Below is a magic square, meaning that the sum of the numbers in each row, in each column, and in each of the $2$ main diagonals are equal. What is the value of $n$? [asy]size(125); for(int i = 0; i<4; ++i) { draw((0,i)--(3,i),linewidth(1)); } for(int j = 0; j<4; ++j) { draw((j,0)--(j,3),linewidth(1)); } label("$n-2$",(.5,.5)); label("3",(.5,1.5)); label("$n+2$",(.5,2.5)); label("$n+3$",(1.5,.5)); label("$n-1$",(1.5,1.5)); label("$1$",(1.5,2.5)); label("$2$",(2.5,.5)); label("$2n-5$",(2.5,1.5)); label("$n$",(2.5,2.5)); [/asy]

24 hours takes all five machines to fill the same production order.

Given,

Four machines take 30 hours to fill a certain production order.

\(Rate = \frac{Work}{Time}\)

Let, Total work = 1 unit

The rate of 4 machines = \(\frac{1}{30}\)

We can let the rate of 5 machines be n and create the equation:

\(\frac{4}{\frac{1}{30} }=\frac{5}{n}\)

\(120=\frac{5}{n}\)

\(120n = 5\)

\(n=\frac{5}{120}\)

\(n=\frac{1}{24}\)

Time taken by five machines = \(\frac{1}{\frac{1}{24} }\)

Time is taken by five machines = 24 hours

Hence, 24 hours takes all five machines to fill the same production order.

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ANSWER: -2y-10

Step-by-step explanation:

Notice that the initial expression can be rewritten as shown below

The answer is 4 gallons per minute.

The mistake is that Jessie wrongly calculated (1/2)/(1/8) which should be solved using the next rule

She did

which is incorrect.

Arranging the data set in increasing order:

8, 8, 8, 10, 10, 10, 12, 12, 14, 14, 15

We have to have plots at each of these unique numbers.

So,

We will make the dot plot from 8 to 15 and basically have increments of 1.

B is the correct choice.

Answer:

NLE Choppa noooooooooooooooooo

Step-by-step explanation:

THE BEST RAPPPERRR!!!!!!!!!

Answer:

He wasnt in jail? I dont think cuz he was makin new music

Step-by-step explanation:

Answer:

16 is rational , interger , Whole.

Answer: 4.5

Step-by-step explanation:

Hope this helps later ask me if i was wrong or right.

Answer:

B

Step-by-step explanation:

The given third-order linear equation is (t - 2t^2)y' - 4y'' = -2t with y(3) = -2, y'(3) = 2, y''(3) = -3.

We can write this equation as a system of first-order linear equations with initial values by introducing three new variables x_1, x_2, and x_3 such that:

x_1 = y

x_2 = y'

x_3 = y''

with initial values x_1(3) = -2, x_2(3) = 2, x_3(3) = -3.

The resulting system of equations is:

x_1' = x_2

x_2' = x_3

x_3' = (2t^2 - t)x_2 - 4x_3 + 2t

This system can be solved numerically for the unknown functions x_1, x_2, and x_3 with the initial conditions given.

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Answer:

hi tell me the answer pls

In linear equation, 4,000 guest nights did the hotel have during this period.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables. 

According to question,

Guest nights = Number of guests × Number of nights

                       = 2,000 × 2

                       = 4,000

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Step-by-step explanation:

9x+5x+71+139+92=540

14x+302=540

14x=540-302=238

x=238/14

x=17

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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Answer:

ans is 10

Step-by-step explanation:

by using pythagoras theorm

26^2=a^2+24^2

a^2=100

a=10

To find the percentage of values in a normal distribution between 18 and 23, we need to calculate the z-scores corresponding to these values and then use the 68-95-99.7 rule.

Given:

Mean (μ) = 18

Standard deviation (σ) = 5

Lower value (x1) = 18

Upper value (x2) = 23

To calculate the z-scores, we use the formula:

z = (x - μ) / σ

For the lower value (x1 = 18):

z1 = (18 - 18) / 5 = 0

For the upper value (x2 = 23):

z2 = (23 - 18) / 5 = 1

Now, we can use the 68-95-99.7 rule to find the percentage of values between z1 and z2.

The 68-95-99.7 rule states that:

- Approximately 68% of the values fall within 1 standard deviation of the mean.

- Approximately 95% of the values fall within 2 standard deviations of the mean.

- Approximately 99.7% of the values fall within 3 standard deviations of the mean.

Since our z-scores are 0 and 1, they fall within 1 standard deviation of the mean. Therefore, the percentage of values between 18 and 23 in the distribution is approximately 68%.

In conclusion, approximately 68% of the values in the normal distribution fall between 18 and 23, based on the given mean of 18, standard deviation of 5, and using the 68-95-99.7 rule.

