which of the following is a set of complementary angles ?

(PLEASE HELP THIS IS DUE TODAY!!!!)

The answer of imaginary expression is option a. The value is -3i[tex]\sqrt2[/tex] .

Imaginary expression is a specific type of algebraic expression which involves the square root of a negative number. For example 2+3i is an Imaginary expression.

Given that,

          -1[tex]\sqrt{-1[/tex] [tex]\sqrt9[/tex] [tex]\sqrt{2[/tex]

      =-1×i×3×√2 [since [tex]\sqrt-1[/tex]= i and [tex]\sqrt{9[/tex] =3]

[Here [tex]\sqrt-1[/tex] is an imaginary number]

      = -3i√2

Hence the answer is -3i√2 .

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Answer:

y = -21

Step-by-step explanation:

Hope this helps! :))

The coordinates after the rotation are:

R → M = (1, 2)

U → N = (2, 4)

T → P = (4, 5)

S → Q = (3,3)

By looking at the diagram, we can see that the mapings of the rotation are:

R → M

U → N

T → P

S → Q

We know this by looking at the orientation of the figures and by knowing how a rotation works.

So the cordinates after the rotation are the ones of these points, we can use the graph to find them:

R → M = (1, 2)

U → N = (2, 4)

T → P = (4, 5)

S → Q = (3,3)

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Answer:

See the explanation below.

Step-by-step explanation:

You need to calculate the remaining side.

Pythagorean theorem: c^2 = a^2 + b^2

=> 5^2 = 4^2 + b^2

b^2 = 25 - 16 = 9

b = √9 = 3

Draw a right triangle with the sides of 3cm and 4cm are perpendicular to form 90 degrees angle. Then connect the ends of 2 lines to form the hypotenuse which will be 5 cm long.

Answer:

Let's start by finding how much money Mary has left after buying the gift cards:

$250 - $130 = $120

Now, to find the greatest number of candy bars Mary can buy, we need to divide the amount of money she has left by the cost of each candy bar:

$120 ÷ $1.50 = 80

So Mary can buy up to 80 candy bars with the rest of her money.

We can check which inequality represents this situation by plugging in the numbers:

130 + 1.50x ≤ 250

where x represents the number of candy bars Mary buys.

If we subtract 130 from both sides, we get:

1.50x ≤ 120

Finally, if we divide both sides by 1.50, we get:

x ≤ 80

This matches our answer, so the correct inequality is:

D. 130 +1.50x ≤ 250

Answer:

D. 130 +1.50x ≤ 250

Step-by-step explanation:

250 - 130 = 120
1.50x = 120

Answer:

25.12cm²

Step-by-step explanation:

Hope it helps. Have a nice week.

Using linear programming, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees)

a. Let x be the number of full-time employees and y be the number of part-time employees.

b. The constraints are:

c. The objective function is to minimize the weekly labor cost, which is given by:

Cost = 25x + 18y

d. To graph the solution region, we can first graph the inequality 40x + 25y ≥ 4200 as a line:

Next, we can graph the inequality x ≥ 1.25y as a line:

The feasible region is the shaded region that satisfies all the constraints and is bounded by the two lines and the x and y axes:

To find the corner points, we can solve the system of equations for the lines that form the boundaries of the feasible region:

Now we can evaluate the objective function at each of the corner points:

Therefore, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees).

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Answer:

864 sq cm

Step-by-step explanation:

Surface area of cube = 6 × (l)square units. = 6 × 12cm × 12cm = 6 × 144cm = 864cmsquare.

Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.

Maximum Height refers to the vertical distance between the Reference Level and the highest point of a building's roof surface, including parapet walls, mechanical equipment installed on the roof, authorised Signage, and other permissible projections of any type.

The equation of the given circular space station is:

[tex]x^2 + y^2 = 15^2\\\\x^2 + y^2 = 225[/tex]

Given that, a 6-foot person can walk through the circular station.

Substitute the value of y = 6.

