The first terms of a geometric sequence are as follows.
-810,-270,-90
Find the next two terms of this sequence.
Give exact values (not decimal approximations)

The First Terms Of A Geometric Sequence Are As Follows.-810,-270,-90Find The Next Two Terms Of This Sequence.Give

Answers

Answer 1

The fourth and fifth term of this sequence is -30 and -10 respectively.

Data;

first term (a) = -810common difference (r) = ?

Common Difference

The common difference in a geometric progression is the ratio between two successive terms.

Let's find the common difference in this sequence

[tex]r = \frac{-270}{-810} \\r = \frac{1}{3}[/tex]

The nth term of a geometric sequence is given as

[tex]T_n = ar^n^-^1\\[/tex]

The next two terms of this sequence will be 4th and 5th term.

The fourth term of this sequence is

[tex]T_4 = ar^4^-^1\\T_4 = -810 * (\frac{1}{3})^3\\ T_4 = -810 * \frac{1}{27}\\ T_4 = -30[/tex]

The fifth term of this sequence is

[tex]T_5 = ar^5^-^1\\T_5 = -810 * (\frac{1}{3})^4\\T_5 = -810 * \frac{1}{81} \\T_5 = -10[/tex]

The fourth and fifth term of this sequence is -30 and -10 respectively.

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Related Questions

Factor completely 4x2 − 81. (1 point)

a
(4x − 9)(x + 9)

b
(2x + 9)(2x + 9)

c
(2x + 9)(2x − 9)

d
(2x − 9)(2x − 9)

Answers

Answer:

(2x-9)(2x+9)

Use the difference of square method. square root both sides and the answer has to be in postive and negative

Find the volume of this pyramid, Round to the nearest tenth if necessary.

Answers

pyramide volume = 1/3 x surface of the base x height

= 1/3 x 2 x 2 x 5 ≈ 6,7 ft³

square base

Given k Is parallel to l, what can you conclude about these triangles? Check all that apply. Vertical angles prove Angle1 Is congruent to Angle4. Alternate exterior angles prove Angle5 Is congruent to Angle3. Angle5 and Angle3 are alternate interior angles. The ratios of the corresponding angles are equivalent. The triangles are similar because all corresponding angles are congruent.

Answers

For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.

Vertical angles prove Angle1 Is congruent to Angle4. Angle5 and Angle3 are alternate interior angles.The triangles are similar because all corresponding angles are congruent.

What are the angles formed by the transverse line cut by the transversal?

Angles formed by the transverse line cut by the transversal-

Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.

Given, k Is parallel to l. The image for this problem is attached below.

Let's check all the options-

Vertical angles prove Angle1 Is congruent to Angle4- In the attached image the angle 1 and 4 are equivalent. Thus, this is the correct option.Alternate exterior angles prove Angle5 Is congruent to Angle3- No, they are interior angles.Angle5 and Angle3 are alternate interior angles-This option is also correct, as angle Angle5 and Angle3 are alternate interior angles.The ratios of the corresponding angles are equivalent-No the ratios are not equivalent for the corresponding angles.The triangles are similar because all corresponding angles are congruent-When the corresponding angles are congruent.

Hence, For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.

Vertical angles prove Angle1 Is congruent to Angle4. Angle5 and Angle3 are alternate interior angles.The triangles are similar because all corresponding angles are congruent.

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Answer:

1 3 5

Step-by-step explanation:

A brand new smartphone costs $1200. It decreases in value by 13. 3% every year after its purchase. Which function models the value of the phone x years after its purchase?


Question 8 options:


f(x)=1. 133(1200)x


f(x)=1200(1. 133)x


f(x)=1200(0. 867)x


f(x)=0. 867(1200)x

Answers

The function that models the value of the phone x years after its purchase is y = 1200(0.867)^x

Exponential equations

The standard exponential equation is given as:

y = ab^x

From the given question

a = 1200

b = 1 - 0.133

x is the time

Substitute to have:

y = 1200(1-0.133)^x
y = 1200(0.867)^x

Hence the function that models the value of the phone x years after its purchase is y = 1200(0.867)^x

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Need help with both shown questions! Tysm!!

