David leaves the house to go school he walk 200 meters west and 125 meters north how far is he from his starting point.round to the nearest whole meter

Answer:

I just picked d it made more anse

Step-by-step explanation:

The statement "There is no clear association between age and time" is the correct option (C) is correct.

Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the coordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

It is given that:

The scatter plot is shown in the picture.

The ages of a group of students and the amount of time each student spends contacting friends.

As we know from the; line of best fit:

Linear regression uses scatter data to figure out the best way to define the dots' relationship.

If we draw a line of the best fit we will see; There is no clear association between age and time.

Thus, the statement "There is no clear association between age and time" is the correct option (C) is correct.

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Answer:

67

Step-by-step explanation:

duh

Answer:

Step-by-step explanation:

I also need help with this one.

Given a quadratic equation: y = ax² + bx + c, "a", "b" and "c" are the coefficients of the regression and can be estimated using the formulas below.

a = {[Σ x²y * Σ xx ] - [Σ xy * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}

b = {[Σ xy * Σ x²x² ] - [Σ x²y * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}

c = [Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x² / n ]}

Where:

Σ xx = [Σ x²] - [ ( Σ x )² / n]

Σ xy = [Σ x y] - [ ( Σ x * Σ y ) / n]

Σ xx² = [Σ x³] - [ ( Σ x² * Σ x ) / n]

Σ x²y = [Σ x²y] - [ ( Σ x² * Σ y ) / n]

Σ x²x² = [Σ x⁴] - [ ( Σ x² )² / n]

And:

x and y are the Variables.

n = Number of Values or Elements

Σ x = Sum of x Scores

Σ y = Sum of y Scores

Σ x² = Sum of Square of x

Σ x³ = Sum of Cube of x

Σ x⁴ = Sum of Power Four of x

Σ xy= Sum of the Product of x and y

Σ x²y = Sum of Square of x and y

To solve the problem, follow the steps below.

Step 01: Find n and the values of x and y.

n = 6.

x = 8, 10, 12, 14, 16, 18

y = 45.94, 56.84, 63.88, 67.07, 66.4, 61.87

Step 02: Find Σ x, Σ y, Σ x², Σx³, Σ x⁴, Σ xy, Σ x²y

* (,) represents a decimal point.

Step 03: Find Σ xx, Σ xy, Σ xx², Σ x²y, Σ x²x²

Substitute the values above in the equations for each variable:

Σ xx = [Σ x²] - [ ( Σ x )² / n]

Σ xy = [Σ x y] - [ ( Σ x * Σ y ) / n]

Σ xx² = [Σ x³] - [ ( Σ x² * Σ x ) / n]

Σ x²y = [Σ x²y] - [ ( Σ x² * Σ y ) / n]

Σ x²x² = [Σ x⁴] - [ ( Σ x² )² / n]

Doing the same for the other variables, you have the results:

* (,) represents a decimal point.

Step 03: Find "a".

a = {[Σ x²y * Σ xx ] - [Σ xy * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}

Step 04: Find "b".

b = {[Σ xy * Σ x²x² ] - [Σ x²y * Σ xx² ] } / { [ Σ xx * Σ x²x²] - [Σ xx² ]²}

Step 05: Find "c".

c = [Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x² / n ]}

Answer:

The equation is:

If y is directly proportional to x, when x = 60, y = 6.

Proportional refers to a relationship between two quantities in which one quantity is a constant multiple of the other. In other words, if one quantity increases or decreases by a certain factor, the other quantity will also increase or decrease by the same factor.

Directly proportional is a specific type of proportionality where two quantities increase or decrease by the same factor. In other words, if one quantity doubles, the other quantity also doubles. If one quantity triples, the other quantity also triples, and so on.

In the given question,

If y is directly proportional to x, we can use the formula:

y = kx

where k is the constant of proportionality.

To find the value of k, we can use the given values:

y = kx

50 = k(500)

Solving for k:

k = 50/500

k = 0.1

Now that we know the value of k, we can use the formula to find the value of y when x = 60:

y = kxy = 0.1(60)

y = 6

Therefore, when x = 60, y = 6.

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Answer:

Step-by-step explanation:

x²+10x+21=0

x²+10x+(10/2)²-(10/2)²+21=0

x²+10x+25-25+21=0

(x+5)²-4=0

(x+5)²=4

(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²

(x+y)²=x²+2xy+y²

coefficient of x=2y

y²=[(coefficient of x)/2]²=(2y/2)²=y²

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

The tangents BC and DC are drawn from a common point C to the circle A.

Therefore, by The Two-Tangent Theorem:

BC ≅ DC

Hence, the required reason is:

The Two-Tangent Theorem

Answer:

7 < 8.5 < 9

Step-by-step explanation:

Well < and > mean greater and less than so put it from the smallest to the largest

If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:

dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]

The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.

