What is the generator for the sequence: 1, 3, 9, 27, 81, ... *
O 2
O 4/3
O 8/3
O 3

Answers

Answer 1

Answer:

3

Step-by-step explanation:

what it means by generator is the continuance of the multiplication process so 1x3=3 and then 3x3=9 and so on.


Related Questions

Alexi like her drink to have a ratio of liquid yo ice of 1 to 3. A fat food retaurant put 16 oz of ice in her 32 oz cup

Answers

Alexi will not like the drink because the ratio of liquid to ice is 1/1.

Alexi likes her drink to have a liquid-to-ice ratio of about 1/3. A fast food restaurant put 16 ounces of ice in her 32-ounce cup. We need to find out if Alexi will like her drink or not, and if not, why not.

Let the ratio of the liquid to the ice in the drink be represented by the variable "R". The total volume of the cup is 32 ounces. The amount of ice in the cup is 16 ounces. So the amount of liquid in the drink is the difference between these two amounts. Hence, the amount of liquid in the cup is 32 - 16 = 16 ounces.

The ratio of the amount of liquid to the amount of ice in the drink is calculated below.

R = 16/16

R = 1/1

Hence, the ratio of the amount of liquid to the ice in the drink is 1/1. So, Alexi will not like her drink.

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What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

See below

Step-by-step explanation:

Find slope using two convenient integer coordinates

(-1,4)  and (1, -8) are convenient

  slope = (y1-y2) / (x1-x2) = (4 - -8) / ( -1 -1) =  12/-2 = -6

the y-axis intercept is -2  ( by looking at the graph)

y = -6x -2      Done.

sophie's favorite number is a two-digit number. if she reverses the digits, the result is $45$ less than her favorite number. the sum of the digits in her favorite number is $11$. what is sophie's favorite number?

Answers

Sophie's favorite number is 83

We have that;

A two-digit number is Sophie's preferred number. Her favorite number is 45 less when the digits are in reverse. Her favorite number has digits that add out to 11 in total.

To get Sophie's favorite number, we need to assume the case as;

Let,

⇒10x + y = 10y + x + 45

   x + y = 11

   y = 11-x

⇒10x + 11 - x = 10(11 - x) + x + 45

  10x + 11 - x = 110 - 10x + x + 45

  9x + 11 = 155 - 9x

  18x + 11 = 155

  18x = 144

  x = 8

Therefore, y = 11 - 8

                  y = 3

Sum = x + y = 8 + 3 = 11

Hence, the given condition is satisfied.

Sophie's favorite number is 83.

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The area of a rectangle is 110 square units. It’s length measures 11 units. Find the length of diagonal

Answers

The diagonal of the rectangle is 14.87 units.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Area of rectangle = 110 square units

Length = 11 units

Area of a rectangle = Length x Wide.

110 square units = Length x Wide

110 = 11 x Wide

Wide = 110/11

Wide = 10

Now,

The diagonal of a rectangle.

Using the Pythagorean theorem we get,

Diagonal² = Wide² + Length²

Diagonal² = 10² + 11²

Diagonal² = 100 + 121

Diagonal² = 221

Diagonal = √221

Diagonal = 14.87 units.

Thus,

The diagonal of the rectangle is 14.87 units.

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Find the value of x in the triangle below:

Answers

The value of x in the given triangle is x = 12  .

Angle Sum Property of the Triangle states that the sum of measure of all three sides of the triangle is 180° .

In the question ,

a triangular figure is given

in which , the measure of angle A is (6x - 19)°

the measure of angle B is [tex]=[/tex] 84°

the measure of angle C is [tex]=[/tex] (3x + 7)°

So , By Angle sum property ,

we get

∠A + ∠B + ∠C [tex]=[/tex] 180°

substituting the values of angle A, B and C ,

we get

(6x - 19)° [tex]+[/tex] 84° + (3x + 7)° [tex]=[/tex] 180°

6x - 19 [tex]+[/tex] 84 [tex]+[/tex] 3x + 7 [tex]=[/tex] 180

9x + 72 = 180

9x = 180 - 72

9x = 108

x = 108/9

x = 12

Therefore , the value of x is [tex]=[/tex] 12

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At the beginning of the game, April had a core of −150 point. April played for another 20 minute, and her final core wa −35

Answers

The expression that represents the change in April's score from the start to the end of the game is 355 - 150 = 205.