Answers

Answer:

8) y=10

9) z=4

Step-by-step explanation:

substitute and solve

(2,4);slope=1/2

(-8,-1);slope=-3/4

Answers

Answer:

Step-by-step explanation:

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

  y - 4 = 1/2x - 1

  y = 1/2x + 3

2. y + 1 = -3/4(x + 8)

   y + 1 = -3/4x - 6

  y = -3/4x - 7


Graph the line with slope 3/4
passing through the point (5, -2).

Answers

there is a graphing calculator called desmos hope it helps

I think of a number i multiple it by 5 i then subtract 19 finally i double the result the final number is 22 what number did i think of​

Answers

To solve this problem, you read the problem backwards and to the opposite of that function.

if it says double --> divide by 2        22 / 2 = 11subtract by 19 --> add 19                   11 + 19 =30multiply by 5 --> divide 5                   30 / 5 = 6

Thus the number that is thought of is 6

Hope that helps!

Unknown value: X

(5X-19)*2=22

5X-19=22/2

5X-19=11

5X=30

X=6

Craig lives in a house that is 4 meters below sea level. Craig goes to school every day, which is 10 meters above sea level. How many meters does Craig travel, in altitude, when going from home to school?

Answers

Answer:

14 meters

Step-by-step explanation:

Craig starts at -4 meteres (4 below sea level and sea level is 0) so we add 4 to get to 0.

The school is +10 meters.

4 + 10 = 14 meters

Mario paid $44in taxi fare from the hotel to the airport. the cab charged $2 for the first mile plus $3 for each additional mile. how many miles was it from the hotel to the airport

Answers

Answer: 50

Step-by-step explanation:

2+3=6+44=55

TwT best answer gets brainliest. someone please help ;w; i would really appreciate it. And pls no links and dont answer if you dont actually know the answer

Answers

Answer:

A-B=6

C-D=4

Step-by-step explanation:

which explains whether 18/24 and 63/84 are equivalent fractions ​

Answers

Answer:

Yes they are.

Step-by-step explanation:

18/24 * 3.5/3.5 (which equals 1) = 63/84

so yes

what expression is equivalent to 1.2-(-8)

Answers

Answer:

is1.2-(8)+1.2.8

Step-by-step explanation:

the answer is1.2-(8)+1.2.8

HELP ME PLEASEeEeEeE

Answers

Answer:

7.5

Step-by-step explanation:

Leila was asked to solve the equation ļ (x + 5) = 29. The first step she did to solve the equation was į (x) + }(5) = 29. What property did she use in this step?

1 associative

2 commutative

3 distributive

4 reflexive

Answers

C. Distribute.

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For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. Which equation can be used to find c, the number of student tickets sold?

Answers

Step-by-step explanation:

let c be the number of students tickets and

y the number of adult tickets.

the equations to find these numbers are

c+y=512

5c+10y=3570

Jonathon borrowed $700 from his grandparents to start a lawn mowing business in his neighborhood. After
mowing lawns for a month and paying his expenses, he was able to pay them $177.34. How much does
Jonathon still owe his grandparents?

Answers

Answer:

$522.66

Step-by-step explanation:

Subtract 177.34 from $700

700 - 177.34 = $522.66

Jonathon still owes his Grandparents' $522.66

Hope I helped :)

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Luke bought one hundred thirty two calla lilies for vases to put on tables for a wedding. He needs to divide the lilies among twelve tables. How many calla lilies will be in each vase?

Answers

Answer:

11

Step-by-step explanation:

Why?

Lillies:132

132 divided by 12 is 11

So that means that each vase will give 11 calla lilies each

A ∪ B= {a,b,c,d,e,f} and B= {b,d,f} then, which set presents set A?