We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.

Here's the Python code:

def change(amount, coins):

   n = len(coins)

   dp = [[0] * (amount+1) for _ in range(n+1)]

   dp[0][0] = 1

   for i in range(1, n+1):

       dp[i][0] = 1

       for j in range(1, amount+1):

           dp[i][j] = dp[i-1][j]

           if j >= coins[i-1]:

               dp[i][j] += dp[i][j-coins[i-1]]

   return dp[n][amount]

For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

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Answer:

The solution to the system of equations be:

\(x=3,\:y=-1\)

Hece, option B is correct.

Step-by-step explanation:

Given the system of equations

\(\begin{bmatrix}x-3y=6\\ 2x+2y=4\end{bmatrix}\)

Multiply x − 3y = 6 by 2:      2x-6y=12

\(\begin{bmatrix}2x-6y=12\\ 2x+2y=4\end{bmatrix}\)

so

\(2x+2y=4\)

\(-\)

\(\underline{2x-6y=12}\)

\(8y=-8\)

so the system of equations becomes

\(\begin{bmatrix}2x-6y=12\\ 8y=-8\end{bmatrix}\)

Solve 8y = -8 for y

\(8y=-8\)

Divide both sides by 8

\(\frac{8y}{8}=\frac{-8}{8}\)

\(y=-1\)

\(\mathrm{For\:}2x-6y=12\mathrm{\:plug\:in\:}y=-1\)

\(2x-6\left(-1\right)=12\)

\(2x+6=12\)

subtract 6 from both sides

\(2x+6-6=12-6\)

\(2x=6\)

Divide both sides by 2

\(\frac{2x}{2}=\frac{6}{2}\)

\(x=3\)

Therefore, the solution to the system of equations be:

\(x=3,\:y=-1\)

Hence, option B is correct.

⚽ From Equation (i) we get :

⚽ Now, Substitute the equation (iii) in equation (ii) we get :

→ 2(6 + 3y) + 2y = 4

→ 12 + 6y + 2y = 4

→ 8y = 4 - 12

→ 8y = -8

→ y = -8 ÷ 8

→ y = -1

⚽ Now Substituting value of y = -1 in equation (iii) we get :

→ x = 6 + 3y

→ x = 6 + 3(-1)

→ x = 6 + (-3)

→ x = 6 - 3

→ x = 3

Answer:

im 11  and

Step-by-step explanation:

i just need points i have -32

Answer:

given and explained below.

Step-by-step explanation:

b)

opposite/ adjacent = tan(∅)

tan(∅) = 8 /5

∅ = \(tan^{-1}( 8/5)\)

∅ = 58.99°

c)

opposite/hypotenuse = sin(x)

sin(x) = 7 / 12

x = \(sin^{-1} (7/12)\)

x = 35.68°

adjacent/hypotenuse = cos(y)

cos(y) =   7/12

y=\(cos^{-1} (7/12)\)

y = 54.31°

d)

cos(T) = adjacent / hypotenuse

cos(T) = 7.5/9

T =      \(cos^{-1}(7.5 / 9) \)

∠T=33.56°

Step-by-step explanation:

the 3 main tools we need here :

- the sum of all angles in a triangle is always 180°.

- Pythagoras : c² = a² + b²

- the law is sine : a/sin(A) = b/sin(B) = c/sin(C)

b)

in order to be able to use the law of sine, we need to get the length of the baseline.

Pythagoras

baseline² = 8² + 5² = 64 + 25 = 89

baseline = sqrt(89)

8/sin(angle) = sqrt(89)/sin(90) = sqrt(89)/1 = sqrt(89)

sin(angle) = 8/ sqrt(89) = 0.847998304...

angle = 57.99461679...° ≈ 58° (or 57.99° officially rounded to the nearest hundredths)

c)

7/sin(x) = 12/sin(90) = 12/1 = 12

sin(x) = 7/12 = 0.583333333...

x = 35.68533471...° ≈ 35.69°

y = 180 - 90 - 35.69 = 54.31°

d)

9² = RG² + 7.5²

81 = RG² + 56.25

RG² = 24.75

RG = sqrt(24.75) = 4.974937186...

sqrt(24.75)/sin(T) = 9/sin(90) = 9/1 = 9

sin(T) = sqrt(24.75)/9 = 0.552770798...

T = 33.55730976...° ≈ 33.56°

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:

The expressions are alike that each expression show that that we are going a distance of 5 units from 3.

The difference is that the first expression is going a distance of 5 units left from 3 on the number line and the answer is -2.  The second expression is also a distance of 5 units from 3, but it is the distance of right 5 units from 3 which is 8.

