How to put -2(3x - 1 ) = 4x - 11 + 3x in order using : -6x = 7x - 13 -7x = -7x -------------------------- -13x = -13 -6x + 2 = 4x - 11 + 3x -6x + 2 = 7x -13x = -13 -13 -13 - 11 -2(3x - 1 ) = 4x - 11 + 3x x= 1 -6x + 2 = 7x -11 - 2 = -2 ------------------------------- -6x = 7x - 13

Answer:

i dont see the diagram

Step-by-step explanation:

Answer:

Step-by-step explanation:

8% supporting the visiting team, so:

92% is 2576, find the total number:

Answer:

<NMP = 88 degrees

Step-by-step explanation:

<LMP = <LMN + <NMP

Rearrange to find <NMP

<NMP = <LMP - <LMN

          = 118 - 30

          = 88 degrees

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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Answer:

3 5 dollar bills 6 1 dollar bills and 8 20 dollar bills

Step-by-step explanation:

Answer:

The one before me is right

Step-by-step explanation:

I just want some points :)

Answer:

15 + 1.50x

Step-by-step explanation:

The values of 'a' for which all solutions of the given differential equation tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞).

On the other hand, the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

To determine the values of 'a' for which all solutions tend to zero as t approaches zero, we need to analyze the behavior of the differential equation near t = 0. By studying the characteristic equation associated with the differential equation, we find that the roots are given by r = 2 and r = a. For the solutions to tend to zero as t approaches zero, we require the real parts of the roots to be negative. This condition leads to a ∈ (-∞, 0) ∪ (4, ∞).

To determine the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity, we again examine the characteristic equation. The roots are given by r = 2 and r = a. For the solutions to become unbounded as t approaches infinity, we need at least one of the roots to have a positive real part. Therefore, the values of 'a' that satisfy this condition are a ∈ (0, 4).

In summary, the values of 'a' for which all solutions tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞), and the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

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It would take Issac approximately 19 hours and 26 minutes to shovel the 34 driveways. Therefore, he will be able to earn enough money to buy his computer in just under two full days of work.

Issac shovels driveways to earn money, and he earns $25.00 for each driveway.

The cost of the new computer Issac is saving up to buy is $831.25.

Issac can shovel 14 driveways in 8 hours.

To buy the computer, he needs to save up $831.25.

If he earns $25.00 for each driveway he shovels, we can determine how many driveways he needs to shovel to make the $831.25 that he needs.

Here is the calculation:$25.00 × ? = $831.25

Now, to solve for the number of driveways, we can divide $831.25 by $25.00,

which gives us:? = $831.25 ÷ $25.00 = 33.25

Therefore, Issac needs to shovel 34 driveways to make enough money to buy the new computer he wants.

As we have mentioned, Issac can shovel 14 driveways in 8 hours.

Therefore, we can determine how much time it would take him to shovel the 34 driveways by dividing 34 by 14 and multiplying the result by 8,

as shown below:? = 34 ÷ 14 × 8 = 19.43

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The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Based on the given information that AD is congruent to BC and AC is congruent to BD, we can prove that ED is congruent to EC.

To prove that ED is congruent to EC, we will use the concept of triangle congruence. We know that AD is congruent to BC (given) and AC is congruent to BD (given).

Now, let's consider triangle ACD and triangle BDC. According to the given information, we have AD ≅ BC and AC ≅ BD.

By the Side-Side-Side (SSS) congruence criterion, if the corresponding sides of two triangles are congruent, then the triangles are congruent.

Therefore, triangle ACD is congruent to triangle BDC.

Now, let's focus on segment DE. Since triangle ACD is congruent to triangle BDC, the corresponding parts of congruent triangles are congruent. Therefore, segment ED is congruent to segment EC.

Hence, we have proved that ED is congruent to EC using the given information about the congruence of AD with BC and AC with BD.

