What is the equation of this line?

Answer/Step-by-step explanation:

y = -x - 3

m = slope = (-1/1)

b = y-intercept = -3 or (0, -3)

Point 1: (0, -3)

Point 2: (-1, -2)

Point 3: (1, -4)

I hope this helps!

Answer:

Step-by-step explanation:

  y=-x-3

x | -3 | 0 |

y |  0 | -3|

1) x=-3

y=-(-3)-3

y=3-3

y=0

Thus, (-3,0)

2) x=0

y=-0-3

y=-3

Thus, (0,-3)

The equation takes into account the initial 480 units of distance covered in the first leg and the remaining distance (480 - t) covered in the second leg. By solving this equation, one can find the value of t, which represents the time taken for each leg of the journey.

To understand the equation 600t = 480(18 – t), let's break it down. The left-hand side of the equation, 600t, represents the total distance traveled in both legs combined, with 't' representing the time taken for each leg. The right-hand side of the equation, 480(18 – t), calculates the distance covered in the first leg (480) plus the distance covered in the second leg (480 - t).

The equation is derived from the concept of distance-speed-time relationship, where distance is equal to speed multiplied by time. In this case, the distance covered in each leg is represented by 480, and the time taken for each leg is represented by 't'. The remaining distance for the second leg is (480 - t), as the time taken for the second leg is subtracted from the total time of 18 (the total journey time).

By equating the two expressions, 600t and 480(18 – t), we are essentially saying that the total distance covered in both legs is equal to the sum of the distances covered in each individual leg. Solving this equation will yield the value of 't', providing the time taken for each leg of the journey.

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The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer: 6050

Step-by-step explanation: 2800 + 3250 = 6050

Answer:2500

Step-by-step explanation:

The Amount increases to 2800 after 2 years

it increases 3250 after 5 years

so , in 3 years it increased ( 3250-2800) = 450 rupees.

in 3 years it increased 450

so in 1 it increased 150

according to the problem the sum amounts to 2800 rupees

so in 2 years it increased (150*2)=

300 rupees ,

So the sum was (2800-300) =

2500 rupees

Answer:

B

Step-by-step explanation:

one half lb divided by 7 people will equal one fourteenth

Answer:

She bought 27 treats.

Step-by-step explanation:

20.25 ÷ 0.75 = 27

Step-by-step explanation:

i got confused whether it is 7/2 or /2-1

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17

Answer:

1. -6 (2y + 7)

2. 1/3 (2p - 45)

3. \(\frac{12x-32}{4}\)

4. sorry i'm not entirely sure how to do this one...

Step-by-step explanation:

1. factoring a number out of something is basically just dividing the given set (in this case -12y - 42) by the number you are trying to take out

so divide each part of the equation by -6

-12 ÷ -6 and -42 ÷ -6

now put the -6 out side a parenthesis to get -6 (2y + 7)

2. same thing here

divide both parts by 1/3 so 2/3p ÷ 1/3 and -15 ÷ 1/3

remember when dividing by fractions to flip the fraction and turn the sign to a multiplication sign

so here its the same thing as multiplying the numbers by 3

you should get 1/3 (2p - 45)

3.  this one is kinda simple, just take the given equation and divide it by 4

this is because a square has 4 equal sides

so dividing by 4 means that you would get the length og one side

you should get \(\frac{12x-32}{4}\)

4. sorry again idk how to help with this :(

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Here,

Given: Total number of freshman =500

mean =75 and standard deviation =7

a) the percentage of scores that fell between 68 and 82

340 is the number of freshman whose  scores that fell between 68 and 82

thus,

percentage = 340 /500 * 100

=> percentage = 68%

b)the percentage of scores that fell between 61 and 75

237 is the number of freshman whose  scores that fell between 61 and 75

thus,

percentage = 237/500 * 100

=> percentage = 47.4%

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

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Answer:

22 games

Step-by-step explanation:

From the barchart :

We can obtain the total number of goals scored :

Home goals (quarter 1 to quarter 4) :

= (9 + 6 + 8 + 7) = 30

Away goals (quarter 1 to quarter 4) :

= (2 + 7 + 4 + 5) = 18

Using the relation :

Mean goals scored = total goals scored / number of games played

Home games :

Mean goals = 2.5

Number of home games played = total goals / mean goals scored

= 30 / 2.5

= 22

Away games :

Mean goals = 1.8

Number of away games played = 18 / 1.8

= 10

Number of home and away games played in total = 22 + 10 = 32 games

Answer:

50%

Step-by-step explanation:

50%

$20=50%

$20 x 2= $40

The probability P(A or B) is equal to 5/10 = 0.5

P(A or B) is the probability that a randomly selected student plays either basketball of soccer.

