Find the quotient for -12 ÷ (-3).
a. -9
b. 4
c. -4

According to the given statement the absolute value of just about any complex number Ia + biI seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).

After dividing one number by another, the modulo operation yields the remainder or signed remainder of the division. A modulo n seems to be the remainder of something like the Euclidean division on a by n, where an is the dividend and n is the divisor, given two positive numbers a and n.

The modulus operator can be used in a variety of situations. It is frequently used to decrease a randomly generated number to a randomly generated number in a smaller range, and it may also rapidly tell you if one integer is a factor of another.

The modulus of any complex number is its absolute value, regarding which there is a modulus formula. √(a² + b²).

where a and b are integers

Please see the attached file for the complex plane of the provided points (a,b) (0,0).

The separation of two points (x1 ,y1) and (x2 ,y2) will be:

√((x1 - y1)² + (x2 - y2)²)

We need to calculate the distance between (a,b) because (0,0)

We will obtain by replacing the numbers in the distance formula.

√((0 - a)² + (0 - b)²).

The given statement the absolute value of just about any complex number a + bi seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).

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I understand that the question you are looking for is:

now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane.

Answer: distance , positive real on edge

Step-by-step explanation:

For the given rectangle, having perimeter = 72, the length of the rectangle will be 12 cm and breadth will be 24 cm

The overall length of the outline determines a shape's perimeter in two dimensions. We sum the lengths of all four corners of a rectangle to determine its perimeter.

Since the opposing sides of a rectangle are always equal, we must determine the length and breadth of the rectangle in order to determine its perimeter. The rectangle's perimeter may be expressed as the product of its length and breadth times two. As a linear measurement, the perimeter can be expressed in meters, centimeters, inches, feet, etc.

Given,

perimeter = 72

let us assume length = x

The breadth will thus be = 2x.

Now that these numbers have been plugged in, we may solve the equation for x.

perimeter of rectangle = 2 (L + B)

72 = 2 (x + 2x)

72 = 2 (3x)

72 = 6x

x = 72/6

x = 12

2x = 24

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(a) The amount in the account at the end of 1 year is $3330

(b) The amount in the account at the end of 2 year is $3696.3

It is given that Deon deposit $3000 that pays 11% interest compounded each year .

(a) Putting P = $3000, R =  11%  , T = 1 year in equation (1) , we get

           [tex]A=3000(1+\frac{11}{100} )^1\\\\A=3000(1+0.11)\\A=3000(1.11)\\A=3330[/tex]

(b) Putting P = $3000, R =  11%  , T = 2 year in equation (1) , we get

       [tex]A=3000(1+\frac{11}{100} )^2\\\\A=3000(1+0.11)^2\\A=3000(1.11)^2\\A=3000\times1.23\\A=3696.3[/tex]

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The constant of proportionality is 5/3.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to by the terms constant ratio, constant rate, unit rate, constant variation, or even change rate.

Let the constant of proportionality is k.

Harry buys 3 granola bars for $ 5. So, we can write it as

3 × k = 5

k = 5/3

To Check:

Sidney buys 9 granola bars for $ 15, we can write it as

9 × k = 15

Put k= 5/3 in the equation

9 × 5/3 = 15

3 × 5 = 15

15 =15

The Left and right-hand sides are equal. Hence, the constant of proportionality is k=5/3.

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Answer:

Step-by-step explanation:

A(2,6); B(10,8)

whats the midpoint of the segment?

Answer:

3.71

Step-by-step explanation:

AC² + BC² = AB²

3² + 6² = AB²

9 + 36 = AB²

AB = √45

AB = 3√5

AB = AD + BD

3√5 = 3 + BD

BD = 3√5 - 3

BD = 3.71

A fundamental distinction between trend projection and linear regression is that: in trend projection the independent variable is time; in linear regression, the independent variable need not be time.

We need to find the fundamental distinction between trend projection and linear regression.

