explain how this is an example of polygon similarity postulate, (ai answers not allowed, do not be selfish and ruin people's grades with chatGPT generated answers, weirdos)

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4=3x+8

Step 1: Subtract 3x+8 from both sides.

x2+4−(3x+8)=3x+8−(3x+8)

x2−3x−4=0

Step 2: Factor left side of equation.

(x+1)(x−4)=0

Step 3: Set factors equal to 0.

x+1=0 or x−4=0

x=−1 or x=4

Answer:

x=−1 or x=4

Answer:

3$

Step-by-step explanation:

Answer:

1. 3 because I lays on rhe angle

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

------------

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

------------

Extra info:

The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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Answer:

-4/13

Step-by-step explanation:

just using your calculator and you can get the answer.

The quotient we get when 5945 is divided by 612 is 9.7140.

When a number is divided by any other number ,the result is called quotient or we can define quotient as how many times a number divides a certain number.

The quotient we get in division either may be a real whole number or in the form of decimals.

Factors - A number which divides a number completely without leaving any remainder is called factor of that number, Or we can say when a dividend is divided by divisor and if the remainder we get is zero than the divisor ids a factor of that dividend.

When we divide 5945 by 612 we get remainder as 333 .Using division algorithm we can extend the number using zeroes after decimals which results to get 9.7140 as a quotient.

Using the result we can conclude that 612 is not a factor of 5945.

When 5945  is divided by 612 the result is  9.7140.

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Answer:

5

Step-by-step explanation:

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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Answer:

f(x) = x²-8x+15

g(x) = x -3

h(x) = f(x) ÷ g(x)

= x²-8x+15 ÷ x-3

x-3√x²- 8x +15 | x-5

x² - 3x

-5x + 15

- 5x + 15

-----------

h(x) = x-5

Answer:

34 days 4 hours and 40 minutes

Step-by-step explanation:

First convert 3,962km to miles.

There are 1.609km in 1 mile so:

3,962km/1.609km = 2461.87 miles ≈ 2,462mi

If your walking speed is 3mph then divide the distance by 3.

2462/3 = 820.67hours.

Let's figure out the number of days, hours, minutes.

820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.

.1944 x 24 = 4.6666  So 4 hours and some minutes, let's figure out the minutes.

.66666 x 60 = 40

At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.

Answer:

122.5°

Step-by-step explanation:

The angles add to form a linear pair, so the angles add to 180°. Thus, 8x=174, meaning x=21.75.

So, angle JKM is 6(21.75)-8 = 122.5°.

Answer:

0.757... (recurring)

Step-by-step explanation:

5                 10                     50

_       x         _           =          _

6                 11                       66

50/66 = 0.757...

:D

Answer:

50/66

Step-by-step explanation:

\((\frac{5}{6})(\frac{10}{11}) = \frac{50}{66}\)

Have a great day!

one time i screwed up a test and asked for a retake and they accepted

and then i passed the test the second time

Answer:

Domain and Range diagram

To describe the translation of the triangle ABC, you must know how many units the y coordinate will shift up or down.

Scale image: A scale picture is described as a ratio that shows how a figure's size and shape compare to the equivalent dimensions on the real figure or object.

By including any arbitrary constant in the shifting function, a graph can be vertically shifted.

For instance, Add one to the function if the shift is up by one unit.

Reduce the function by 4 units if the shift is down.

To describe the translation of the triangle ABC, one needs comprehend the rule of translation, which specifies how many units the x coordinate will move to the left or right and how many units the y coordinate will move up or down.

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Solution :

1. \($P(\text{ good sales in Asia }) = 0.55+0.15$\)

                                     = 0.7

2. \($P(\text{ good sales in Europe }) = 0.55+0.20$\)

                                     = 0.75

3. \($\text{P(good sales in Asia }| \text{ good sales in Europe}) $\)\($=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$\)

                                         \($=\frac{0.55}{0.75}$\)

                                          \($=\frac{11}{15}$\)

4. \($\text{P(good sales in Asia }| \text{ bad sales in Europe}) $\)

  \($=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$\)

  \($=\frac{0.15}{0.25}$\)

  \($=0.6$\)

5. \($\text{P(good sales in Europe }| \text{ good sales in Asia}) $\)

   \($=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$\)

   \($=\frac{0.55}{0.7}$\)

  \($=\frac{11}{14}$\)

6.  \($\text{P(good sales in Europe }| \text{ bad sales in Asia}) $\)

     \($=\frac{0.2}{0.3}$\)

     \($=\frac{2}{3}$\)                              

The two factors of the first number 36 which their sum is equal to 13 are 4 and 9.

Factor is a number that divides another number without a remainder. That is if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product.

The first number 36 have the following factors:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

the factors 4 and 9 will be the factors in question because;

4 × 9 = 36

4 + 9 = 13

Therefore, 4 and 9 are the two factors of 36 that their product is the first number 36 and their sum is the second number 13.

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The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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The true statements are, The radius of the circle is 3 units, The center of the circle lies on the x-axis and The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

The given equation of a circle is x² + y² - 2x - 8 = 0.

(x² - 2x + 1) + y² (- 8 - 1) = 0

(x - 1)² + y² = 9,

(x - 1)² + (y - 0)² = 3², which is in the standard form.

(1, 0) is the center of the circle.

(1, 0) is a point on the X axis. So the center of the circle lies on the X axis.

Radius of the circle is 3.

Hence the statements The radius of the circle is 3 units, The center of the circle lies on the x-axis and The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9 are all true.

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Answer:

0.015 and 3/200.

Step-by-step explanation:

1.5% is equal to 0.015. Percents are always equal to their decimal counterparts; basically, the number over 100. Dividing 1.5 by 100 will yield us 0.015.

0.015 is going to be equal to 15/1000, or 3/200. Since we did 1.5/100, we need to multiply both sides of the fraction by 10 so there are no decimal points. Therefore, this is 15/1000. If we divide both sides of this fraction by 5, then we get 3/200, which is the most simplified form.

Answer:

f(x) = x^3 - 6x^2+8x

Step-by-step explanation:

Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).

The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:

x=0 and x=2 and x=4

Just "undo" that last step of solving and you get:

x = 0 and

x - 4 = 0 and

x - 2 = 0

These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.

so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.

(x - 2)(x - 4)

use FOIL or distributive property or area model(box) method to multiply and get

x^2 - 6x + 8

Then multiply in the x using distributive property.

f(x) = x(x^2-6x+8)

f(x) = x^3 - 6x^2 + 8x

That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.

Answer:

8 cards

Step-by-step explanation:

Work Backwards:

30/2 is 15

15-7 is 8.

Hope this helps :D

Answer:

Step-by-step explanation:

Let x be the number of cards Jason had initially in his collection.

"Jason bought 9 new baseball trading cards to add to his collection"

x

+

9

is the equation because  

x

is the initial number of cards he has and he bought another 9

"His dog ate half of his collection"

1

2

(

x

+

9

)

because  

x

+

9

is what he had before his dog ate his cards and since his dog ate half, there is a  

1

2

added to the equation

"42 cards left"

1

2

(

x

+

9

)

=

42

Since his dog ate half, he is left with half of his initial card collection.

x

+

9

=

42

×

2

x

+

9

=

84

x

=

84

−

9

x

=

75

Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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