On the diagram, we can see that there are a total of 10 students, such that 2 play only basketball and 3 play only soccer.

P(A or B) is equal to the quotient between the number of students that play one of the sports (here we don't count the ones that play both sports) and the total number of students.

Then we have:

P(A or B) = (2 + 3)/10 = 0.5

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Answer:

1:4

Step-by-step explanation:

the original would be

25:100

divide by 25

(25:100)/25

1/4

Answer:

3/4

Step-by-step explanation:

100-25=75

75%=3/4

Answer:

Swan85 is incorrect. Here is the correct answer.

The required graph of the line y = 2x -3 has been attached.

The equation of a line is typically written in slope-intercept form, which is:

y = mx + b

Where:

"y" represents the y-coordinate of a point on the line.

"x" represents the x-coordinate of the same point on the line.

"m" represents the slope of the line.

"b" represents the y-intercept of the line (where the line crosses the y-axis).

In this form, "m" and "b" are constants that determine the position and orientation of the line.

Here,

The line passes through the y-axis at -3 (when x = 0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs. As x increases by 1, y increases by 2.

Based on this graph, the graph of the line y = 2x -3 has been attached.

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Answer:

approximately 452.16

Step-by-step explanation:

4 squared = 16*9 = 144

144*3.14 = 452.16

You mention circles, so I assume the missing symbols are plus signs.

The first circle has equation x² + y² = 64 = 8², so it's centered at the origin and has radius 8. In polar coordinates, we take x = r cos(θ) and y = r sin(θ). Then this circle's equation is

(r cos(θ))² + (r sin(θ))² = 64

r² (cos²(θ) + sin²(θ)) = 8²

r = 8

Complete the square in the second circle's equation to determine its center and radius:

x² - 8x + y² = x² - 8x + 16 + y² = 16   ⇒   (x - 4)² + y² = 4²

so the second circle is centered at (4, 0) with radius 4. In polar coordinates, this equation becomes

(r cos(θ) - 4)² + (r sin(θ))² = 16

r² (cos²(θ) + sin²(θ)) - 8r cos(θ) + 16 = 16

r² - 8r cos(θ) = 0

r - 8 cos(θ) = 0

r = 8 cos(θ)

Determine where these two circles intersect:

8 = 8 cos(θ)

cos(θ) = 1

θ = arccos(1) + 2nπ

θ = 2nπ

where n is any integer. So both circles intersect once at (8, 0), which means they are tangent to one another, and since the second circle's radius is smaller, it must lie completely within the larger one.

The region between the two circles is the set

R = {(r, θ) : 0 ≤ θ ≤ π/2 and 8 cos(θ) ≤ r ≤ 8}

The area of R is given by the double integral,

\(\displaystyle \iint_R dA = \int_0^{\frac\pi2} \int_{8\cos(\theta)}^8 r \, dr \, d\theta\)

or the single integral

\(\displaystyle \iint_R dA = \frac12 \int_0^{\frac\pi2} \left(64 - 64\cos^2(\theta)\right) \, d\theta\)

Recall the half-angle identity for cosine:

cos²(x/2) = (1 + cos(x))/2

Then the area is

\(\displaystyle \iint_R dA = 16 \int_0^{\frac\pi2} \left(1 - \cos(2\theta)\right) \, d\theta\)

\(\displaystyle \iint_R dA = 16 \left(\theta - \frac12 \sin(2\theta)\right) \bigg|_0^{\frac\pi2}\)

\(\displaystyle \iint_R dA = \boxed{8\pi}\)

By following below steps, you will be able to determine which triangle represents the image of triangle XYZ after the given transformations.

To determine which triangle represents the image of triangle XYZ after it was reflected across line M and then dilated to form a similar triangle, you should follow these steps:

1. Identify the reflection: Find the image of triangle XYZ after reflecting it across line M. The reflected triangle will have the same shape and size, but its orientation and position will be changed.

