Write an equation in standard form for the line whose slope is undefined and and passes through (-6,4).

Traveling on a boat, you were on it for 3 hours as you got off at Point B which is 15 kilometers away from Point A, with a boat speed of 5 kilometers per hour.

The time and distance formula is:

Distance = Speed × Time

Given that,

Traveling on a boat

Got off at Point B

Point B is 15 kilometers away from Point A

The boat traveled at a speed of 5 kilometers per hour

Substituting the values into the formula,

Distance = Speed × Time

We get:

15 = 5 × Time

To find dividing both sides of the equation by 5:

Time = 15/5

Time = 3 hours

Hence,

The required time is 3 hours.

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The complete question is:

If you were traveling on a boat and you got off at Point B, which is 15 kilometers away from Point A, and the boat traveled at a speed of 5 kilometers per hour, how long were you on the boat?

The probability of obtaining 3 or 4 in the scenario described is 17/24.

The probability of getting A or B defined as P(A) or P(B) is :

Given that :

P(3 or 4) = 3/8 + 1/3 = (9 + 8)/24 = 17/24

Therefore, the probability of 3 or 4 is 17/24.

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Answer:

C.) 7.2 x 10^8

Step-by-step explanation:

Jupiter to Sun= 7.8 x 10^8

Saturn to Sun= 1.5 x 10^9

1.5 x 10^9---> 15 x 10^8

(15-7.8) (10^8 - 10^8) =

7.2 x 10^8

Hope it helps!!!!

The width of the bulletin board cannot be determined with the given information, as any whole number could be the width if only the length is known to be 4 feet.

The question asks for the width of the bulletin board given that the length is 4 feet, and we are told that both measurements are in whole numbers. Without additional information about the actual measurement of the width or the relation between the length and the width, we cannot determine the width exactly. Since the length is 4 feet, which is a whole number, the width could be any whole number. The width could be the same as the length if the bulletin board is square, or it could be different if the board is rectangular.

Since we know that 1 yard is equivalent to 3 feet, it's relevant when converting between these units of measure, but this information is not directly helpful for determining the width without further details. If we had a ratio, scale factor, or additional information regarding the relationship between the length and width, then we could proceed with a mathematical calculation to find the width. For example, if the bulletin board were to have a given aspect ratio or if the problem stated that the width is a certain multiple of the length, then we could use that information to calculate the width.

The width of the bulletin board is 4 feet.

To find the width of the bulletin board, we need to know the scale factor between the length and width. Since the length is given as 4 feet, we can assume that the width is also in feet. Therefore, the width of the bulletin board is also 4 feet.

There is more variability in the basketball team member heights.

Mean Absolute Deviation, or MAD, describes the variability of a model. The greater the MAD, the more variability there is in the data. Since the MAD of the basketball players is higher than that of the badminton players, the basketball team members' heights vary more.

Answer:

Sample answer: When you graph the equation, you get a straight line that passes through the origin, which means the relationship is proportional. The constant of proportionality is the y-value when x = 1, which is 1/5.

Step-by-step explanation:

This is just a simpler version of what the other person said :)

To find the length and width of the rectangular porch, solve the equation (x+12)(x+5) = 120 for x. The length is x+12 feet, and the width is x+5 feet. Substitute the value of x to find the length and width.

To find the length and width of the rectangular porch, we need to solve the equation (x+12)(x+5) = 120 for x. Expanding the equation, we get x^2 + 17x + 60 = 120. Rearranging the terms and solving for x, we find x = 5. So the length of the porch is x+12 = 5+12 = 17 feet, and the width is x+5 = 5+5 = 10 feet. Therefore, the porch has a length of 17 feet and a width of 10 feet.

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Final answer:

To calculate the scale drawing dimensions of a room that measures 12ft by 9ft with a scale of 1 inch=3ft, divide each dimension by the scale factor. The room would be 4 inches by 3 inches on the scale drawing.

Explanation:

To find the dimensions of the room in the drawing when given that 1 inch=3 feet, we need to set up a conversion based on the scale provided. The room measures 12 feet by 9 feet, so we must divide each dimension by the scale factor to convert feet to inches in the drawing.

First, calculating the length:

12 feet ÷ 3 feet/inch = 4 inches

Next, calculating the width:

9 feet ÷ 3 feet/inch = 3 inches

Therefore, the dimensions of the room on the scale drawing would be 4 inches by 3 inches.