April played a game. The score at the beginning of the game was 150 points. After twenty minutes, her score was 355 points. We have to determine the change in her score from the beginning of the game to the end of the game.

Let the change in the score be represented by the variable "C". The change in her score is calculated below. The change in the score is the difference between the final and the initial score of April.

C = 355 - 150

C = 205

Hence, the change in her score from the beginning of the game to the end of the game is 205 points.

The complete question is given below.

At the beginning of the game, April had a score of 150 points. April played for another 20 minutes, and her final score was 355. Write and then evaluate a subtraction expression to determine the change of her score from the beginning of the game to the end of the game.

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Graph the image of rhombus ABCD after a rotation 270° counterclockwise around the origin.

Answers

After rotation, the coordinates of the vertex of the rhombus become:

A(-8,-6)B(-3,-6)C(0,-10)D(-5,-10)

How to rotate an image 270°?We refer to the process of rotating an object about a fixed point or line as rotation. By rotating an object, we might be able to fit it into a specific location or even learn more relevant details about the current activity. When an object is rotated, it seems as though its shape has changed, but it hasn't.

We know ,  when a point (x,y) rotates 270° counterclockwise about the origin, our point (x,y) becomes (y,-x)

From the graph the coordinates of the vertex of the rhombus are:

A(6,-8)B(6,-3)C(10,0)D(10,-5)

Therefore after rotation, the coordinates of the vertex of the rhombus become:

A(-8,-6)B(-3,-6)C(0,-10)D(-5,-10)

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What is the radical form of each of the given expressions? Drag the answer into the box to correctly match each expression.
2 2/3 -
3 1/3 -
3 3/2 -
2 1/2 -

Answers

The radical form of each of the given expressions are;

1) 2^(2/3) =  ∛(2²)

2) 3^(1/3) = ∛3

3) 3^(3/2) = √3³

4) 2^(1/2) = √2

What is the radical form of the exponent form?

The radical form of the expression [tex]a^{\frac{x}{y} }[/tex] is; [tex]\sqrt[y]{a^{x} }[/tex]

Thus, we can solve each of the given expressions;

1) We are given the expression as 2^(2/3).

Thus;

x = 2 and y = 3 and we have; ∛(2²)

2) We are given the expression as 3^(1/3).

Thus, x = 1 and y = 3 and so we have;

∛3

3) We are given the expression as 3^(3/2). Thus;

x = 3 and y = 2 and so we now have; √3³

4) We are given the expression as 2^(1/2). Thus;

x = 1 and y = 2 and so we now have; √2

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Write the equation for the absolute value function graphed
Thank you!

Answers

The equation using the absolute value function is x+2y-8=0.

What is an Absolute Value Function?The graph opens up or down depending on the value of variable a, which also indicates how far it stretches vertically.We can determine the graph's horizontal and vertical shifts using the variables h and k.The general form of the Absolute value function is f(x) = a|x-h| + k.

In the given graph, we have:

(h, k) ∈ (4, 2) and a = -1/2

In the general absolute value function, substitute these values:

Let's f(x) be y:

y = a | x - h | + k= (-1/2) |x-4| + 2 = (-x/2) + (4/2) +2 = -x/2 + 4   (Multiply with 2)2y = -x + 8x + 2y - 8 = 0

Therefore, the equation using the absolute value function is x+2y-8=0.

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Graph f(z)=-0.25z +4.

Answers

The graph of the function f(z) = - 0.25z + 4 is drawn.