2. Identify the dilation: From the reflected triangle, find the image that represents a similar triangle by checking if all corresponding angles are equal and the side lengths are proportional. This triangle will have the same shape as the reflected triangle, but its size may be different due to dilation.

By following these steps, you will be able to determine which triangle represents the image of triangle XYZ after the given transformations.

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Answer: B

Step-by-step explanation:

We can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7. This means that the equation of the line satisfying the given conditions is y = -3x + 7.

To find the equation of a line given its y-intercept and slope, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, the y-intercept is (0, 7) and the slope is -3.

The y-intercept represents the point where the line crosses the y-axis, which is given as (0, 7). This means that when x is 0, y is 7. So we know that b, the y-intercept, is 7.

The slope, which is -3, represents the change in y divided by the change in x. This means that for every increase of 1 in x, y decreases by 3.

Now, we can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7.

This means that the equation of the line satisfying the given conditions is y = -3x + 7.

In this equation, -3 is the slope of the line, indicating that the line is downward-sloping, and 7 is the y-intercept, representing the point where the line intersects the y-axis.

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Answer:

financial Institution

Step-by-step explanation:

ysbdndkkdkdks

Sampling randomly is considered a statistically valid reason for choosing subjects for a study as it reduces the risk of sampling bias. The correct option is a.

Sampling bias refers to a systematic error that occurs in the process of selecting subjects for a study, leading to a sample that is not representative of the population.

By selecting subjects randomly, researchers aim to eliminate any preconceived biases or preferences that may influence the selection process. This leads to a sample that is more representative of the population, providing a more accurate representation of the population's characteristics.

Furthermore, random sampling (with a large sample) has the potential to give a perfect reflection of the population, assuming that the sample size is large enough. This is because, as the sample size increases, the sample becomes more representative of the population and tends to exhibit the same characteristics and distributions as the population.

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Answer:

Cameron found 23 quarters and 57 dimes.

Step-by-step explanation:

Let the number of quarters Cameron found = Q

And the number of dimes = D

Since, total number of coins were 80,

Q + D = 80 -----(1)

Total amount of the coins was $11.45,

0.1D + 0.25Q = 11.45

10D + 25Q = 1145

2D + 5Q = 229 -----(2)

Equation (1) multiplied by 2 then subtracted by equation (2),

(2D + 5Q) - 2(Q + D) = 229 - 2(80)

(2D - 2D) + (5Q - 2Q) = 229 - 160

3Q = 69

Q = 23

From equation (1),

23 + D = 80

D = 57

Cameron found 23 quarters and 57 dimes.

Answer:

B. x^2x2 and 2x^22x2

Step-by-step explanation:

The expression given is:

8+ x^2 - 4x^3 + 5x+ 2x^28+x2−4x3+5x+2x2

Like terms are terms in which their variables and the power of the variables (exponents) are the same.

While it is not necessary that the coefficient of the variables are the same, the power of the variables must be the same.

In that case, the like terms in the expression given are x^2x2 and 2x^22x2 .

Note: The question says 8+ x^2 - 4x^3 + 5x+ 2x^28+x2−4x3+5x+2x2 but the option has -4x^2−4x2 .

In case its actually -4x^2−4x2 instead of -4x^3−4x3 , then,

 -4x^2−4x2 is also a like term and the answer will be D.

Answer:

Step-by-step explanation:

9 =  9 , 18 , 27 , 36 ,  45 , 54 , 63 ,  72, 81 , 90 , 99 , 108....

12 = 12 , 24 , 36 , 48 , 60, 72 , 84 , 96 , 108, ......

18  = 18 , 36 , 54 , 72 , 90 , 108 .....

First three common multiples of 9, 12 and 18 :  36 , 72 , 108

The perimeter of a square is 52 m. What is the area of the square ?

Perimeter of a square = 52 m

4 × side = 52

side = \( \frac{52}{4} \)

side = 13

So, area of square = (side)² = (13)² = 169 sq m.

Answer:

A = 169 m²

Step-by-step explanation:

The sides (s) of a square are equal , then

s = perimeter ÷ 4 = 52 ÷ 4 = 13 m

The area (A) of a square is calculated as

A = s² = 13² = 169 m²