What is the mean of these number 2.45 3.12 2.8

Given an infinite grid, initial cell position (x, y) and a sequence of other cell position which needs to be covered in the given order.

The task is to find the minimum number of steps needed to travel to all those cells.

Note: Movement can be done in any of the eight possible directions from a given cell that is from cell (x, y) you can move to any of the following eight positions:(x-1, y+1), (x-1, y), (x-1, y-1), (x, y-1), (x+1, y-1), (x+1, y), (x+1, y+1), (x, y+1) is possible

Examples:

Input: points[] = [(0, 0), (1, 1), (1, 2)]

Output: 2

Move from (0, 0) to (1, 1) in 1 step(diagonal) and

then from (1, 1) to (1, 2) in 1 step (rightwards)

Input: points[] = [{4, 6}, {1, 2}, {4, 5}, {10, 12}]

Output: 14

Move from (4, 6) -> (3, 5) -> (2, 4) -> (1, 3) ->

(1, 2) -> (2, 3) -> (3, 4) ->

(4, 5) -> (5, 6) -> (6, 7) ->

(7, 8) -> (8, 9) -> (9, 10) -> (10, 11) -> (10, 12)

Since all the given points are to be covered in the specified order.

Find the minimum number of steps required to reach from a starting point to next point, then the sum of all such minimum steps for covering all the points would be the answer.

One way to reach from a point (x1, y1) to (x2, y2) is to move abs(x2-x1) steps in the horizontal direction and abs(y2-y1) steps in the vertical direction, but this is not the shortest path to reach (x2, y2).

The best way would be to cover the maximum possible distance in a diagonal direction and remaining in horizontal or vertical direction.

If we look closely this just reduces to the maximum of abs(x2-x1) and abs(y2-y1).

Traverse for all points and summation of all diagonal distance will be the answer.

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Answer:

The number of hours and weeks start at (0,0). This is a strong positive association. The numbers of hours is increased by 3 each week. The graph is moving upward, which means it is positive, and it is not scattered and strong.

The equation and interpret the slope is given below.

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The number y of hours of cello lesson time you take after x weeks is represented by the equation y=3x graph

now,

The number of hours and weeks start at (0,0). This is a strong positive association. The numbers of hours is increased by 3 each week. The graph is moving upward, which means it is positive, and it is not scattered and strong.

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Answer:

The word problem is "How many $25 are there in $125?"

Step-by-step explanation:

Given

\(n(\$25) = \$125\)

Required

Write a word problem for the expression

We start by solving the given equation

\(n(\$25) = \$125\)

Divide both sides by $25

\(\frac{n(\$25)}{\$25} = \frac{\$125}{\$25}\)

\(n = \frac{\$125}{\$25}\)

\(n = 5\)

This implies that there are 5, $25 in $125

Hence; The word problem is "How many $25 are there in $125?"

Answer:

so sorry

Step-by-step explanation:

I'm sorry I need points.

...

Answer:

15*5 = 75

Step-by-step explanation:

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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Answer:

B

Step-by-step explanation:

the line has a positive slope. you can tell by comparing the equation of the line to y=MX+c where m=slope= coefficient of x.

In this case the coefficient of x is positive 3.

The mean of the given data set is 15.625, the median is 15.5, and there is no mode for this data set.

Given data set is {17, 11, 8, 15, 28, 20, 10, 16}.

We need to find the mean, median, and mode of the given data set.

The mean is the average of the data set.

Mean: The formula for the mean is:

Mean = (Sum of all observations) / (Total number of observations)

Calculation: Sum of all observations = 17 + 11 + 8 + 15 + 28 + 20 + 10 + 16= 125

Total number of observations = 8

Therefore, Mean = 125/8 = 15.625

So, the mean of the given data set is 15.625.

The median is the middle number when the data set is arranged in order.

Median:Firstly, we will arrange the data set in ascending order:{8, 10, 11, 15, 16, 17, 20, 28}

Total number of observations = 8

So, the middle two numbers are (15 + 16) / 2 = 15.5 and 16.

