Simplify the expression:
3x + 2 (5x + 3)

The number of different ways one can navigate the given grid so that every square is touched exactly once is (N-1)²!.

In order to navigate a grid, a person can move in any of the four possible directions i.e. left, right, up or down. Given a square grid, the number of different ways one can navigate it so that every square is touched exactly once can be found out using the following algorithm:

Algorithm:

Use the backtracking algorithm that starts from the top-left corner of the grid and explore all possible paths of length n², without visiting any cell more than once. Once we reach a cell such that all its adjacent cells are either already visited or outside the boundary of the grid, we backtrack to the previous cell and explore a different path until we reach the end of the grid.

Consider an N x N grid. We need to visit each of the cells in the grid exactly once such that the path starts from the top-left corner of the grid and ends at the bottom-right corner of the grid.

Since the path has to be a cycle, i.e. it starts from the top-left corner and ends at the bottom-right corner, we can assume that the first cell visited in the path is the top-left cell and the last cell visited is the bottom-right cell.

This means that we only need to find the number of ways of visiting the remaining (N-1)² cells in the grid while following the conditions given above. There are (N-1)² cells that need to be visited, and the number of ways to visit them can be calculated using the factorial function as follows:

Ways to visit remaining cells = (N-1)²!

Therefore, the total number of ways to navigate the grid so that every square is touched exactly once is given by:

Total ways to navigate grid = Ways to visit first cell * Ways to visit remaining cells

= 1 * (N-1)²!

= (N-1)²!

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Answer:

7.5 < 10 <1 2

Step-by-step explanation:

The order of this shows them from least to greatest using the inequality symbols.

Answer:

D

Step-by-step explanation:

Answer:

\(d)\ y=\frac{1}{3}x +2\)

Step-by-step explanation:

Slope (m) form: \(\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}\)

\(y=mx+b\\y=\frac{1}{3}x +b\)

(3, 3)

\(y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b\)

\(y=\frac{1}{3}x +2\)

Check your answer:

\(y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3\)

This statement is true

Hope this helps!

Answer:

R3. Definition of Linera Pair

S4. m∠3 +m∠4 =180°

R5.  Substitution Property of Equality

I'm not sure if it's right but I tried :/

lmk if it's wrong

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

The required inequality that expresses the given condition is 36 + 29x ≤ 210.

Given that,
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that she plans to drive 400 miles. she has at most $210 to spend.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the number of days be x,
Total cost to drive 400 miles = 400(0.09) = $36.
According to the question,
36 + 29x ≤ 210

Thus, the required inequality that expresses the given condition is 36 + 29x ≤ 210.

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Percentage: 40%

Base: 12

Amount: 4.8

Percentage: 40%

\(\frac{4.8}{12}\) = 0.4 = 40%

Base: 12

Our "whole"

Amount: 4.8

Our "part"

Hope this helps, have a nice day :)

Answer:

19

Step-by-step explanation:

multiply both sides by 4:

-47 + x = -28

add 47 to both sides:

x = -28 + 47

x= 19

Answer:

16

Step-by-step explanation:

9-9:9 +9 - 9 :9 =

9 - 1 +9 - 1 =

8 +9 - 1 =

17 - 1 =

16

The limit of the cost for a month as the number of hours approaches 10 is $55.

When a member uses the car for exactly 10 hours, the cost is covered by the $55 per month fee, which includes 10 hours of driving. Since the fee already covers the cost, there are no additional charges for those 10 hours.

To calculate the limit as the number of hours approaches 10, we consider what happens as the number of hours gets closer and closer to 10, but never reaches it. In this case, as the number of hours approaches 10 from either side, the cost remains the same because the fee already includes 10 hours of driving. Thus, the limit of the cost for a month as the number of hours approaches 10 is $55.

Therefore, regardless of whether the number of hours is slightly below 10 or slightly above 10, the cost for a month will always be $55.

