Complete the recursive formula of the geometric sequence 27,−9,3,−1,

Answers

Answer 1

Step-by-step explanation:

a1 = 27

r = -9/27 = -⅓

the formula :

an = a1. r^(n-1)

= 27. (-⅓)^(n-1)

= 3³(-3`¹)^(n-1)

= 3³(-3)^(1-n)


Related Questions

How can the logarithmic expression be rewritten? Select True or False for each statement. Statement True False 4 log3 c + 4 log; d = log2 (cd)* å (In a + In b) = ln Va464 3 Ine + 2 ln $ = In ( ) 0​

Answers

Answer:

TrueFalse False

Hope it helps :)

The first two logarithmic expressions are true and the third one is false.

What is a logarithm?

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].

= [tex]log_3(cd)^4[/tex] it is true.

[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].

= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.

[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].

= [tex]ln(e^3f^2)[/tex] it is false.

learn more about logarithms here :

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G(x)=3/x find g'(x) a) by using the quotient rule: b) by first rewriting the expression using exponents and then differentiating.

Answers

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

Pick all the names for this shape. Sides that appear to be parallel are parallel

A. Parallelogram
B. Rectangle
C. Trapezoid
D. Quadrilateral

Answers

Answer:

I would say a parrallelogram

Step-by-step explanation:

Square the binomial: (4x-5)^2

Answers

I think it is
16x2+40x+25

Answer:  16x^2 - 40x + 25

Step-by-step explanation:

HELP ASAP MY TEST IS 45 MINUTES HELP
Solve the proportion.
a) x = 8
b) x = 7
c) x = 6
d) x = 5

Answers

Answer:

C is the answer

Step-by-step explanation:

1.

x/9=8/12

2. First simplify the equation

8/12=4/6=2/3

3. Find the factor

9

3*3

9*1

4. Multiply by 3/3

2/3*3/3=6/9

So, 6 is the answer

Hope this helped,

Kavitha

Answer: C. x=6

Step-by-step explanation: x/9=8/12

8/12/2/2=4/6/2/2=2/3

2×9/3

18/3

x=6

​  

 

Re-write the quadratic function below in Standard Form
y = -4(x – 7)(x - 1)

Answers

Step-by-step explanation:

y = -4(x – 7)(x - 1)

= -4(x²-8x+7)

= -4x²+32x-28

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
x2 – 14 = 2x – 14

Answers

Answer:

y=(x-1)^2 -1

Step-by-step explanation:

If you put it in the form (x-a)^2=b

The answer will be (x-1)^2=1

If 8 cents are needed to buy 10 pebbles, how many dollars are needed to buy 205 pebbles?

Answers

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen).

What is the probability that tara first paints her bedroom green?



ASAP!!!!!

Answers

im going to guess it's [tex]\frac{1}{4}[/tex]

A spinner has two colored regions — purple and orange — and is divided in such a way so that the probability that the spinner lands on purple is 0.9. Suppose we spin the spinner 12 times and let X = the number of times it lands in the purple region.

Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.

μx =

σx =

Answers

Answer:

The answer is "32 and 4.6648".

Step-by-step explanation:

binomial distribution of x

probability of sucess[tex](P)=32\%=0.32[/tex]

randomly selected number by giraffes [tex]n=100[/tex]

now

[tex]\mu_x=np\\\\[/tex]

    [tex]=(100)(0.32)\\\\=32\\\\[/tex]

[tex]\Sigma_x=\sqrt{np(1-p)}[/tex]

     [tex]=\sqrt{100(0.32)(1-0.32)}\\\\=\sqrt{21.76}\\\\= 4.664761\\\\=4.6648[/tex]

Answer:

10.8

1.0392

Step-by-step explanation:

for the shape of the probability histogran it is D) Skewed left

A shelf is built on a wall, as shown below. What is the value of x?

Answers

Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

Chuck has 20 pieces of candy in a bag: 8 mint sticks, 2 jelly treats, and 10 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will both be mint sticks?

Answers

The answer is 16% because if you add all those candies up you’ll get 50 and 8/50 as a percentage is 16%

Tornadoes usually come from a part of the storm that is low to the ground. *

True
or
False

Answers

Answer:

false

Step-by-step explanation:

they form when winds conbine a certain way

equivalent fractions,please help me!!

Answers

Answer:

54/81 is the answer

Step-by-step explanation:

Select the correct answer.
Which equation represents a function?

Answers

Answer:

D

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
4x2 + 21x + 5
A. 4x + 5
B. 4x-1
C. 4x + 1
D. 4x - 5

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 4x+1

Step-by-step explanation:

A tutor charges $5 for each class he takes per day that lasts for an hour. For each additional hour he tutors he charges $3.
Match the number of hours he tutors for in the first column with the money he makes from it.
4
2
DRAG & DROP THE ANSWER
܃ ܃ ܃ ܃
$14
5
$17
3
$11
$20

Answers

Answer:

4, $17

2, $11

Step-by-step explanation:

Given data

Charge= $5

Additional Charge= $3 per hour

The total charge will be

y= 5+3x

Number of hours

1. for  4 hours

The total will be

y= 5+3(4)

y= 5+12

y= $17

2. for  2 hours

The total will be

y= 5+3(2)

y= 5+6

y= $11

3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Answers

Answer: =12x+9y

Step-by-step explanation: Hope this help :D

Overnight, a pipe cracked and started to leak into a basementThe graph shows the depth of the water in relation to time
A.) How many inches does the water rise each hour?
B.) How deep is the water after four hours?
C.) How long will take for the water to reach a depth of 80 inches?

