Which expression is equivalent to the given expression after using the distributive property?

6 · 13 + 6 · 7


6 · 7(13 + 6 )

6 · 7(13 + 6 )

6 · (13 + 6) · 7

6 · (13 + 6) · 7

6 (13 + 7)

6 (13 + 7)

6(13 + 6) + 7

6(13 + 6) + 7

Considering the definition of volume and volume of a cube, the edge length of the fish tank is 6 inches.

All matter occupies a space that can vary depending on its size. This space can be defined by volume, which is defined as the extension of an object in its three dimensions. That is, the volume corresponds to the measure of the space that a body occupies.

The cube is a polyhedron or three-dimensional geometric figure, with six equal sides, each of which is a regular polygon, that is, a square. In other words, a cube is a body made up of six faces that are square.

The volume of a cube is equal to the measure of its side to the cube:

Volume = side x side x side = side³

In this case, you know that:

Replacing in the definition of volume of a cube:

216 cubic inches = side³

Solving:

∛216 cubic inches= side

6 inches= side

Finally, the edge length of the fish tank is 6 inches.

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The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

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Answer:

Equation of a straight line, y=mx+c

i.e. y=

3

​

x+3

Therefore, y=

3

​

x+3 is the required equation of the line

Step-by-step explanation:

The inequality to represent the temperatures at which the propane is safe to use is -40 < x < 120.

It is said that it is safe to use Propane between the temperatures of -40°C and 120°C.

We already know the use of an equality. It makes the values on both sides of it equivalent.

An inequality compares the values on both sides of it. It informs us which one is greater than or less than the other or if they are equal. That is, inequality has a possibility for equality too.

Here the minimum temperature at which propane is safe to use = -40°C

The maximum temperature at which Propane is safe to use = 120°C

We take a variable 'x' to denote the safe temperature of Propane.

Then according to the information, the inequality to represent the temperatures at which the propane is safe to use is,

            -40 < x < 120

An inequality is written with the bigger value is in the open end of '<' and the lower value at the other end.

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21 is the value of function f(3) .

What is function?

f(x) = 5x + 6

f(3) = 5(3) + 6 = 15 + 6 = 21

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Answer:

34

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a , then

| 34 | = 34

The probability of a given event gives a result of 0.00037. It is generated by applying the basic concepts of probability to the assigned problem.

What is probability?

Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes

Calculation of finding the probability according to the conditions specified

The entire number of cards in a standard deck = 52

Total number of favourable outcomes = 1

The probability of selecting two cards is given by P(E1) which is equal to 1 / 52

P(E1) = 1 / 52

Another card is selected without replacing the first card, so the total number of cards in the deck becomes 51. The probability of selecting a card from these 51 cards is given by P(E) i.e. (1 / 52) × (1 / 51)

P(E) = 1 / 2652

P(E) = 0.00037

Hence, the required probability is given by 0.00037.

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When 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

Interval notation is a way of writing subsets of the real number line

Given,

6 fewer than s is no less than -78

6-s < -78

Move 6 to right hand side

-s < -78-6

-s < -84

s > 84

Then the interval notation is (84,∞)

Hence, when 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

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Answer:

The sum of two numbers is twenty-one. one number is eighteen less than two times the other =

8 and 13

The type of reasoning utilized in each of the given sentences are;

1) Inductive reasoning

2) deductive reasoning

3) Inductive reasoning

4) Deductive reasoning

5) Deductive reasoning

Inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory.

1) This statement depicts inductive reasoning because it is trying to develop a theory that that studying for a test earns you good grades.

2) This statement depicts deductive reasoning because you are testing an existing theory that red meat has iron in it to draw a conclusion that the steak on your plate has iron in it.

3) This statement depicts inductive reasoning because you are  trying to develop a theory that sum of all angles in a triangle is 180 degrees.

4) This statement depicts deductive reasoning because you are testing an existing theory that parallelograms have two pairs of parallel sides to conclude that rectangles also have two pairs of parallel sides.

5) This is deductive reasoning.

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Answer:

x = 6

Step-by-step explanation:

[tex]\frac{x}{3} -7=-5[/tex]

→ Add 7 to both sides

[tex]\frac{x}{3} =2[/tex]

→ Multiply both sides by 3

x = 6

The above number divided 12 equal parts is given as 0.45833333333. In fraction, this is represented as: 45833333329/99999999990.

Hence it is right to conclude that it is an irrational number.

An irrational number is any real number that cannot be expressed in fraction form.

Non-terminating, non-repeating decimals, such as 0.45445544455544445555..., are included. Irrational numbers are any square roots that are not perfect roots.

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Answer:

54,427

here's your answer

Answer:

A

Step-by-step explanation:

[tex]\frac{2xy}{-4x^3y^2}[/tex] ( cancel 2 and - 4 by 2 )

= [tex]\frac{xy}{-2x^3y^2}[/tex] ( cancel x on numerator/ denominator )

= [tex]\frac{y}{-2x^2y^2}[/tex] ( cancel y on numerator/ denominator )

= [tex]\frac{1}{-2x^2y}[/tex]

We get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.

Charlie's mom uses an average of 9 diapers a day.

Average = 9

Average means a number that is calculated by adding quantities together and dividing the total by the number of quantities.

Average = Sum of observations / number of observations

A = S / N

We know that:

June has = 30 days

July has = 31 days.

Total days = 30 days + 31 days = 61 days

N = 61

Let the sum = S be x.

Substituting the values in the formula, we get that:

9 = S / 61

S = 9 × 61

S = 549

Therefore, we get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.

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Answer:

3/10 or 0.3

Step-by-step explanation:

Answer:

F(x) =y

Step-by-step explanation:

He ask you what x equal when y=4 it will be 3 inshallah

Step-by-step explanation:

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Answer:

39.

Step-by-step explanation:

I say good try to the first guy, but aye, it's not fully answering the question.

PEMDAS is the order you solve all of this in. Parenthesis (), Exponents (^), Multiplication (*), Division (/), Addition (+), and Subtraction (-).

We would solve (8-5) first for 3, since there is no sign between both three's, this will be multiplication.

Next is the exponent, 11^2 is 11*11, which is equal to 121.

121 - 3 * 3 * 7 - 19

Next up is Multiplication. 3 * 3 = 9, and 9 * 7 is 63.

Now our equation is 121 - 63 - 19. There is no Division or addition symbol, so we skip to Subtraction.

121 - 63 = 58, and 58 - 19 = 39.

Your Answer is 39.

Answer:

314

Step-by-step explanation:

Changing [f(-1) = 1] into coordinate points, we get (x₁, y₁) = (-1, 1),

Changing [f(2) = 7] into coordinate points, we get (x₂, y₂) = (2, 7),

Also, changing [f(1) = 1] into coordinate points, we get (x₃, y₃) = (1, 1),

And finally, changing [f(3) = 0] into coordinate points,

We get (x₄, y₄) = (3, 0).

As per question statement, we are provided with Four separate functions, as follows, [f(-1) = 1], [f(2) = 7], [f(1) = 1] and [f(3) = 0].

We are required to convert the above mentioned functions into coordinate points.

To solve this question, we need to know the standard form of conversion of functions into coordinate points, which goes as [y = f(x)], i.e., the ordinate is a function of the abscissa.

Thus comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1).

Similarly, comparing [y = f(x)] to [7 = f(2)], we get (x, y) = (2, 7),

Comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1),

And finally, comparing [y = f(x)] to [0 = f(3)], we get (x, y) = (3, 0).

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Answer:

5a-25=bigger than 25

a=bigger than 10

Step-by-step explanation:

Answer:

a>10

Step-by-step explanation:

10-5=5

5 times 5=25

So a must be bigger than 10

Answer:

Algebraic Expressions- An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 2x + 4. Thus, we can say that 2x + 4 is an example of an algebraic expression.

Here are more examples:

• 5x + 4y + 10

• 2x2y - 3xy2

• (-a + 4b)2 + 6ab

To simplify an algebraic expression, we just combine the like terms. Hence, the like variables will be combined together. Now, out of the like variables, the same powers will be combined together

Multiply the numbers

   x - 3 . 5x – 3x -12 - 4x + 18x - 7

= x – 15x - 3x – 12 – 4x + 18x – 7  

  Subtract the numbers

= x – 15x – 3x – 12 – 4x + 18x - 7

= x – 15x – 3x – 19 - 4x + 18x

  Combining the like terms

= - 2x – 19

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Step-by-step explanation:

two inequalities are equivalent if they have the same set of solution

x - 5 < 6 - 5

x - < 1 Ladd 5 to both sides

x < 6

this is not with the question but the is a _ under all the < it didn't let me do it

Answer:

Here is the answer: n = 5 or n = -5

Answer:

The length of the rectangle is 11 inches, and the width of the rectangle is 10 inches.

Step-by-step explanation:

Let l be the length of the longer side of the rectangle. Then the width of the rectangle is l-1 inches. Since the perimeter of the rectangle is 42 inches, we have:

2(l + l - 1) = 42

l + l - 1 = 21

2l = 22

l = 11 inches, so l - 1 = 10 inches

Answer:

x-intercept(s): (2,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

The statements are not valid syllogisms.

The term syllogism has to do with the reasoning in which a premise must lead to a conclusion. In other words, the conclusion must logically follow from the premise that has been given.

Let us now see if the statements follows the laws of syllogism;

Statement 1 - If you interview for a job, then you wear a suit.

Statement 2 - If you interview for a job, then you will update your resume.

Looking at these statements it is easy to see that they are not valid syllogism. This is because, not every job requires you to wear a suit for interview. You could have a CV that does not need to be updated and still use it for an interview.

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