What is a Graph?

Drawing the graph (curve) of the appropriate function is the process of graphing a function. Although graphing simple functions like linear, quadratic, cubic, etc. is very straightforward, complicated functions like rational, logarithmic, etc. need some expertise and an understanding of certain mathematical principles.

Drawing a function's representation as a curve on a coordinate plane is known as graphing. Every point on a curve (or graph) that represents a function satisfies the function equation.

A collection of edges that are ordered pairings of vertices (also known as directed edges, directed links, directed lines, arrows, or arcs) is displayed

The graph of the function is drawn. On the x-axis, the z-variable variables and on the y-axis the f(z) values are shown.

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assume the average number of times that a typical american says a word that is considered to be profane is 4 times per day with a standard deviation of 5.6. a sample of 15 students from your university is found to vocalize 3.4 profane words per day. assume that we expect the students at your university to vocalize fewer profane words. conduct directional (left-tailed) hypothesis test to determine if there is a difference between you university's population and the general population. what is the z-observed value for the test?

Answers

The z-observed value for the test of average number of times that a typical american says a word that is considered to be profane is -0.41.

Define the term z-score?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from mean are used to measure Z-score.

The formula for calculating the z-score is-

z = (x - μ)/s

in which,

n = sample size (= 15)

μ = mean (= 4)

σ = standard deviation (= 5.6)

s = σ/√n

s = 5.6/√15

s = 1.44

Put the value in z score;

z = (3.4 - 4)/1.44

z = -0.41

Because of how near to zero this test statistic is, we will not be able to rule out the null hypothesis. Seven.

There isn't enough proof to claim that there is a mean difference or that it exists in your circumstance.

Thus, they're basically arguing that we can't rule out the null hypothesis.

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g) In the figure alongside, AB is an electric pole. When an
electric wire falls, its one end touches the ground at P,
5 m away from the base of the pole. If the length of the wire
from the top of the pole to the ground is 13 m, complete
the following problems.
(i) Find the height of the pole.
(ii)If the other end of the wire touches the grand at Q, 9 m away from the
base to the opposite side of the pole, find the length of the falling wire.

Step by step solution

Answers

The height of the electric pole is 12 m

When an electric wire falls, its one end touches the ground at P, 5 m away from the base of the pole,

base = 5

length of the wire from the top of the pole to the ground is 13 m

Height of the plant can be calculated by pythagoras theorem

h² = p² + b²

13² = p² + 5²

p² = 169 - 25

p = √144

p = 12m

Therefore, the height of the electric pole is 12 m

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Solve the equation given a domain of {-3}.
3x - 2y = 5

Answers

The solution to the equations is y = -7

How to solve the equations using the domain of the replacement sets?

From the question, we have the equation to be given as

3x - 2y = 5

The above equation is a linear equation

The domain or the replacement set is given as

{-3}

Rewrite properly as

Domain  = {-3}

or

x = -3

So, we replace the variables using the elements in the replacement set

When x = -3, we have

3 x -3 - 2y = 5

Evaluate the products

This gives

-9 - 2y = 5

Add 9 to both sides

-2y = 14

Divide both sides by -2

y = -7

So, we have

x = -3 and y = -7

Hence, the solution to the equation is y = -7

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What is the least angle measure by which this figure can be
rotated so
that it maps onto itself?
45°
90°
180°
360°

Answers

90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

The correct option is (B)

From the figure,

As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.

Angle between x axis and y axis is 90°.

So rotating any degree which is a multiple of 90 i.e., 90°, 180°, 270°, 360°...… would yield the original figure.

Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

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a researcher measures anxiety levels among participants in the presence and absence of a fearful stimulus. she wants to know if anxiety levels were higher in the fearful stimulus condition. if the same participants are observed in each group, then what type of statistical design is appropriate for this study? group of answer choices a one-way between-subjects anova a one-way within-subjects anova an independent t-test a dependent t-test

Answers

Using the theories of statistical design, we got that both related sample t test and one-way within-subjects ANOVA is the appropriate statistical design for the study in which a researcher measures anxiety levels among participants in the presence and absence of a fearful stimulus.

Statistical design of experiments and the  response surface methodology has become a standard tool for the medium development. There are several applications reported in literature, such as the production of antibiotics, secondary metabolites, and enzymes.

Applications of statistical design of experiment shown in the Table 1 and several other studies use exclusively of the response surface method with quadratic polynomial models and the central composite design with on average 20–30 experiments. In most cases, the important components were identified by fractional factorial design or by the Plackett–Burman design with 10–15 experiments. Methods for narrowing  optimal variable range are only infrequently applied.

Hence, when a researcher measures anxiety levels among participants in the presence and absence of a fearful stimulus and wants to know if anxiety levels were higher in the fearful stimulus condition and if the same participants are observed in each group, then the appropriate statistical design is  that both related sample t test and one-way within-subjects ANOVA .

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Approximately how many feet tall is the streetlight

Answers

6ft-40ft depends where you are etc

Answer:

H = 30 ft

Step-by-step explanation:

Since the triangle is 90 degrees and we have to find out how tall the streetlight is we have to subtract 90 and 40 degrees. Which we get 50 degrees, after we subtract 20 from the 50 degrees. So we get 30 ft or 30 degrees.

A triangle has sides with lengths of 8 miles, 12 miles, and 17 miles. Is it a right triangle?

Answers

Yes it’s a right triangle, or it also could be a scalene

The equation of line k is y+2=-6(x-7).line l includes the point (-6,8) and is perpendicular to line k. What is the equation of line l?

Answers

The equation of line [L] would be y = (1/6)x + 9.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a equation of line [k] is y + 2 = -6(x - 7). Line [L] includes the point (-6,8) and is perpendicular to line k.

We have the equation of line [K] as -

y + 2 = - 6(x - 7)

y = - 6(x - 7) - 2

y = - 6x + 42 - 2

y = - 6x + 40

Slope of line [L] will be -

m[L] = 1/6

Assume the equation to be -

y = (1/6)x + c

Line [L] includes the point (-6, 8), so we can write -

8 = (1/6) x (- 6) + c

8 + 1 = c

c = 9

So, the equation will be -

y = (1/6)x + 9

Therefore, the equation of line [L] would be y = (1/6)x + 9.

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Find the value of r so that the line passing through (-3, r) and (7,-6)
has a slope of 2 2/5
r =

Answers

The value of r is -10 for line with slope 2/5 .

What is slope?

A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.

Main Body:

We know that the slope of line in two point form is

(y₂-y₁)/(x₂-x₁) = m where m = slope

given points are (-3,r) and (7,-6) m= 2/5

(-6-r)/(7+3)= 2/5

(-6-r)/10 =2/5

therefore value of r= -10

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room attendants at your hotel typically clean one room every 20 minutes. one-fifth of the rooms take 40% longer to clean due to various issues. how much time will it take to clean 175 rooms?

Answers

Method 1 - treat all rooms the same and add the extra time for difficult rooms
Time = 175 x 20 + 175/5 x 20 x 0.4 = 3500 + 280 = 3780 min = 63 hours

Method 2 - calculate standard rooms and difficult rooms separately
Time = 175 x 4/5 x 20 + 175/5 x 20 x 1.4 = 2800 + 980 = 3780 min = 63 hours


At the beginning of a chemistry experiment, the volume of liquid in a container was 3 milliliters. During the experiment, the volume dropped to
2.1 milliliters. Find the percent of decrease.

Answers

Answer:

30%

Step-by-step explanation:

To calculate the percent of change, you find the amount of change and divide that my the original amount

[tex]\frac{3-2.1}{3}[/tex] = [tex]\frac{.9}{3}[/tex] = .3  As a percent, this would be 30%

Find the value of (2.4) · (1.3). Show your reasoning.

Answers

The evaluation of the expression (2.4) · (1.3) gives 3.12

How to evaluate the expression?

From the question, we have the following expression that can be used in our computation:

(2.4) · (1.3)

Express as products

This gives

(2.4) * (1.3)

Remove the brackets

So, we have the following representation

2.4 * 1.3

Evaluate the product

3.12

Hence, the solution is 3.12

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Find the slope of the line that passes through the pair of points.
(3, 1), (9, 1)

Answers

Answer:

gradient:

y2-y1/x2-x1

1-1/9-3

0/-6

= 0

A scientist records 61 more shooting stars in the fall than in the spring. there are 15 shooting stars in the spring. how many shooting stars are in the fall?

Answers

The probability that shooting stars are there in the fall is 0.5904.

The probability of not seeing any falling star in that time period of 15 minutes is 1 - 0.2 = 0.8.

In this way, the combined probability of not seeing any of the falling stars in the four-time period is: 0.8 * 0.8 * 0.8 * 0.8 = 0.8⁴ = 0.4096

= 1 - 0.4096 = 0.5904

=P(X = x) = μˣ * e^-μ / x!

Here, the span is of 15 minutes. In this way, the typical number of events in the span is 15λ. The probability of witnessing 0 occasions (i.e X = 0) is:

P(X = 0) = μ⁰ * e^-(15λ) / 0! = 1 / e^(15λ) — — (1)

(1) is equal to 80% as the probability of at least one event happening is 20%.

So, 1 / e^(15λ) = 0.8

or, e^(15λ) = 1.25

or, 15λ = ln(1.25) = 0.2231

= λ = 0.0149 / min

In this way, the typical number of occasions (falling stars) is 0.0149 per minute.

Presently, the typical number of occasions in an hour is:

0.0149 * 60 = 0.8926 / hour

So, the Poisson distribution expression becomes:

P(X = x) = 0.8926ˣ * e^-0.8926 / x! — — (2)

Here, the time span is 60 minutes.

Presently, we should find the probability of not having even a solitary occasion in 60 minutes:

P(X = 0) = 0.8926⁰ * e^-0.8926 / 0! = 0.4096

So, the probability of having at least one event is the complement of the above probability.

So, P(X≥1) = 1 - P(X=0) = 1 - 0.4096 = 0.5904

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Select all ordered pairs that are a solution to -5x + 3y > 12

options:
(3, 9)
(-5, 5)
(3, -6)
(-2, -5)
(2, 8)
(-6, 0)

Answers

The ordered pairs that are a solution to the given linear equation -5x + 3y > 12 are:

(-5, 5)(2, 8)(-6, 0)

How to determine the solution?

In order to determine which ordered pairs are true solutions based on the given linear equation, we would have to test each of the ordered pairs by substituting their values into the linear equation as follows;

For ordered pair (3, 9), we have:

-5x + 3y > 12

-5(3) + 3(9) > 12

-15 + 27 > 12

12 > 12 (False).

For ordered pair (-5, 5), we have:

-5x + 3y > 12

-5(-5) + 3(5) > 12

25 + 15 > 12

40 > 12 (True).

For ordered pair (3, -6), we have:

-5x + 3y > 12

-5(3) + 3(-6) > 12

-15 - 18 > 12

-33 > 12 (False).

For ordered pair (-2, -5), we have:

-5x + 3y > 12

-5(-2) + 3(-5) > 12

10 - 15 > 12

-5 > 12 (False).

For ordered pair (2, 8), we have:

-5x + 3y > 12

-5(2) + 3(8) > 12

-10 + 24 > 12

14 > 12 (True).

For ordered pair (-6, 0), we have:

-5x + 3y > 12

-5(-6) + 3(0) > 12

30 + 0 > 12

30-5 > 12 (True).

