Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

A) y = - 2/3 x + 5
B) y = - 2/3 x - 7
C) y = 2/3 x - 7
D) y = 2/3 x - 5

Step-by-step explanation:

The length of the textbook, l = 48.28 cm

The breadth of the textbook, b = 24.83 cm

The shape of the textbook is a rectangle. The perimeter is equal to the sum of all sides. Mathematically, it is given by :

[tex]p=2(l+b)[/tex]

[tex]p=2\times (48.28+24.83)[/tex]

p = 146.22 cm

So, the perimeter of the textbook is 146.22 cm. There are 5 significant figures in this number since non zero digits are always significant. Hence, this is the required solution.

Answer: on d. it's, you

weren;t given enough information

Step-by-step explanation:

ur welcome.

it would become 11 - 18 which would equal -7

Final answer:

To find the perimeter of the catalog page, we add the length and width and multiply by 2, resulting in 6.2 meters. For the area, we multiply the length by the width, resulting in 2.28 square meters.

Explanation:

The question asks for the perimeter and area of a page from a fashion catalog with dimensions of 1.2 meters by 1.9 meters. To calculate the perimeter of a rectangle, the formula is 2(length + width), and to calculate the area, the formula is length × width.

For the perimeter:
2(1.2m + 1.9m) = 2(3.1m) = 6.2 meters.

For the area:
1.2m × 1.9m = 2.28 square meters.

Answer:  

Talia swims about 1.5 miles per hour faster than Alina.

Step-by-step explanation:

Since, 1 miles = 1609 meter and 1 hour = 60 seconds,

⇒ [tex]\text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}[/tex]

⇒ [tex]\text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}[/tex]

Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600

[tex]=\frac{4022.5}{3600} \text{ meter per seconds }[/tex]

[tex]=1.11736111\text{ meter per seconds}[/tex]

And, the speed of Talia = 1.8 meter per second,

Since 1.8  > 1.11736111

⇒ Talia swims faster than Alina.

And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds

= 0.68263889× 3600/1609 miles per hour

= 1.52734618 miles per hour ≈ 1.5 miles per hour ,

⇒ Fourth option is correct.

Answer:

1-287

2- x^4 + 2

3 -6

4 16

Step-by-step explanation:

Answer:

1) is 95   G(6) = 3(6) ^2 - 2(6) - 1

2) is F(x²) = x⁴ + 2

3)is -4      f(-1)=-1^2+3(-1)-2

4) is 16    F(3) = (3) 2 + 3(3) - 2

Step-by-step explanation:

2) F(x) = x 2 + 2

F(x2) =        F(x^2) = (x^2)^ 2 + 2x^4+2

=    f(x^2)=x^4+2

Final answer:

The equation for the plane that is perpendicular to the vector v = (1, 1, 1) and passes through the point (1, 0, 0) is x + y + z = 1.

Explanation:

To find an equation for the plane that is perpendicular to the vector v = (1, 1, 1) and passes through the point (1, 0, 0), we need to use the normal vector v as the coefficient of the variables in the plane equation.

Step 1: The vector v is perpendicular to the plane, so its components are the coefficients of x, y, and z in the plane equation. Since v has components (1, 1, 1), the plane equation can be written as x - y - z = D, where D is a constant.

Step 2: The plane passes through the point (1, 0, 0). Substituting these coordinates into the plane equation allows us to find D.

Substituting, we get 1(1) + 1(0) + 1(0) = D. Hence, D = 1. Therefore, the equation of the plane is x + y + z = 1.

Final answer:

Sally and Steve will take approximately 3.21 hours to paint a room together. This is calculated by adding their individual rates of painting and then finding the reciprocal of their combined rate.

Explanation:

To determine how long it would take Sally and Steve to paint a room together, we need to calculate their combined work rate. Sally's rate of painting is 1 room per 5 hours, while Steve's rate is 1 room per 9 hours. Their combined rate is the sum of their individual rates. This can be expressed as:

Combined rate = Sally's rate + Steve's rate = (1 room / 5 hours) + (1 room / 9 hours)

The least common multiple (LCM) of 5 and 9 is 45, so to add these rates together, we convert them into a common denominator:

Combined rate = (9 rooms / 45 hours) + (5 rooms / 45 hours) = (9+5) rooms / 45 hours = 14 rooms / 45 hours

To find out how long it takes them to paint one room together, we take the reciprocal of their combined rate:

Time to paint one room = 1 / (Combined rate) = 45 hours / 14 rooms

Therefore, rounding to two decimal places, Sally and Steve would take approximately 3.21 hours to paint the room together.

The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation. Correlation refers to a statistical relationship between two variables, where as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship.

The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation.

Correlation refers to a statistical relationship between two variables. In this case, as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship, where one variable directly causes the change in the other.

For example, if the battery is fully charged, you may be able to talk on the phone for several hours. However, as the battery charge decreases, your talk time will gradually decrease until the battery is completely drained and you can no longer use the phone.

The number of minutes you can talk on a cell phone decreases as the battery charge decreases due to a causation relationship.

The correct answer is causation. This is because there is a direct cause-and-effect relationship between the phone's battery charge and the number of minutes you can talk on the phone. As the battery charge decreases, it limits the phone's ability to function, thereby reducing the available talk time.

For example, if your phone starts with 100% battery and allows for 240 minutes of talk time, a drop to 50% battery might only allow for 120 minutes of talk time as the battery depletes. This reduction in talk time is a direct result of the decreasing battery charge, illustrating a causal relationship.

It's important to differentiate this from correlation or association, which would imply a relationship without direct causation. Here, the reduction in battery charge directly causes the reduction in talk time, proving it to be a cause-and-effect relationship.

From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.

 We are also given that angle BAC and angle DAC are equal.

If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC

Correct answer: fourth option

density = mass/ volume

volume = mass/ density

volume = 5625 / 15 = 375 cm^3

volume = l x w x h

375 = 5 * 3 * X

375 = 15

x = 375/15 = 25

height = 25 cm

The height of the object is 25 cm and this can be determined by using the formula of density and volume.

Given :

The height of the object can be determined by using the formula of density. The formula of density is given by:

[tex]\rm d = \dfrac{m}{V}[/tex]

where d is the density, m is the mass, and V is the volume.

Now, substitute the known terms in the above formula.

[tex]\rm V = \dfrac{5625}{15}= 375\;cm^3[/tex]

Now, the volume of an object is given by:

[tex]\rm V = l \times w\times b[/tex]

Now, substitute the known terms in the above formula.

375 = 5 [tex]\times[/tex] 3 [tex]\times[/tex] h

h = 25 cm

For more information, refer to the link given below:

https://brainly.com/question/6034174

The number of votes received by winner is: 1168

Let the number of vote that is received by winning candidate be: a

and the number of votes received by other candidate be: b

It is given that:

Two candidates running for the same office received a total of 1,926 votes.    

i.e.

         [tex]a+b=1926--------------(1)[/tex]

and

The winning candidate had 410 more votes than the other candidate.

This means that:

          [tex]a-b=410--------------(2)[/tex]

Now on solving the equation by the method of elimination .

i.e.  on adding both the equation we have:

[tex]2a=1926+410\\\\i.e.\\\\2a=2336\\\\i.e.\\\\a=1168[/tex]

Now on putting the value of a in equation (1) we get:

[tex]1168+b=1926\\\\i.e.\\\\b=1926-1168\\\\i.e.\\\\b=758[/tex]

         Hence, the answer is:  1168

I hope that helps!

Median will be 18, Range will be 15 to 21, 25th percentile will be 15 to 17, 75th percentile 15 to 20, and Inter-quartile Range will be 17 to 20.

Solid lines on either outside of the rectangle represent the minimum and maximum interquartile range.

Based on the box-and-whisker plot shown below.

1) Median will be 18.

2) Range will be 15 to 21.

3) 25th percentile will be 15 to 17.

4) 75th percentile 15 to 20.

5) Inter-quartile Range will be 17 to 20.

More about the box-and-whisker plot link is given below.

https://brainly.com/question/11859288

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