Arrange the complex numbers in order according to the quadrant in which they appear, starting with the first quadrant.
1. 3 − 4i
2. -1 − 3i
3. 4 + i
4. -2 + 2i

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

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

Answer: $32

Step-by-step explanation:

add 7+9+12+4 =32

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:

D

Step-by-step

The answer is the square root of 288

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

I hope that helps!

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

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.

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.

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:

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.