[tex]x^2 + 6^2 = 225\\\\x^2 = 225 - 36\\\\x = \sqrt{189}\\ \\x = \pm 13.74[/tex]

Also, Deck B is 2 feet below deck A thus,

[tex]x^2 + 8^2 = 225\\\\x^2 = 225 - 64\\\\x = \sqrt{161}\\ \\x = \pm 12.68[/tex]

Hence, for Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.

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Answer:

c step 3

Step-by-step explanation:

from the correct x^(2/5) do we suddenly get to

x^(5/2).

1/x³ = x^(-3) is a correct identity, and using it has no impact on x^(2/5). that should still stay x^(2/5).

the correct step 3 is then

x^(2/5)x^(-3)

step 4 is then

x^(2/5 - 3) = x^(2/5 - 15/5) = x^(-13)/5

There will be 21 computer workstations that may be arranged side by side along the wall.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The number of computer desks that can be placed side-by-side along the wall is calculated as,

⇒ (15 x 100) / 70

⇒ 1500 / 70

⇒ 21.42

There will be 21 computer workstations that may be arranged side by side along the wall.

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The product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.

Scientific notation, also known as standard form, is a way of writing very large or very small numbers in a concise and convenient way. It expresses a number as the product of a decimal number between 1 and 10 (known as the coefficient) and a power of 10.

The general form of a number written in scientific notation is:

a × 10^n

where a is the coefficient, and n is an integer exponent that indicates the number of places the decimal point must be moved to obtain the original number.

To multiply numbers in scientific notation, we multiply their coefficients and add their exponents.

69 x 5.6 x 10⁵ = (6.9 x 10¹) x (5.6 x 10⁵)

= (6.9 x 5.6) x 10¹⁺⁵

= 38.64 x 10⁶

= 3.864 x 10⁷ (in scientific notation)

Therefore, the product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.

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The complete question is :

Answer:

2,118.01

Step-by-step explanation:

The value of x is 47 from the given figure.

An angle is formed when two straight lines or rays meet at a common endpoint.

The sum of angles is 180 degrees from the figure.

x-2+x-2+x-2+x-2=180

Add the like terms

4x-8=180

Add 8 on both sides

4x=188

Divide both sides by 4

x=188/4

x=47

Hence, the value of x is 47 from the given figure.

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Answer

The shape of sampling distribution of ^p is approximately normal because n < greater than 0.05N and np (1-p) > less than 10.

Step-by-step explanation:

The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n is defined by the central limit theorem, where:

As long as these two conditions are respected:

n≤ N

np(1-p) > 10.

Here, we have the parameters

n= 700, p = 0.172, N= 15, 000

So, n/N = 0.0466 < 0.05

and, np(1-p)

= 700 x 0.172 ( 1- 0.172)

= 99.69 >10

Then the shape is approximately normal.

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Therefore , the solution of the given problem of interest comes out to be $630 ,   $659.15 ,  $638.89 and  $345.57 .

To determine simple interest, divide the sum by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a fraction of the principal amount.

Method 1: A basic interest rate of $2.50 per month for a year equals

=> $2.50 x 12 = $30 in interest.

The balance after a year equals $600 plus $30, or $630.

Response: $630

Step 2: Divide the monthly interest rate by 12 to get 0.4167%

Amount after a year:

=> $600 multiplied by (1 + 0.004167)/12 to arrive at $659.15

Response: $659.15

Option 3: $50 per month in deposits

Interest rate per month: 5% divided by 12 Equals 0.4167%

Surplus at the end of the year is equal to

=> $50 x (((1 + 0.004167)12 - 1) / 0.004167) x (1 + 0.004167) = $638.89

Response: $638.89

Method 4: Initial investment of $300, subsequent deposits of $25, and an interest rate of 5% divided by 12 equals 0.4167%.

Amount at the end of the year equals

=> $300 x (1 + 0.004167)12 + $25 x (((1 + 0.004167)12 - 1) / 0.004167) x (1 + 0.004167) = $345.57

Response: $345.57

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Answer:

The function h(x) is defined as:

h(x) = { x + 4, if x < -3

{ 2x + 5, if x >= -3

To plot this function on the graph, you would plot the points (-4, 0) and (-3, -1) for the first part of the function, and then plot the line with slope 2 passing through the point (-3, 2) for the second part of the function.

