What ordered pair represents the location of Home?


options:


(-2,-4)



(2, 3)



(-2, 3)



(2, -5)

To see the Polar form and Rectangular form of quotient as a complex number.

Polar numbers can be written in two different forms: rectangular and polar. Rectangular complex numbers are given by a + bi, where a represents the real part of the complex number and b represents the imaginary part of the complex number. Polar complex numbers are given by its absolute value,

r = [tex]\sqrt{x^{2} +y^2}[/tex] and the argument, θ, which can then be determined through the following relations:

[tex]z=re^i^\theta[/tex]

If the complex numbers are in polar form, then the quotient is given by:

[tex]\frac{z_1}{z_2}=\frac{r_1e^i^\theta_1}{r_2e^i^\theta_2}[/tex]  [tex]= \frac{r_1}{r_2}e^i^(^\theta_1^-^\theta_2^)[/tex]

If the complex numbers are in rectangular form, then you will have to use the complex conjugate to remove the complex number in the denominator:

[tex]\frac{a_1+b_1i}{a_2+b_2i}[/tex] [tex]=\frac{(a_1+b_1i)(a_2-b_2i)}{(a_2+b_2i)(a_2-b_2i)}[/tex].

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Answer: The option that is NOT a possible way to evaluate the function and find the correct answer is

See what x is when y=-5

Explanation:

In the function f(x) = 3x^2 - 2x + 5, x is the input variable and y is the output variable. To find the value of f(-5), we need to substitute -5 wherever there is an x in the function and then solve the resulting expression. This is the first option.

The second and forth options are also correct ways to evaluate the function, they involve graphing the equation and finding the y-value of the ordered pair when x=-5.

But the third option is not the correct way, because it is asking to find x when y=-5, but in the given function the y is unknown, so it is not possible to find x when y=-5.

Step-by-step explanation:

The solution to the given rational expression is  (x+3)/(x-3). The correct answer would be an option (C).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question, as follows:

(x²+5x+6)/(x²-x-6)

The above expression can be rewritten in the form of factors,

(x+3)(x+2)/(x-3)(x+2)

These are simplified by canceling similar numerator and denominator components, and we get:

(x+3)/(x-3)

This is the solution to the given expression.

Hence, the correct answer would be option (C).

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The question seems incomplete, the complete question would be as:

Which of the following is equal to the rational expression when x ≠ -2 or 3? (x²+5x+6)/(x²-x-6)

A. (x+3)/(x-2)

B. (x+2)/(x-3)

C. (x+3)/(x-3)

D.  (x-3)/(x+3)

To calculate the volume of a triangular prism, you need to know the base area and the height. In this case, the base area is given as 4 cm^2, and the areas of the sides are given as 9 cm^2, 10 cm^2 and 17 cm^2.

To find the volume of the prism, you can use the formula:

Volume = Base Area x Height

Since we don't know the height of the prism, we can use the area of the sides to find the height.

To find the height, we need to use the formula of area of the triangle.

Area = (1/2) x b x h

let's use the area of one side (for example 9cm^2)

9cm^2 = (1/2) x b x h

we can divide both sides by (1/2) x b

h = (2 * 9cm^2) / b

Now we have the height of the triangular prism, so we can use that to find the volume.

so the volume of the triangular prism = Base Area x Height = 4cm^2 x ( (2 * 9cm^2) / b) = 72/b cm^3

As we don't know the value of b, we can't find the exact volume of the prism.

Answer:

12 cm³

Step-by-step explanation:

Conditions:
a * h = 9 cm
b * h = 10 cm
c * h = 17 cm
S = 4 cm²

To calculate the area on three sides, we use the Heron formula:

[tex]S = \sqrt{p * (p-a) *(p-b)*(p-c)[/tex]
where "p" is the semi-perimeter:
[tex]p = \frac{(a+b+c)}{2}[/tex]

Let's express the sides in terms of the height:
a = 9/h
b = 10/h
c = 17/h

Then the semiperimeter will be:
p = (9/h+10/h+17/h) : 2 = 36/h : 2 = 18/h

Substituting the values into the Heron formula:
4 = √(18/h * (18/h - 9/h) * (18/h - 10/h) * (18/h - 17/h))
4² = 18/h * (18/h - 9/h) * (18/h - 10/h) * (18/h - 17/h)
16 = 18/h * 9/h * 8/h * 1/h
16 = 1296 / h^4
h^4 = 1296 / 16 = 81
h = 3 cm

Now we can calculate the volume of the pyramid:
V = S * h = 4 cm² * 3 cm = 12 cm³

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Answer:

c

Step-by-step explanation:

p(yellow)'=1-p(yellow)

p(yellow)'=1-10/25

It's a great question. Believe me, a lot of people have been asking me this.

