Select the correct answer. which expression is equivalent to this quotient?

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{13}-\underset{x_1}{1}}} \implies \cfrac{ -4 }{ 12 } \implies {\Large \begin{array}{llll} - \cfrac{1 }{ 3 } \end{array}}[/tex]

If and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f has an inverse (passes the vertical line test).

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The function f has an inverse if and only if the result of reflecting a function's graph about the line y = x is the function's graph (passes the vertical line test).

Therefore, if and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f has an inverse (passes the vertical line test).

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Each of the cuboidal blocks B and D has a volume of 24 cubic units. As a result, choice D is the right response.

What is the formula to find the volume of a cuboidal block?

The formula to find the volume of a cuboidal block is l×b×h.

The dimensions of cuboidal block A are length=6 units, breadth=2 units and height=1 units

Now, the volume of a cuboidal block A=6×2×1=12 cubic units.

The dimensions of cuboidal block B are length=4 units, breadth=2 units and height=3 units

Now, the volume of a cuboidal block B=4×2×3=24 cubic units.

The dimensions of cuboidal block C are length=5 units, breadth=3 units and height=3 units

Now, the volume of a cuboidal block C=5×3×3=45 cubic units.

The dimensions of cuboidal block D are length=6 units, breadth=2 units and height=2 units

Now, the volume of a cuboidal block D=6×2×2=24 cubic units.

The volume of cuboidal blocks B and D is 24 cubic units each. Therefore, option D is the correct answer.

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O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

A disparity is presented to us.

[tex]y+4\leq 0[/tex]

The answer to the inequality must be discovered.

For each side of the inequality, deduct 4

y +4 - 4 ≤ 0 - 4

y ≤ -4

y ∈ ( - ∞ , - 4 ]

As a result, the solution set for the given inequality is provided by y (- , - 4].

O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

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Exponential equation in the form y = a(b)* that can model the value of the pizza oven, y, x years after purchase is y = 16000(0.985625)ˣ.

The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour. After x hours, you will have twice as much germs if you start with one and it doubles every hour. F(x) = 2x can be used to express this.

The exponential equation is y = a(b)ˣ

The value of y = 15770, a = 16000 and x = 1

b = 0.985625

y = 16000(0.985625)ˣ

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Answer:

can yall look at my post

Step-by-step explanation:

Answer:

2 apples will be left for Sally

f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

We note that x=7 is on 1<x< 9 so we use the second piece. Replace x with 7 and

evaluate to find f(7):

f(7)=2(7)

f(7)=14

so f( 7 ) = 14

f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.

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The value of x is 9.32 after solving using the Pythagoras theorem.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

The diagram has 4 corners namely - A, B, C and D.

Draw a perpendicular through B.

The intersecting point at line AD is named as E.

It can be seen in figure that EDCB is a rectangle and falls under the category of parallelogram.

So, angle ADC = angle DEB = angle AEB = 90° .

Now, side BC = ED = 5.

So, side AE = 18 - 5 = 13.

Here, it can be seen that triangle ABE is a right-angled triangle.

So, to get the measurement of side BE, apply the Pythagoras theorem -

c^2 = a^2 + b^2

Where, a is perpendicular, b is base and c is hypotenuse.

So, according to the diagram -

(16)^2 = (13)^2 - (BE)^2

(BE)^2 = (16)^2 - (13)^2

(BE)^2 = 256 - 169

(BE)^2 = [tex]\sqrt{87}[/tex]

(BE)^2 = 9.32

Now, as  EDCB is a rectangle so, side BE = side CD.

Therefore, the value for side CD = x = 9.32.

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Answer:

Use Pythagorean:

The __main__ is a constructor used in python which can be used to check the name of the top-level environment of the program.

It is contained inside the  __ main __ PY file package.

Example,  __name__ == '__main__' expression.

Python is a programming language which is high level in nature and is mainly used in the field of data science and artificial intelligence . Python is dynamically-typed and garbage-collected. It has a large community of developer and is an upcoming language.