The trend projection method is based on the assumption that the factors liable for the past trends in the variables to be projected shall continue to play their role in the future in the same manner and to the same extent as they did in the past while determining the magnitude and direction of the variable.

Linear regression: Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

A fundamental distinction between trend projection and linear regression is that in trend projection the independent variable is time; in linear regression, the independent variable need not be time but can be any variable with explanatory power.

Therefore, a fundamental distinction between trend projection and linear regression is that: in trend projection the independent variable is time; in linear regression, the independent variable need not be time.

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Answer:

-1/3

Step-by-step explanation:

The measure of angle 2 from the given figure is an acute angle.

Given that, when you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.

Refraction is the "bending" of light (or any electromagnetic wave) when entering a different medium.

In the given figure, the three angles, are angle 1, angle 2 and angle 3.

Angle 1 and 2 are formed with the surface of the water. Angle 1 in the medium air and angle 2 is in the medium water.

From the figure, given below we can see that angle 2 is less than 90° and greater than 0°.

Therefore, the measure of angle 2 from the given figure is an acute angle.

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The graph that depicts the graphical representation of the function F(x) is attached below

This is further explained below.

Generally, The collection of ordered pairings where "f(x)=y" exists is the network of a function f.

These pairs are Centroid of locations in two-dimensional space and so constitute a subset of this plane in the typical situation when x and f(x) are real integers.

In conclusion, is a collection of discrete or continuous points that together form a curve or surface and each of which corresponds to a certain function's value. also known as a linear graph.

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Answer:

s = (-23/65)

Step-by-step explanation:

  7            -2

------   =   -------

(s + 8)     (9s + 1)

  7 (9s + 1)            -2 (s + 8)

------                =          -------

(s + 8) (9s + 1)     (9s + 1) (s + 8)

  7 (9s + 1)               -2 (s + 8)

(------------------   =   ---------------------) ((9s + 1) (s + 8))

(s + 8) (9s + 1)        (9s + 1) (s + 8)

7 (9s + 1) = -2 (s + 8)

63s + 7 = -2s - 16

+2s           +2s    

65s + 7 = -16

       -7      -7

65s = -23

÷65s   ÷65s

s = (-23/65)

The triangle with the given vertices (-1, -1), (2, 3), and (-4, 3) is not an equilateral triangle.

An equilateral triangle can be defined as a special type of triangle that has equal side lengths and all of its three (3) interior angles are equal.

In order to determine whether the triangle with the given vertices is an equilateral triangle, we would apply the distance formula to calculate the length of each side of this triangle as follows:

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

For the vertices (-1, -1) and (2, 3), we have;

A = √[(2 - (-1))² + (3 - (-1))²]

A = √[(2 + 1)² + (3 + 1)²]

A = √[3² + 4²]

A = √[9 + 16]

A = √25

A = 5 units.

For the vertices (2, 3) and (-4, 3), we have;

B = √[(-4 - 2)² + (3 - 3)²]

B = √[-6² + 0²]

B = √[36 + 0]

B = √36

B = 6 units.

For the vertices (-1, -1) and (-4, 3), we have;

C = √[(-4 - (-1))² + (3 - (-1))²]

C = √[(-4 + 1)² + (3 + 1)²]

C = √[-3² + 4²]

C = √[9 + 16]

C = √25

C = 5 units.

Therefore, the triangle with the given vertices is not an equilateral triangle because C = A ≠ B.

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Complete Question:

An equilateral triangle has sides of equal length. Determine whether the triangle with vertices (-1, -1), (2, 3), (-4, 3) is equilateral.

