What are the first four terms of the sequence defined recursively below? a_q=5 a_n=(-1)^n+3a_(n-1)+2

Answer:

15 days

Step-by-step explanation:

Answer:

27 days

Step-by-step explanation:

Answer:

first and last options

Step-by-step explanation:

Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².

Answer:

1 and 4

Step-by-step explanation:

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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The area of the four triangles is 208 square units and the area of a larger square is 441 square units.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The area of one triangle = (1/2)(8)(13) = 52 square units

The area of four triangles = 208 square units

The area of a larger square = 441 square units

c² = 233

a² + b² = 233

a² + b² = c²

Thus, the area of the four triangles is 208 square units and the area of a larger square is 441 square units.

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Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

To determine the proportion of z-scores that fall outside the interval from z = -2.65 to z = 2.65, we need to calculate the area under the standard normal curve outside this interval. This can be done by subtracting the area under the curve between -2.65 and 2.65 from 1. The resulting value represents the proportion of z-scores that are outside the given interval.

The standard normal distribution has a mean of 0 and a standard deviation of 1. The interval from z = -2.65 to z = 2.65 represents a range of 2.65 standard deviations to the left and right of the mean.

To calculate the proportion of z-scores outside this interval, we need to find the area under the standard normal curve between -2.65 and 2.65. This area represents the proportion of z-scores within the interval.

We can use a standard normal distribution table or statistical software to find the area under the curve between -2.65 and 2.65. Once we have this value, we subtract it from 1 to obtain the proportion of z-scores that fall outside the interval.

Therefore, the proportion of z-scores outside the interval from z = -2.65 to z = 2.65 is 1 minus the area under the standard normal curve between -2.65 and 2.65.

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The function that describes the sequence 4, −2, 1, −1, ... , 41 is given by:an = 10 - 6n.

The sequence 4, −2, 1, −1, ... , 41 is an arithmetic sequence, which means that the difference between each consecutive term is constant. To find the common difference,

we can subtract any two consecutive terms in the sequence. Let's use the first two terms as an example: −2 − 4 = −6. We can see that the common difference is −6.

Thus, the nth term of the sequence can be expressed as follows:an = a1 + (n - 1)dwhere an represents the nth term of the sequence, a1 represents the first term of the sequence, and d represents the common difference.

Using the values given in the problem, we can plug them into the formula and simplify:an = 4 + (n - 1)(-6)an = 4 - 6n + 6an = 10 - 6n

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Option 3 is not equivalent!

(Hope I could help!)

Answer:

1. SSS; Triangle ABC is congruent to Triangle DEF; sorry there's no triangle symbol on here.

2. HL; CBA is congruent to ZYX; or ABC is congruent to XYZ

Step-by-step explanation:

Answer:

is - 280 the answer of that question

Answer:

Option D

Hope this helps!

Given:

\(c=75x+2600\\\); where c is cost in dollars and x is items sold

\(r=225x-x^{2}\); where r is revenue in dollars and x is items sold

Equations:

\(x=\frac{-b\±\sqrt{b^2-4ac}}{2a}\)

Answer:

For cost and revenue to be equal, the company should produce and sell 20 or 130 items.

\(x=20\\\) or \(x=130\)

Step-by-step explanation:

1. Set the equations equal to each other; \(75x+2600=225x-x^2\)

2. Subtract \(225x-x^2\) from each side; \(x^2-150x+2600=0\\\)

3. Determine quadratic formula variables; \(a=1; b=-150; c=2600\)

4. Substitute \(a\), \(b\), and \(c\) into quadratic formula; \(x=\frac{-(150)\±\sqrt{(-150)^2-4*1*260}}{2*1}\)

5. Solve quadratic formula; \(x_{1} = 130\), \(x_{2}=20\)

A pregnant woman with a past history of a cesarean section is at the greatest risk for uterine rupture.

Uterine rupture refers to a tear or separation of the uterine wall, which can be a life-threatening complication during pregnancy or labor. Women who have had a previous cesarean section are at an increased risk of uterine rupture compared to those who have not undergone the procedure. This is because the scar tissue from the previous incision can weaken the uterine wall, making it more susceptible to rupture during subsequent pregnancies. The risk of uterine rupture is highest during labor, especially if the woman attempts a vaginal birth after cesarean (VBAC). The pressure and contractions of labor can place stress on the scarred area, increasing the chances of a uterine tear. Uterine rupture can lead to severe bleeding, fetal distress, and other complications that may require emergency medical intervention, including a cesarean delivery. It is important for pregnant women with a history of cesarean section to work closely with their healthcare providers to assess the risks and make informed decisions about their mode of delivery. This may involve considering the individual's specific circumstances, such as the type of uterine incision from the previous cesarean and any additional factors that may increase the risk of uterine rupture.

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

its the  firs one

Step-by-step explanation:

Answer: Is the question to find unit price, if it is, the answer is $16.77. Divide 200/12 to get the unit price. Hope this helps and good luck to having a bright future ☀️

Step-by-step explanation:

9514 1404 393

Answer:

  y = 2x -4

Step-by-step explanation:

The coefficient of x in the given equation is the slope of the line. A perpendicular line will have a slope that is the opposite reciprocal:

  -1/(-1/2) = 2

The point-slope form of the equation of a line can be used to find the desired equation:

  y -y1 = m(x -x1) . . . . . . line through (x1, y1) with slope m

For (x1, y1) = (2, 0) and m = 2, the equation is ...

  y -0 = 2(x -20

  y = 2x -4

Answer:

225 \(units^{2}\\\)

Step-by-step explanation:

The probability that there are more than 5 left-handed students in a class of 30 students is 0.1049

The given parameters are:

Sample size, n = 30

Probability of success, p = 0.11

x > 5

To determine the required probability, we make use of the following complement rule:

P(x > 5) = 1 - P(x ≤ 5)

Using a binomial calculator, we have:

P(x ≤ 5) = 0.89508640002

Substitute P(x ≤ 5) = 0.89508640002 in P(x > 5) = 1 - P(x ≤ 5)

P(x > 5) = 1 - 0.89508640002

Evaluate the difference

P(x > 5) = 0.10491359998

Approximate

P(x > 5) = 0.1049

Hence, the probability that there are more than 5 left-handed students in a class of 30 students is 0.1049

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Answer:

8.94 m

Step-by-step explanation:

Use the Pythagorean Theorum - \(a^2 + b^2 = c^2\). Use leg 1 as a, leg 2 as b, and the third side as c.

We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

\((4)^2 + (4*2)^2 = c^2\)

Now, we use the Order of Operations to find \(c^2\)...

\(4^2+8^2=c^2\\16+64=c^2\\80=c^2\)

Now, we find the square root of \(c^2\) to find c...

\(\sqrt{80} =8.94\)

So, the length of the third side is 8.94 m.

Answer:

2622.80

Step-by-step explanation:

I just took the test and made a 100%

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

An equation is an expression that shows the relationship between two or more numbers and variables.

Boyle's law is given by:

P₁V₁ = P₂V₂

Where P is pressure and V is volume. Hence:

12(3) = 6 * P₂

P₂ = 6 atm

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

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Apply Boyles law

Answer:

x = 19

Step-by-step explanation:

1 = x - 18

1 + 18 = x

x = 19

Answer:

Only 3 boards can be cut if they are whole

Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!

78%

14/18 is 77.78%

Rounded to the nearest percent is 78%

Hope this helps!

Answer:

14 out of 18 which is 14/18 = .7777 = 77.7%

Step-by-step explanation:

The length of the wooden rod required is (2x - 4) cm. The length of the wooden rod required will be the same as the width of the window since the rod should span the entire width.

We need to use the formula for the area of a rectangle, which is length times width. In this case, the width is the height of the window, which is (2x + 4) cm. To find the length, we need to divide the area by the width: Length = Area / Width
Length = (4x² + 2x - 12) cm² / (2x + 4) cm
To simplify this expression, we can factor the numerator:
Length = [(2x - 2)(2x + 3)] cm² / (2x + 4) cm

Now we can cancel out the (2x + 4) in the numerator and denominator:
Length = (2x - 2)(2x + 3) / 1 cm
Length = 2x² - x - 6 cm
Therefore, the length of the wooden rod required is 2x² - x - 6 cm.
To find the length of the wooden rod required, we first need to determine the width of the window. Since the area of the window is given by the expression (4x² + 2x - 12) cm² and its height is (2x + 4) cm, we can find the width by dividing the area by the height.
(4x² + 2x - 12) cm² / (2x + 4) cm = width
We can factor the numerator to simplify the expression:
(2x - 4)(2x + 3) cm² / (2x + 4) cm = width
Now, we can cancel out the common factor (2x + 4) from the numerator and denominator:
(2x - 4) cm = width

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