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verify by drawing a diagram if the median and altitude of an isosceles triangle can be the same

Answers

The statement "The median and altitude of an isosceles triangle can be same", is verified by drawing diagram

The statement is  

"The median and altitude of an isosceles triangle can be same"

Draw an isosceles triangle ABC with BD = CD,

Draw a line segment AD perpendicular to the side BD

Here AD is the height of the triangle which is the altitude of the triangle

From the figure we can see that the length of BD = length of CD

Where D is the mid point of the line BD.

Therefore the line AD is the median of the triangle

Hence, The statement "The median and altitude of an isosceles triangle can be same", is verified by drawing diagram

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Select the correct answer. Which expression is equivalent to , if x ≠ 0 and y ≠ 0? A. B. C. D.
see image below:

Answers

The expression similar to  [tex]\sqrt[3]{56\cdot x^7\cdot y^5 }[/tex] obtained by using the laws of indices is option A.

A. [tex]2\cdot x^2 \cdot y\sqrt[3]{7\cdot x \cdot y^2}[/tex]

What are the laws of indices?

According to some of the laws of indices, we have;

[tex]\dfrac{1}{x^n} =x^{-n}[/tex]

[tex]x^m \cdot x^n = x^{m+n}[/tex]

[tex]\sqrt[m]{x^n} =x^{\frac{n}{m} }[/tex]

The expression can be presented as follows; [tex]\sqrt[3]{56\cdot x^7\cdot y^5 }[/tex]

Simplifying the above expression gives;

[tex]\sqrt[3]{56\cdot x^7\cdot y^5 } = \sqrt[3]{8 \times 7\cdot x^6 \times x \cdot y^3 \times y^2 }[/tex]

[tex]\sqrt[3]{8 \times 7\cdot x^6 \times x \cdot y^3 \times y^2 } = \sqrt[3]{2^3 \times 7\cdot x^6 \times x \cdot y^3 \times y^2 }[/tex]

Collecting terms with an index of a multiple of 3 gives;

[tex]\sqrt[3]{2^3 \times 7\cdot x^6 \times x \cdot y^3 \times y^2 } = \sqrt[3]{2^3\cdot x^6 \cdot y^3 \times 7\cdot x \times y^2 }[/tex]

[tex]\sqrt[3]{2^3\cdot x^6 \cdot y^3 \times 7\cdot x \times y^2 } = 2\cdot x^2 \cdot y \times \sqrt[3]{ 7\cdot x \cdot y^2 }[/tex]

The expression that is equivalent to  [tex]\sqrt[3]{56\cdot x^7\cdot y^5 }[/tex]is option A.

A. [tex]2\cdot x^2 \cdot y \times \sqrt[3]{ 7\cdot x \cdot y^2 }[/tex]

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Ben bowled 151 and 183 in his first two games. What must he bowl in his third game to have an average of at least 1702​

Answers

Answer:

1368

Step-by-step explanation:

let 3rd game be x

151+183+x=1702

334+x=1702

x=1702-334

x=1368

Draw the straight line y=2x-3

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The table is

x   0     1     2

y  -3    -1     1

The graph of the line is given below.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Equation of a line:

y = 2x  - 3

y = 2 x 0 - 3 = -3

y = 2 - 3 = -1

y = 2 x 2 - 3 = 4 - 3 = 1

Table

x   0     1     2

y  -3    -1     1

The graph of the straight line is given below.

Thus,

The table is

x   0     1     2

y  -3    -1     1

The graph of the line is given below.

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What is the slope of a line that is perpendicular to y=4/5x+15 and passes through point (−3, 4)?

Answers

Answer:

Step-by-step explanation:

The slope of the line y = -5x-4 is -5 or -5/1 so the slope of the perpendicular line is +1/5 eg…

y = x/5 + c

To find c we substitute x=15, y=-2

-2 = 15/5 + c

-2 = 3 + c

C = -5

So the equation is

Y = x/5 - 5

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