the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 50 terms

The measure of angle BCA = The measure of angle C prime A prime B.

Given that

Triangle ABC is transformed to triangle A′B′C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes.

A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0.

A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.

According to the question

Triangle ABC is transformed to triangle A′B′C′, as shown below:

Here the triangle ABC is similar A'B'C' are similar triangles.

For similar triangles angles are congruent.

A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0.

A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.

Therefore,

<BAC = <B'A'C'

<ABC = <A'B'C'

<ACB = <A'C'B'

Hence, The correct relationship between the measures of the angles of the two triangles is the measure of angle BCA = The measure of angle C prime A prime B.

The complete question is : Triangle ABC is transformed to triangle A′B′C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0. Which equation shows the correct relationship between the measures of the angles of the two triangles? The measure of angle CAB = The measure of angle C prime B prime A prime The measure of angle BCA = The measure of angle A prime B prime C The measure of angle CAB = The measure of angle C prime A prime B prime The measure of angle BCA = The measure of angle C prime A prime B prime

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Answer:

y/2

y*2

y-2

y+2

y%2

y^2

      Algebraic Expression Types

     There are three different categories for algebraic expressions. As               follows:

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"y/2," "y*2," "y-2," "y+2," "y%2," and "y". Constants, coefficients, and variables make up the three main parts of an algebraic expression.

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Answer: 20ft - 6ft

Step-by-step explanation:

The Quadratic Equation [tex]3x^{2}-13x+6[/tex]  divided by [tex]x-4[/tex] for all the values of the x(except x=4).

Let us consider [tex]3x^{2}-13x+6[/tex] as equation→(1) of a Quadratic Equation assume some values for x which is satisfies the equation and doesn't satisfy equation by "hit and trail method".

x=1 substitute in the equation (1) we get    ⇒  [tex]\frac{4}{3}[/tex]

x=2 we get [tex]3(2)^{2}-13(2)+6[/tex]    [tex]=4[/tex]

x=4 we get[tex]3(4)^{2}-13(4)+6[/tex]    ⇒    [tex]\frac{2}{0}[/tex] which is not defined.

x=6 we get [tex]3(6)^{2}-13(6)+6[/tex]      [tex]= 12[/tex]

x= -2 we get [tex]3(-2)^{2}-13(-2)+6[/tex] ⇒[tex]\frac{22}{-3}[/tex]

And so on for the remaining values of x the equation will satisfy. Except  for the value x= 4 the equation doesn't satisfy because if we substitute x=4 in x-4 we get 4-4 =0 anything divided by zero is not defined.

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Divide [tex]3x^{2}-13x+6 by x-4[/tex]

Step-by-step explanation:

this is the same principle in every posted question.

I hope you understand this now.

if not please let me know what is still a "riddle" to you, so that I can explain it better.

remember, the inverse function of y = e^x is x = ln(y).

and the inverse function of y = ln(x) is x = e^y.

we want to find the value of x, where f(x) = 28.

28 = 0.48ln(x + 2) + 27

1 = 0.48ln(x + 2)

1/0.48 = ln(x + 2)

e^(1/0.48) = x + 2

x = e^(1/0.48) + 2 = 10.03119499... miles ≈ 10 miles

the pressure of 28 inches of mercury occurs about 10 miles from the eye of the hurricane.

Answer:

62.16

Step-by-step explanation:

994.01 - 200.00 / 12

Over the course of many​ games, one would expect the mean number of hits per game to be the mean of the random variable.

What is Mean?

A group of two or more numbers is simply averaged mathematically to get the term "mean." There are several ways to calculate the mean for a given collection of numbers, including as the arithmetic mean approach, which utilises the sum of the series' values, and the geometric mean method, which uses the average of a group of products. However, the majority of the time, the results from all of the main approaches to calculating a simple average are roughly the same.

There are two different types of means that can be calculated: the arithmetic mean and the geometric mean.

The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of numbers in the set.

Mean is the ratio of sum of observations to the total number of observation.

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Answer:

D.)

Step-by-step explanation:

1.) Expand the expression with distributive property. If we expand, we get 10x^2+6xy.

2.) Figure out m and n based on the expression. Since m is in front of the x^2, that means that m=10, and since n is in front of the xy, that means that n=6.
3.) Compute based on m and n. Since m is 10 and n is 6, m - n = 10 - 6 = 4. Therefore, D.) is the answer.

Answer:

Just about 50%, depending on if the data set is a odd or even number

Step-by-step explanation:

At 45, is the median value. The median of a box plot is not necessarily 50% of the data. The median is the middle value in a dataset, or the value that divides the data into two equal halves. If the dataset has an odd number of values, the median will be one of the values in the dataset. If the dataset has an even number of values, the median will be the average of the two middle values.