Step-by-step explanation:

The state income tax owed on a $70,000 per year salary is $ $3,684.

To compute the state income tax payable on a $70,000 per year wage, we must first estimate how much of the salary falls into each progressive tax band and then calculate the tax owed for each range.

The first $2,000 in earnings is taxed at 2%:

This portion's tax = $2,000 x 0.02 = $40

The following $7,000 in earnings (from $2,001 to $9,000) is taxed at 5%:

This portion's tax = $7,000 x 0.05 = $350

The remainder of your income beyond $9,000 is taxed at 5.4%:

This portion's tax = ($70,000 - $9,000) x 0.054

= $61,000  x 0.054

= $ 3294

Now, the total amount of tax owed = 40 + 350 + 3294

= $ 3,684.

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Correct question:

A certain state uses the following progressive tax rate for calculating individual income tax:

Income Range ($)          Progressive Tax Rate

0-2000                                   2%

2001-9000                               5%

9001 and up                         5.4%

Calculate the state income tax owed on a $70,000 per year salary.

tax = $[?]

Round your answer to the nearest whole dollar amount

a. Drive Co.'s revenue function R(X) = (-x^2/5)-247x.

b. The price per drive when revenue is maximized is $370.6.

c. The maximum profit made from the sale of these drives if Drive Co. incurs production costs of $179 per drive and has fixed costs of $250 is $6030.

What is a function?

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

Drive Co. sells portable 905 hard drives when the price is $66/drive and can sell 800 hard drives when the price is $87/drive.

Let p be the price of hard drive and x be the number of hard drives.

When x = 905, then p = 66.

So, (x1,p1) = (905,66)

Similarly, when x = 800, then p = 87.

So, (x2,p2) = (800,87)

So, the equation of line between x and p is given as -

p-p1=[(p2-p1)/(x2-x1)}(x-x1)

Plugging in the values -

p-66=[(87-66)/(800-905)](x-905)

p-66=(21/-105)(x-905)

-105p+6930=21x-19005

-105p-21x=-19005-6930

-105p-21x=-25935

p=(-21x/105)-247

p=(-x/5)-247

So, the price function p(x) = (-x/5)-247.

Now, derive the revenue function -

Revenue = Number of drives × price per drive

Revenue = x · p(x)

Revenue = x · (-x/5)-247

Revenue = (-x^2/5)-247x

Therefore, the revenue function R(x) = (-x^2/5)-247x.

For maximum revenue -

dR/dx = R'(x) = 0 and R''(x)<0

dR/dx = -2x/5-247 = 0

-2x/5 = 247

x = -1235/2

x = -617.5

Therefore, the number of drives at maximum revenue is 618 drives.

The price per drive is -

p(618) = {-618/5}-247

p(618) = -370.6

Therefore, the price per drive is $370.6.

Now, the profit S(x) = Revenue R(x) - Total Cost C(x)

C(x) = fixed cost + variable cost

Variable cost = number of drives × price per drive

C(x) = 250 + 179x

Substituting the values -

S(x) = [(-x^2/5)-247x] - [250+179x]

S(x) = (-x^2/5)-68x-250

In order to get maximum profit differentiate the equation and equate it to 0.

dS/dx = 0

dS/dx = -2x/5-68 = 0

-2x/5 = 68

x = 340/-2

x = -170

d^2S/dx^2 = -2/5<0

So, maximum profit will be at x = 170.

S max = S(170) = [(170)^2 /5] - 68 (170) - 250

= 5780 - 11560 - 250

= -6030

Therefore, the maximum profit earned is $6030.

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Answer:

as following

Step-by-step explanation:

\((3y^3+5y^2-4y) (2y^2-6y-7) \\=y(3y^2+5y-4)(2y^2-6y-7)\\=y(6y^4-16y^3-21y^2+10y^3-30y^2-35y-8y^2+24y+28)\\=y(6y^4-6y^3-59y^2-11y+28)\\=6y^5-6y^4-59y^3-11y^2+28y\)

Answer: (2,1) (1,3)

Step-by-step explanation:

Answer:

Its C and E

Step-by-step explanation:

I got it right

It's true that the researcher could produce a narrower confidence interval by increasing the sample size to 150.

A confidence interval is a range of values within which the true value of a population parameter is expected to fall with a certain degree of confidence. The width of a confidence interval depends on several factors, including the sample size, the level of confidence chosen, and the variability of the data.

If the confidence interval is too wide, it means that there is a lot of uncertainty about the true value of the population parameter. In other words, the sample size is not large enough or the data is too variable to provide a precise estimate.