Answers

Answer:

set A presents {a,c,e}

convert 62 feet per second to (5280 = 1 mile)

Answers

Answer:

Step-by-step explanation:

if you want to convert to miles per hour, then

in 1 second distance covered=62 ft

In 60 seconds (1 minute) distance covered=62×60=3720 ft.

In 60 minutes (1 hour) distance covered=3720×60 ft=223200 ft

=223200/3=74400 yards

=74400/1760=7440/176=930/22=465/11 miles=42 3/11 miles

62 ft per second=42 3/11 miles per hour.

what is 98 x 47 / 32 x 54?

Answers

Answer:

2837x/16

Step-by-step explanation:

hope this helps - NICK

Answer:

7772.625

Step-by-step explanation:

Given;

[tex]98\times47\div32\times54[/tex]

Solve;

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]Multiply\:and\:divide\:\left(left\:to\:right\right)[/tex]

[tex]98\cdot \:47=4606[/tex]

[tex]=4606\div \:32\cdot \:54[/tex]

[tex]4606\div \:32=\frac{4606}{32}[/tex]

[tex]=\frac{4606}{32}\cdot \:54[/tex]

[tex]=\frac{62181}{8}[/tex]

= 7772.625

~Learn with lenvy~

Work out the fraction that is halfway between 1/3
and
1 1/2
Write your answer in its simplest form.

Answers

Answer:

The fraction that is halfway between 1/4 and 1/2

= (1/4 + 1/2 )/2

= 3/4 ÷ 2

= 3/(4×2)

= 3/8 (final answer)

Answer:

17/12 or 1 5/12

Step-by-step explanation:

Fraction halfway between refers to the mean of the two fractions.

1/3 + 5/2 / 2

2/6 + 15/6 / 2

17/6 / 2

= 17/12 or 1 5/12

Anna has $2.53. How much money will Anna have left if she buys a bright yellow highlighter and a thin blue marker?

thin green highlighter $0.35
package of crayons $0.61
thin blue marker $0.80
bright yellow highlighter $0.74

Answers

Answer:

$0.99

Step-by-step explanation:

A thin blue marker = $0.80

A bright yellow highlighter = $0.74

First, find the total cost of these two products. Add the costs together:

0.80 + 0.74 = 1.54

Anna has $2.53 in all. Subtract 1.54 from 2.53:

2.53 - 1.54 = $0.99

Anna will have $0.99 left.

~

The answer is $0.99
Just do it like this
2.53 - 0.80 - 0.74 = 0.99 and that’s it

A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf underclassmen students have in a one week period. We know from preliminary studies that the standard deviation is around 2. 8. How many students should be sampled to be within 1. 5 drink of population mean with 90% probability?.

Answers

Answer: 16

Step-by-step explanation:

Standard deviation is 2

Margin error for the problem is 1

Probability 95%, that means thet the siginficance level α is 1 – p

α = 1 – 0.95 = 0.05

margin of error (ME) can be defined as follows

ME = Z(α/2) * standard deviation/ √n

Where n is the sample size

Z(0.05/2) = Z(0.025)

Using a z table Z = 1.96

Now, replacing in the equation and find n

1 = 1.96 * 2/ √n

1 = 3.92 / √n

√n = 3.92

n = 3.92^2

n = 15.36 = 16

i hope this work for you

A club of 50 students is doing volunteer. Each student is volunteering at one of four location. 14 at the hospital, 15 at the pet shelter, 8 at tutoring, 13 at library. What is the probability that the first student volunteers at the library and the other two do not?