Answers

Answer:

Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.

A tailor needs to make uniforms for 32 students from a piece of cloth. If the length of that piece 45 3/4m and each student requires 1 1/8m, calculate the length of cloth that would be left

Answers

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

when a number is doubled and then eight added it became 60 what is the number​

Answers

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Let the number be x.

Now,

2x + 8 = 60

2x = 60 - 8

x = [tex]\dfrac{52}{2}[/tex]

x = 26

Hence, the number is 26.

PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST

Answers

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

What segment has a length of 10 units?
(3,4) to (30,40)
(0,0) to (10,10)
(-1,-2) to (9,-2)
(-2,8) to (-3,7)

Answers

the 1st one, (3,4) to (30,40)

consider the first six terms
in the sequence -11,-4, 3, 10, 17,24

Answers

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

If this has helped you please mark as brainliest

Factor the expression.

10g3 + 15g2 – 12g – 18


(5g2 + 6)(2g – 3)


(5g2 + 3)(2g – 6)


(5g2 – 3)(2g + 6)


(5g2 – 6)(2g + 3)

Answers

Answer:

Hopes this helps!!!!!!! :D

Step-by-step explanation:

48g-1820g^2-18g-1820g^2-54g-1820g^2+54g-1820g^2+18g-18

All i did was plug in the problems to the caluculator lol

Find the vertices of the hyperbola. Enter the smallest coordinate first.

Answers

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]

The vertices of an hyperbola (of the form)  [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

HELP PLSPLSPSL check image

Answers

Answer:

D

Step-by-step explanation:

a puzzle is shown below. what is the area of the shaded portions of the puzzle?

Answers

Answer:

it's a parallelogram

Step-by-step explanation:

May ot helpful

Why is 6/5 not equivalent to 3/2

Answers

Answer:

It is the first choice

Step-by-step explanation:

[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]

The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence  6/5 is not equivalent to 3/2, so option A is correct.

What is the ratio?

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

6 / 5 and 3 / 2

As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,

(3 × 2 ) / (2 × 2)

6 / 4

But the result came as 4 on the numerator,

Thus, 6 / 5 and 3 / 2 are not equivalent.

To know more about Ratios:

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4.Maria tossed a coin three times. She wrote
a list of her possible outcomes. How many
outcomes on her list had at least one Tail?


A. 1
B. 3
C. 7
D. 8

Answers

Answer:

(a) 1

Step-by-step explanation:

In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:

HHHHHTHTHHTTTHHTHTTTHTTT

We see that the only option without one tail is the first one, HHH, so the answer is (a) 1.

Other Questions
Scientific management were more concerned with the problems at the.........a. operational b.High level The Town of Drexel has the following financial transactions. Prepare the journal entries necessary for the preparation of fund financial statements.1. The town council adopts an annual budget for the general fund estimating general revenues of $1.7 million, approved expenditures of $1.5 million, and approved transfers out of $120,000. 2. The town levies property taxes of $1.3 million. It expects to collect all but 3 percent of these taxes during the year. Of the levied amount, $40,000 will be collected next year but after more than 60 days. 3. The town orders two new police cars at an approximate cost of $110,000. 4. A transfer of $50,000 is made from the general fund to the debt service fund. 5. The town pays a bond payable of $40,000 along with $10,000 of interest using the money previously set aside. 6. The Town of Drexel issues a $2 million bond at face value in hopes of acquiring a building to convert into a high school. 7. The two police cars are received with an invoice price of $112,000. The voucher has been approved but not yet paid. 8. The town purchases the building for the high school for $2 million in cash and immediately begins renovating it. 9. Depreciation on the new police cars is computed as $30,000 for the period. 10. The town borrows $100,000 on a 30-day tax anticipation note. A 10 foot ladder is leaning against a building. It forms a 30 degree angle with the ground. How far away from the building is the foot of the ladder? Round your answer to the nearest hundredth. 5 feet, 5.77 feet, 8.66 feet, or 20 feet Eight members of a school marching band are auditioning for 3 drum majorpositions. How many ways can students be chosen to be drum major?* A baby weighed 96 ounces at birth. Eight days later the baby weighed 120 ounces. 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CORRECT ANSWER + EXPLANATION REQUIRED FOR BRAINLIEST. NO LINKS OR FAKE ANSWERS! IF YOU PUT A LINK OR FAKE ANSWER I WILL REPORT YOU!!!look at the photos for question, diagram, and answer choices :) Find the perimeter of ahexagon with each sidemeasuring 184 ft.? 1.How many moles of each element are in 0.0250 mol of K 2 Cr O 4? 2. How many moles of ammonium ions are in 4.50 mol of (N H 4 ) 2 CO 3 ? With all the process to see where you get the answers please The Internal Revenue Service (IRS) is the federal government agency responsible for (5 points) Group of answer choices Filling out your tax forms Writing tax laws Tax collection and tax law enforcement Keeping the unemployment rate low