is the sum of the terms of a sequence. It is represented by the sigma notation (∑), which indicates that a sequence of terms is being added together.

To calculate the sum of the series and find the bounds for the error, let's break down the problem step by step.

The series can be represented as:

\(\sum_{n=1}^{\infty} [(-1)^n * 400*n^{0.6}]\)

To find the sum of the first three terms, S3, we need to calculate the values for n = 1, 2, and 3 and then sum them up.

For n = 1:

\((-1)^1 * 400 * 1^{0.6\) = -400

For n = 2:

\((-1)^2 * 400 * 2^{0.6\) = 564.189...

For n = 3:

\((-1)^3 * 400 * 3^{0.6\) = -721.110...

Now, let's calculate the sum of the first three terms, S3:

S3 = -400 + 564.189 + (-721.110) = -557.921

The sum of the first three terms, S3, is approximately -557.921.

To find a bound for the error, we can use the Alternating Series Estimation Theorem. The theorem states that the error in approximating an alternating series is less than or equal to the absolute value of the next term.

In this case, the next term of the series would be for n = 4:

\((-1)^4 * 400 * 4^{0.6\) = 865.474...

The bound for the error is given by the absolute value of this term:

|Next Term| = |865.474...| ≈ 865.474

Therefore, a bound for the error is approximately 865.474.

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Answer:

An appropriate price for the poster would be about $2.75 because the dimensions of the second poster is the first poster, divided by 2. So if the poster was cuts in half in dimensions, so should the cost of the poster. You divide $5.49, which would equal $2.745, which would be rounded to the nearest cent, $2.75.

Hope this helps!

Answer:

more details about this?

Step-by-step explanation:

The least squares solution to the given system of linear equations is x* = [3/14; 1/7; 1/14].

In order to find the least squares solution to the given system of linear equations, we can use the following steps:

Step 1: Write the system of equations in matrix form. In other words, we write the coefficients of the variables as a matrix, and the variables themselves as another matrix.

The matrix form of the given system of equations is given by:

Ax = b, where

A = [1 -1 -1; -1 0 0; -2 3 4; -1 2 2],

x = [x; y; z], and

b = [-2; 4; -1; 1].

Step 2: Compute the transpose of matrix A, denoted by \(A^T\) .

\(A^T\) is given by:

\(A^T\) = [1 -1 -2 -1; -1 0 3 2; -1 0 4 2].

Step 3: Compute the product of \(A^T\)  and A, denoted by \(A^T\) A.

\(A^T\)  A is given by:

\(A^T\)  A = [7 -8 -8; -8 14 18; -8 18 21].

Step 4: Compute the inverse of \(A^T\)  A, denoted by (\(A^T\)  A)⁻¹.

(\(A^T\)  A)⁻¹ is given by: ( \(A^T\) A)⁻¹ = [9/28 1/7 5/28; 1/7 4/7 -2/7; 5/28 -2/7 9/28].

Step 5: Compute the product of \(A^T\)  and b, denoted by \(A^T\)  b.

\(A^T\)  b is given by: \(A^T\)  b = [-1; 6; 5].

Step 6: Compute the least squares solution, denoted by x*. x* is given by: x* = (\(A^T\)  A⁻¹ \(A^T\)

b. Substituting the values from steps 4 and 5 into this equation, we get: x* = [3/14; 1/7; 1/14].

Therefore, the least squares solution to the given system of linear equations is x* = [3/14; 1/7; 1/14].

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Answer:

1/4×8/7=8/28

8/28×8/9=64/252

Ans:64/252=16/63

The probability that the mean repair time is less than 8.9 hours is 0.6103 (or 61.03%).

Given information: Mean repair time is 8.4 hours and Standard deviation is 1.8 hours

To find: Probability that the mean repair time is less than 8.9 hoursZ score can be calculated using the formula;

Z = (X - μ) / σWhere,

Z = z score

X = Value for which we need to find the probability (8.9 hours)

μ = Mean (8.4 hours)

σ = Standard deviation (1.8 hours)

Substituting the values in the above formula;

Z = (8.9 - 8.4) / 1.8Z = 0.28

Probability for z-score of 0.28 can be found from z table.

The value from the table is 0.6103

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The smallest possible answer to the sum using the digits 2, 8, 1, and 6 is 1862.

To find the smallest possible answer to the sum using the given digits 2, 8, 1, and 6, we need to consider the place value of each digit in the sum.

Let's arrange the digits in ascending order: 1, 2, 6, 8.

To create the smallest possible sum, we want the smallest digit to be in the units place, the next smallest digit in the tens place, the next in the hundreds place, and the largest digit in the thousands place.

Therefore, we would place the digits as follows:

1

2

6

8

This arrangement gives us the smallest possible sum:

1862

So, the smallest possible answer to the sum using the digits 2, 8, 1, and 6 is 1862.