Increasing the sample size can help to reduce the width of the confidence interval, as it provides more information about the population and can help to reduce the impact of random sampling error. Therefore, it is true that the researcher could produce a narrower confidence interval by increasing the sample size to 150.

However, it is important to note that other factors, such as the level of confidence chosen and the variability of the data, will also affect the width of the confidence interval.

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Remember to convert degrees to radians if required. Rounded to three decimal places, we have:

1st set: (5.831, 3.678 radians)
2nd set: (5.831, 9.960 radians)

It appears that there is a small typo in the coordinates you provided. Assuming the correct coordinates are (-5, -3), I can help you find the polar coordinates.

First, let's calculate the radial distance (r) and the angle (θ) for the point (-5, -3).

To find r, use the formula: r = √(x² + y²)
r = √((-5)² + (-3)²) = √(25 + 9) = √34

Now, we can find the angle (θ) using the arctangent formula: θ = arctan(y/x)
θ = arctan(-3/-5) = arctan(0.6)

Now, convert θ from radians to degrees: θ ≈ 30.964°

Since the point is in the third quadrant, add 180° (or π radians) to the angle:
θ = 30.964° + 180° ≈ 210.964°

Now, we have our first set of polar coordinates: (r, θ) ≈ (5.831, 210.964°)

To find the second set of polar coordinates, simply add 360° (or 2π radians) to the angle:
θ₂ = 210.964° + 360° ≈ 570.964°

The second set of polar coordinates is: (r, θ) ≈ (5.831, 570.964°)

Remember to convert degrees to radians if required. Rounded to three decimal places, we have:

1st set: (5.831, 3.678 radians)
2nd set: (5.831, 9.960 radians)

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Step-by-step explanation:

use the conversation factor, 1mile equals 1.609km

Write a factor that you can use to rationalize the denominator of √2/√5−8.

Answer: √5+8

Answer:

A= 153.86

Step-by-step explanation:

49×3.14= 153.86

Answer:

Area= 153.86 inches²

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the road is 7 * 5280 = 36960 feet

The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.

6/100 * 36960 = 221760/100 = 2217.6 is the rise.

Kiera's actions reveal a combination of options A, B, and D. Firstly, Kiera demonstrates her belief in her mother's abilities by taking charge and handling a problematic situation independently.

When her mother's campaign video fails to load, Kiera promptly steps in and manages to get the content loaded, exhibiting her resourcefulness and support for her mother's cause. Furthermore, Kiera attends the luncheon despite feeling uneasy and out of place, indicating her willingness to show up and support her mother's endeavors. However, Kiera's discomfort highlights her struggles with her mother's newfound political fame, and the changes that come with it, such as the exclusive event that she attends. Lastly, Kiera's decision to seek out friends and social connections suggests her recognition of the shifting dynamics in her household and her need for companionship amidst the family's political spotlight. Therefore, Kiera's actions in chapter 2 reveal her loyalty and support for her mother's campaign, but also her internal conflict and search for stability amidst the changes in her life.

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The required volume of the sphere is given as 33.49 cubic centimeters.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
Radius of sphere = 2 cm
The volume of the sphere = 4/3πr³
                                 = 4/3 × 3.14 × 2³
                                 = 33.49 cm³

Thus, the required volume of the sphere is given as 33.49 cubic centimeters.

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The probability of rolling at least one die with a value greater than or equal to 5 when two 6-sided dice are tossed will be 11/36.

When two 6-sided dice are tossed, each die has six possible outcomes (numbers 1 to 6). To calculate the probability of at least one die having a value greater than or equal to 5, we need to consider the complementary event of both dice having a value less than 5.

The probability of a single die having a value less than 5 is 4/6 since there are four outcomes (1, 2, 3, 4) out of six that satisfy this condition. As the dice are independent, we multiply the probabilities of both dice having values less than 5: (4/6) * (4/6) = 16/36.

Now, to find the probability of at least one die having a value greater than or equal to 5, we subtract the probability of both dice having values less than 5 from 1: 1 - 16/36 = 20/36 =11/36 (which is 5/9 when simplified).

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Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.

Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.

Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.

In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.

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Answer:

A

Explanation:

A line graph is a unique type of graph which is used in statistical application which represents the change in a quantity with respect to another quantity.

The price of different flavors of chocolates varies which can be represented, these variation is plotted in a two-dimensional XY plane.

If the relation include two measures can be presented by using a straight line in a graph called as linear graphs or a linear graph.

There are different types of the line graph, Simple Line Graph refers to Only one line is plotted on the graph, Multiple Line Graph where More than one line plotted on the same set of axes.

Compound Line Graph refers to the information can be divided into two or more types of data and this line graph is called a compound line graph which can be drawn to show the component.