It is easy to learn and evolving language and has a lot of packages and modules which makes it easy to work on it.

It is an interpreted language and a python file is saved using the extension .py .

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Answer:

14.46ft

Step-by-step explanation:

this would be solved using Pythagoras

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

15^2 - 4^2

225 - 16 = 209

the square root = 14.46

Answer:

O (3 + 1)(2(3) -7)

Step-by-step explanation:

hope it helps you

Answer:

its A

Step-by-step explanation:

on EDG 2021-2022

The required weight of the dollar amount of Stock C is $64.96.

The Correct option is (B).

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

Given:

Investment Amount Invested ROR

Stock A     $1,800     1.5%

Stock B     $4,600     3.7%

Stock C     $580        11.2%

Stock D     $1,122      −2.8%

According to the question,

Weight of dollar amount of Stock C

= 580 × 11.2%

= 580 x 0.112

= $64.96

Hence, the required weight is $64.96.

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A. The amplitude of the sinusoidal function 's' would increase.

B. The midline of the sinusoidal curve will upshift.

A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.

We are aware that a periodic function can be used to graph the pendulum's movement mechanism.

A. The pendulum will rise higher on both sides as it is drawn farther away from its resting point; this will result in an increase in the sinusoidal curve's amplitude.

B. The midline of the sinusoidal curve would rise up along the y direction as a result of an increase in magnitude if the pendulum was drawn further away from its resting point.

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Answer:

(-8^3)^2

=-8^2*3

=-8^6

=1/8^6

=1/262144

Step-by-step explanation:

Answer:

262144

Step-by-step explanation:

Answer:

5% of 120 is 6, so you would add that 6 to 120.

120 + 6 = 126.

The total cost will sales tax would be $126.00.

Step-by-step explanation:

Hope it helps! =D

When two lines intersect the vertically opposite angles so formed are equal in measure.

When two lines intersect each other, then the opposite angles, created due to the intersection are called vertical angles or vertically opposite angles.

We can see in the figure two lines intersect each other at a point. Therefore the two pairs of vertically opposite angles are ∠1 and ∠3, ∠2 and ∠4.

From the figure, ∠1 + ∠2 = 180°  [Linear pair]     eqn(1)

∠2 + ∠3 = 180°  [Linear pair]   eqn(2)

From eqn(1) and eqn(2), we get

∠1 + ∠2 = ∠2 + ∠3

∴ ∠1 = ∠3

Similarly, we can prove ∠2 = ∠4 also.

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Answer:

Step-by-step explanation:

f(x)= 32(0.5)^x

f(5)= 32(0.5)^5

f(5) = 1

Answer:

Below.

Step-by-step explanation:

So lets go over what we know of the first question.

Jacob took 2/6th of a pound of candy.

Louis ate 7/9th of a pound of candy.

We need to find who ate more candy.

We need to find how much more candy one person ate.

To find this information, lets get a common denominator for both fractions.

Both 6 and 9 in 2/6 and 7/9 go into 18, so:

2/18 and 7/18

Now we need to fix the numerator.

To do this, we must see how many times 6 and 9 go into 18, and then multiply the numerator by that.

So:

6 goes into 18 3 times. 3x2 is 6. So our first fraction is 6/18ths.

9 goes into 18 2 times. 7x2 is 14. So our second fraction is 14/18ths.

Now, comparing our fractions:

Jacob - 6/18

Louis - 14/18

#1 part 1 - 14/18 > 6/18

#1 part 1 - So Louis ate more candy than Jacob.

Now to find how much more, lets subtract Louis's from Jacob's:

14/18 - 6/18

=

#1 part 2 - 8/18

So the difference is 8/18

Next we have question 7.

So lets go over what we know.

We need to write division problems.

A fraction itself is a division problem.

In a fraction, the numerator is divided by the denominator.