The required money that should have been invested to earn $55 is $1024.84.

Given that,
How much should you invest at 4.6% simple interest in order to earn $55 interest in 14 months is to be determined.

When some apply for their money on something so that they can get higher value in returns of their money.

Here,
SI = [p × r  ×t]/100
55 × 100 = p × 4.6 / 12 × 14
p = $1024.84

Thus, the required money that should have been invested to earn $55 is $1024.84.

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Answer:

x = -18

Step-by-step explanation:

Please tell me If I am wrong..

5 x 2 = 10 = numerator.

-9 x 2 = ? = denominator

? = -18

-9 x 2 = -18…

Follow me please. The answer is -18

Answer:

75

Step-by-step explanation:

y² + 5y + 9

since y = 6 we will just substitute for y

= (6)² + 5(6) + 9

= 36 + 30 + 9

= 66 + 9

= 75

i hope this helps

Answer:

If the local office supply store sells 5 packs of paper, it also sells 8 packs of envelopes. This means that the store sells 8 packs of envelopes for every 5 packs of paper.

If the store sells 15 packs of paper, it will sell 15 packs of paper * (8 packs of envelopes / 5 packs of paper) = <<15*(8/5)=24>>24 packs of envelopes.

Therefore, if the local office supply store sells 15 packs of paper, it will sell 24 packs of envelopes.

let additive inverse of it is y

So, y + (-9x+3) = 0

y = 9x-3

The distance between the mirrors A and C is 80 m.

The Pythagoras theorem tell the relation between the sides of a right triangle, in this we relate the hypotenuse to the other two sides of the triangle, mathematically expresses as- (hypotenuse)² = (Side1)²+(Side)²

Given that, Bill performed a show by placing three mirrors A, B and C in right triangular form, the distance between A and B is 20 m more than the distance between A and C, and the distance between B and C is 20 m less than the distance between A and C,

Let the distance between A and C be x,

AC = x

AB = x+20

BC = x-20

Using Pythagoras theorem,

AB² = AC²+BC²

x²+(x-20)² = (x+20)²

x²+x²+400-4x = x²+400+40x

x²-80x = 0

x(x-80) = 0

x = 0 or x = 80  (Neglecting x = 0 because distance between two sides of a triangle can't be 0)

Hence, The distance between the mirrors A and C is 80 m.

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j(m) = 2ᵐ ⁻ ¹

for functions you will replace the number in the brackets with the letter! so:

j(4) = 2⁴ ⁻ ¹

= 2³

= 8

The Fibonacci sequence begins with the following 14 integers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233.. .

What is Fibonacci sequence?

One of the most well-known mathematical formulae is the Fibonacci sequence. Each number in the Fibonacci sequence is calculated by adding the two numbers that came before it. Typically, the Fibonacci series' first two terms are 0 and 1. Hundreds of years before Leonardo Pisano Bigollo was even aware of it, the Fibonacci sequence was well-known in India. Because the date November 23 contains the numbers "1, 1, 2, 3," which are a part of the sequence, it is recognized as Fibonacci Day.

The Fibonacci sequence is as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946,….

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The required sum is given as 6n + 12.

Integers can be defined as the set of counting numbers and their negative values along with zero. An integer can be written in the form of a fraction by writing the denominator as 1.

The given problem can be solved as follows,

The consecutive three even integers greater than 2n can be written as,

2n + 2, 2n + 4 and 2n + 6

Now, the sum of these integers are given as follows,

2n + 2 + 2n + 4 + 2n + 6

= 6n + 12

Hence, the sum of the next three consecutive even integer greater  than 2n is given as 6n + 12.

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Answer:

AAS

Step-by-step explanation:

BECAUSE OF THE QUESTION

ITS GIVEN IN QUESTION

it's congruent

Answer:

[tex]\huge\boxed{\sf b = -3}[/tex]

Step-by-step explanation:

-3(3 + 6b) = 36 - 3b

Distribute

-9 - 18b = 36 - 3b

Add 3b to both sides

-18b + 3b - 9 = 36

-15b - 9 = 36

Add 9 to both sides

-15b = 36 + 9

-15b = 45

Divide -15 to both sides

b = 45/(-15)

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

Answer:

The value of b is -3.

Step-by-step explanation:

The equation is,

→ -3(3 + 6b) = 36 - 3b

Now the value of b will be,

→ -3(3 + 6b) = 36 - 3b

→ -3(3) - 3(6b) = 36 - 3b

→ -9 - 18b = 36 - 3b

→ -18b + 3b = 36 + 9

→ -15b = 45

→ b = -(45/15)

→ [ b = -3 ]

Hence, the value of b is -3.

A company's balance sheet is its financial statement at a given point in time and lists its assets, liabilities, equity capital, total debt, and other items.

A balance sheet is a list of all your capital, obligations, and assets. The assets and liabilities of a firm are described in detail on a balance sheet, which is a financial statement.

The Equity Section of the Nortech Corporation's Balance Sheet exists as follows:

Common Stock:

500,000 shares, Authorized at $1 par value

200,000 Issued Shares at $1 = $200,000

Additional Paid-in Capital          4,143,000

3,000 shares, Treasury stock        (3,000)

Retained Earnings                       253,500

Total Equity                           $4,593,500

1c. Shares Outstanding = 197,000 (200,000 - 3,000)

2. Balance in Additional Paid-in Capital = $4,143,000

3. Earnings per share = $0.75 ($147,750/197,000)

4. Dividend per share = $0.25 ($49,250/197,000)

5. The Treasury stock is reported as $3,000 on the balance sheet.

6. With a 2-for-1 stock split, the par value becomes $0.50 ($1/2)

Data and Calculations:

Par value of Common Stock = $1

Authorized Shares = 500,000 shares

Issue price per share = $22

Common Stock Account = $200,000

Issued Shares = 200,000 shares ($200,000/$1)

Treasury Stock = $3,000 (3,000 x $1)

Additional Paid-in Capital = $4,200,000 (200,000 x $21)

Additional Paid-in Capital (Treasury Stock) = $57,000 ($19 x 3,000)

Balance of Additional Paid-in Capital = $4,143,000 ($4,200,000 - $57,000)

Retained earnings for the year:

Beginning Balance $155,000

Net income                147,750

Dividends paid         (49,250)

Ending Balance    $253,500

The complete question is:

At December 31, the records of Nortech Corporation provided the following selected and incomplete data: Common stock (par $1; no changes during the current year).Shares authorized, 500,000.Shares issued, ?; issue price $22 per share. Common Stock account, $200,000.Shares held as treasury stock, 3,000 shares, cost $20 per share. Net income for the current year, $147,750.Dividends declared and paid during the current year, $49,250.Retained Earnings balance, beginning of the year, $155,000.Required: Complete the following: TIP: To determine the number of shares issued, divide the balance in the Common Stock account by the par value per share. (Round "per share" answers to 2 decimal places.)

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Answer

I think the number is -16, hope this helps!

Answer: the number is -12

Step-by-step explanation:

x-2=-14

x=-12

The equations of the system would be 6x - 4y = 3 and 2x + 4y = -2.

What is the system of linear equations in matrices?

A system of linear equations in matrices is a set of linear equations that can be expressed in matrix form. In this form, the equations are written as a matrix equation of the form Ax = b, where A is an m × n matrix of coefficients, x is an n × 1 matrix of variables, and b is an m × 1 matrix of constants. The solution to the system of equations can be found by solving for the matrix x using the matrix equation Ax = b. This can be done using various techniques, such as Gaussian elimination or matrix inversion. Matrix equations can be used to solve systems of linear equations for which the traditional algebraic methods are difficult or impossible.

We can prepare the equations as:

Equation 1: 6x - 4y = 3

Equation 2: 2x + 4y = -2

Hence, the equations of the system would be 6x - 4y = 3 and 2x + 4y = -2.

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The dimension of the square piece of paper is 6 inches.

A rectangular piece of paper is twice as long as a square piece and 3 inches wider.

The area of the rectangular piece is 108 in².

A square has all its side equal to each other and a rectangle has two opposite sides equal to each other.

Therefore,

let

x = length of the square

Therefore,

length of rectangular piece = 2x

width of the rectangular piece = 3 + x

Therefore,

area of the rectangular piece = lw

where

Therefore,

area of the rectangular piece = 2x(3 + x)

area of the rectangular piece = 6x + 2x²

108 = 6x + 2x²

2x² + 6x - 108 = 0

divide through by 2

x² + 3x - 54 = 0

x² - 6x + 9x - 54 = 0

x(x - 6) + 9(x - 6) = 0

(x + 9)(x - 6)

Therefore, we can only use positive numbers.

Hence,

x = 6

Therefore,

dimension of the square piece is 6 inches.

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The option that is not a pair of equivalent fractions for 5/8 and ½ is C. 3/8.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

From the information, Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left.

It should be noted that 3/8 is not an equivalent fraction. Therefore, the correct option is C.

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Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left. What is NOT a pair of equivalent fractions for 5/8 and ½.

10/16

3/6

3/8

5/10

Answer:

0.92727272727

Please vote for Brainliest and I hope this helps!

Answer:

38/22

Step-by-step explanation:

you multiply the first numbers and the last numbers and combine it