Answer two questions about Equations A and B:
A. 2x-1=5x
B. -1=3x
How can we get Equation B from Equation A?
Choose 1 answer:
(A) Add/subtract the same quantity to/from both sides
(B) Add/subtract a quantity to/from only one side
(C) Rewrite one side (or both) by combining like terms
(D) Rewrite one side (or both) using the distributive property

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
(A) Yes
(B) No

Answer:

c=0.59p+2

Step-by-step explanation:

The expression equivalent to -21.8 - (-18.3) would be option A; -21.8+18.3.

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple.

The given expression is

-21.8 - (-18.3)

So, open the bracket and distribute the negative;

-21.8  (+18.3)

Thus, the expression equivalent to -21.8 - (-18.3) would be option A; -21.8+18.3.

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Answer: A

Step-by-step explanation: –21.8 – (–18.3) = -3.5 and –21.8 + 18.3 = -3.5

Answer:

Answer :- Statement (B) ,C'D' ll AB

Given AB is parallel to CD.  CD rotated.

Consider a transversal line l intersecting AB and CD at angle x.

therefore By slope formula,

slope of AB and CD = m =tanx

Now after rotation of 180 CD become C'D'

therefore, slope of C'D' = =tanx=m

Hence C'D' ll AB.

Answer:

Its gonna equal itself which is 14n^4

Step-by-step explanation:

14n4

=14*n4

=14*(n*n*n*n)

=14n4

Answer:

170ft

Step-by-step explanation:

A=2(wl+hl+hw) is the equation

Answer:

SA=170

Step-by-step explanation:

5*5=25, *2=50

5*6=30, *2=60, *2=120

When 14 is divided by 7 the quotient is 2.

The number 14 is the dividend and the number 7 is the divisor and we have 14 ÷ 7 = 2.

What is a quotient?      

The division technique involves dividing one number by another to get a different number as the result. Here, the number or integer being divided is referred to as the dividend, and the integer dividing the supplied number is referred to as the divisor. The residual is the number that is produced when a number is not completely divided by its divisor. The letters "" or "/" stand in for the division sign. Therefore, the division technique may be represented as;

Quotient Divisor Remainder = Dividend

If the residual value is zero, then;

Quotient + Divisor = Dividend

Therefore,

Quotient = Dividend ÷ Divisor

Dividend: The quantity that must be split

The factor that divides the specified dividend is the divisor.

Remainder: The amount that remains after division. When a number is split in half, the residue is not equal to zero; nevertheless, when a number is divided in half entirely, the remaining is equal to zero.

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Using the Law of Cosines and the Law of Sines, we can find the remaining parts of the triangle with sides of lengths a = 9, b = 8, and c = 15. The angles of the triangle are approximately 32.5°, 57.0°, and 90.5°.

Let's start by using the Law of Cosines to find one of the angles. The Law of Cosines states that for any triangle with sides of lengths a, b, and c, and an angle opposite to side c, the following equation holds:

c² = a² + b² - 2ab*cos(C)

Plugging in the given values, we have:

15² = 9² + 8² - 2 * 9 * 8 * cos(C)

Simplifying this equation gives us:

225 = 81 + 64 - 144 * cos(C)

144 * cos(C) = 225 - 81 - 64

144 * cos(C) = 80

cos(C) = 80 / 144

cos(C) ≈ 0.5556

To find the angle C, we can take the inverse cosine (cos⁻¹) of 0.5556:

C ≈ cos⁻¹(0.5556)

C ≈ 57.0°

Now that we have one angle, we can use the Law of Sines to find the other angles. The Law of Sines states that for any triangle with sides of lengths a, b, and c, and angles A, B, and C (opposite to sides a, b, and c, respectively), the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

Plugging in the values we know, we have:

sin(A) / 9 = sin(57.0°) / 15

Cross-multiplying and solving for sin(A) gives us:

sin(A) = 9 * sin(57.0°) / 15

sin(A) ≈ 0.5373

Taking the inverse sine (sin⁻¹) of 0.5373 gives us:

A ≈ sin⁻¹(0.5373)

A ≈ 32.5°

Finally, we can find the remaining angle B by using the fact that the sum of angles in a triangle is 180°:

B = 180° - A - C

B ≈ 180° - 32.5° - 57.0°

B ≈ 90.5°

Therefore, the angles of the triangle are approximately 32.5°, 57.0°, and 90.5°.

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The table of values that represents exponential decay is (c)

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

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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The correct entry to record the receipt of a utility bill from the water company is: *A. debit Utilities Expense, credit Utilities Payable

When a utility bill is received, it represents an expense incurred by the business, so it should be debited to the Utilities Expense account. At the same time, the business has an obligation to pay the water company, creating a liability known as Utilities Payable. Therefore, the Utilities Payable account should be credited to record the amount owed.

The other options listed do not accurately reflect the transaction. Accounts Receivable (option C) is typically used when a business is expecting payment from a customer, not for recording utility bill receipts. Accounts Payable (option B) is used when a business owes money to a supplier or vendor but does not capture the specific nature of a utility bill. Lastly, option D does not account for the specific nature of the expense (utilities) and only records the payment made with cash.

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The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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Answer:

Below

Step-by-step explanation:

Every triangle should add up to 180 degrees,

This is a right triangle because it has the square in the corner meaning it is 90 degrees.

39 + 90 = 129

180 - 129 = 51 degrees

A: 51 degrees

C: 90 degrees

Answer:

a. 51 degrees

c. 90 degrees

I think

70 students

Step-by-step explanation:

if you add up 20,18,70 it will pass over 100

but you said only 100 students question

70

+20

+18

------

108

how is that possible? pls explain

answer is above 70 students I think

Answer:

(-1 ; 3)

Step-by-step explanation:

when they say find the ordered pair they simply mean find the corresponding y value when x = -1

* where you see x substitute-1 *

f(-1) = 3(-1) + 6

=3

Answer:

x = 19

Step-by-step explanation:

The value of k in the quadratic equation is k = 0 or k = 8

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + kx + k = 0   be equation (1)

And , the roots of the equation are equal

So , when the discriminant is zero we get just one real solution

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

( b² - 4ac ) = 0

Substituting the values in the equation , we get

k² - 4 ( 2 ) ( k ) = 0

On simplifying the equation , we get

k² - 8k = 0

Adding 8k on both sides of the equation , we get

k² = 8k

So , when k = 0 , the equation satisfies

And ,

k = 8

Therefore , the value of k are 0 and 8

Hence , the value of k in the equation is 0 or 8

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Answer:

Red Line

m = 1/2

b = 1

Blue Line

m = 1

b = -1

Green Line

m = 3

b = 0

Step-by-step explanation:

First off, we need to know what m and b are first.

m is the slope

b means y-intercept, or, when x is 0

And to find slope use "m = y2 - y1/x2 - x1" (remember, Rise over Run, not Run over Rise!)

Red line: if you count it, you get a point on the line each time you go up once and to the right twice. We can use Rise over run. Rise is y, or its name, go up, which is the 1. then the run which is 2. So, the slope is 1/2 or m = 1/2. and we can see that the y-intercept is 1. m = 1/2, b = 1

Blue Line: This is pretty much the same as the red line, see the slope it's rise once and run once so, the slope is 1/1 which is 1. Then the y-intecept is b which is when x is 0, we check the y-axis line and we see that the y-intercept is -1. m = 1, b = -1

Green Line: And once again, the same as Red Line and Blue Line, the slope is 3. Rise is 3 times, run is once, so, 3/1 which is 3. While the y-intercept is 0 since it is on (0,0). Meaning that it goes through the origin. m = 3, b = 0

Answer:

y= -x^2-2x-4

Step-by-step explanation:

This is standard form

Answer:

7

Step-by-step explanation:

its 7 hope this helps!!!!

The length of bc is 8. The result is obtained by using the concept of conditions for similar triangles.

For two or more similar triangles, it has two conditions.

A right triangle abc with altitude bd drawn to hypotenuse ac has the length of sides as follow

Find the length of bc!

Observe the picture of triangles in the attachment! If we drawn a perpendicular line to the hypotenuse, we'll have three similar triangles.

The corresponding sides of the two triangles are

\(\frac{\overline{ac}}{\overline{bc}} = \frac{\overline{bc}}{\overline{dc}} = \frac{\overline{ab}}{\overline{bd}}\)

The length of bc is

\(({\overline{bc})^{2} = \overline{ac} \times {\overline{dc}\)

\(({\overline{bc})^{2} = 16 \times 4\)

\(({\overline{bc})^{2} = 64\)

\({\overline{bc} = \sqrt{64}\)

\({\overline{bc} = 8\)

Hence, the length side of bc on the right triangle is 8.

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Hello!

First, let's analyze the exercise and write important information:

• investment account ,opened with $7500

• at the ,end of the year,, the amount in the account had, increased by 23.8%

Knowing this information, we are able to solve your exercise, look:

The account was opened with 7500 (that means 100%).

As there was an increase of 23.8%, we can say that after one year the account had 123.8%.

So, let's solve it using the rule of three:

Let's multiply it across:

So at the end of the year, there were $9285 in the account

To obtain the increase in one year, we can subtract the final value by the initial value, look:

$9285 - $7500 = $1785

Answer:

The custodian will be able to repaint 7 bookcases with the amount of paint.

Step-by-step explanation:

The custodian  has  5 1/4 gallons of  paint, to find the number of bookcases the custodian will be able to repaint with this amount of paint if each bookcase requires 3/4 gallons, then we will simply divide 5 1/4 by 3/4 to give  us the number.

But first we need to change 5 1/4 to improper fraction,

thus; 5 1/4 =  

5 1/4 ÷3/4   =   ÷

(We will want to change the division sign to multiplication, to do that, we will have to take the inverse of 3/4 which is 4/3 hence;

                   = ×

4 will cancel out 4 hence;

                    =

                    = 7

Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.

Answer:

140

Step-by-step explanation:

25% * x = 35

25/100 * x = 35

Multiplying both sides by 100 and dividing both sides by 25,

We have x = 35 * 100/25

x = 140

Answer: Number one is  20km. Number 2 is  I think 2.9 and number 3 ofc is 140. I'm not really sure if number 2 is correct but yeah.

Step-by-step explanation:

Answer:

Step-by-step explanation:

He can wear 8 different outfits to school.

We have,

The boy can choose one pair of pants, one shirt, and one tie can be written as an expression as:

= 1 × 1 × 1

= 1 way.

He can choose one jacket in 8 ways.

Therefore, he can wear can be written as an expression as:

= 1 × 1 × 1 × 8

= 8 different outfits.

Thus,

He can wear 8 different outfits to school.

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Answer:get smart kid

Step-by-step explanation:

True: When a form is created based on two or more tables, a relationship must be defined between queries.

True. When a form is created based on two or more tables, a relationship must be defined between queries in order to ensure that the form displays accurate data. Queries are used to pull data from multiple tables and present it in a single view, so it is important to define the relationships between these tables to avoid inconsistencies or errors in the displayed data. This ensures that the data from the related tables can be properly displayed and managed within the form.

When you drag and search a field from an "other" (unrelated) table, a new one-to-many relationship is created from the table in the list and the table from which you dragged the field. This relationship is established by Access, which does not enforce integrity by default.

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