Which power of 2 is equal to the expression below?

____________________
| |
| (23)-2 |
|____________________|

A.) 25
B.)2-1
C.)21
D.)2-6​

Answer: The image is (6,-3)

Step-by-step explanation:

The coordinates of R is  ( 4,-2)  and to find the image using the scale factor 1.5 you will multiply the x coordinates by 1.5 and the y coordinate also by 1.5 to have the new image of R.

4 * 1.5 = 6

-2 * 1.5 = -3

The new coordinates care (6, -3)

Answer:

AC = 8

Step-by-step explanation:

Area of kits is half the product of diagonals

\(Area\; of \;kite = \frac{d_1d_2}{2}\\\\36 = \frac{AC*BD}{2} \\\\36 = \frac{AC(6+3)}{2} \\\\36*2 =9AC\)

AC = 72/9

AC = 8

Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

For more such questions on expression visit:

https://brainly.com/question/1859113

#SPJ8

Answer:

y = 4x -19

Step-by-step explanation:

y = 4x + b

first we add the point to the equation and then we solve for b

-3 = 4 ( 4 ) + b

-3 = 16 + b

     -16

-19 = b

Answer:

15 dollars off of 75 is better

Step-by-step explanation:

75 multiplied by 1.5 is only 11 dollars

Answer:

1

Step-by-step explanation:

sqrt -2(-10)+(-19)

sqrt (20-19)

sqrt (1)

1

Answer:

The statement that is true about dot plot is:

A dot plot shows the frequency of the individual values of any given data set

Step-by-step explanation:

A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.

The dot plot is somewhat like the histogram but the difference is:

A histogram shows the frequency of an interval of values of any given data set.

     for example:

  we may make a histogram for the weight of students of a class.

  since we may divide the weight of the students into some interval.

whereas the dot plot gives the frequency of the individual data points or discrete data points.

      for example:

     we may plot a dot plot for rolling a number cube 20 times.

Hence, the correct statement is:

A dot plot shows the frequency of the individual values or of any given data set.

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

For more such information on: speed

https://brainly.com/question/24739297

#SPJ8

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

To know more about factorized .

https://brainly.com/question/14268870

#SPJ11

The transformation of f(x) to g(x) is :

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

933 seats

Step-by-step explanation:

Given that :

4 different group of seats are in a movie theater :

The middle group ; 2 side groups and the back group

Number of seats in the movie theater :

THE MIDDLE GROUP:

21 Rows and 21 seats per row

Number of seats = 21 * 21 = 441 seats

THE SIDE GROUPS:

21 rows and 7 seats per row

Number of seats = 2(21 * 7) = 294 seats

BACK GROUP:

6 rows and 33 seats per row

Number of seats = 6 * 33 = 198 seats

Total number of seats :

441 + 294 + 198 = 933 seats

A person who watches TV 11.5 hours can do 36 sit-ups.

Define Regression Analysis

Regression analysis is a mathematical measure of the average relationship between two or more variables in terms of the original units of the data

Given,

y = ax +b

a = -1.073

b = 27.069

r² = 0.434281

r = -0.659

No. of hours TV watched = 11.5 hours

we have , y = ax + b

where, a = 1.073 , b = 27.069 and x = 11.5 hours

put this value in given equation,

y = 1.073 * 11.5 + 27.069

After calculating, we get

y = 39.4085 or 39

Therefore, a person who watches TV 11.5 hours can do 36 sit-ups.

To read more about the Regression Analysis

https://brainly.com/question/26755306

#SPJ13

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

Answer:

(13.0 + 0.8)

Step-by-step explanation:

I hope this helps!

The product of the numbers 4.6 and 3 in the expanded form is (13.0 + 0.8)

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given numbers are 4.6 and 3. The product of the two numbers will be done as below:-

4.6 × 3 = 13.8

Write the product in expanded form.

13.8 = (13.0 + 0.8)

Therefore, the product of the numbers 4.6 and 3 in the expanded form is (13.0 + 0.8).

To know more about multiplication follow

brainly.com/question/10873737

#SPJ2

An improper fraction is a fraction whose numerator is larger than its denomiantor.

Given mixed fraction is

Now,

So, 89/2 is the improper fraction.

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Based on the model, a player with 30 assists will have approximately 46.2 points.

a. The slope of a line in a scatter plot represents the relationship between the two variables being plotted. In this case, the slope of the model y = 1.5x + 1.2 is 1.5, which means that for every 1 unit increase in the number of assists, there is a corresponding 1.5 unit increase in the number of points.

b. To find the number of points for a player with 30 assists, we can substitute x = 30 into the model equation to get:

y = 1.5x + 1.2

= 1.5(30) + 1.2

= 45 + 1.2

= 46.2

Learn more about Scatter plot at:

brainly.com/question/6592115

#SPJ4

The inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is 202.5 + 36.39x ≤ 480.

What is an inequality?

An inequality is a comparison between two or more mathematical expressions. It can be of the form ≤, ≥, < or >.

We are given per day charges as $36.39 and the charges per mile as $0.90.

Also, it is given that in total 225 miles have been driven.

So, the charges of 225 miles are:

⇒225 x 0.90

⇒$202.5

It is given that he can spend maximum $480.

So, for the maximum number of x days, we get the inequality as

202.5 + 36.39x ≤ 480

Hence, the inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480.

Learn more about inequality from the given link

brainly.com/question/26158293

#SPJ1

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

Read more about box plot at

https://brainly.com/question/3473797

#SPJ1

9514 1404 393

Answer:

  19. wrong multiplier was used, and used incorrectly; x = -324

  20. wrong multiplier was used, and used incorrectly; y = 5

Step-by-step explanation:

In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).

__

19) As described above.

  (-36)(9) = (x/9)(9)

  -324 = x

__

20) In addition to the errors described above, the variable was changed from y to x.

  15/3 = (3y)/3

  5 = y

The answer is option c)

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Answer:

24 = x+6

x = 18

Step-by-step explanation:

N = 24

T = x

N = x+6  

24 = x+6

Subtract 6 from each side

24-6 = x+6-6

18 = x

Time has 6 marbles

Nirja has 6 more than Tim,

So you can subtract 6 from 24 to find x:

24-6 = x

Or you can add 6 to x to equal 24:

x + 6 = 24

You don't list the choices but it should be one of these.

Solve:

24 - 6 = x

x = 18

Answer:

Step-by-step explanation:

$2.99/.225 per oz. ≈ 13.29 oz or 13.2888... oz

The distance above the ground where the ladder touches the building is 28ft.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

Given the data in the question;

Plug the given values into the above formula and solve for b

c² = a² + b²

b² = c² - a²

b = √( c² - a² )

b = √( 35² - 21² )

b = √( 1225 - 441 )

b = √( 784 )

b = 28 ft

Therefore, height at which the ladder touches the building is 28ft.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

Learn more about cosine rule, click;

https://brainly.com/question/26952873

#SPJ9