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Where  F(x)= -3x²+2x-17, there are two imaginary solutions: x = 0.33 ± 2.36i

Given   F(x)= -3x²+2x-17

Using the quadratic equation formula we have

x =   (-b ± √(b² - 4ac)) / 2a

x = -2 √(2² - 4 x (-3) x(-17))/2 * -3

x = -2 ± √-200/-6

x = 1/3 ± 5/3√2i

x  =  0.33333333333333 ± 2.3570226039552i

x ≈   0.33 ± 2.36i

Note that i in this case is an imaginary solution. A pure imaginary number is one with a square that is a negative real number. A complex number is the product of a real and a pure imaginary number.

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Answer:

Price= $33

Step-by-step explanation:

Giving the following information:

Pat tipped his uber driver 15%. He gave $4.95 as a tip.

To calculate the price of the ride, we need to divide the total tip by the tip rate using the following formula:

Price= tip / tip rate

Price= 4.95/0.15

Price= $33

Answer:(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness

Step-by-step explanation:(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness

Answer:

-1/2

Step-by-step explanation:

m=y2-y1/x2-x1

-12-(-4)=(-8)

0-(-16)=16

-8/16

-8/16=(-1/2)

hope this helps :3

if it did pls mark brainliest

Answer:

y=-2x-36

Step-by-step explanation:

I hope this helps!

The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

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The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

Because a 270° rotation around the origin and a subsequent reflection over the x-axis translate ABC onto LMN, the figures are congruent.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and form. Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another. In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

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answer:

y=11x+11?

Step-by-step explanation:

from what i got from the equation it sounds like this might be the answer doory ^^'

Polynomial function of least degree with integral coefficients that has the given zeros imaginary \(\\f(x) & =x^4+5 x^2-6\)

As per the given data:

\(\sqrt{6} i$\) is a zero.

Therefore \($-\sqrt{6} i$\) is also a zero.

\($(x+1),(x-1),(x-\sqrt{6} i)$\) and \($(x+\sqrt{6} i)$\) are factors

\($$\begin{aligned}f(x) & =(x+1)(x-1)(x-\sqrt{6} i)(x+\sqrt{6} i) \\& =\left(x^2-1\right)\left(x^2-(\sqrt{6} i)^2\right) \\& =\left(x^2-1\right)\left(x^2-6 i^2\right) \\& =\left(x^2-1\right)\left(x^2+6\right) \\& =x^4+6 x^2-x^2-6 \\f(x) & =x^4+5 x^2-6\end{aligned}$$\)

Therefore the polynomial function is \(\\f(x) & =x^4+5 x^2-6\)

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Write a polynomial function of least degree with integral coefficients that have the given zeros of-1, 1, and i times square root of 6.

Answer:

1,8 and 5,10

Step-by-step explanation:

There were 18 one point shots and 37 two point shots.

Step-by-step explanation:

Let the number of one point shots be x and the number of two point shots be y .

So we have the system:

x + y = 55

x + 2y = 92

Subtract the first equation from the second, we get:

0 + y = 92 - 55 = 37.  

y = 37.

From equation 1 we have x = 55 - y

therefore x = 55 - 37 = 18.

a) The total impulse (Itot) for the entire duration of tau life is calculated using the specific impulse (Isp), the initial mass (Minit), and the exhaust velocity (Ve) of the thruster.

b) The total number of hours of thruster firing for tau life can be determined by dividing the total impulse (Itot) by the average power (Pave) consumed by the thruster.

c) The final mass of the satellite (Mfinal, sat) at the end of tau life can be obtained by subtracting the total impulse (Itot) from the initial mass (Minit) and accounting for the mass flow rate.

a) To calculate the total impulse (Itot), we can use the equation: Itot = Isp * g0 * ln(Minit / Mfinal), where Isp is the specific impulse, g0 is the standard gravity (9.81 m/s^2), Minit is the initial mass, and Mfinal is the final mass. Given the values for Isp and Minit, we can solve for Itot.

b) The total number of hours of thruster firing for the entire tau life can be determined by dividing the total impulse (Itot) by the average power (Pave) consumed by the thruster. Since power is the rate of work done, we can calculate the total work done by multiplying Pave by the time taken, and then dividing the total impulse by this work done. The result will give us the number of hours of thruster firing.

c) To find the final mass of the satellite (Mfinal, sat) at the end of tau life, we need to account for the mass flow rate caused by the thruster firing. The mass flow rate can be calculated by dividing the total impulse (Itot) by the exhaust velocity (Ve) of the thruster. Subtracting this mass flow rate from the initial mass (Minit) will give us the final mass of the satellite.

d) The daily altitude decay can be calculated by considering the change in atmospheric density with altitude and the aerodynamic drag. However, this question requires additional information about the initial mass and the nominal orbit parameters, which are not provided.

e) The time required to deorbit a specific altitude can be calculated by dividing the altitude change (in this case, 150 km) by the daily altitude decay rate.

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Answer:

Step-by-step explanation: