Square root of -18 ?

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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The shortest straights path for run to get back to the starting line will be;

⇒ √40

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

Runners at cross country meet run 6 miles east and again 2 miles south from the starting line.

Now,

We can apply the Pythagoras theorem to find the shortest straights path.

Hence,

Shortest straights path. = √6² + 2²

                                    = √36 + 4

                                    = √40

Thus, The shortest straights path for run to get back to the starting line will be;

⇒ √40

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Answer: square root of 40

Step-by-step explanation:

did the quiz!

Answer:

B

Step-by-step explanation:

i have took the quiz a while ago!

Answer:

D

its the big clix

Answer:

B

Step-by-step explanation:

Higher temps. shows lower altitude, therefore lowering temps. shows an increase in altititude

The 99% confidence interval for the mean math SAT score for this district is [468.80, 531.20]. We can be 99% confident that the true mean math SAT score for the district is within this interval.

To calculate the confidence interval, we will use the formula:

CI =\(\bar x\) ± zα/2 × (σ/√n)

where:

\(\bar x\) is the sample mean (500)

zα/2 is the z-score for the desired confidence level (99%, which corresponds to a z-score of 2.576 for a two-tailed test)

σ is the population standard deviation (100)

n is the sample size (68)

Plugging in the values, we get:

CI = 500 ± 2.576 × (100/√68)

CI = 500 ± 2.576 × 12.11

CI = 500 ± 31.20

Therefore, the 99% confidence interval for the mean math SAT score for this district is [468.80, 531.20]. We can be 99% confident that the true mean math SAT score for the district is within this interval.

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Answer:

Switch make it

\( \frac{30}{18} = \frac{5}{a} \)

Then do

\( 30 \div 5 = 6\)

Then

\(18 \div 6 = 3 \)

Answer is

\( \frac{5}{3} = \frac{30}{18} \)

10/16

Step-by-step explanation:

Well i'm not really able to but how i did it on With words.

The manager should charge $150 per night to maximize the hotel's revenue

To maximize the hotel's revenue, the manager should find the price point where the hotel has the most occupied rooms. Starting at $150 per night, if the price is increased by $2.50, one room is left vacant. Therefore, the number of occupied rooms decreases by one for every $2.50 increase in price.

Let's assume that the optimal price is x, and the number of occupied rooms at this price is y. We can express this relationship with the equation y = 100 - 4(x - 150), where 100 is the total number of rooms and 4 is the number of rooms left vacant for every $2.50 increase in price.

To maximize revenue, the hotel should aim to have the most occupied rooms. We can find the maximum occupancy by taking the derivative of the occupancy equation with respect to price and setting it equal to zero:

dy/dx = -4 = 0
x = 150

This means that the optimal price for maximum occupancy is $150 per night. However, to find the maximum revenue, we need to multiply the price by the number of occupied rooms:

Revenue = x*y
Revenue = $150 * (100 - 4(x - 150))
Revenue = $150 * (100 - 4(0))
Revenue = $15,000

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.

Answer:

The maximum height of the sign is 3.6 inches.

Step-by-step explanation:

To obtain the maximum height of the sign, we need to understand the relationship between the eccentricity and the dimensions of an ellipse.

The eccentricity of an ellipse measures how elongated or stretched the ellipse is. It is defined as the ratio of the distance between the foci of the ellipse to the length of the major axis.In this case, the eccentricity is given as 0.60, which means the distance between the foci is 0.60 times the length of the major axis.

The length of the major axis is 36 inches, we can calculate the distance between the foci:

Distance between foci = eccentricity * length of major axis

Distance between foci = 0.60 * 36 inches

Distance between foci = 21.6 inches

Now, to obtain the maximum height of the sign, we need to consider that the distance from the center of the ellipse to the highest point (vertex) is equal to the distance from the center to one focus.