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We can make some assumptions of a possible probability distribution. However, it's important that this probability distribution is based on a set of assumptions

Let's assume that the ages of children in the population of interest are integers between 1 and 10, and that each age has an equal probability of being selected. In this case, the probability distribution of the age of a child would be:

x P(X=x)

1 1/10

2 1/10

3 1/10

4 1/10

5 1/10

6 1/10

7 1/10

8 1/10

9 1/10

10 1/10

This probability distribution assigns a probability of 1/10 to each age between 1 and 10, indicating that each age is equally likely to be selected. Note that the sum of all probabilities equals 1, as it should be for any probability distribution.

However, it's important to note that this probability distribution is based on a set of assumptions, and in reality, the ages of children may not follow this exact distribution. It's always important to carefully consider the assumptions underlying any probability model and to gather as much relevant data as possible to inform the model.

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Let the smallest positive multiple of x that is a perfect square be y. Then: y = x × x We can say the smallest positive multiple of x that is a perfect cube is z.

The number of integers in Cameron's list is given as: (m + 1) + (n + 1)= (m + n + 2). z = x × x × x. All the multiples of x that fall between x and z can be given as:x × x, x × x × 2, x × x × 3, …, x × x × n …, x × x × x = y, x × x × (n+1), …, x × x × m …, z. The number of integers in Cameron's list will be (m + 1) + (n + 1). When (n+1) is multiplied by (m+1), it will give us the number of numbers between y and z.

Since we don't know what x is, we can't determine the values of n and m. We can, however, use their expressions to evaluate the number of integers in the sequence.  Cameron's list will be (m + 1) + (n + 1). When (n+1) is multiplied by (m+1), it will give us the number of numbers between y and z. Thus, the number of integers in Cameron's list is given as:(m + 1) + (n + 1)= (m + n + 2).

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The constant of given expression that is  2x+4 is  4 .

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets with out specifying their real values. The fundamentals of algebra taught us the way to express an unknown cost the usage of letters which include x, y, z, and many others. these letters are referred to as here as variables. An algebraic expression may be a mixture of each variables and constants. Any cost that is positioned before and accelerated by a variable is a coefficient.

Given expression ,

2x+4

It is in the form of ax+b

where b is constant.

So, the constant of given expression that is  2x+4 is  4 .

Hence, the constant of given expression that is  2x+4 is  4 .

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The tan function is referred to as the ratio of a right-angled triangle's opposite side to its neighbouring side.

The length of the neighbouring side to the angle and the opposite side to the angle are compared using the Tan formula. If we know the angle and either side of the triangle.

The six inverse trigonometric ratios are as follows: sin-1 (opposite)/(hypotenuse) = cos-1 (base)/(hypotenuse) = tan-1 (opposite)/(hypotenuse)=θ

we can also use the tan formula to determine the lengths of the triangle's sides. Tan Formula is formally defined as

tan⁡Ф = Opposite SideAdjacent Side

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Answer:

188.496 I believe

Step-by-step explanation:

could I get brainliest please? :)

The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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With the point (150,190), we get a grand total cost of 150 x 2.75 + 190 x 1.95 = $783, which is over our budget of $750.

-> D

Height of the light house is 95.6 feet .

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec(or csc), and cot in short.

Given,

Shadow of the lighthouse = 22 feet

Angle of elevation α = 77°

Height of the light house = ?

tanα = Perpendicular/base

In this case

tanα = Height/Shadow

tan 77° = Height/22

4.33 = Height/22

Height = 22 × 4.33

Height = 95.26 ≈ 95.6 feet

Hence, 95.6 feet is height of the light house.

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The area of the triangle based on the information given is 16.67 inches ²

It should be noted that the area of a triangle is given by the formula:

= 1/2 × base × height

In this second figure, the height will be:

= 5.9² - (3.4/2)²

= 5.9² - 1.7²

= 34.81 - 2.89

= 5.65

The area will be:

= 1/2 × base × height

= 1/2 × 5.65 × 5.9

= 16.67 inches ²

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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It believed that self interest was the greatest motivator of the people.

What about self interest?

