how to find r in a geometric sequence calculator

Answers

Answer 1

Step-by-step explanation:

We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.


Related Questions

CARD #2:
Bobby says the
dilation can be
represented by
(x, y).
A figure on a
coordinate plane is
dilated. Point A(3,9)
is dilated to A'l, 3).
Betty says the
dilation can be
represented by
(3x, 3y).

Answers

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.

how many 7 digit numbers are there where all the digits are different and are in increasing order

Answers

Answer:

  36

Step-by-step explanation:

Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...

  123456789

We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.

There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.

__

Additional comment

The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...

Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)

Answers

Answer:

y = -29/19  and x = -44/19

Step-by-step explanation:

3x + 2y = -10    multiply by -2  ⇔    -6x -  4y = 20

2x - 5y = 3       multiply by 3   ⇔      6x - 15y = 9    

Add the two equation                             -19y = 29

                                                                       y =  -29/19

Use equation one and solve for x

3x + 2(-29/19) = -10

3x - 58/19 = -10

3x = -10 + 58/19

3x = -190/19 + 58/19

3x = (-190 + 58)/19

  3x = -132/19

    x =  - 132/ 19 ÷3                           [tex]\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}[/tex]

    x =  -44/19

How many 1/2 -yard lengths are in 1 yard?

Answers

If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1

FACTORIZE :-
3x³y( x-3y ) - 7x²y² ( x-3y )​

Answers

3x³y(x - 3y) - 7x²y² (x - 3y)= (x - 3y)(3x³y - 7x²y²)= (x - 3y)[x²y(3x - 7)]= x²y(3x - 7)(x - 3y)

Answer:

x²y(3x - 7)(x - 3y)

Hope you could get an idea from here.

Doubt clarification - use comment section.

X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?

Answers

Answer:

24

Step-by-step explanation:

We have a system of equations, so we can start with the second equation:

[tex]x-y=2[/tex]

And move y to the other side to isolate x:

[tex]x=2+y[/tex]

Now we can replace x into the first equation:

[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]

Notice that we can cancel out the y squared terms:

[tex]4+4y=48\\ 4y=44\\ y=11[/tex]

Now we just need to find x by replacing y into the second equation:

[tex]x-11=2\\ x=13[/tex]

And finally, add them:

[tex]x+y=11+13\\ x+y=24[/tex]

Hope this helps.

Answer:

x= 13

y=11

x^2 - y^2 = 48        and       x - y = 2

                                           x = 2 + y

(2 + y)^2 - y^2 = 48

(2 + y) (2 + y) - y^2 = 4

(4 + 2y +2y + y^2) -y^2 = 48

4 + 4y + y^2 - y^2 = 48

4 + 4y = 48

4y = 48 -4

4y = 44

y= 44/4

y= 11

Plug y back into the original equation:

x^2 - y^2 = 48

x^2 - 11^2 = 48

x^2 - 121 = 48

x^2 = 121 + 48

x^2 = 169

The square root of 169 is 13

So x= 13

x + y

13 + 11 = 24

What is the image of the point (−7,−3) after a rotation of 9 0 ∘ counterclockwise about the origin?

Answers

It is best to use graph paper to visualise. A(-7, 9) is in 2nd quadrant, rotating 90 CCW brings the point in the 3rd quadrant to (-9, -7)

in general P (a, b) CCW P’(-b,a)

Which graph represents the equation y= −4/3x − 2

Answers

Answer:

  C -- see attachment

Step-by-step explanation:

The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.

The graph shown in the attachment is the one you're looking for.

_____

Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.

Write an integer for each situation
1. A deposit of $40
2. A loss of 20 pounds

Answers

1.) +40
2.) -20

1.) A positive increase occurs; the rise of a value.

2.) A negative decrease occurs; a loss of a value.

When solving an equation, Gabrielle's first step is shown below. Which property
justifies Gabrielle's first step?

Original Equation:
3(x + -3) = -1

First Step:
3x + -9= -1

1. associative property of multiplication

2. division property of equality
distributive property of multiplication over addition

3. subtraction property of equality

Answers

Answer:

i think 2. division property of equality

distributive property of multiplication over addition

Does the point (4, 8) satisfy the equation y = 2x?

Answers

Answer:

Yes

Step-by-step explanation:

You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.

y=2(4)

y=8

Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.

What type of function is represented in the table? exponential linear quadratic logarithmic

Answers

linear because each input and output are different

2022 EDGE ASSIGNMENT

Modeling Functions Using Finite Differences

1. C

2. A, E

3. B

4. B, D

5. D

6. A

7. B, F

Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?.

Answers

The range of the relation will be expressed as 0 ≤ g(x) ≤ 120

Let the number of lessons he gives be x

If he earns $20 for each piano lesson, the amount he will earn on x lessons will be $20x

Writing this as a function will give:

g(x) = 20x

where g(x) is the range of the relation.

If he has between 0 and 6 lessons each evening, the corresponding range at x = 0 and x = 6 is given as;

g(0) = 20(0) = 0g(6) = 20(6) = 120

Therefore the range of the relation will be expressed as 0 ≤ g(x) ≤ 120

Learn more on range of a function here: https://brainly.com/question/10878781

Answer: {0, 20, 40, 60, 80, 100, 120}

Step-by-step explanation: Remember we only use inequality signs for continuous relations with an infinite amount of values or data points or values or points. When we're given a set finite amount of data points we use brackets for this data because it is a discrete relation.

And for this problem we're looking for the range of the relation and recall the range is the dependent values or variables that depend on the domain or independent variables. The amount of money he earns depends on the amount of hours he works. Hence, the range is {0, 20, 40, 60, 80, 100, 120} the amount of possible money he can earn.

(x+5)²=
(5x+9)²=
(10x²+12)²=
(x³+2x)²=

Answers

just use a calculator

The diagram shows a cube with sides of length 8 meters. A smaller cube with
sides of length 3.5 meters has been out out of the larger cube.
a) Find the volume, in cubic centimeters of the large aube before the
small cube is out out. Write your answer in scientific notation
Find the volume of the solid after the small cube is removed. Write your
answer in scientific notation. Round the coefficient to the nearest tenth

Answers

Answer:

a) 512 cm^3

b) 469.125 cm^3

Step-by-step explanation:

8*8*8 = 512 cm^3

or

8^3 = 512 cm^3

3.5^3 = 42.875

512 - 42.875 = 469.125 cm^3

You can round the second answer down

Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c

Answers

Answer:

y = 2x + 9.

Step-by-step explanation:

Using the point-slope form:

y - y1 = m(x - x1)   where m = the slope and (x1, y1) is a point on the line.

So here we have:

y - 1 = 2(x - (-4))

y - 1 = 2(x + 4)

y - 1 = 2x + 8

y = 2x + 9.

what is 3 3/4 + 2 5/7

Answers

Answer:

6 13/28

Step-by-step explanation:

Hope this helps!

.guys can you solve anything please ​

Answers

Answer:

3.a)2[tex]\sqrt[3]{2}[/tex]

5.a) x=2

Step-by-step explanation:

Answer:

1. If 3^x = 1 then x =0

Step-by-step explanation:

3^0 = 1

3. 2, 9 3, 7, 5, the median is 5

4.3,5,3,4,3 the mode is 3

5. A cube whose volume is 8^3 =(512cm^3)

3. B

PLEASE help



520
38°
220°
X = degrees

Answers

Step-by-step explanation:

by complete angle

x+38+52+220=360

x+310=360

x=360-310

x=50

Make x the subject of the formula x/a 2 + 3 b = 2 c

Answers

Answer: x=-3ab/2+ac

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

How would you write "there were 3 times as many baby dinosaurs as adult dinosaurs" as an algebraic equation where x = baby dinosaurs and y = adult dinosaurs?

Answers

x = 3y

hope it helped!

Step-by-step explanation:

x = 3y

or y = x/3

bottom line : there are three times as many x as there are y. or the number of y is 1/3 of x.

what is the sum of the rational expressions below 2x+5/9x+4x/x-3

Answers

Answer:

23x + 9

 ———————

    9  

Round 1.09 to the nearest whole number.

Answers

Answer:

1

Step-by-step explanation:

1.09 is in between the whole numbers 1 and 2. it is closer to 1 since the tenths digit (0) is less than 5. if it were 5 or greater, then we would round up to 2.

Answer:

1

Step-by-step explanation:

1.09 is closer to 1 than 2, therefore the whole number is 1.

If you were counting people or objects, well you can't have 9/100 as a person so you'd round to 2. But in this case, round to 1!

I hope this helped :)

Need helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

y=2x+10

Step-by-step explanation:

the picture has the answer

Find the value of x, y, and z.

Answers

x is 90 degrees
i don’t know what the rest are

what is 8 1/5 as a improper fraction

Answers

Answer:

41/5

Step-by-step explanation:

So the answer is that 8 1/5 as a decimal is 8.2.

We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.

FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.

Answers

Answer:

Step-by-step explanation:

8 lbs of apples on the x-intercept

10lbs of peaches on y-intercept

HELP PLEASE..........

Answers

Answer:

19.47

Step-by-step explanation:

Use the law of sines.

sin(90)/6 = sin(x)/2

Multiply both sides by 2

2 * sin(90)/6 = sin(x)

Use a calculator

0.33333 = sin(x)

sin^-1 0.3333 = 19.47

Without doing any calculations, is positive or negative?

Explain your reasoning.

Answers

Is WHAT positive or negative?

Answer:

what is positive or negative???

What is the value of x in the equation 2
(4x+)-(3x+2)- 8(9-x) = x

Answers

Answer:

open the bracket

(4X+)-3X-2-72+X=X

4X+(-3X)-74+X=X

X-74+X=X

2X-74=X

then collect the term

-74=X-2X

-74=-X

divide by negative every side then you get

X=74

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