So in our first question:

1/5 can be written as: 1 divided by 5 equals 1/5, or:

#2 part 1 - 1÷5=1/5

In our second one:

4/8 can be written as: 4 divided by 8 equals 4/8, or:

#2 part 2 - 4÷8=4/8

In our third one:

9/12 can be written as: 9 divided by 12, equalling 9/12, or:

#2 part 3 - 9÷12=9/12

Im sorry I have to go ill finish answring in like 15 minutes! Hope this will help you so far! :D

Answer:

Ok, to countinue on from what I was saying.

Step-by-step explanation:

So, lets go over what we know for #3:

Becca has 3 cookies.

She needs to divide these 3 cookies into 7 pieces.

Or, we can think of this as:

She needs to divide 3 by 7.

3÷7 is equal to 3/7, so our answer is:

#3 part 1 - 3/7

#3 part 2 - I attached a image below of this.

Next lets go over what we know for #4.

Kelsey has 25 pages.

She reads 4 6/8ths of these pages.

We need to find what she has left.

We can do this by subtrating her 25 pages by 4 6/8ths:

25-4 6/8

Well, lets start by subtracting the whole number, 25-4 is 21:

21-6/8

Now lets subtract the fraction. Since we know that there is a total of 8/8ths in 1, and we are subtracting 6/8ths, we can now look at this as:

#4 part 1 - 20 2/8

Since we took 1 from 21, making it 20. Then we subtracted 6/8 from 8/8:

8/8-6/8 = 2/8

So it was 20 2/8.

Now we are on our last question.

We need to add 1/4 to 2 1/3

First off, we need to find a common denominator.

This will be 12. So:

3/12 and 2 4/12

Now lets add them together:

#5 part 1 - 2 7/12

So this is your answer.

Hope this helps! :D

Answer:

D

Step-by-step explanation:

Answer:

5 x 3 x 2 = 30 feet

Step-by-step explanation:

Multiply all given lengths (has to be 3) in order to get the volume.

The scale factor for the length is 12/8 = 1.5 and the scale factor for the width is 15/10 = 1.5

So the scale factor used to make an enlarged version is 1.5.

A scale factor is a value used to multiply the dimensions of an object in order to increase or decrease its size. It is often represented as a ratio, such as 1:2 or 1/2, which indicates that the new object is half the size of the original object. Scale factors can also be expressed as a decimal or a percentage, such as 0.5 or 50%. Scale factors can be used in various fields such as architecture, cartography, and graphic design.

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Answer:

No Solution

Step-by-step explanation:

When we solve for the first variable in one of the equations, then substitute the result into the other equation. Which would lead to these equations having no solutions .  

I really hope this helps !

I'm terribly sorry if It didn't .

If you need me to elaborate please feel free to ask :))

I hope you have a wonderful day , stay safe!!

~Sleepy~

Answer:When we solve for the first variable in one of the equations, then substitute the result into the other equation. Which would lead to these equations having no solutions .  

Answer:

x > 64

therefore, 65 and 66 both apply

Step-by-step explanation:

[tex]\sqrt{x}[/tex] > 8

square each side to get:

x > 64

Answer:

Step-by-step explanation:

Answer: y ≥ −3/2x − 3

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

Hope this helps!

Answer:

f(- 2) = - 1

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 3 - (- 2)² = 3 - 4 = - 1

Answer:

240 cell phones

Step-by-step explanation:

=12×1500

=18000÷75

=240

Answer:

( 2 , 1 ) , ( 4 , 1 ) , ( 4 , 4 ) .......

Answer:

Points of B are (-4,-1), (-2,-1) and (-4,-4)

Step-by-step explanation:

Points of A are (-4, 1), (-2, 1) and (-4,4)

Name the reflected trangle B.

If you have a point (x,y) and you reflect in the x-axis. That point becomes (x,-y).

Therefore. Points of B are (-4,-1), (-2,-1) and (-4,-4)