What is another way to summarize this proof?
A. Angles forming a linear pair are congruent.

B. Vertical angles are supplementary.

C. Vertical angles are congruent.

D. Angles forming a linear pair are supplementary.

The number of purple marbles in the bag are; 201 purple marbles

We are told that Two-fifths of the marbles are green, and the rest are purple.

A) The image attached shows the bar model where the shaded parts denote the purple marble while the unshaded parts denote the green marbles.

B) We are told that there are 134 green marbles.

If the total number of marbles are x. Then;

(2/5)x = 134

x = 134 * 5/2

x = 335 marbles

Thus;

Purple Marbles = (3/5) * 335 = 201 purple marbles

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For calculation of the following entries, the bond interest expense will gotten by multiplying the carrying bond value by the market interest rate.

Date    Account titles                   Debit        Credit

Jan. 1.  Cash                                $407,968

                 Bonds payable                           $380,000

                 Premium on bonds payable      $27,968

                 ($407,968 - $380,000)

Date      Account titles                          Debit      Credit

Dec. 31. Bond interest expense          $24,478

                    Premium bond payable                    $2,122

                    Bond interest payable                      $26,600

Date    Account titles                   Debit        Credit

Jan. 1.  Bond interest payable     $26,600

           ($380000 * 7%)

                   Cash                                            $26,600

Missing words "Prepare journal entries to record (a) The issuance of the bonds, (b) The accrual of interest and the premium amortization on December 31, 2022 and (c) The payment of interest on January 1, 2022"

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The original price of a laptop that is 65% of the sales price is R3 1076923.07692

The sale price of a laptop is R3 700,00,which is only 65% of the original price.

Therefore,

let

x = original price

Hence,

700, 000 = 65% of x

700,000 = 65 / 100 of x

cross multiply

70000000 = 65x

divide both sides by 65

x = 70000000 / 65

x = 1076923.07692

Therefore, the original price of the laptop is R3 1076923.07692

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The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5

The formula to find the equation of this function using two coordinates is;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

Using the first 2 coordinates, we have;

(y - 1)/(x + 1) = (3 - 1)/(2 + 1)

(y - 1)/(x + 1) = 2/3

3y - 3 = 2x + 2

3y = 2x + 5

y = ¹/₃(2x + 5)

Thus, the inverse is;

f⁻¹(x) = (3x - 5)/2

Thus;

f⁻¹(3) = (3*3 - 5)/2

f⁻¹(3) = 2

Similarly;

f⁻¹(x) = (3x - 5)/2

Thus;

f⁻¹(8) = (3*8 - 5)/2

f⁻¹(8) = 8.5

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Answer:

197.9

Step-by-step explanation:

find the area of the large circle and subtract the area of the small circle

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

area of large circle = 144[tex]\pi[/tex]

area of small circle = 81[tex]\pi[/tex]

area of shaded region = 63[tex]\pi[/tex]

which is equal to about 197.9

Answer:

  (a)  none

Step-by-step explanation:

A "hole" in the graph of f(x) is located at an x-value where the left limit of the function and the right limit are the same finite value, but the function is undefined at that value of x.

The function f(x) = (x -2)/(x -2) can be reduced to the function f(x) = 1, which is defined everywhere. That reduction occurs when the numerator factor (x-2) cancels the same binomial denominator factor. A graph of the original function will be a straight horizontal line with a "hole" at (2, 1).

The attachment shows a graph.

The given function can be reduced, but the reduced function remains undefined at x=1/2. Not all of the denominator factors are cancelled there. The function is graphed in the second attachment. At x=1/2, there is a vertical asymptote, not a hole.

  [tex]g(x)=\dfrac{(2x-1)(x+4)^2(x-1)(3x+2)}{3x(x-4)(2x-1)^3}\qquad x\notin \left\{0,\dfrac{1}{2},4\right\}\\\\g(x)=\dfrac{(x+4)^2(x-1)(3x+2)}{3x(x-4)(2x-1)^2}\qquad x\notin \left\{0,\dfrac{1}{2},4\right\}[/tex]

There are no holes in the function's graph.

__

Additional comment

A hole can occur for a variety of reasons. In the graph of a rational function, it will generally be found where numerator and denominator zeros cancel each other completely, and the function can be "reduced" to one that is define at the location of those zeros.

It can also occur in piecewise defined functions, where the pieces are defined on adjoining (half) open intervals. For example:

  [tex]f(x)=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x > 0\end{cases}[/tex]

has a hole at (0, 0).