Answers

Answer:

The probability is 0.1473

Step-by-step explanation:

Given;

total number of students, n = 50

number at hospital, h = 14

number at pet shelter, p = 15

number at tutoring, t = 8

number at library, L = 13

If three students are chosen at random without replacement, the number of students that will be selected to work in other location is given by;

50 - 13 = 37 students

The probability that the first student volunteers at the library and the other two do not is given by;

P(13 students at library) x P(2 out of the 37 students did not)

[tex]= (\frac{13}{50})(\frac{37}{49})(\frac{36}{48} )\\\\ = 0.1473[/tex]

An algebra tile configuration. 0 tiles are in the factor 1 spot and 0 tiles are in the factor 2 spot. 20 tiles are in the product spot: 1 is labeled x squared, 8 are labeled negative x, and 16 are labeled . the geometric model represents a perfect square trinomial. use the drop-down menus to identify the two factors. factor 1 = factor 2 =

Answers

A quadratic equation is written in the form of ax²+bx+c. The factors of the given tile configuration are (x-4).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

In order to write the algebra tile configuration of the given problem, we need to convert sentences one by one. Therefore, the description can be converted as,

1 is labelled x squared, x²8 are labelled negative x, -8xand 16 are labelled. 16

Now, adding all the tiles configuration together we will get,

[tex]x^2 - 8x + 16[/tex]

As we got the quadratic equation now, the roots of the quadratic equation can be written as,

[tex]x^2 - 8x + 16 = 0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4^2)=0[/tex]

Thus, the factors of the given tile configuration are (x-4).

Learn more about Quadratic Equations:

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what is the area of this shape?

Answers

should be 264Here is why I say that.

Width Bottom = 8 sq units

Width Top = 4 sq units

Height right = 9 sq units

Height left = about 13 sq units

Add the width and height to lessen the values.

[tex](8 + 4)\\(9 + 13 )\\8 + 4 = 12\\9 + 13 = 22[/tex]

Third, multiply height times width.

[tex]12 * 22 = 264[/tex]

Therefore, the area of this shape should be 264, according to my logic.

Please let me know if you need anything else!

Noel is a computer repairman. To fix a computer, he charges a customer $40 per hour, plus a fixed fee of $15 for the service call, as represented by the function f(x) = 40x + 15. In the equation, what is represented by the variable x?​

Answers

Step-by-step explanation:

4ox+15=60min

40x=60-15

40x=45

40   40

x=1.125

test it 40(1,125)+15=60

Don and Linda would like to replace the hardwood flooring in their dining room. The flooring sells for $15.75 a square foot installed. The room size is 15 feet wide by 22 feet long. They can make a 20% down payment but will need to finance the rest at 12% for 42 months

a. What is the down payment?
b. What is the amount financed?
c. What is the monthly payment?
d. What is the total finance charge?

Answers

Answer:

a)  Down payment = $1039.50

b) Amount financed = $4158

c) Monthly payment =  $121.73

d) Total finance charge = $5112.66

Step-by-step explanation:

Area of rectangle = width × length

⇒ area of room = 15 × 22 = 330 ft²

Given:

cost of flooring = $15.75 per ft²

⇒ Total cost of flooring = area × cost = 330 × 15.75 = $5197.50

a)  Down payment = 20% of $5197.50

                              = 0.2 × 5197.50

                              = $1039.50

b) Amount financed = total cost - down payment

                                 = 5197.50 - 1039.50

                                 = $4158

c) Monthly payment = [tex]\dfrac{4158 \cdot \frac{0.12}{12}(1+\frac{0.12}{12})^{42}}{(1+\frac{0.12}{12})^{42}-1}[/tex]=  $121.73

d) Total finance charge = monthly payment × number of months

                                       = 121.73 × 42

                                       = $5112.66

whats the infinitely, one, no solution

Answers

Answer:

Step-by-step explanation:

The infinite solution is when the equation equals something like this:

10 = 10

2 = 2

586 = 586

One solution is when the answer to an equation is something like this

x = 4

x = 17

y = 657

y = 7

No solution is when the equation 'doesn't make sense' or something:

4 = 10

17 = 64

6 = 9

Hope I helped :)

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