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Answer:

Step-by-step explanation:

a right triangle is half of a rectangle and the area of a rectangle is

                 area of rectangle = length × width

Area of a triangle is one half times the length times the width

                 area of triangle =  1/2 × length × width

in this case

                length is the number of the y units  

                width is the number of x axis unit      

    area of triangle =  1/2 × length × width  

    area of triangle =  1/2 × (y units) × (x units)       you need to count and insert

                                                                                the number of units into the

                                                                                equation  

area of triangle =  1/2 × (??? y units ) × (??? x units )    do the math yourself

                                                                                       and see if you get one of

                                                                                       answers

Answer:

c = -5

Step-by-step explanation:

(8/3c - 2)3 = (2/3c - 12)3

8c - 6 = 2c -36

6c = -30

c = -5

Answer:

f(3) = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + x + 1

f(3) is x = 3

Step 2: Evaluate

Given:-

\( \: \)

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

hope it helps! :)

Answer: I need a picture to go along with it because I see nothing.

Step-by-step explanation:

The change in temperature from morning to night is ₋18°F which means the temperature decreased from morning to night.

Given the temperature in the morning is ₋10°F

and temperature in the night is 8°F

To calculate the difference, subtraction is used between the starting and final temperatures. In other words, if something starts at 50 degrees Celsius and ends up at 75 degrees C, the temperature difference is 25 degrees C, or 75 degrees C minus 50 degrees C. The outcome is adverse for drops in temperature.

change in temperature from morning to night  = ₋10°F ₋ 8°F

= ₋18°F

the result is negative, hence the temperature decreases from morning to night.

Hence we get the temperature change as ₋18°F.

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Tom can paint the room alone in 12 hours.

Let's assume that the work required to paint the room is equivalent to 1 unit of work. If John can paint the room alone in 6 hours, his work rate per hour is 1/6.

Similarly, if John and Tom together can paint the room in 4 hours, their combined work rate per hour is 1/4. Let x be Tom's work rate per hour.

Then, we can set up the following equation:1/6 + x = 1/4

To solve for x, we can simplify the equation as follows:

Multiplying both sides by 12 (the LCM of 6 and 4) yields:2 + 12x = 3Solving for x gives:12x = 1x = 1/12Therefore, Tom's work rate per hour is 1/12, which means he can paint the room alone in 12 hours.

Summary:Tom can paint the room alone in 12 hours

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Answer:

30. 48

Step-by-step explanation:

12 inches make a foot. 6 times 2 = 12

15.24 times 2 = 30.48

Answer:

50.48

Step-by-step explanation: 15.24 X 2 (because 6 inches is half a foot) =50.48

The size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

A pet store clerk suggested 4 small fish for a 5-gallon fish tank.

4 small fish = 5-gallon

60 small fish = x gallon

x = (5)(60)/4

x = 75 gallon-tank

Thus, the size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.

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Answer:

Both the line right before the 2 and the line right before the one

Step-by-step explanation:

To determine which of the given statements are true, let's analyze the properties of the linear transformation T represented by the standard matrix:

0 2

-1 3

(i) T maps R^3 onto R:

For T to map R^3 onto R, every element in R must have a pre-image in R^3 under T. In this case, since the second column of the matrix contains nonzero entries, we can conclude that T maps R^3 onto R. Therefore, statement (i) is true.

(ii) T maps R onto R^3:

For T to map R onto R^3, every element in R^3 must have a pre-image in R under T. Since the matrix does not have a third column, we cannot conclude that every element in R^3 has a pre-image in R. Therefore, statement (ii) is false.

(iii) T is onto:

A linear transformation T is onto if and only if its range equals the codomain. In this case, since the second column of the matrix is nonzero, the range of T is all of R. Therefore, T is onto. Statement (iii) is true.

(iv) T is one-to-one:

A linear transformation T is one-to-one if and only if its null space contains only the zero vector. To determine this, we can find the null space of the matrix. Solving the equation T(x) = 0, we get:

0x + 2y - z = 0

-x + 3*y = 0

From the second equation, we can express x in terms of y: x = 3y. Substituting this into the first equation, we get:

0 + 2y - z = 0

2y = z

This implies that z must be a multiple of 2y. Therefore, the null space of T contains nonzero vectors, indicating that T is not one-to-one. Statement (iv) is false.

Based on the analysis above, the correct answer is:

A. (i) and (iii) only.

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The probability that a student will pass the test before the third try is 0.91 or 91%.

The probability that a student pilot passes the written test for a private pilot’s license is 0.7.

To find the probability that a student will pass the test before the third try, we can use the geometric distribution.

The Geometric Distribution is a discrete probability distribution that describes the number of failures before a success in a sequence of independent and identical Bernoulli trials. It is one of the essential examples of distributions in probability theory and statistics

Let P be the probability that a student pilot passes the written test for a private pilot’s license.

Then the probability that a student will fail the test on the first two tries is given by:

P(failure) = (1 - P)² [i.e., the probability of not passing the test]

Then the probability that the student will pass the test before the third try is the complement of the above probability, which is given by:

P(pass before 3rd try) = 1 - (1 - P)²

Let P = 0.7.

Then the probability that a student will pass the test before the third try is:

P(pass before 3rd try) = 1 - (1 - 0.7)²

P(pass before 3rd try) = 1 - 0.09 = 0.91

Therefore, the probability that a student will pass the test before the third try is 0.91 or 91%.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Answer: h<2

Step-by-step explanation: