7x + 30 = x + 6(x + 5)

\( \large\overbrace{\underbrace{\underline{\boxed{ \sf \: Aиѕωεя ☂}}}}\)

The Correct choice is C

The calculator will show an incorrect value, because she should have added 18 and 2 then entered 20 * 15 - 7 into the calculator.

I hope that explains it since we have to solve what's given in the bracket first.

Paper Company will make the following entry:

Debit: Notes Receivable - Dame Company $4,700

Credit: Accounts Receivable $4,700

What is an entry?

An "entry" in accounting refers to the recording of a financial transaction or event in the company's books or accounting system. It is the process of documenting the impact of a transaction on the financial statements.

1. Debit: Notes Receivable - Dame Company ($4,700) - This account represents the amount owed to Paper Company by Dame Company and is classified as a noncurrent asset since it will be settled in more than one year.

2. Credit: Accounts Receivable ($4,700) - This account represents the open accounts receivable from Dame Company, which is now being settled through the promissory note.

By making this entry, Paper Company acknowledges the receipt of the promissory note and removes the outstanding accounts receivable from their books, replacing it with a notes receivable asset.

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Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

\(x < 80000\)

Step-by-step explanation:

\(3600 + 1.02x < 2000 + 1.04x \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x < \: \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x}{3600 - 0.02x < 2000} \\ \\ 3600 - 0.02x < 2000 \\ \frac{ - 3600 \: \: \: \: \: \: \: \: \: < - 3600}{ - 0.02x < - 1600} \\ \\ \frac{ - 0.02x}{ - 0.02} < \frac{ - 1600}{ - 0.02} \\ \\ x < 80000\)

By applying the Simplex Method or Big M Method to the given problem, the optimal solution for minimizing the objective function Z = 4x₁ + 2x₂ subject to the given constraints is obtained. The optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

To solve the given problem using the Simplex Method or Big M Method, we follow these steps:

Step 1: Convert the problem into standard form:

Introduce slack variables to convert inequalities into equations.

Express any unrestricted variables as the difference of two non-negative variables.

The given problem can be converted into the following standard form:

Minimize Z = 4x₁ + 2x₂

subject to:

3x₁ + x₂ + s₁ = 27

-x₁ - x₂ = 21

x₁ + 2x₂ + s₂ = 30

x₁, x₂, s₁, s₂ ≥ 0

Step 2: Set up the initial Simplex tableau:

Construct the initial tableau using the coefficients of the objective function and the constraints:

  | Cj   | x₁ | x₂ | s₁ | s₂ | RHS |

------------------------------------

Z  | -4   |  0 |  0 |  0 |  0 |  0  |

------------------------------------

s₁ |  0   |  3 |  1 |  1 |  0 | 27  |

------------------------------------

s₂ |  0   |  1 |  2 |  0 |  1 | 30  |

------------------------------------

Step 3: Perform iterations of the Simplex Method:

We start with the initial tableau and iterate until we reach an optimal solution. I will provide the final tableau directly:

| Cj   | x₁ |  x₂ |  s₁ |  s₂ |  RHS |

----------------------------------------

Z  | -2   | 0  |  0  |  1  | -2  |  -27 |

----------------------------------------

x₁ |  1   | 1  |  0  | -1  |  1  |   6  |

----------------------------------------

s₂ |  0   | 0  |  1  | -0.5|  0.5|   3  |

----------------------------------------

The optimal solution is obtained when all the coefficients in the Z row (except Cj) are non-positive. I

n this case, Z = -27, x₁ = 6, and x₂ = 3. The objective function is minimized when x₁ = 6 and x₂ = 3, resulting in Z = -27.

Therefore, the optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

Note: The steps provided above show the general process of solving a linear programming problem using the Simplex Method or Big M Method. The exact calculations and iterations may vary depending on the specific values and coefficients in the problem.

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Answer:

the vertex is a maximum at (-4,0)

Step-by-step explanation:

This Graph represents all the real numbers which are less than or equal to 8.(Please see the attached image.)

Graphing Inequalities -

While graphing inequalities, we have to keep the following things in mind.

If the endpoint is included(i.e., incase of ≤ or ≥ ) use a closed circle.

If the endpoint is not included (i.e., in case of < or >), use an open circle.

Use open circle at either ∞ or -∞ .  

Draw a line from the endpoint that extends to the right side if the variable     is greater than the number.

Draw a line from the endpoint that extends  to the left side if the variable is lesser than the number.

Writing Inequality in Interval Notation-

If the endpoint is included (i.e., in case of ≤ or ≥) use the closed brackets '[' or ']'.

If the endpoint is not included(i.e., in case of < or > ), use the open brackets '(' or ')'

Use always open bracket at either ∞ or - ∞

inequality form = q ≤ 8

interval notation = ( -∞, 8]

It means q = (-∞......................... -4,-3,-2,-1,0,1,2,3,4,5,6,7,8] (Please see the attached image).

Hence, This graph represents all the real numbers which are less than or equal to 8.

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10000

Step-by-step explanation:

4000 is 2 fifths of his income and 4 is 2 fifths of ten so if you add back the zeros you get 10000

Answer:

please refer to the above attachment.

Step-by-step explanation:

a. 3800 + 2.5%3800 = 3895

3895 - 3800 = 95 is the interest

b. there are 12 months in a year so...

95 x 12 = 1140 is the total interest

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

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The first quartile of the dataset {1, 2, 3, 4, 5, 6} is 2.

Given data set: {1,2,3,4,5,6}

Median of the given data set =3.5

The data set can be split into 2 parts as, {1,2,3} and {4,5,6}. The first quartile is calculated by simply finding the median of the first part of the data set.

Thus, the first quartile is 2.

The quarter divides the distribution into four groups and calculates the range of values above and below the mean.

A quartile separates the dataset into four categories by dividing the data into three points: the lowest, median, and upper quartiles.

The interquartile range, a measurement of variation around the median, is calculated using quartiles.

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1 foot is equal to 12 inches. So one feet is equal to 12 inches. The conversion factor between feet and inches is 1 ft = 12 in.

Inches (in) and feet (ft) are both units of measurement for length, but they are not directly interchangeable. To convert a measurement of length from feet to inches, you will need to use a conversion factor.

To convert a measurement of length from feet to inches, you will multiply the number of feet by the conversion factor of 12.

For example,

if you have a measurement of 2 feet, you would multiply 2 x 12 to get 24 inches. So, 2 ft = 24 in.

It's important to note that when measuring length, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.

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Answer: 5) F:(1,-1)

6) W:(-3,-2)

Step-by-step explanation:

A p-value of 0.23 in the context of a clinical trial testing a vaccine's effectiveness suggests that the observed reduction in the percentage of individuals catching the virus, when comparing the vaccine group to the control group, is not statistically significant at conventional levels of significance (such as 0.05 or 0.01).

The p-value represents the probability of obtaining the observed data, or data more extreme, under the assumption that the null hypothesis is true.

In this case, the null hypothesis would typically state that there is no difference in the percentage of virus cases between the vaccine and control groups. A p-value of 0.23 indicates that there is a 23% chance of observing the reported reduction in cases or an even more substantial reduction if the null hypothesis were true.

Therefore, based solely on the p-value of 0.23, the best interpretation is that the observed reduction in virus cases could plausibly be due to random variation or chance, rather than a true effect of the vaccine. However, it is important to consider other factors, such as the study design, sample size, and clinical significance of the observed reduction, before drawing final conclusions about the vaccine's effectiveness.

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As per the addition formula, the value of the trigonometric function is -0.809.

In statistics, function is defined as a relationship between inputs where each input is related to exactly one output.

Here we have to find the value of the trigonometric function cos(13/15)cos(-/5)-sin(13/15)sin(-/5)  by using the addition and subtraction formula.

Here we have the following trigonometric function:

=> cos(13/15)cos(-/5)-sin(13/15)sin(-/5)

Now, we have to use the trigonometric addition formula,

=> Cos (A+B) = Cos A Cos B - Sin A Sin B

To solve the given function,

Here let us rewrite the given function based on the addition formula, then we get,

=> Cos ( 13π/15 + (-π/5) )

=> Cos( 12π/5)

=> Cos(144°)

=> -0.809

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Answer: nope!

Step-by-step explanation:

first, we have to plug in 5 for x in the equation. for x to be a solution, both sides of the equation need to be equal to each other!

2(5+7)-1 = (5+2)+(5+3)

** very important rule: always solve what's in the parentheses first!!

PEMDAS!!

2(12)-1 = (7)+(8)

next, solve what's right next to the parentheses, because you're multiplying the number in the parentheses by the number right next to it.

2(12) = 24

24-1=7+8

now, solve each side.

24-1 = 23

7+8 = 15

23 = 15.

as you can see, these numbers do not equal one another! therefore, x = 5 is NOT a solution to the equation.

There are 7,920 different committees that can be formed with 2 women and 3 men from a pool of 9 women and 12 men.

To calculate the number of committees that can be formed with 2 women and 3 men, we can use permutations. Permutations are used when the order of selection matters.

First, we need to select 2 women from a pool of 9. This can be done in 9P2 ways, which can be calculated as 9! / (9-2)! = 9! / 7! = (9 * 8) / (2 * 1) = 36.

Next, we need to select 3 men from a pool of 12. This can be done in 12P3 ways, which can be calculated as 12! / (12-3)! = 12! / 9! = (12 * 11 * 10) / (3 * 2 * 1) = 220.

To form a committee, we need to combine the selections of women and men.

Since the order of selection matters, we can multiply the two results: 36 * 220 = 7,920.

Therefore, there are 7,920 different committees that can be formed with 2 women and 3 men from a pool of 9 women and 12 men when using permutations.

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Answer:

(-2,3)

Step-by-step explanation:

The chances that Ashley practiced her lines, given that she got the lead role is 0.87.

Given that, Ashley practices her lines for the spring musical, there is a 87% chance she will land the lead role.

1: The probability that Ashley gets the lead role is 0.63, which is the area of the shaded portion of the area model (the intersection of the 70% chance she practices her lines and the 87% chance she lands the lead role).

2: The chances that Ashley practiced her lines, given that she got the lead role, is 0.87 or 87%, which is the chance she lands the lead role (the upper right of the area model).

Therefore, the chances that Ashley practiced her lines, given that she got the lead role is 0.87.

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CM is the perpendicular bisector of AB at M, it means that CM is perpendicular to AB, and AM=BM. Therefore, we have two right triangles, triangle AMC and triangle BMC, with a shared side CM, and AM=BM.

By the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Applying this to triangles AMC and BMC, we have:

AC² = AM² + CM²

BC² = BM² + CM²

Since AM=BM, we can substitute AM for BM in the second equation, giving:

BC² = AM² + CM²

Since the left-hand sides of these two equations are equal (by the given that CM is the perpendicular bisector of AB), we can set their right-hand sides equal to each other and simplify:

AC² = BC²

Taking the square root of both sides gives us:

AC = BC

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Answer:

Step-by-step explanation:

Hope this helps :)

Answer:

10t+10=20

Step-by-step explanation:

The prop maker should purchase 3,166.7 liters of oil for the miniature tank car built with a scale factor of 1 to 24.

To find out how many liters of oil the prop maker should purchase for a miniature tank car built with a scale factor of 1 to 24, we shall use the ratio of the volumes of the actual tank car and the miniature tank car:

Volume ratio = (miniature tank car volume) divided by (actual tank car volume)

Given:

Actual tank car volume = 76,000 L

Scale factor = 1:24

Miniature tank car volume = (1/24) x (actual tank car volume)

= (1/24) x 76,000 L

= 3,166.67 L

Therefore, the prop maker should purchase 3,166.7 liters of oil for the miniature tank car.

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Question completion:

Your Question was incomplete. Find below the full content:

A prop maker is working on a miniature tank car for a train derailment scene in which all the oil spills out of a tank car. The actual tank car can carry up to 76,000 L of oil. How many liters of oil should the prop maker purchase for a miniature tank car built with a scale factor of 1 to 24?

\(\\ \sf\longmapsto sin\theta=\dfrac{Perpendicular}{Hypotenuse}\)

\(\\ \sf\longmapsto sin74=\dfrac{n}{40}\)

\(\\ \sf\longmapsto n=40sin74\)

\(\\ \sf\longmapsto n=35(0.96)\)

\(\\ \sf\longmapsto n=38.4\)

Natural Numbers The numbers we use to count or arrange are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. Whole Numbers the sum of natural numbers and zero. not a fraction or decimal.

The counting-on method can be used by mathematicians to add numbers. With this approach, a student first adds the larger number, then "counts on" with the other addends to arrive at the sum. If the number sentence is 4 + 3, the student will understand that 4 is the greater number and will add three additional numbers, such as the integers "4... 5, 6, 7."

here ,

For those of you who are not aware with this series, it indicates that the sum of all natural numbers, i.e., 1, 2, 3, 4, and so on, up to infinity .

Is equal to -1/12 and has come to be known as the Ramanujan Summation .

Whole Numbers the sum of natural numbers and zero. not a fraction or decimal.

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Answer:

y+1-1x

Step-by-step explanation:

.................

Answer:

-(4,2)

Step-by-step explanation:

Answer:

B. 7y - 15

Step-by-step explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

Answer:

b. 7y-15

Step-by-step explanation:

First, write out the expression

1. \(10y-3(y+5)\)

To simplify the expression distribute the -3 to the terms within the paratheses.

2. \(10y-3y-15\)

Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted

3. \(7y-15\)

This means that B is the correct answer.