Answer:

your answer is 54%

Answer: 54,000,000

Step-by-step explanation: hope this helps

Answer:

42

Step-by-step explanation:

L*W= Area

7*6=42

Hope this helps! :)

The number of pizzas you must order for the price to be the same is 5

Bob's Pizza charges = $12 for each supreme pizza

This can be represented as

y = 12x

For Mike's Pizzeria, we have

y = 8x + 20

Substitute y = 12x in y = 8x + 20

12x = 8x + 20

Evaluate the like terms

4x = 20

Divide by 4

x = 5

Hence, the number of pizzas you must order for the price to be the same is 5

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The answer is 23200.

By using BODMAS , we will first simplify the bracket term.

The bracket term is [tex](3\times10-1)[/tex]

After , bracket we will operate the multiplication term which is given by

     [tex]30-1[/tex]

Now , we will use the subtraction operation .

   [tex]29[/tex]

On solving the bracket , we get 29 .

Now we will multiply 800 by 29 ,we get

[tex]800\times29=23200[/tex]

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The complete question is mention below :

  Solve  [tex]800(3\times10-1)[/tex]

========================================

Explanation:

[tex]a_1[/tex] = -10 is the first term

d = 17 is the common difference. We add this amount to each term to get the next one. Eg: -10+17 = 7

We want to find the 66th term, so we'll use n = 66

Plug these values into the nth term arithmetic sequence formula below.

[tex]a_n = a_1 + d(n-1)\\\\a_{66} = -10 + 17(66-1)\\\\a_{66} = 1095\\\\[/tex]

The 66th term is 1095

Answer:

The answer is 1095.

66th term = 1095

Step-by-step explanation:

an = a1 + (n − 1)d

= -10 + (66 - 1) (17)

I did it on calculator.

It equals to = 1095

Answer:

I believe that the value of the exprexpression is 80.

Step-by-step explanation:

Substitute 7 for every y variable.

y^2 + 4y + 3=

7^2 + 4(7) + 3=

49 + 28 + 3=

80

The values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7 and there are four values of x that solve the equation g(x) = 2

The graph represents the given parameter

(a) Evaluate g (-2), g(0), g (3) and g (7)

To do this, we take the function value at the given value of x

The function g(-2) means

x = -2

So, we have

When x = -2, g(x) = -3

This means that g(-2) = -3

The function g(0) means

x = 0

So, we have

When x = 0, g(x) = -3

This means that g(0) = -3

The function g(3) means

x = 3

So, we have

When x = 3, g(x) = 4

This means that g(3) = 3

The function g(7) means

x = 7

So, we have

When x = 7, g(x) = 0

This means that g(7) = 0

On the graph, we have the following values of x at g(x) = 0

x = -3, 1, 5 and 7

Hence, the values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7

See attachment

Using the line in (c), the line crosses the curve four times at y = 2

Hence, there are four values of x that solve the equation g(x) = 2

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Answer: x = -[tex]\sqrt[3]{2}[/tex]

Step-by-step explanation: sorry if i am wrong

In a study, the data you collect is number of walk buttons that work in New York city, which is discrete type of data.

We know that,

The data which is in numeric form is called Quantitative data.

Example: Weight, Marks, etc.

The data which we can't count is known as Qualitative data.

Example: Smoking, Non- Smoking, etc.

Quantitative data can be divided into two parts:

- Continuous

- Discrete

The data which we can count is known as the Discrete data . It includes the natural numbers only.

Example: Number of apples, Number of senior citizens in a particular area, etc.

The data which we can't count is known as Continuous data . Example: Height, Weight, etc.

In this question,  the data you collect is number of walk buttons that work in New York city. This is discrete type of date.

Therefore,  in a study, the data you collect is number of walk buttons that work in New York city, which is discrete type of data.

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SOlution : Domain of (bºa)(x) = [4, ∞]

The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range.

The domain (in its usual established mathematical sense) of a probability density function (and therefore also its distribution function) is available with the undocumented Wolfram Language command DistributionDomain[dist].

The meaning of "domain" in topology is a connected open set.

Another meaning of "domain" is what is more properly known as an integral domain, i.e., a ring that is commutative under multiplication, has an identity element, and no divisors of 0.