Step-by-step explanation:

Answer:

A) (5 , 1)

Step-by-step explanation:

The x coordinate goes first, then the y coordinate: (x , y)

In this case, locate Chewy. Chewy is found in the x-coordinate of 5, and a y-coordinate of 1. Therefore, (5 , 1) or A) is your answer.

~

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Answer: To draw a trend line that models the given data set, we first need to plot the points on a graph. We can use a scale of 1 unit on the x-axis and 5 units on the y-axis to plot the points as follows:

(1, 27.5)    ●

(4, 35)      ●

(7, 42.5)    ●

(10, 50)     ●

(13, 57.5)   ●

We can see that the points roughly form a straight line. To find the equation of the trend line, we can use linear regression, which involves finding the line that best fits the data.

Using a calculator or software, we can find that the equation of the trend line is:

y = 3.5x + 24

This means that for every increase of 1 unit in x, y increases by 3.5 units. The y-intercept of the trend line is 24, which represents the value of y when x = 0.

We can plot the trend line on the same graph as follows:

     |                          

  60 |-●-                        

     |  |                        

  55 |-●-----                  

     |    |                    

  50 |-●-------                

     |      |                  

  45 |-●--------              

     |        |                

  40 |-●----------            

     |          |              

  35 |-●------------          

     |            |            

  30 |-●--------------        

     |              |          

  25 |-●-----------------      

     |                |        

     --------------------      

        1   4   7   10  13      

The dots represent the original data points, and the line represents the trend line.

Step-by-step explanation:

The volume of the right cone below is 1152π/3 cubic units then the value of x is 24.

The volume of a right circular cone is given by the formula:

V = (1/3)πr²h

where π is pi (approximately equal to 3.14), r is the radius of the circular base, and h is the height of the cone.

In this problem, we are given that the volume of the cone is 1152π/3 cubic units and that the value of x is related to the radius and height of the cone.

Let's first write the formula for the volume of the cone in terms of x:

V = (1/3)π(x/3)²(x/3)

Simplifying this expression, we get:

V = (1/27)πx²

We are given that V = 1152π/3, so we can substitute this into the formula above and solve for x:

1152π/3 = (1/27)πx³

Multiplying both sides by 27/π, we get:

x³ = 1152*27/3

x³ = 27648

Taking the cube root of both sides, we get:

x = 24

Therefore, the value of x is 24.

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For this equation our term is root of -24

What is verbal sentence ?

Verbal sentences consist of a verb + subject + object or adverbial phrase. The subject and object can be either nouns or pronouns.

After solving the equation we get square of n which is equal to three times of eight

If the subject is a pronoun, it is always a suffix; and if the object is pronoun, it is always a dependent pronoun. When the subject is a pronoun, the word order is normal, meaning that the subject follows the verb and precedes the object.

If the subject is a noun and the object is a dependent pronoun, the pronoun object is before the noun subject.

The dative has a special place in the word-order of verbal sentences. It is expressed by the preposition n in addition to a noun or pronoun referring to a person, if the subject is a pronoun. It assumes a third place following the verb and its subject. However, if the subject is a noun, the dative is allocated a forward position and occurs before the subject.

If the subject is a noun and the object is a pronoun and the sentence consists of a dative, the word order is thus:

Verb + dative + dependent pronoun (object) + subject

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If to display charts and other educational material, your teacher has requested that two rows of strips be placed around the entire room. the total length of strips is: 4L + 4W.

To find the total length of strips required, we need to know the dimensions of the room. Let's assume that the room has a length of L and a width of W.

If we place two rows of strips around the entire room, one at the top and one at the bottom, the length of each strip will be equal to the perimeter of the room.

The perimeter of the room can be calculated as:

P = 2L + 2W

So, the length of strips required for one row around the room will be:

L1 = P = 2L + 2W

Since we need two rows of strips, the total length of strips required will be:

L2 = 2L1 = 2(2L + 2W) = 4L + 4W

Therefore, the total length is 4 times the length of the room plus 4 times the width of the room.