The correct inference that can be drawn from this survey is:

C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.

To determine which juice drink is most popular with customers, we need to find the drink with the highest frequency in the survey results.

From the table, we can see the frequency of each juice drink:

- Lemon Lift: 25

- Power Pear: 17

- Tangy Apple: 25

- Wild Berry: 21

The juice drink with the highest frequency is Lemon Lift and Tangy Apple, both with a frequency of 25.

Therefore, the correct inference that can be drawn from this survey is:

C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.

Answer:

3 kg/s

Step-by-step explanation:

Answer: The area of the figure is (D) 704 in².

Step-by-step explanation:  We are given to find the area of the figure.

We can see that the given figure is a parallelogram with two sets of parallel and congruent sides 22 in and 40 inch. And the height of the parallelogram is 32 in.

The area of a parallelogram with base 'b' units and height 'h' units is given by

[tex]A=b\times h.[/tex]

In the given figure,

base, b = 22 in   and   height, h = 32 in.

Therefore, the area of the parallelogram is

[tex]A=b\times h=22\times 32=704~\textup{in}^2.[/tex]

Thus, the area f the figure is 704 in².

Option (D) is correct

The parallelogram's area can be found by multiplying the base and height, resulting in 704 in² (option D).

The given figure is a parallelogram with two sets of parallel and congruent sides, measuring 22 inches and 40 inches, and a height of 32 inches. To find the area of the parallelogram, we use the formula A = b * h, where 'b' is the base length and 'h' is the height.

Given:

Base, b = 22 inches

Height, h = 32 inches

Using the formula, the area (A) of the parallelogram is:

A = 22 * 32

A = 704 square inches

So, the area of the figure is 704 square inches. Option (D) is the correct answer.

In conclusion, the parallelogram's area can be found by multiplying the base and height, resulting in 704 in². This confirms that option (D) is the correct answer to the problem.

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Out of the given options, the number of students with blue eyes, brown eyes, and hazel eyes can be determined using the information provided in the question.

Let's assume the number of students with hazel eyes is x. According to the given information, the number of students with blue eyes is 2 less than x, so it is x - 2. Additionally, there are twice as many students with brown eyes, so the number of students with brown eyes is 2x. The total number of students in the class is given as 34, so we can set up an equation:

x + (x - 2) + 2x = 34

Simplifying this equation, we get 4x - 2 = 34. Adding 2 to both sides, we have 4x = 36. Dividing both sides by 4, we find that x = 9.

Therefore, the number of students with blue eyes is 9 - 2 = 7, the number of students with brown eyes is 2(9) = 18, and the number of students with hazel eyes is 9. Thus, the correct options are a. 8, c. 12, and f. 34.

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(40+7) / 2 = 23.5

23.5 x 3 = 70.5

70.5 x 6 = 423 m3

Answer is C

For any two given points [tex](x_{1} ,y_{1} ) and(x_{2},y_{2})[/tex]

Rate of change =[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }.[/tex]

To find linear function with the greatest unit rate we find the rate of change of each points.

A) The given points are(2, 16) and (5, 10 )

Rate of change =[tex]\frac{10-16}{5-2}=\frac{-6}{2}=-3.[/tex]

B) The given points are :(2,14) and (6,12)

Rate of change=[tex]\frac{12-14}{6-2}=\frac{-2}{4}=\frac{-1}{2}.[/tex]

C) Points are (2,-24) and (5,-15)

Rate of change = [tex]\frac{-15+24}{5-2}=\frac{9}{3}= 3.[/tex]

D) Points are :(2,-12) and (6,-16)

Rate of change =[tex]\frac{-16+12}{6-2}=\frac{-4}{4}=-1.[/tex]

E) Points are  (2, -19 ) and (6, -17)

Rate of change =[tex]\frac{-17+19}{6-2}=\frac{-2}{4}=\frac{-1}{2}.[/tex]

Option C has the greatest rate of change.

The increasing linear function with the greatest unit rate is represented by the table in option B. The unit rate is 0.5.

The table that represents the increasing linear function with the greatest unit rate is option B (x y 2 14 6 12). In this table, as the value of x increases by 4, the value of y increases by 2. This gives us a unit rate of 2/4 or 0.5.

For the other options:

A. The unit rate is (-6)/3 = -2

C. The unit rate is 9/3 = 3

D. The unit rate is -4/4 = -1

E. The unit rate is (-17-(-19))/(6-2) = -2

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