[tex]f(x) = - 3(x + 3) {}^{2} + 3[/tex]

Answer:

See below

Step-by-step explanation:

equal probability    each occurs 1 time out of 16 possibilities

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ttth

ttht

tthh

thtt

thth

thhh

httt

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thth

htht

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hhtt

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hhht

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Answer:

37,000

Step-by-step explanation:

10,867 rounds to 11,000 and 26,186 to 26,000. 11,000 + 26,000 = 37,000

Both the function have same vertical stretch of 1.5 , Option B is the correct answer.

A function is a law that relates a dependent and an independent variable.

The functions given in the question is

f(x) = 3/2 |(x -7)| -2

g(x) = 1.5 ln(x-2)+7

For a function f(x)

f'(x) = a f(x) represents the stretching of a function if a> 1

here the value of a = 1.5 for both the functions , so they have same vertical stretch of 1.5 .

Therefore from the options given , Option B is the correct answer.

The complete question is attached as an Image.

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Answer:

The y intercept is the point where the line crosses the y axis.

Step-by-step explanation:

Answer:

2MN=RA+TP

13×2=x+18

26=x+18

26-18=x

8=x

Answer:

[tex]\huge\boxed{\sf 5.6 \ miles}[/tex]

Step-by-step explanation:

Given that,

Rachel runs 7 miles in 80 minutes.

80 minutes = 7 miles

Using unitary method

Divide 80 to both sides

1 minute = 7/80 miles

1 minute = 0.0875 miles

Multiply 64 to both sides

64 minutes = 0.0875 × 64 miles

64 minutes = 5.6 miles

So, Rachel will run 5.6 miles in 64 minutes.

[tex]\rule[225]{225}{2}[/tex]

The function shows a horizontal shift of the function to the right by 3 units

Transformation is a techniques used to change the position of an object on an xy-plane. Given the parent function f(x) = x

The translated function g(x) = x + 3 shows a horizontal shift of the function to the right by 3 units

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Answer:

i can't see the picture.

The graph of the given system of equations is shown below

From the question, we are to graph the given system of equations.

The given system of equations are

y − 2x = −1

x + 3y = 4

The graph of the given system of equations is shown below

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The number of scores between 19.5 and 49.5 using the cumulative frequency is 16.

The cumulative frequency is the running total of frequencies over some class intervals.

The frequency refers to the number of elements in the set or class.

Therefore, the cumulative frequency is the sum of all previous frequencies up to the required point.

Scores on a Test

Class    Frequency   Cumulative Frequency

20–29         9                        9 (0 + 9)

30–39         4                       13 (9 + 4)

40–49         3                      16 (13 + 3)

50–59         2                      18 (16 + 2)

60–69        10                    28 (18 + 10)

Thus, the number of scores between 19.5 and 49.5 using the cumulative frequency is 16.

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Answer:

  y = 9x +1000

Step-by-step explanation:

The relation for the total cost of manuals based on the number produced will be the sum of a base cost and a variable cost. The variable cost is the product of the cost per manual and the number of manuals.

The cost per manual can be found by looking at the increase in cost relative to the increase in the number of manuals produced:

  cost per manual = (increase in cost)/(increase in production)

  = ($2350 -1450)/(150 -50) = $900/100 = $9

The base cost will be added to the product of the cost per manual and the number of manuals. For the 2nd year purchase, this is ...

  $1450 = base cost + (50 manuals)×($9/manual)

  $1450 = base cost + $450

  base cost = $1450 -450 = $1000

The equation for the cost in dollars (y) of producing x manuals can now be described by ...

  y = (cost per manual)x +(base cost)

  y = 9x +1000

Answer:

[tex]66\pi[/tex] ft²

Step-by-step explanation:

First find the area of the rectangle surrounding the cylinder.

Since the base diameter is 6 feet, the circumference [tex]=\pi d=6\pi[/tex].

Since the height is 8 feet, the area of the rectangle is [tex]6\pi\times8[/tex] or [tex]48\pi[/tex]

Now the area of the base circle [tex]=\pi r^2 = \pi\times\frac{1}{4}d^2=9\pi[/tex]

There are 2 base circles, so [tex]9\pi\times2=18\pi[/tex]

Surface area = [tex]18\pi+48\pi=66\pi[/tex] ft²

The question was incomplete. Below you will find the missing content.

Use the system of equations and graphs below to complete the sentence.

x - 2y = 5

3x + 15y = -6

The graph that correctly represents the given system of equations is a graph ( ), and the solution to the system is ( , ).

The correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

Given the first equation is x-2y=5

in this equation of line, the x-coordinate is:

x-(2.0)=5

⇒ x=5

The x-coordinate will be (5,0).

in this equation of line, the y-coordinate is:

0- 2y=5

⇒y= -5/2

The y-coordinate will be (0,-5/2).

So the first line equation has x-coordinate (5,0) and y-coordinate (0,-5/2).

Similarly,

Given the second equation is 3x+15y=-6

in this equation of line, the x-coordinate is:

3x+(15.0)=-6

⇒ x=6/3=2

The x-coordinate will be (2,0).

in this equation of line, the y-coordinate is:

(3.0)+15y=-6

⇒y= -6/15= -2/5

The y-coordinate will be (0,-2/5).

So the second line equation has x-coordinate (2,0) and y-coordinate (0,-2/5).

Equation-1: x - 2y = 5

⇒x =2y+5

putting the value of x in equation-2

3x + 15y = -6

⇒ 3(2y+5)+15y=-6

⇒6y+15+15y=-6

⇒21y=-6-15=-21

⇒y=-21/21=-1

putting the value of y in equation of x

x= 2(-1)+5= -2+5= 3

The solution of system of equations will be (3,-1)

Checking all the options

In option B one line has  x-coordinate (5,0) and y-coordinate (0,-5/2) and another line has x-coordinate (2,0) and y-coordinate (0,-2/5).

And the point of intersection of two lines is (3,-1).

Therefore the correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

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El uso de las dadas operaciones es:

Para las operaciones "<", ">", y "=" uso es:

Entonces simplemente debemos comparar los dos números, si vemos al primer problema, por ejemplo:

3 ___ 17/2

Sabemos que 17/2 = 8.5

8.5 es más grande que 3, entonces el signo que debe ir ahi es:

3 < 17/2.

Todas las operaciones que estan colocados en la hoja ya son correctos.

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Answer:

C.y=sin(x-2)

Step-by-step explanation:

Using the topic of transformation of functions(rules shown in picture above)

the the (x-2) moves the graph to places to the right

and as the sine graph goes through 0 and so you add 2 to the right (but there is a problem in the graph should in the picture as it should me labeled 0,90,180,270,360 not these small numbers)

hope it helps!! :)

Answer:

7.534g ring is heavier, by 2.234g

Step-by-step explanation:

Note: mg =

[tex] {10}^{ - 3} grams[/tex]

[tex]5300mg = ( \frac{5300}{ {10}^{3} } )g \\ = ( \frac{5300}{1000} )g \\ = 5.3g[/tex]

From here we can see Ring A (7.534g) is heavier than Ring B(5,300mg)

Difference in Mass = 7.534g - 5.3g

= 2.234g

Answer:

2347 elevated in the cube

Step-by-step explanation:

nashe

Answer:

come omo-tzzf-ivc In meet I will tell

Answer:

25-13=12 kokichi has 12 left

Step-by-step explanation:

hope it helps sorry if I'm wrong

Answer:

Basic math 25 - 13 =   12

Step-by-step explanation:

Answer: [tex]64\pi[/tex]

Step-by-step explanation:

Area of the outer circle: [tex](\pi)(10^{2})=100\pi[/tex]

Area of the inner circle: [tex](\pi)(6^{2})=36\pi[/tex]

Subtracting these areas, we get the area of the shaded region is [tex]\boxed{64\pi}[/tex]

The weight of the math and the history book are 72 and 96 ounces respectively.

A history book weights 24 oz more than a math book.

Therefore,

let

x = weight of math book

weight of history book = 24 + x

The math book is 75% the weight of the history book.

Therefore,

math book weight = 75 / 100 (24 + x)

x = 75 / 100 (24 + x)

x = 1800 + 75x / 100

100x =  1800 + 75x

100x - 75x =  1800

25x = 1800

x = 1800 / 25

x = 72

Therefore,

weight of math book = 72 ounces

weight of history book = 72 + 24 = 96 ounces.

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After four rounds of the game, it is impossible that Prinyanka's score could be A. 6.

The numbers of the right side are shown to be odd numbers. the lowest numbers that Priyanka can get are:

= 1, 3, 5, 7

Assuming Priyanka picks 1 and 3 which are the lowet number, the total Priyanka would get i:

= 1 + 1 + 3 + 3

= 8

it is therefore not possible to get 6 points after 4 rounds of the game.

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The exponential function that describes the situation is:

[tex]A(t) = 1320(1.2)^t[/tex]

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

The parameters for this problem are:

A(0) = 1320, r = 0.2.

Hence the equation is:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 1320(1 + 0.2)^t[/tex]

[tex]A(t) = 1320(1.2)^t[/tex]

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