Self-interest refers to the motivation or desire of an individual to pursue their own benefit or well-being. It is a fundamental human behavior that drives individuals to make decisions and take actions that are likely to result in personal gain or advantage.

Self-interest can manifest in various forms, such as seeking financial gain, pursuing personal happiness, or striving for success and recognition. While self-interest can be seen as a positive force that drives individuals to work hard and achieve their goals, it can also lead to negative consequences if pursued at the expense of others or the common good.

In economic theory, self-interest is often viewed as a key driver of market behavior, as individuals and businesses seek to maximize their profits or utility. However, many argue that a purely self-interested approach can lead to negative externalities and social problems, and that considerations of the greater good and moral principles should also be taken into account.

According to the given information:

Alexander Hamilton believed that self interest was the greatest motivator of people.

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It believed that self interest was the greatest motivator of the people.

What about self interest?

Self-interest refers to the motivation or desire of an individual to pursue their own benefit or well-being. It is a fundamental human behavior that drives individuals to make decisions and take actions that are likely to result in personal gain or advantage.

Self-interest can manifest in various forms, such as seeking financial gain, pursuing personal happiness, or striving for success and recognition. While self-interest can be seen as a positive force that drives individuals to work hard and achieve their goals, it can also lead to negative consequences if pursued at the expense of others or the common good.

In economic theory, self-interest is often viewed as a key driver of market behavior, as individuals and businesses seek to maximize their profits or utility. However, many argue that a purely self-interested approach can lead to negative externalities and social problems, and that considerations of the greater good and moral principles should also be taken into account.

According to the given information:

Alexander Hamilton believed that self interest was the greatest motivator of people.

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Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

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Answer:

23.8

Step-by-step explanation:

Since there's a decimal period, you just count three numbers from left to right.

Answer:

Area or Volume?

Step-by-step explanation:

The FALSE condition for the given inequality 3(n−6)<2(n+12) is (D) S:{42}.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made.

So, we have the inequality: 3(n − 6) < 2(n + 12)

Now, verify the false inequality as follows:

(A) S:{−5}

3(n − 6) < 2(n + 12)

3(-5 − 6) < 2(-5 + 12)

3(-11) < 2(7)

-33 < 14: TRUE

(B) S:{3}

3(n − 6) < 2(n + 12)

3(3 − 6) < 2(3 + 12)

3(-3) < 2(15)

-9 < 30: TRUE

(C) S:{12}

3(n − 6) < 2(n + 12)

3(12 − 6) < 2(12 + 12)

3(6) < 2(24)

18 < 48: TRUE

(D) S:{42}

3(n − 6) < 2(n + 12)

3(42 − 6) < 2(42 + 12)

3(36) < 2(54)

108 + 108: FALSE

Therefore, the FALSE condition for the given inequality 3(n−6)<2(n+12) is (D) S:{42}.

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Correct question:

Given the inequality 3(n − 6) < 2(n + 12), determine which integer makes the inequality false.

a. S:{−5}

b. S:{3}

c. S:{12}

d. S:{42}

The effective annual rate (EAR) of a bank account that pays daily interest with an APR of 4.5% is 4.67%.

The EAR is calculated using the following formula:

\(\begin{equation}EAR = (1 + \frac{APR}{n})^n - 1\end{equation}\)

Where:

EAR is the effective annual rate

APR is the annual percentage rate

n is the number of compounding periods per year

In this case, the APR is 4.5% and the number of compounding periods per year is 365. Plugging these values into the formula, we get:

\(\begin{equation}EAR = (1 + \frac{0.045}{365})^{365} - 1\end{equation}\)

EAR = 4.67%

Therefore, the EAR is 4.67%. This means that if you deposit $100 in an account that pays daily interest with an APR of 4.5%, you will have $104.67 at the end of the year.

It is important to note that the EAR is always higher than the APR. This is because compounding allows you to earn interest on your interest. For example, if you deposit $100 at an APR of 4.5%, you will earn $4.50 in interest in one year.

However, if your account compounds daily, you will earn interest on the interest that you earn each day. This means that you will earn more than $4.50 in interest in one year.

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