In the algebra of the function that is (f ± g)(x), (fg)(x) and (f/g)(x) the domain of the function will be an intersection of the domain of the functions f and g

Here the domain of the product of the function is asked thus the required domain will be an intersection of the domain of the function a and b.

Given a(x) = 3x + 1 ⇒ Domain, D1 = R

b(x) = √(x - 4) ⇒ Domain, D2 = [4, ∞]

Now, Domain of (b*a)(x) = Domain b(x) ⋂ Domain a(x)

= D2 ⋂ D1

= [4, ∞] ⋂ R

= [4, ∞]

Domain of (bºa)(x) = [4, ∞]

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Answer:

❌First option (A): there is no way a minus sign will be in the numerator and denominator, If so they would cancel out to be a positive number.

❌second option(B): there is no way a minus sign would stay in the denominator, it always stays in the numerator (even if it's in the denominator you take it up to the numerator).

❌ Fourth option (D): again no way a minus sign stays in the denominator so this option is wrong.

✅ Option (C): The minus sign is in the right place which is the numerator.

you see how I solved this problem without writing on paper or anything like that, sometimes you can find your answers by spotting abnormalities in the options you're given.

Answer:

The answer is 24

Step-by-step explanation:

6×4 =24

We can also further simplify it by everything down.

we could use

(3×4) + (3×4)

12 + 12

=24

and we can do the same for

(6×2) + (6×2)

12 + 12

= 24

Hope this helps!

Answer:

4 · 6 = 24

➲ I hope this helps.

The measure of angle RQT is 63°

From the question, we are to determine the measure of angle RQT.

From the diagram,

We can observe that ∠PQS and ∠SQT form a linear pair

Thus,

∠PQS + ∠SQT = 180°

(4x + 15)° + (10x - 3)° = 180°

First, determine the value of x

4x + 15 + 10x - 3 = 180

4x + 10x = 180 - 15 + 3

14x = 168

x = 168/14

x = 12

In the diagram,

∠RQT and ∠PQS are vertically opposite

From the given information,

∠PQS = (4x + 15)°

∴ ∠RQT = (4x + 15)°

Substitute the value of x

∠RQT = (4(12) + 15)°

∠RQT = (48 + 15)°

∠RQT = 63°

Hence, the measure of angle RQT is 63°

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Answer:

The answer is y = -8

Step-by-step explanation:

You distribute,

1/2 x 2y = y

1/2 x 4 = 2

y+ 2 = -6

(then you subtract 2)

y=-8

If you would like to check, just put -8 into the equation in place of y

So it would look like this: 1/2(2 x -8 + 4) = -6

If it equals -6 then it means your answer is correct

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The value of domain that will pass the vertical line test is ±2√2.

The collection of inputs a function can accept is referred to as the domain of the function in mathematics. [tex]dom(f)[/tex]  is a common way to refer to it, with f standing for the function.

To be more specific, the domain of f is X when the function [tex]f:X--Y[/tex] is specified. The domain of a function is not a characteristic of it, but rather an element of the definition in contemporary mathematical terminology.

The function f can be represented as a graph in the Cartesian coordinate system in the particular case where X and Y are both subsets of. A projection of the function's graph onto the graph's x-axis in this instance serves as the domain's representation.

Explanation:

Finding  the domain,

[tex]x^2+ y^2[/tex] = 8

[tex]\sqrt{x^2} + \sqrt{y^2}[/tex] = √8

x + y = ±2√2

So, the domain is ±2√2.

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She will earn $924 if she works 38.5 hours this week

The function is given as

w(h) = 24h, if h < 40

w(h) = (36(h-40)+960 h> 40

If she works 38.5 hours this week, then

h < 40

So, we use

w(h) = 24h

This gives

w(38.5) = 24 * 38.5

Evaluate

w(38.5) = 924

Hence, she will earn $924 if she works 38.5 hours this week

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