The maximum height of the sign is half the length of the minor axis, and it can be calculated using the formula:

Height = 0.5 * (length of major axis - 2 * distance between foci)

Height = 0.5 * (36 inches - 2 * 21.6 inches)

Height = 0.5 * (36 inches - 43.2 inches)

Height = 0.5 * (-7.2 inches)

Height = -3.6 inches

However, negative height does not make sense in this context, so we take the absolute value of the height:

Absolute Height = |-3.6 inches

Absolute Height = 3.6 inches

Therefore, the maximum height of the sign is 3.6 inches.

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The possible values of k are k = 2 and k = -2. These are the values of the constant k for which f(x) is continuous at x = 2.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To determine the values of the constant k for which f(x) is continuous at x = 2, we need to ensure that the left-hand limit, the right-hand limit, and the value of f(x) at x = 2 are all equal.

First, let's find the left-hand limit as x approaches 2. We evaluate the function for x < 2:

f(x) = x² + 5kx    (for x < 2)

Taking the limit as x approaches 2 from the left side (x < 2), we have:

lim(x→2-) f(x) = lim(x→2-) (x² + 5kx) = 2² + 5k(2) = 4 + 10k

Next, let's find the right-hand limit as x approaches 2. We evaluate the function for x > 2:

f(x) = k²x + 4x + 4    (for x > 2)

Taking the limit as x approaches 2 from the right side (x > 2), we have:

lim(x→2+) f(x) = lim(x→2+) (k²x + 4x + 4) = k²(2) + 4(2) + 4 = 2k² + 8 + 4 = 2k² + 12

Now, let's evaluate the value of f(x) at x = 2:

f(x) = 3k² - 4    (for x = 2)

f(2) = 3k² - 4

For f(x) to be continuous at x = 2, the left-hand limit, the right-hand limit, and the value of f(x) at x = 2 should all be equal. Therefore, we set up the following equation:

4 + 10k = 2k² + 12 = 3k² - 4

Simplifying, we have:

2k² + 8 = 3k² - 4

Rearranging the terms, we get:

k² - 12 = 0

Factoring, we have:

(k - 2)(k + 2) = 0

So, the possible values of k are k = 2 and k = -2. These are the values of the constant k for which f(x) is continuous at x = 2.

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Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Answer:

All real numbers are possible solutions.

Step-by-step explanation:

4x + 6 = 4x + 6

~Subtract 6 to both sides

4x = 4x

~Subtract 4x to both sides

0 = 0

Best of Luck!

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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The American section will be 84°.

Given is circle, we need to find the central angle for America,

So, given that,

The frequency of German is 4, American is 7, Italian is 13 and of Other 6,

So,

The total frequency = 4 + 7 + 13 + 6 = 30

So, for American section = 7/30 x 360 = 84

Hence the American section will be 84°.

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Answer:

x≤ 25.

Step-by-step explanation:

SO basically, the equation is x+-7≤ 18.  What you do is you use the equation to solve for x. So,  x+-7 is the same as x-7, so what you do is you add 7 from both sides to get x≤ 25.

Hope this helps:)

The evaluation of the paths of the ellipse and hyperbola are as follows;

Part A: The vertices are; (0, 36), (0, -4)

Part B: Comet H comes closest to the sun

Part C: The location of the Sun is the location of the x-coordinate of the path of both ellipse

An ellipse is the locus of a point that moves such that the sum of the distances from two points, known as the focal points, is a constant

Part A: The standard form of the equation of a hyperbola is presented as follows;

\(\dfrac{(x - h)^2}{a^2} -\dfrac{(y-k)^2}{b^2} =1\)

Where;

(h, ,k) = The center of the ellipse

a = Vertex to center distance

c = The distance from center to foci

The equation of an ellipse is presented as follows  

\(\dfrac{(x - h)^2}{a^2} +\dfrac{(y-k)^2}{b^2} =1\)

The vertices of the ellipse are; a + h and k + b

The specified equation is presented as follows;

Comet E = \(\dfrac{(y+16)^2}{400} +\dfrac{x^2}{144} =1\)

The vertices for the comet E are;

(0, 20 + 16) = (0, 36) and (0, 16 - 20) = (0, -4)

Part B: Comet H = \(\dfrac{(y+13)^2}{144} +\dfrac{x^2}{25} =1\)

The vertex of the comet H = (0, -13 + 12) = (0, -1), and (0, -13 - 12) = (0, -25)

Based on the location of the comet H close to the origin, the comet that comes closest to the Sun is comet H

Part C; The location of the Sun at the origin is the location of the x-coordinate of the center of both comets

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To retrieve the names of projects with an employee working more than 15 hours, you can use the following SQL query:

SELECT project.name FROM project

JOIN assignment ON project.id = assignment.project_id

JOIN employee ON assignment.employee_id = employee.id

WHERE assignment.hours > 15;

The query uses the SELECT statement to retrieve the name column from the project table. It performs joins with the assignment and employee tables using the appropriate foreign keys (project.id, assignment.project_id, assignment.employee_id, and employee.id). The JOIN keyword is used to combine the tables based on their relationships.

The WHERE clause specifies the condition assignment.hours > 15 to filter the assignments where an employee has worked more than 15 hours. Only the projects meeting this condition will be included in the result.

By executing this query, you will retrieve the names of projects that have at least one employee working more than 15 hours on them.

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Answer:

(1, 0) ; (3, 0)

Step-by-step explanation:

Answer:

x = 4,  x = 8

Step-by-step explanation:

Given the quadratic equation, x² - 12x + 38 = 6

Subtract 38 from both sides:

x² - 12x + 38 - 38 = 6 - 38

x² - 12x = -32

You'll need to rewrite the equation in the form, x² + 2ax + a². To find the value of a:

2ax = -12x  

Divide both sides by 2x to solve for the value of a :

\(\frac{2ax}{2x} = \frac{-12x}{2x}\)

a = -6

Substitute the value of a into the quadratic form, x² + 2ax + a²

x² - 12x + a² = -32 + a²

x² - 12x + (-6)² = -32 + (-6)²

x² - 12x + 36 = -32 + 36

x² - 12x + 36 = 4

Rewrite the perfect square trinomial into its binomial factors:

x² - 12x + 36 = 4

(x - 6)² = 4

To solve for x, take the square root of each side of the inequality:

\(\sqrt{(x - 6)^{2}} = +/- \sqrt{4}\)

\(\sqrt{(x - 6)^{2}} = \sqrt{2^{2} } = (x - 6) = 2\)

For (x - 6) = 2, start by adding 6 to both sides of the equation:

x - 6 + 6 = 2 + 6

x = 8

\(\sqrt{(x - 6)^{2}} = -\sqrt{2^{2} } = (x - 6) = -2\)

For (x - 6) = - 2, start by adding 6 to both sides of the equation:

x - 6 + 6 = - 2 + 6

x = 4

Therefore, the solutions to the quadratic equations using the perfect square strategy are: x = 4, x = 8.

If the price level in Canada falls and the price level in the United States does not change, Canadian-manufactured sofas are relatively less expensive, so Sherri will likely purchase a Canadian manufactured sofa.

This is because the decrease in price level in Canada would make Canadian goods more affordable, including Canadian manufactured sofas. This makes them a more attractive option for Sherri than U.S. manufactured sofas which would still be relatively more expensive even if their price level did not change. Answer D is correct in this scenario. However, if U.S. manufactured sofas were initially more expensive than Canadian sofas, then answer B could also be correct. Overall, Sherri's decision would depend on the initial price difference between Canadian and U.S. manufactured sofas, as well as her personal preferences and any other relevant factors.

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Write the equation of a line that is perpendicular to x=5.

x=5 is a straight line going through 5 on the x axis.  A line perpendicual to this will be any line parallel to the x axis.  This would mean y=[Any Number].  Pick what you want for [Any Number}, but I'll choose my lucky number, 6.

y =6

Write the equation of a line that is parallel to 4x+3y=1.

A parallel line have the same slope, so we can start by rewriting the equation in standard form of y=mx + b, where m is the slope and b the y-intercept (the value of y when x=0):

 3y = -4x + 1

 y = -(3/4)x + (1/3)

The slope is -(3/4), so the new line will also have the nsame slope.  Start by putting -(3/4) in the satandard format:

 y = -(3/4)x + b

In the absence of any other information, we are free to pick whatever value we want for b, as long as it is not 1.  I'll choose . . .

y = -(3/4)x + 6

Write the equation of a line that is perpendicular to x-5y=2

As before, rewrite into standard form:

-5y = -x + 2

y = (1/5)x + 2

A perpendicular equation will have a slope that is the negative inverse of the reference line.  The negative inverse of (1/5) is -5.  Now we have:

    y = -5x + b

Since we aren't given any addition information, we can pick any b we want.  

   y = -5x + 6

See the attached graph.

Skewness of the normal distribution. When it comes to normal distribution, the skewness is equal to zero.

Skewness is a measure of the distribution's symmetry. When a distribution is symmetric, the mean, median, and mode will all be the same. When a distribution is skewed, the mean will typically be larger or lesser than the median depending on whether the distribution is right-skewed or left-skewed. It is not appropriate to discuss mean or median in the case of normal distribution since it is a symmetric distribution.

Therefore, the answer is None of the above.

In normal distribution, the skewness is equal to zero, and it is not appropriate to discuss mean or median in the case of normal distribution since it is a symmetric distribution.

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The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

-2/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

(10-12)/(5-2) = -2/3

Answer:

B

Step-by-step explanation:

Area of a rectangle = Length x width

= 1.3x

Answer:

Step-by-step explanation:

You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.

Angles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.

  x + y + z = 290°

  x + 180° = 290°

  x = 110°

Angles x and y are vertical angles, so are congruent.

  y = x = 110°

Then z is found from ...

  y + z = 180°

  110° + z = 180°

  z = 70°

The measures of x, y, and z are 110°, 110°, and 70°, respectively.

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Answer:

3 terms

Step-by-step explanation:

5\(p^{2}\) - 2p + 3r

It has 3 terms

They are as follows:

5\(p^{2}\)

-2p

and 3r

Hope this helps

plz mark as brainliest!!!!!

a. 34 students aced at least one quiz. b. 7 students aced all three quizzes. c. 2 students aced both X and Y but not Z. d. 3 students aced both X and Z but not Y. e. 1 student aced both Y and Z but not X.

To determine the number of students who aced at least one quiz, we can add the number of students who aced X, Y, and Z together and then subtract the number of students who did not get an A on any quiz. Therefore, 21 + 19 + 17 - 1 = 34 students aced at least one quiz.

To find the number of students who aced all three quizzes, we can look at the overlapping regions. Since there are 9 students who aced both X and Y, 11 students who aced both X and Z, and 8 students who aced both Y and Z, we can find the smallest overlapping region, which is the intersection of all three sets. Therefore, 7 students aced all three quizzes.

To determine the number of students who aced both X and Y but not Z, we subtract the number of students who aced all three quizzes from the number of students who aced both X and Y. Therefore, 9 - 7 = 2 students aced both X and Y but not Z.

Similarly, to find the number of students who aced both X and Z but not Y, we subtract the number of students who aced all three quizzes from the number of students who aced both X and Z. Therefore, 11 - 7 = 3 students aced both X and Z but not Y.

Lastly, to determine the number of students who aced both Y and Z but not X, we subtract the number of students who aced all three quizzes from the number of students who aced both Y and Z. Therefore, 8 - 7 = 1 student aced both Y and Z but not X.

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To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

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Step-by-step explanation:

0.6/100= 0.006 should be multiplied to decrease by 0.6%