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Answer:

I'm pretty sure the correct answer is

D. None of the choices are correct

Step-by-step explanation:

The most likely answer would be AHL ~ NKG, it all depends on the order you put it in. However that is not one of the options so the answer is D.

Hope this helps!

- Quinn <3

Answer:

the square root of 36

Step-by-step explanation:

(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

Answer:

Answer: B

Step-by-step explanation: y=-1/5x+1/10

Answer:

It's elevation at the surface is 0, and the elevation twenty feet below is -20.

Step-by-step explanation:

The surface level is 0, and diving 20 feet under means 0 - 20, which is negative 20, or -20.

Answer: X 0 1 2 3 4 5 6 7 8 P(X=k) 0.05 0.07 0.13 0.12 0.20 0.25 0.07 0.03 0.08  the probability that more than 5 patients arrive at the hospital

What is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?

Step-by-step explanation:

Group of answer choices

A. 0.43

B. 0.18

C. 0.82

D. 1

Part two of the question:

using the same information as stated before,

Match the probability statements with the correct probabilities.

(choose one answer)

The probability that X is less than or equal to 5.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is greater than 7.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is between 3 (noninclusive) and 7 (noninclusive).

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that no patients arrive in that interval.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

Answer:

(-2,-4)

Step-by-step explanation:

Cant explain but its that one.

Therefore , the value of the given problem of linear equation comes out to be  x = -250.

In algebra, a mathematical model is just one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since x and y are variables, the previous sentence is frequently referred to as a "mathematical expression with 2 variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many different situations. Once an issue has the formula y=mx+b, where m denotes the slope and b the y-intercept, it is said to be linear.

Here,

Given : 70.50 - 45.50 + 0.15x - 0.09x =0

To find the value of x,

Thus,

We do : 70.50 - 45.50 + 0.15x - 0.09x =0

=> 15 + 0.06x =0

=> 6/100 *x = -15

=> 6x = -1500

=> x = -1500/6

=> x = -250

Therefore , the value of the given problem of linear equation comes out to be  x = -250.

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Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

The three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that Rashaad has x dimes and y nickels having no less than 18 coins. The total amount is $1.50. The number of dimes is at least 4.

The inequalities formed by the given data are:-

y ≤ 18 - x,

x + y ≤ 1.50,

x > 4.

The graphical representation of the inequalities is shown in the attached graph below with the answer.

Therefore, the three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.

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The partial fraction decomposition is:

Y(s) = 4/(s + 1)

1. Take the Laplace transform of both sides of the differential equation.

2. Solve for the Laplace transform of the unknown function.

3. Find the inverse Laplace transform to obtain the solution in the time domain.

Step 1: Taking the Laplace transform of both sides

Applying the Laplace transform to the differential equation, we have:

L[y'] + L[y] = L[t - 1]

Using the linearity property of the Laplace transform, we get:

sY(s) - y(0) + Y(s) = 1/s^2 - 1/s

where Y(s) represents the Laplace transform of y(t), and y(0) is the initial condition y(0) = 3.

Step 2: Solve for the Laplace transform of the unknown function

Combining like terms and isolating Y(s), we have:

Y(s)(s + 1) = 1/s^2 - 1/s + y(0)

Y(s)(s + 1) = (1 - s + s^2)/s^2 + 3

Now, let's simplify the right side of the equation:

Y(s)(s + 1) = (1 - s + s^2 + 3s^2)/s^2

Y(s)(s + 1) = (4s^2 - s + 1)/s^2

Dividing both sides by (s + 1), we get:

Y(s) = (4s^2 - s + 1)/(s^2(s + 1)

Step 3: Find the inverse Laplace transform

To simplify the expression further, we need to decompose the right side using partial fractions. Let's find the partial fraction decomposition:

Y(s) = (4s^2 - s + 1)/(s^2(s + 1)

To find the partial fractions, we write Y(s) as:

Y(s) = A/s + B/s^2 + C/(s + 1)

Multiplying through by s^2(s + 1), we have:

4s^2 - s + 1 = A(s^2 + s) + B(s + 1) + Cs^2

Expanding and equating coefficients, we get the following system of equations:

4s^2 - s + 1 = As^3 + As^2 + Bs^2 + B + Cs^2

4s^2 - s + 1 = As^3 + (A + B + C)s^2 + B + 1

Equating coefficients for each power of s:

s^3 coefficient: A = 0 (since the left side has no s^3 term)

s^2 coefficient: A + B + C = 4

s coefficient: 0 = -1

s^0 coefficient: B + 1 = 1

From the second and fourth equations, we find B = 0 and C = 4. Plugging these values back into the equation for A + B + C = 4, we find A = 0.

Therefore, the partial fraction decomposition is:

Y(s) = 4/(s + 1)

Now, we can find the inverse Laplace transform. Using a table of Laplace transforms, we find that:

L^(-1){Y(s)} = L^(-1){4/(s + 1)} = 4e^(-t)

Hence, the solution to the initial-value problem is:

y(t) = 4e^(-t)

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Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

Answer:

-9/5 , -8/5 , -7/5, -6/5 , -5/5.

Step-by-step explanation:

brainliest plsssss

(a) The expected amount of time a person spends waiting in line for 5 rides is 2.5 hours.

The waiting time for each ride follows an exponential distribution with an average waiting time of 1/2 an hour. The exponential distribution has a mean of 1/λ, where λ is the rate parameter. In this case, the rate parameter λ is 1/2, so the mean waiting time is 1/(1/2) = 2 hours.

Since the waiting times for the rides are independent, the total waiting time for 5 rides is the sum of the waiting times for each ride. Therefore, the expected amount of time a person spends waiting in line for 5 rides is 5 times the average waiting time, which is 5 * 2 = 10 hours.

(b) The standard deviation of the time a person spends waiting in line for 5 rides is 2.5 hours.

The standard deviation of the exponential distribution is given by σ = 1/λ, where λ is the rate parameter. In this case, the rate parameter λ is 1/2, so the standard deviation is 1/(1/2) = 2 hours.

Since the waiting times for the rides are independent, the variance of the total waiting time for 5 rides is the sum of the variances of the waiting times for each ride. Therefore, the variance of the time a person spends waiting in line for 5 rides is 5 times the variance of a single ride, which is 5 * 4 = 20 hours². Taking the square root of the variance gives us the standard deviation, which is √20 ≈ 4.47 hours.

(c) The probability that the person spends more than 1 hour altogether while waiting for two rides is approximately 0.0183.

To find the probability that the person spends more than 1 hour altogether while waiting for two rides, we need to calculate the cumulative distribution function (CDF) of the exponential distribution and evaluate it at the desired value.

The CDF of the exponential distribution is given by F(t) = 1 - e^(-λt), where t is the waiting time and λ is the rate parameter. In this case, λ = 1/2. We want to find the probability of spending more than 1 hour, so we evaluate the CDF at t = 1 and subtract it from 1:

P(time > 1 hour) = 1 - F(1) = 1 - (1 - e^(-1/2)) ≈ 0.0183.

Therefore, the probability that the person spends more than 1 hour altogether while waiting for two rides is approximately 0.0183.

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By applying angle relationships theory, it can be concluded that BCE and CED are Alternate Interior angles.

When a transversal intersects two parallel lines, there will be some angle relationships:

Now we take a look at the picture given and use the angle types above to name the relationship between angles.

As we are asked to determine the relationship between angles BCE and CED, we can take a look at the above explanation.

Thus, the angle relationship describes angles BCE and CED as Alternate Interior angles.

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Answer:

m∠ABC = m∠BED; Corresponding Angles Theorem

Step-by-step explanation:

I took the test on FLVS and got it right

Answer:

nonvascular plants

Step-by-step explanation:

Answer:

non-vascular plants

Step-by-step explanation:

they are a type of plant which contains a system that does not hold xylem and phloem. due to this non-vascular plants have more trouble with functions of internal transport of water.