Which rule best describes the pattern?
3, 9, 27, 81, ___, ____, ___
A. Add by 6
B. Add by 6, add by 18
C. Divide by 3
D. Multiply by 3

Answers

Answer 1

Answer:

D. Multiply by 3

Step-by-step explanation:

Given:

A sequence 3,9,27,81,__,__,__

To find:

Pattern

Notice that if you keep multiplying by 3:

3*3 = 99*3 = 2727*3 = 81

Then you will get exact sequence as given, so next 3 missing terms have to be:

81*3 = 243243*3 = 729729*3 = 2187

Hence, the pattern for this sequence is to multiply by 3.

Note

This given sequence is called Geometric Sequence, a sequence with common ratio.Common Ratio can be found by dividing next term with previous term. (I.e. 9/3 = 3 so a common ratio for this sequence is 3)By multiplying previous term with a common ratio, you get the next term.


Related Questions

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.

Answers

Answer:

The answer is C

Step-by-step explanation:

look at attachment hurry

Answers

Answer:

the top one on the right

Step-by-step explanation:

i used desmos graphing calculator

What percent of the utterances in the sample need to be 1 word in length in order to use Nelson's or Bloom's One-Word Utterance Analyses

Answers

The percent of the utterances in the sample need to be 1 word in length is 13.3%.

How to calculate the percentage?

Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.

Therefore, the percentage will be:

= 1 word/Total words × 100

= 12/90 × 100.

= 13.3%

In conclusion, the percentage is 13.3%.

Learn more about percentages on:

https://brainly.com/question/24877689

An airplane flies with a constant speed
of 680 miles per hour. How long will it
take to travel a distance of 2720 miles?

Answers

4 hours

T= d/s

= 2720/680

= 4

Hope this helps!

A 48-fluid-ounces container of orange juice costs $.2.40.A 60-fluid -ounces container of orange juice costs $3.60.Which is the better coast

Answers

Answer:

48/2.40    =    60/360

Step-by-step explanation:

do a proportion chart

help!!!!!!! hurry and help me pls!

Answers

Answer:

(2, 4)

Step-by-step explanation:

A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).

"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples

Answers

Answer:

Not true.

Step-by-step explanation:

A  rational function is like P(x) / Q(x) where P and Q are polynomials.

Examples would be x^2 / (x^2 - 2)  and  x^2 / (x^2 + 2).

Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.

The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this  is all real numbers ,  and  no asymptotes.

Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!

IMAGE DOWN BELOW!!

Answers

the answer would be 7

Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth if necessary.

I'm going to keep asking because I have no clue how to solve these

Answers

Answer:

219.8 yd

Step-by-step explanation:

Circumference Formula= πd or 2πr

Plug in the values. The diameter of this circle is 70 yds.

70(3.14) (replace 3.14 for π)

70*3.14=219.8 yds

Hope this helps ^^

Which object would weigh closest to 1 ton? A.Car B.Toothbrush C.Notebook D.Dog​

Answers

A, because a car is heavy think about it like this you can pick up every other thing with ease you cannot pick up a car with ease

3. Write 6x - 2y = 0 in slope-intercept form, if possible.

Answers

Answer:

y=3x

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

subtract 6x to the other side

divide by -2

there is no y-intercept because it's 0

a. translation; four units right and six units down
b. translation; four units left and six units down
c. rotation; 90 degrees
d. reflection; across y=-4

Answers

Answer:

b. translation; four units left and six units down

posting this again please help^

Answers

I have no idea thank me for my help

a certain number is added to 6 and then divided by 10. The result is 3. Find the number​

Answers

Answer:

let the number be x.

(x+6)/10 = 3

x+6 = 30

x =24

Evaluate 49x - 2 when x = 1

Answers

Answer:

49(1) - 2 =

49x1=49

49 - 2 = 47 is your answer

Answer:

47

__________________________________________________________

Solve

If the variable, x has an assigned value, you must multiply the number behind x by the assigned value.

[tex]49 * 1 = 49[/tex]

Lastly, subtract by 2

[tex]49 - 2 = 47[/tex]

________________________________________________________

Questions?

Ask me in the comments box.

Find the area of the figure. Use 3.14 as π.

Answers

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

      Area of a circle:

A = πr²

      Use 3.14 for pi:

A = (3.14)r²

      Find the radius:

d / 2 = r, 10 / 2 = 5 in

      Subsittue:

A = (3.14)(5)²

A = 78.5 in²

      Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

      Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

Answer:

D. 94.25

Step-by-step explanation:

Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle

The formula for the area of a triangle is: base x height x 1/2

11 x 10 x 1/2 = 55

To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14

So the radius is 5 since 10 is the diameter of the circle

Now we have to square that which is 25

Multiply 25 by 3.14 which is 78.5

Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25

Now you have to add those two areas and that will get your final answer

55+39.25 is 94.25

So the area for this figure is 94.25 square inches

find a, b, and c please and thank u

Answers

A=80
B=100
C= 11
Is this the I-ready

Which expressions are equivalent to In e?

Answers

Answer:

1

log 10

Step-by-step explanation:

In e = 1

In e = log 10

Hope it helps you in your learning process.

Please help me with this!

What is the distance between ( − 2 , − 4 ) and ( 5 , 7 ) ? Use the distance formula, d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .

4.24
6.32
10.25
13.03

Answers

Answer:

13.03

Step-by-step explanation:

Suppose ( x₁ , y₁ ) =  ( − 2 , − 4 )  and  (x₂ , y₂ ) = (5 , 7)

In the formula  :  d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]

Just replace x₁ by -2

       replace y₁ by -4

       replace x₂ by 5 

       replace y₂ by 7

We get ,

d = √ [( 5− (-2) )² + ( 7 − (-4) )²]

Then

d = √ [(7 )² + ( 11 )²]

d = √ [49 + 121]

d = √ [170]

  ≈ 13.03

Einstein's theory of Relativity E=mc²​

Answers

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2. The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.

Answer:

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.

The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries. 

×

E=mc2

In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.

The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."

Write a second equation for the system so it has infinitely many solutions.

Write a second equation whose graph goes through (0,2) so that the system has no solutions.

Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).

Answers

Answer:

See below ↓

Step-by-step explanation:

Our equation :

y = 3/2x - 3

(A) Infinitely Many Solutions

y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions

(B) No solution

y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution

(C) One solution at (4, 3)

x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solution

A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?

Answers

Answer:

Step-by-step explanation:

Givens

These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.

x1  = - 1

x2 = m

y1 = - 2

y2 = 10

Second line formula for m

m = (y2 - y1) / (x2 - x1)            Substitute values for this equation

Solution

Note that the m you seek is both the slope of the second line, and the x  coordinate of one of the points.

m = (10 -  - 2) / (m - - 1)           Change the double minus, and combine

m = 12 / (m + 1)                       Multiply both sides by (m + 1)

m(m+1) = 12                             Remove the brackets

m^2 + m = 12                          Subtract 12 from both sides.

m^2 + m - 12 = 0                    Factor

(m + 4)(m - 3) = 0

We are told that m >0

So m- 3 = 0

m = 3

Answer

The value for m = 3. The first line also has a slope of 3

If V(-5, -2) is
reflected in the line
y = -6, what are
the
coordinates
of V?

Answers

Answer:

(-5, - 10 )

Step-by-step explanation:

y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6

under a reflection in this line the x- coordinate of the point V is the same

V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6

the reflected point will therefore be 4 units below y = - 6, that is - 10 , then

V (- 5, - 2 ) → V' (- 5, - 10 )

A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.

Answers

Answer:

497 m

Step-by-step explanation:

Use tigonometry to find the value of d

sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)

Answer:

497 m (nearest whole number)

Step-by-step explanation:

As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.

Sine trigonometric ratio

   [tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

From inspection of the given diagram:

[tex]\theta[/tex] = 38°O = 306 mH = d

Substitute the values into the formula and solve for d:

[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]

[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]

[tex]\implies \sf H=497.0263891...[/tex]

Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).

The table is shaped like a trapezoid. The sum of the lengths of both bases is 90 inches. The area is
1,170 square inches. Write an equation to find the height of the table.
HELPP

Answers

Answer:

Step-by-step explanation:

Formula (Normal Area Trapezoid)

A = (b1 + b2 ) * h / 2

Formula (Trapezoid Modified for the question)

b1 + b2 is given as 90

Area = 90*h / 2

Givens

b1 + b2 = 90

Area = 1170

h = ?

Solution

Area = 90 * h / 2               Substitute  the givens into the formula

1170 = 90 * h/ 2                 Divide by 2 on the right.

1170 = 45 * h                      Divide both sides by   45

1170 / 45 = 45 * h/45

Answer: h = 45 inches.

A textbook store sold a combined total of 255 sociology and physiology textbooks in a week. The number of sociology textbooks sold was two times the number of physiology textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

75 physiology Textbook was sold and 150 sociology textbook was sold

Step-by-step explanation:

Let x represent textbook

2x + x = 225

⇒3x = 225

⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]

⇒x = 75

75 textbooks for physiology

To find How many textbook for sociology

Multiply 2 by the amount of physiology

⇒2 × 75

⇒150 sociology textbook

Please help me with this problem I’m very confused and cannot figure it out

Answers

There has to be a common denominator in order to add fraction.
1 / a + b and 5 / 2 ( a + b)

the common denominator would be 2(a+b) therefore multiple thé first fraction by 2, and the second by 1.

2 / 2(a + b) + 5 / 2(a + b)

2 + 5 = 7
the denominator stays the same
so 7 / 2(a + b)

one side of a triangle is 8 inches long and another side is 4 inches long. The third side is opposite an obtuse angke. What is a possible length of the third side? Explain​

Answers

Answer:

it should be over 8 inches long

Step-by-step explanation:

by the instructions

a side of a triangle is 8 inches and other one is 4 inches

and the OPPOSITE of OBTUSE angle is the 3 Rd one

As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.

PLEASE HELP!! 50 POINTS!!

Answers

Part A

[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]

Part B

Some common choices for base:

2310

Part C

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]

1.58 is the value when rounded to nearest hundredth.

how do i find the vertex of y= -4x^2-16x+1 ?

Answers

Answer:

(-2, 17)

Step-by-step explanation:

the first step you can do to find the vertex is to find the axis of symmetry

the equation for that is -b/2a

-(16) / 2(-4)

-16 / 8 = -2

the axis of symmetry is x =-2 so you plug in -2 to the equation

-4(-2)^2 - 16(-2) + 1

-4(4) + 32 + 1

-16 + 33

17

the vertex is (-2, 17)

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