Therefore, the median of the given data set is 15.5.

The mode is the most frequent value in the data set.

Mode: There is no most frequent value in the given data set.

Each value occurs once.

Hence, there is no mode for this data set.

Thus, the mean of the given data set is 15.625, the median is 15.5, and there is no mode for this data set.

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Answer:

21 + [36/(12 - 6) + 2 - 5]x 3= 30

Step-by-step explanation:

The first quartile (Q1) for the IQ scores of adults is approximately 87.154. This means that 25% of adults have an IQ score of 87.154 or below, while 75% have a higher score.

The first quartile (Q1) is the IQ score that separates the bottom 25% from the top 75% of adults. In this case, we are given that the IQ scores of adults are normally distributed with a mean of 98.2 and a standard deviation of 16.4.

To find Q1, we need to determine the IQ score below which 25% of the scores fall. In a normal distribution, the z-score can be used to find the corresponding percentile. The z-score represents the number of standard deviations a particular value is from the mean.

To find Q1, we can use the z-score formula:

z = (X - μ) / σ

Where X is the IQ score, μ is the mean, and σ is the standard deviation.

To find the z-score corresponding to the 25th percentile, we look up the z-score value in a standard normal distribution table. For the 25th percentile, the z-score is approximately -0.674.

Now, we can rearrange the z-score formula to solve for X:

X = μ + z * σ

X = 98.2 + (-0.674) * 16.4

Calculating this expression, we find:

X ≈ 98.2 - 11.046

X ≈ 87.154

Therefore, the first quartile (Q1) for the IQ scores of adults is approximately 87.154. This means that 25% of adults have an IQ score of 87.154 or below, while 75% have a higher score.

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Answer:

37

Step-by-step explanation:

Answer:

40 inches

Step-by-step explanation:

========================================================

Explanation:

For any inscribed quadrilateral like this, the opposite angles are always supplementary. This means the angles add to 180

B+D = 180

(2x-1) + (3x-59) = 180

(2x+3x) + (-1-59) = 180

5x-60 = 180

5x = 180+60

5x = 240

x = 240/5

x = 48

Use this x value to find angle A

A = 2x+4

A = 2*48+4

A = 96+4

A = 100

This then means,

A+C = 180

C = 180-A

C = 180-100

C = 80 degrees

Side note: The term "cyclic quadrilateral" is the same as "inscribed quadrilateral".

Answer:

The product of two irrational numbers can be either rational or irrational. This is because if a number is multiplied by is reciprocal it is rational.

Step-by-step explanation:

Answer:

The product of two irrational numbers will mostly be another irrational number but sometimes rational.

Step-by-step explanation:

√2 and √5 equals 3.65... which is irrational but

√3 and-√3 equals 0

Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

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The largest possible volume of the given box is; 96.28 ft³

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

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i) The mean of x is 68.33 grams.

ii) The standard deviation of x is 2.23 grams.

A standard deviation or (σ ) is a measurement of the data's dispersion from the mean. A low standard deviation indicates that data are concentrated around the mean, whereas a high standard deviation shows that data are more dispersed.

If the standard deviation is close to zero, the data points are close to the mean; otherwise, if the standard deviation is high or low, the data points are, respectively, above or below the mean.

i) Properties of expected values establish that

\($\mathrm{E}(W)=\mathrm{E}(P)+\mathrm{E}\left(X_1\right)+\ldots+\mathrm{E}\left(X_{12}\right)$\)

Because all 12 eggs have the same mean weight, this becomes

\($\mathrm{E}(W)=\mathrm{E}(P)+12 \times \mathrm{E}\left(X_i\right)$\)

We were told that

\($\mathrm{E}(W)=840$ and $\mathrm{E}(P)=20$, so we can solve\)

\($840=20+12 \times \mathrm{E}\left(X_i\right)$ to find $\mathrm{E}\left(X_i\right)=\frac{840-20}{12} \approx 68.33$ grams.\)

ii) Because of independence, properties of variance establish that

\($${Var}(W)={Var}(P)+{Var}\left(X_1\right)+{Var}\left(X_2\right)+\ldots+{Var}\left(X_{12}\right)$$\)