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Answer:

Jumlah uang tabungan Elsa setiap bulan dapat dihitung dengan rumus:

A = P(1 + r)^n

dimana:

A = jumlah uang tabungan akhir

P = jumlah uang tabungan awal

r = tingkat bunga per bulan (dalam desimal)

n = jumlah bulan

Dalam kasus ini, P = Rp.2.000.000,00, r = 0,5% atau 0,005 per bulan, dan n = 10 bulan.

Maka,

A = 2.000.000(1 + 0,005)^10

= 2.000.000(1,005)^10

= 2.000.000(1,0512)

= Rp.2.102.400,00

Jadi, jumlah uang tabungan Elsa di bank setelah 10 bulan adalah Rp.2.102.400,00.

Step-by-step explanation:

use the process of elimination, once you solve, it will give you one variable that will work for both equations, once you plug that in, it will give you the other variable.

7x + 3y = 13

2x -3y   = -4

add the "y"; 3y + (-3y) = 0

9x = 9

x = 1

plug in the "x" value into either question to solve for "y"

7(1) + 3y = 13

7 + 3y = 13

3y = 6

y = 2

Answer:

Step-by-step explanation:

7x + 3y = 13

2x -3y   = -4

add the "y"; 3y + (-3y) = 0

9x = 9

x = 1

plug in the "x" value into either question to solve for "y"

7(1) + 3y = 13

7 + 3y = 13

3y = 6

y = 2

Answer:

Step-by-step explanation:

he recives 8.52

Answer: $8.52

Step-by-step explanation:

First, you have to calculate how much Tommy spent, which is shown below:

2 x 3.99 = 7.98

7.98 + 3.5 = 11.48

Now that we know Tommy spent 11.48, we just subtract that from 20

$20.00 - $11.48 = $8.52

The inverse of the function will be f⁻¹(y) = y + 1.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.

The given function is y = x - 1.

To find the inverse of this function, we need to solve for x in terms of y.

y = x - 1

Adding 1 to both sides, we get:

y + 1 = x

Therefore, the inverse function is:

x = y + 1

f⁻¹(y) = y + 1

Note that the inverse function represents the reflection of the original function across the line y = x.

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Each of the 40 students would occupy 8.75 m²

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

The class must seat 40 students along with the teachers Table and shelves which will occupy 350m². The space each student would occupy is:

Space for each student = Total space / Total number of students = 350 m² / 40 student = 8.75 m²

Each student would occupy 8.75 m²

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Answer: 5/18.  or 5 over 18

Step-by-step explanation:

5 is the number of kids that want pancakes

13 is the number of kids that want waffles

18 is the total number of students

The question is asking what is the ratio of the number of students who want pancakes to the total number of students?

So you just do

5 kids that want pancakes over 18 kids total or 5/18

Answer:

The base is XZ and the height is ZY.

The measure of base is: 3 Units

The measure of Height is: 3 Units

Step-by-step explanation:

The explaination is given in the pictures...

√49 is a rational number. √50 is an irrational number. √127 is an irrational number. 125 is a rational number because it is equal to a perfect cube of the whole number 5.

A real number is considered to be irrational if it cannot be written as a simple fraction. It cannot be described using a ratio. When p and q are numbers and q is not identical to 0, N is not equivalent to p/q if N is irrational. An illustration of this is the illogic of the integers

A actual number that's unable to be written as the ratio between two integers—that is, as p/q, where both p and q both are integers—is an irrational number.

√49 is a rational number because it is equal to 7, which is a whole number.

√50 is an irrational number because it cannot be expressed as a fraction of two integers and it is not a perfect square.

√127 is also an irrational number because it cannot be expressed as a fraction of two integers and it is not a perfect square.

125 is a rational number because it can be expressed as 5^3, which is a perfect cube of the whole number 5.

Therefore, the correct statements are:

√49 is a rational number.

√50 is an irrational number.

√127 is an irrational number.

125 is a rational number because it is equal to a perfect cube of the whole number 5.

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