Let me tell you, we've got 72 oranges in that crate, and we're filling trays with 9 oranges each. It's a big number, trust me.

But let me tell you, we're gonna figure out how many trays we need. We're gonna use some math, it's gonna be huge.

So, we divide 72 by 9 and we get 8. Trust me, it's a big number. 8 trays, that's how many we need.

It's a great number, I promise you. A lot of people are gonna be impressed with that number. It's tremendous, believe me.

Answer: 8

Step-by-step explanation: what is 72/8 ?

Since the we have to equally put it together

The sample space is -

{(6, 6), (5, 6), (6, 5), (4, 6), (5, 5), (6, 4), (3, 6), (4, 5), (5, 4), (6, 3)}

Given is that Nick is paid every other week. He has 390$ taken out of each paycheck for federal taxes.

       {(6, 6), (5, 6), (6, 5), (4, 6), (5, 5), (6, 4), (3, 6), (4, 5), (5, 4), (6, 3)}

Therefore, the sample space is -

{(6, 6), (5, 6), (6, 5), (4, 6), (5, 5), (6, 4), (3, 6), (4, 5), (5, 4), (6, 3)}.

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Answer:

(1, -9)

Step-by-step explanation:

The slope-intercept formula of a line is: y = mx + b

m = slope

b = y-intercept

We know one point already.

3 = 3(5) + b

3 = 15 + b

3 - 15 = 15 - 15 + b

-12 = b

So now we know the formula: y = 3x - 12

We can plug in 1 as x to find another point

y = 3(1) - 12

y = 3 - 12

y = -9

Range of x is a way of expressing the set of all possible values for a given variable x.

In order to solve for the range of x, we first need to identify the equation or expression that relates x to other variables. Once we have the equation, we can then solve for the range of x by determining the minimum and maximum possible values for the variable.

For example, if we have the equation x = 3y + 6, we can solve for the range of x by first setting y equal to its minimum and maximum possible values. If we assume y can take values between 0 and 10, then we can solve for the range of x by setting y equal to its minimum (0) and maximum (10) values, respectively.

As we can see in this instance, the x is 6 = x = 36.

In general, to solve for the range of x we need to:

1. Identify the equation or expression that relates x to other variables.

2. Set the other variables to their minimum and maximum possible values.

3. Solve for the minimum and maximum possible values for x.

4. The range of x is the set of all values between the minimum and maximum possible values for x.

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Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width

"simplified" means that we calculate everything "away" we can calculate and end up with the minimum of an expression around the variable (in our case p).

18p⁴ - 4p = 2×(6p⁴ - p) + 2×width

the first simplification is that we can divide everything by 2

9p⁴ - 2p = 6p⁴ - p + width

3p⁴ - 2p = -p + width

3p⁴ - p = width

As a result, there is just one transformation from shape A to shape B: dilate A by 1/2, followed by a 180 degree rotation.

A drastic change in shape or appearance is called a transformation. An crucial occasion, such as receiving your driver's licence, enrolling in college, or getting married, might change the course of your life. Extreme, dramatic change is what we refer to as transformation.

When we move a figure in any direction, we say that we are translating. Flipping a figure over a line is what is meant by reflection. Rotation is the process of rotating a figure around a point by a specific amount. When we dilate a figure, it is enlarged or shrunk.

By multiplying the original shape by a scale factor, we can change the size of the shape and make it bigger or smaller. This type of modification is called an expansion.

A shape can be transformed by shifting its location and size.

Shape A can only be transformed into shape B by rotating 180 degrees and enlarging it by half.

Based on the figure, we can:

Shape A's side lengths are twice as long as Shape B's side lengths.

After dilatation, shape A can be rotated 180 degrees to imprint onto shape B.

The range of dilatation from shape A to shape B is thus:

Scale = 1/2

As a result, there is just one transformation from shape A to shape B: dilate A by 1/2, followed by a 180 degree rotation.

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Answer:

Step-by-step explanation:

i don't know

do not bother answering with these answers I have already checked none of them have the correct answer

bye children

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Yes ASA

angle and side are already given by red marking it is also vertically opposite angles.

Therefore, if the borrower had paid the loan just at the end of the second year, he would have owed R 167250. The additional interest due would be R 167250 - 150000 = R 17250.

a) To calculate the amount of money that the person would have to pay at the end of the second year to clear his debt, you can use the formula for compound interest:l,

A = P(1 + r/n)^(nt)

Where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the person took a loan of R 150000 for 2 years at an annual interest rate of 10%. He paid R 85000 at the end of the first year. So, the new principal at the beginning of the second year is P = 150000 - 85000 = 65000.

So, A = P(1 + r/n)^(nt)

A = 65000(1 + 0.1)^2

A = 65000*1.1^2

A = 73,650

So, the person should have to pay R 73650 at the end of the second year to clear his debt.

b) If the person had paid the loan only at the end of the second year, the interest would have been calculated on the original principal of R 150000 for 2 years. So,

A = P(1 + r/n)^(nt)

A = 150000(1 + 0.1)^2

A = 150000*1.1^2

A = 167250

So, the person would have had to pay R 167250 if he had paid the loan only at the end of the second year. Therefore, he would have to pay more interest of R 167250 - 150000 = R 17250.

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Answer:$917.59

Step-by-step explanation:

The formula for compound interest is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the initial deposit is $500, the annual interest rate is 4%, the number of times compounded per year is 12 (monthly), and the number of years is 12.

So, we can plug in the values into the formula:

A = $500(1 + 0.04/12)^(12*12) = $500(1.003333333)^(144) = $500(1.835170816) = $917.585

The final amount in her account after 12 years is $917.58

To round to the nearest cent, we can use the following method:

If the digit in the thousandths place is less than 5, we keep the hundredths digit as is.

If the digit in the thousandths place is greater than 5, we round up the hundredths digit.

In this case the digit in the thousandths is 5 so, we have to round up the hundredths digit of $917.58.

The y-intercept of the equation y = -4x-6 is (0, -6).

Equation: y = -4x - 6

The y intercept of a graph is the point where the graph intersects the y-axis. We know that the x-coordinate of any point on the y-axis is 0. So the x-coordinate of a y-intercept is 0.

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is

y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Find the values of m and b, using the slope-intercept equation.

Now, using this information,

y = −4x − 6

y = mx + c

m → slope

the slope is −4 and

y−intercept would be (0,−6).

Thus, the y-intercept is (0, -6).

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A 360-degree angle can be visualized as a full rotation or circle, and it is often used to measure angles in a circular context.

A 360-degree angle is a complete rotation and is equivalent to one full circle. It is often represented as a circle with a line that goes from the center of the circle to the outer edge, marking the angle.

When looking at a 360-degree angle, it can be divided into four quadrants: the top right, top left, bottom left, and bottom right. Each quadrant is 90 degrees or one-fourth of the total angle. This division is useful when analyzing or measuring angles in different sections of a circle.

In terms of visual representation, imagine a clock face with the numbers 1-12. The clock face is a 360-degree angle, with each number representing a 30 degree increment. The hour hand of the clock would rotate around the face, completing a full rotation and reaching the starting point at the 12 o'clock position, completing a 360 degree angle.

In other words, a 360 degree angle can be visualized as a full rotation or circle, and it is often used to measure angles in a circular context. It can also be divided into smaller sections for analysis or measurement purposes.

Therefore, A 360 degree angle can be visualized as a full rotation or circle, and it is often used to measure angles in a circular context.

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Yes. 144 is a perfect square. It is a perfect square of 12. The integer that can be expressed as the square of another integer is called as a perfect square.

A number is said to be a perfect square if its square root is an integer. It  means that a perfect square is an integer's product with itself. It is also defined as the second exponent of an integer. A number squaring a whole number is a perfect square. A perfect square can be determined by the prime factorization method. Prime factorization is defined as the  process of writing all numbers as a product of prime. Through prime factorization we can determine the square root. Every integer has its prime factorization.

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Since, 3 ¼ = ¾. So,  Â¾ is equivalent to 3 ¼. Since ¾ is written as 0.75 in fractional notation.

The fraction ¾, which is equivalent to 0.75, is shown by the fractional notation "â...". The bottom number, or denominator, must be multiplied by the top number in order to comprehend this fraction (top number). 4 times 3 in this instance equals 12, which is true. Find the fractional value by first dividing the numerator by the denominator. In this case, the result of 3 divided by 4 is 0.75, or 3/4.

To calculate a fractional value, use the following formula:

Fractional Value: Numerator / Denominator:

The numerator is multiplied by the denominator to arrive at 12 when calculating the fractional value of 3/4. Following that, the fractional value is obtained by dividing the numerator by the denominator:

Fractional value equals 3 / 4 = 0.75

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A maganitude 7.0 earthquake is hundred times stronger than magnitude 5.0 earthquake.

Richter's Magnitude Scale: Seismologists often use the Richter scale (developed by Charles Richter) when measuring the magnitude of earthquakes. There are many factors to consider, such as B. Amplitude for calculating this type of scale. An increment of magnitude 1 means that the actual size of the earthquake is multiplied by 10 (logarithmic signature). Let A (earthquake magnitude) be 7 and B (earthquake magnitude) be 4. Calculating how many time the A is approximately stronger than B:

=> 10ᴬ⁻ᴮ = 10⁷⁻⁵ = 10² = 100

The magnitude 7 earthquake is 100 times as strong as the magnitude 5 earthquake..

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Answer: 1) 1,500     2) 36     3) 15     4) 8,400

Step-by-step explanation: Hope it helps!

Answer:

recipe A

Step-by-step explanation:

I think it's recipe A cause it contain 3 cups of strawberries and there is lots of sugar so. A lot of sugar makes the recipe flavourful

in my opinion it might be that

There are 5 positive pair factors of 36 (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).

Positive pair factors are factors that increase the likelihood of a successful relationship between two people. These factors include communication, trust, respect, understanding, appreciation, commitment, shared values, and mutual support. Communication is essential for a strong relationship. It allows two people to express themselves and share their thoughts, feelings, and experiences. Trust is another important factor in a positive relationship. It is important, to be honest, and open with one another and to feel secure that your partner is trustworthy. Respect is also important and involves treating each other with kindness and respect.  

Understanding is another important factor in a positive relationship, as it allows two people to understand each other’s perspectives and feelings. Appreciation is also important and involves recognizing the other person’s efforts, successes, and achievements. Commitment is another important factor, as it shows that both people are dedicated and committed to the relationship. Shared values are also important, as it allows two people to have shared goals, beliefs, and desires. Finally, mutual support is an essential factor in a positive relationship, as it allows two people to provide each other with emotional and practical support.

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The scale factor used in the scale drawing which has the scale of 6 centimeters = 7 meters is 116.667

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

For the scale drawing with a scale of scale of 6 centimeters = 7 meters

the units are converted to be same, using the conversion unit of

100 cm = 1 m

x cm  = 7 meters'

solving for x

x = 700 cm

hence the scale of the drawing is 6 cm = 700 cm, we solve for the scale factor

6 cm = 700 cm

1 cm = scale factor

solving for the scale factor

scale factor = 700 / 6

= 350 / 3

the factor is 116.667

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Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

The type of sampling design like this is is a stratified random sampling design.

This is a stratified random sampling design. The population is divided into two strata, one for female applicants and one for male applicants, and a random sample is selected from each stratum.

Stratified random sampling is a method of sampling that involves dividing the population into smaller groups or strata based on certain characteristics, and then randomly selecting a sample from each stratum. In this case, the population of applicants is divided into two strata: female applicants and male applicants.

A random sample of 15% of the female applicants who were not hired and 15% of the male applicants who were not hired are then selected and compared with the records of the recent hires. This allows for a more representative sample of the population as it ensures that both genders are represented in the sample, and also allows for a comparison of the hiring process between the two groups.

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The weight of the original sample is [tex]8.8 *10^{-6}[/tex] grams/batch * 1010 batches is 880 grams.

To find the weight of the original sample, we can multiply the weight of each batch by the number of batches.

The weight of each batch is [tex]8.8 * 10^-6[/tex] grams.

And the total number of batches is 1010.

So, the weight of the original sample is:

[tex]8.8 * 10^{-6}[/tex] grams/batch * 1010 batches = 8.8 x 10^-6 * 1010 grams

= [tex]8.8 * 10^{-6} * 10^3 *10^1[/tex]grams

=[tex]8.8 * 10^{-3} * 10^1[/tex] grams

= [tex]8.8 * 10^{-2}[/tex] grams

= [tex]8.8 * 10^{-2} * 10^3[/tex]

=[tex]8.8 * 10^1[/tex] = 880 grams

So the original sample weighed 880 grams.

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Answer:

B. 0.4

Step-by-step explanation:

Probability (picking red paper) = preferred/sample

Preferred outcome (picking red) = 8 pieces.

Sample size is total outcome (paper in hat) = 20 pieces.

P(picking red paper) = 8/20

P(red) = 0.4 or 40%

Hope this helped :)

Distance Driven is the IV