Because all 12 eggs have the same variance of their weights, this becomes

\(${Var}(W)={Var}(P)+12 \times {Var}\left(X_i\right)$\)

We were told that

\(${SD}(W)=7.9\ \text {and}\ {SD}(P)=1.7$ Therefore, ${Var}(W)=(7.9)^2=62.41$ and ${Var}(P)=(1.7)^2=2.89$\)

We can solve

\($ 62.41=2.89+12 \times {Var}\left(X_i\right)$\)

To find

\(${Var}\left(X_i\right)=\frac{62.41-2.89}{12}=4.96$\)

Thus, SD\((X_i\right))=\sqrt{(4.96)} \approx\) 2.23 grams.

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Answer:

16 19/50

Step-by-step explanation:

first make improper fractions of both 3 9/10 and 4 1/5

mutltiply the denomiator (the number on the bottom) by the whole number, add the numerator (the number on the top) and put that number over the denomiator. 3 9/10 = 39/10 and 4 1/5 = 21/5. Multiply the improper fractions. numerator x numerator and write that on the top with a line under it. Multiply the denomiators and write that on the bottom. 39*21= 819. 10*5=50. your number would be 819/50. Then divide 819 by 50. You get 16 19/50

Answer:

1/35 every hour

Step-by-step explanation:

The number of hours between 10pm and 7:20AM is 9 hours and 20 minutes. This is computed by noting that there are 2 hours till midnight and then 7 hours and 20 minutes till 7:20AM

So total time the water decreased = 9 hours and 20 minutes
20 minutes = 20/60 = 1/3 of an hour
So time taken in hours = 9 1/3 = 28/3 hours

4/15 of the pool depth decreased in 28/3 hours

Rate of decrease  per hour = 4/15 ÷ 28/3

=4/15 x 3/28 =(4 x 3)/(15 x 28) = 12/420

Dividing numerator and denominator by 12 gives
(12 ÷ 12)/(420 ÷ 12) = 1/35

So the water level dropped by 1/35 every hour

Answer:

{(-8,-8), (9, 9),(4,5), (4,0)}

Step-by-step explanation:

A relation that is a function does not have any repeating x-values.

A function has one input assigned to exactly one output.

The x-value of 4 repeats in the top set:

{(-8,-8), (9, 9),(4,5), (4,0)}

Therefore, the set is not a function.

Brainilest Appreciated.

Answer:

7.5 cm.

Step-by-step explanation:

The height of a rectangle can be calculated using the rectangle's base and area using the following formula:

height = area / base

This formula can be derived from the formula for the area of a rectangle:

area = base x height

By rearranging this formula, we get:

height = area / base

Therefore, if we know the area and base of a rectangle, we can use this formula to calculate its height.

1) rewrite

Height = are / base

2) plug in

h = 30 cm / 4 cm

3) solve (divide)

height = 7.5 cm

Therefore, the height of the rectangle is 7.5 cm.

Answer:

the answer u have is right cause i have telepathy

Step-by-step explanation:

Answer:

D because you add the top and bottom then multiply height. Then divide by 2

Step-by-step explanation:

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

Step-by-step explanation:

let the 1st number be x

given,

2nd number = 10 less than 1st number = x - 10

3rd number = 2 times the 1st number = 2x

their sum = 74

a/q,

x + x - 10 + 2x = 74

after solving the equation,

→ x + x - 10 + 2x = 74

→ 4x - 10 = 74

→ 4x = 74 + 10 = 84

→ 4x = 84

→ x = 84/4 = 21

therefore,

1st number = x = 21

2nd number = 10 - x = 21 - 10 = 11

3rd number = 2x = 2 × 21 = 42

hope this answer helps you dear......take care and may u have a great day ahead!

49 is the amount that would need to be added in order to "complete the square".

Given the quadratic equation below:

x² + 14x + 3=0

In order to complete the square, we will add the square of the half of the coefficient of x to both sides.

Coefficient of x = 14

Half of coefficient of x = 14/2 = 7

Square of the half of coefficient of x = 7²

Square of the half of coefficient of x = 49

Hence the number that would have to be added to "complete the square" is 49.

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Answer:

\(m=-\frac{2}{27}\)

Step-by-step explanation:

\(Slope (m) =\frac{y_2-y_1}{x_2-x_1}\\(x_1,y_1)=(-18,5)\\(x_2,y_2)=(-45,7)\\m=\frac{7-5}{-45-(-18)}\\m=\frac{2}{-45+18}\\m=\frac{2}{-27}\\m=-\frac{2}{27}\)

Answer:

\(\Large \boxed{\boxed{\textsf{$v=15t^2+6$}}}\)

Step-by-step explanation:

If the position of a particle, i.e, the displacement is given by:

\(\Large \textsf{$f(t)=5t^3+6t+9$}\)

Then the velocity, is the rate at which the displacement changes over time. This is given by the derivative of the displacement function. Hence velocity:

\(\Large \textsf{$v=f'(t)$}\)

To differentiate the function, we can follow this simple rule:

\(\Large \boxed{\textsf{For $y=ax^n$, $\frac{dy}{dx}=anx^{n-1}$, where the constant term is excluded}}\)

\(\Large \textsf{$\implies f'(t)=15t^2+6$}\)

Therefore, velocity at time t:

\(\Large \boxed{\boxed{\textsf{$\therefore v=15t^2+6$}}}\)

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(a)The linear function that models the monthly cost C as a function of the distance driven d is:

C(d) = 0.25d + 260

(b) we predict that it would cost $625 per month to drive 1,500 miles.

A linear function is simple and easy to interpret, which makes it a useful model for practical purposes.

(a) Let's use the two data points to find the equation of the line that models the monthly cost as a function of the distance driven. The slope of the line is the change in cost over the change in distance, so we have:

slope = (460 - 380) / (800 - 480) = 80 / 320 = 0.25

The y-intercept is the cost when no distance is driven, so we have:

y-intercept = 380 - 0.25 * 480 = 260

(b) To predict the cost of driving 1,500 miles per month, we simply plug in d = 1500 into the linear function we found in part (a):

C(1500) = 0.25(1500) + 260 = $625

Therefore, we predict that it would cost $625 per month to drive 1,500 miles.

(c) The graph of the linear function is a straight line with slope 0.25 and y-intercept 260. The slope represents the rate of change of the cost with respect to the distance driven. In other words, for each additional mile driven, the cost increases by $0.25.

The y-intercept represents the fixed cost of driving the car, which includes expenses such as insurance and maintenance that do not depend on the distance driven.

(d) The y-intercept represents the fixed cost of driving the car, which includes expenses such as insurance and maintenance that do not depend on the distance driven.

(e) A linear function gives a suitable model in this situation because the relationship between the monthly cost and the distance driven is approximately linear over the range of distances we have data for. Additionally, a linear function is simple and easy to interpret, which makes it a useful model for practical purposes.

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Question:

Solution:

The population growth is given by the following equation:

where P represents the number of individuals and t represents the number of years from the time of introduction. Now, if we have a population of 5656 fish, then the above equation becomes:

this is equivalent to:

this is equivalent to:

this is equivalent to:

now, the inverse function of the root function is the exponential function. So that, we can apply the exponential function to the previous equation:

this is equivalent to:

this is equivalent to:

now, we can apply the properties of the logarithms to the previous equation:

this is equivalent to:

we can conclude that the correct answer is:

9 years

The distance between the two planes after 4 hours is approximately 150 km.

to find out how far apart the planes are after 4 hours, we can use the concept of vectors.

Let's start by finding the positions of the two planes after 4 hours.

The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.

To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.

Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.

Now, let's calculate the x and y components for both planes:

For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km

For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km

the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.

Now, substitute the values we calculated into the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)

After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.

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Answer:

I don't know. You need to ask someone else.