7(1 - x) = 10 – 6(x + 2)

The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Answer:

SP = selling price

SP = [(100 + Gain%) / 100] * CP.

SP = [(100 – Loss %) / 100]*CP.

Answer:

Sp is selling price

Cp is cost price then Wil be profit or loss

A time-series plot is a graphical representation in which the measure of time is expressed on the x-axis and what is to be measured is represented on the y-axis. 

A time-series plot also known as a line chart helps to depict data from any event that has been gathered in a time sequence.

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Answer:

1.) -3.75

2.) \(\frac{9}{4}\)

3.) \(\sqrt{8}\)

4.) 3

Step-by-step explanation:

Negatives are always less than positive numbers

9/4 = 2.25

Square root of 8 is around 2.83

To prove (x ⋅ D) = D, we can use the definition of the dot product and the fact that D is a constant tensor with components that do not depend on the coordinates.

Let x = xi eˆi be the position vector and let D have components Dij. Then, we have:

(x ⋅ D)i = xjDij

Using the summation convention, we can write this as:

(x ⋅ D)i = xiDii

Since D is a constant tensor, we know that Dii = D for all i. Therefore:

(x ⋅ D)i = xiD

Thus, we have shown that (x ⋅ D) = D, as required.

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The Root cause analysis uses one of the following techniques is (D) Ishikawa diagram.

The Root cause analysis is a problem-solving technique that aims to identify the underlying reasons or causes of a particular problem or issue.

It helps in identifying the root cause of a problem by breaking it down into its smaller components and analyzing them using a systematic approach.

The Ishikawa diagram, also known as a fishbone diagram or cause-and-effect diagram, is one of the most widely used techniques for conducting root cause analysis.

It is a visual tool that helps in identifying the possible causes of a problem by categorizing them into different branches or categories.

The Ishikawa diagram can be used in various industries, including manufacturing, healthcare, and service industries, and can help in improving processes, reducing costs, and increasing efficiency.

In summary, the root cause analysis technique uses the Ishikawa diagram to identify the underlying reasons for a particular problem.

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Answer:

x= 1,461 days

x= 0.0063 feet

Step-by-step explanation:

Set up a fraction and cross multiply, then divide to isolate the x variable

Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"

The equation of line passes through (2, -1) and (8, 4) in point-slope form and in standard form will be;

⇒ y + 1 = 5/6 (x - 2)

And,  - 5x + 6y = - 16

Option B is true.

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, -1) and (8, 4).

Now,

Equation of line is calculated as;

Slope of the line = (4 - (-1)) / (8 - 2)

                          = 5 / 6

So, The equation of line passing through the points (2, -1) and (8, 4) with slope 5 / 6 is;

⇒ y - y₁ = m (x - x₁)

⇒ y - (-1) = 5/6 (x - 2)

⇒ y + 1 = 5/6 (x - 2)

Hence, The equation of line in point-slope form is;

⇒ y + 1 = 5/6 (x - 2)

And, Solve the above equation for the standard form as;

⇒ y + 1 = 5/6 (x - 2)

⇒ 6 (y + 1) = 5 (x - 2)

⇒ 6y + 6 = 5x - 10

⇒ - 5x + 6y = -10 - 6

⇒ - 5x + 6y = - 16

Hence, The equation of line passes in standard form will be;

⇒ - 5x + 6y = - 16

Thus, The equation of line passes through (2, -1) and (8, 4) in point-slope form and in standard form will be;

⇒ y + 1 = 5/6 (x - 2)

And,  - 5x + 6y = - 16

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The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

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Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

4

Step-by-step explanation:

Answer:

Answer:

2.215=2 43/200

Step-by-step explanation:

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

2.215=2.215/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

2.215/1×1000/1000=2215/1000

Find the Greatest Common Factor (GCF) of 2215 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5,

2215÷5/1000÷5=443/200

Simplify the improper fraction,

=2 43/200

In conclusion,

2.215=2 43/200

Answer:

\(\frac{731}{330}\)

Step-by-step explanation:

We require 2 equations with the repeating numbers placed after the decimal point.

let x = 2.2151515... ( multiply both sides by 10 and 1000 )

10x = 22.1515.... → (1)

1000x = 2215.1515.... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

990x = 2193 ( divide both sides by 990 )

x = \(\frac{2193}{990}\) = \(\frac{731}{330}\)

Thus

2.2151515..... = \(\frac{731}{330}\)

Cutting in one minute = 105 ÷ 3 = 35 cuts

Now for six machine = 35 × 6 = 210 parts.

So, the option C. 210 parts is correct answer.

As, 20 × 3 = 60 seconds

Parts can be stamped in one minute = 24 × 3 = 72

So, time required \( = \frac{4320}{72} \\ = 60 \: minutes\)

So, the option D. 60 minutes is c correct answer

Answer:

$8960

Step-by-step explanation:

Given

principal =  $8000

rate= 3%= 0.03

time = 4 years

Required

the final amount, we assume that this is a simple interest investment.

Step two:

\(A= P(1+rt)\\\\A=8000(1+0.03*4)\\\\A=8000(1+0.12)\\\\A=8000*(1.12)\\\\A=8960\)

The final amount in the account is $8960

Answer:

acute angle

Step-by-step explanation:

Answer:

you have the correct answers

Step-by-step explanation:

you already have the right answers

Answer: Exact Form (simplify form):

8/125

Decimal Form:

0.064

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

15 * 5 = 75

5 * 4 = 20

20 + 75 = 95

Answer:

(-22, 10)

Step-by-step explanation:

So the midpoint equation is defined as: \(m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\). The order of the pairs don't matter since addition is associative, as long as you put the values where they are supposed to be (x in x spot, and y in the spot)

So, let's say the unknown end point is \((x_2, y_2)\)

We know what the midpoint is so we can solve for these values. Let's start with the x-value

\(-14=\frac{-6+x_2}{2}\)

Multiply both values by 2

\(-28=-6+x_2\)

Now add 6 to both sides

\(-22=x_2\)

Now let's do the same thing with the y-value

\(9=\frac{8+y_2}{2}\)

Multiply both sides by 2

\(18=8+y_2\)

Subtract 8 from both sides

\(10=y_2\)

So the other end point is \((-22, 10)\)

Using integration by substitution, the value of ∫31xf(x^2-1)dx is 6.

To solve this problem, we can use integral by substitution.

Let's set u = x^2 - 1, then du/dx = 2x, or dx = du / (2x).

Using this substitution, we can rewrite the integral as:

∫(3^2-1)^(8^2-1) f(u) * (du / 2)

Next, we can use the fact that f is continuous and the integral of f from 8 to 0 is 6. We can split the integral into two parts:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = ∫0^(8^2-1) f(u) * (du / 2) - ∫0^(3^2-1) f(u) * (du / 2)

The first integral on the right-hand side is the integral we're given:

∫0^(8^2-1) f(u) * (du / 2) = 6

The second integral can be rewritten using our substitution:

∫0^(3^2-1) f(u) * (du / 2) = ∫(3^2-1)^(0) f(u) * (du / 2)

Notice that we've switched the limits of integration, which means we need to negate the integral:

∫(3^2-1)^(0) f(u) * (du / 2) = -∫0^(3^2-1) f(u) * (du / 2)

Substituting back into our original integral and using these results, we get:

∫(3^2-1)^(8^2-1) f(u) * (du / 2) = 6 - (-∫0^(3^2-1) f(u) * (du / 2)) = 6 + ∫0^(3^2-1) f(u) * (du / 2)

Finally, we can substitute back in for x and simplify to get our answer:

∫31xf(x^2-1)dx = (1/2) * ∫(3^2-1)^(8^2-1) f(u) * du = (1/2) * (6 + ∫0^(3^2-1) f(u) * du) = (1/2) * (6 + ∫0^8 f(u) * du) = (1/2) * (6 + 6) = 6

∫31xf(x^2-1)dx  = 6.

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Answer: The value of x is 12

Definition of equation : In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation combines two expressions connected by an equal sign (“=”). These two expressions on either side of the equals sign are called the “left-hand side” and “right-hand side” of the equation. We generally assume the right-hand side of an equation is zero. This will not reduce the generality since we can balance this by subtracting the right-hand side expression from both sides’ expressions.

EXPLANATION : Given: to solve for X:

\(x -\frac{x+7}{x - 10} = \frac{5}{x -10}\)

Solution: \(x - \frac{x+7}{x -10} = \frac{5}{x -10}\)

\(= > x^{2} -11x -7 = 5\)

\(= > x^{2} -11x-7-5=0\)

\(= > x^{2} -11x -12 =0\)

\(= > x^{2} -12x+x-12 =0\)

\(= > x(x-12) +1(x-12)= 0\)

\(= > (x-12) (x+1)=0\)

\(x =12 , x\neq -1\)

Final answer: The value of x is 12

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If Benjamin invests $400 in a savings account that earns 5% interest each year, the expression that shows the correct balance is  A = 400(1 + 0.05)(1 + 0.05)(1 + 0.05)

The principal amount = $400

interest rate = 5%

The equation of the simple interest

A = P (1+ rt)

Where A is the final amount

P is the principal amount

r is the interest rate

t is the time period

The final amount after one year

= 400( 1 + 0.05×1)

= 400(1 + 0.05)

The final amount after two year

= 400(1 + 0.05)(1 + 0.05)

The final amount after three year

= 400(1 + 0.05)(1 + 0.05)(1 + 0.05)

Therefore, the balance amount after three years is A = 400(1 + 0.05)(1 + 0.05)(1 + 0.05)

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Step-by-step explanation:

you will plot -2 on the y axis and x axis is said to be 0.

so our coordinates would be (0,-2).

Answer:this is soooo compli

Step-by-step explanation:

Answer:

636.98

Step-by-step explanation:

\(704 * .13 = 91.52 (discount)\\704 - 91.52 = 612.48 (price after discount)\\612.48 * .04 = 24.4992 (tax)\\612.48 + 24.4992 = 636.9792(Price with tax)\\round= 636.98\)

the sales tax applies to the price after the discount is applied

Answer:

156,000

Step-by-step explanation:

291 divided by 97 is 3. 52,000 x 3 = 156,000.

Population will be 6 times of present population in 291 years.

The number of people in the city at a particular time is called population of the city.

Present population of the city = 52000

According to the problem, Population doubles in size in every 97 years.

After 97 years, the population = Double of present population

                                                  = 2 × 52000 = 104000

Population in 97 years = 104000

Population in 1 year = \(\frac{104000}{97}\)

So, population in 291 years =  \(\frac{104000}{97}\)× 291 = 104000×3 = 312000

Population in 291 years from now = \(\frac{312000}{52000}\) = 6 times

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