If 8,a,b,27 are in geometric sequence, find the value of a and b.​

Answers

Answer 1

Answer:

a = 12 and b = 18

Step-by-step explanation:

Given that,

8,a,b,27 are in geometric sequence.

For a GP, the nth term is given by :

[tex]a_n=ar^{n-1}[/tex]

Put n = 4

[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]

Put n = 2,

[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]

Put n = 3

[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]

So, the values of a and b is 12 and 18 respectively.


Related Questions

ASAP pls ...............

Answers

Answer:

36%

Step-by-step explanation:

There are 25 muffins 9 are carrots so that would mean the equation would be 9/25. Since this is a percentage we would change 25 to 100 by multiplying by 4 and multiplying the top by 4 as well which will result in 36/100 or 36%.*hope this helps*

What is the answer to the equation 3 1/5 +n=9?

Answers

Answer:

n= 5 4/5

Step-by-step explanation:

3 1/5+5 4/5=9

Hisoka
Is hot ngl hishuanufi con la Gil y shiluga

PLEASE HELP DUE IN 2 HOURS AND EXPLAIN STEP BY STEP SO I CAN EASILY UNDERSTAND PLEASE ​

Answers

They are vertical angles meaning they both have the same angle thus you can set the two equations equal to each other

9y+7 = 2y+28

Solve for y

Plug your y into one of the equations and you’ll get your angle

Let f(x) = 2x – 1 and g(x) = 3x
Find g(f(x))

Answers

6x-3

You have to put f(x) into g(x) to find the answer, so you rewrite it like this: 3(2x-1)

Can someone help me pls I need help pls help

Answers

Answer:

A or B

Step-by-step explanation:

Answer:

i believe its B~

Step-by-step explanation:

What is 36 1/2 of 146?

Answers

the answer is 5292.5

Answer:

This question is not worded well (textbook's fault, not yours) so there are two possible answers.

5329 or 1/4.

Step-by-step explanation:

If it means 146 36.5 times; then 36.5 • 146 = 5329 .

But if it means 36.5 out of (over) 146; then 36.5 ÷ 146 = 1/4 (aka 0.25)

Answer for brainlest

Answers

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°

Step-by-step explanation:

[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]

Marley has marbles of the same size and shape in a bag. There are 2 green, 5
blue, and 3 red marbles in the bag. Marley picks two marbles without looking.
What is the probability he will pick two red marbles?

a) 3/15

b)1/15

c) 3/50

d) 1/4

Answers

Answer:

B.) 1/15

Step-by-step explanation:

10 total marbles3/10 - 1/1 = 2/93/10 × 2/9 = 1/15

Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the production line. What is the probability that exactly one of these three blue ray players is defective

Answers

Answer:

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

Step-by-step explanation:

For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Five percent of all blue ray players manufactured by a large electronics company are defective.

This means that [tex]p = 0.05[/tex]

A quality control inspector randomly selects three players from the production line.

This means that [tex]n = 3[/tex]

What is the probability that exactly one of these three blue ray players is defective?

This is P(X = 1). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354[/tex]

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

A tube-feeding formula is administered to a patient via Gastrostomy at 75
ml/hr. The formula contains 6.5% protein. How much protein will the patient
receive in the entire day, if the feeding must be held (stopped) for 2 hours
before and 2 hours after the administration of Dilantin twice a day?
39

Answers

Answer:

97.5ml protein

Step-by-step explanation:

20hr * 75ml/hr = 1500ml

1500ml * .065 = 97.5ml protein

The patient will receive 78 ml protein in the entire day.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Tube feeding formula = 75 ml/hr

Protein content = 6.5% of 75 ml/hr = 0.065*75 ml/hr

Protein content = 4.875 ml/hr

Now since, the feeding must be held (stopped) for 2 hours before and 2 hours after the administration of Dilantin twice a day

So, Stoppage total hours = 2(2 + 2) = 2*4

Stoppage total hours = 8

Thus, total hours in a day when formula is feed = 24 - 8 = 16 hours

Thus Protein received by patient = 16hr * 4.875 ml/hr

Protein received by patient = 78 ml

Thus, the patient will receive 78 ml protein in the entire day.

To learn more about expressions :

brainly.com/question/11568837

#SPJ2

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

im pretty sure its -14

Step-by-step explanation

Answer:

s= -17/12

17/12

Step-by-step explanation:

-5s - 14 = 7s +3

−5−14=7+3

-5s-14=7s+3

−5s−14=7s+3

−5−14+14=7+3+14

−5=7+17

-5s=7s+17

−5s=7s+17

−5−7=7+17−7

[tex]s=-\frac{17}{12}[/tex]

A cylinder has a base area of 28.2m2 and a height of 3.1 m. Estimate the volume of the cylinder.

Answers

Answer:

Base area by height

28.2*3.1=87.42cm3

To find out your balance on a savings account at a bank, which
measurements must be accurate? Check all that apply.
A. Interest rate
B. The number of times interest is calculated for your account
C. Number of customers at the bank per day

Answers

A, B, and D.
c just won’t make sense but the rest do so um yeah?

PEASE HELP
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).

Answers

Answer:

$12,600

Step-by-step explanation:

So what i did was i multiplyed 2.1 and 5 then i took that answer and multiplyed that and rounded it ang got $12,600

i hope this is right

Find the value of x that makes m parallel n .

Answers

X= 39

Explanation:
4(39)+6 = 150

convert 77 ft to yards

Answers

Answer:

25.6667

Step-by-step explanation:

Divide the length value by 3.

77 divided 3 =

25.6667

Answer:

Step-by-step explanation:

25.66 SQM

Please someone can help me...

Answers

Answer:

C

Step-by-step explanation:

Although I don't see the graph, I will assume it's a graph about the relationship between time and distance walked.

Here's the logic:

If you walk a longer time, your distance increases.

C. Put yourself in a situation, when you are walking father & father, time would only increase. Time can never decrease, in the real world. If you keep walking further & further, the amount you are walking is not decreasing, but only increasing.

Hope this helps!

A landscaper needs to prepare 5 identical conical-shaped hanging planters by filling three-quarters of each planter with soil. If the diameter of each planter is 14 inches and the height is 28 inches, approximately how much soil is required for all the planters

Answers

Answer:

Amount of soil need = 5,331.255 inch³ (Approx.)

Step-by-step explanation:

Given;

Number of conical planters = 5

Volume used in each planter = 3/4

Diameter of planter = 14 inch

Height of planter = 28 inch

Find:

Amount of soil need

Computation:

Radius of planter = 14 /2

Radius of planter = 7 inch

Amount of soil need = [Number of conical planters][Volume used in each planter][Volume of each planter]

Amount of soil need = [5][3/4][(1/3)(π)(r²)(h)]

Amount of soil need = [5][0.75][(0.33)(3.14)(7²)(28)]

Amount of soil need = [5][0.75][(0.33)(3.14)(49)(28)]

Amount of soil need = [3.75][1,421.66]

Amount of soil need = 5,331.255 inch³ (Approx.)

help me pls i’m stuck

Answers

Answer:

m=1

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y / change in x

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]

Determine the volume of the picture below.

Answers

Answer:

[tex] \frac{1}{2} \times (13 + 22) \times 13 \times 30 \\ 6825 \: {inch}^{3} [/tex]

Answer:

V = 6825in

Step-by-step explanation:

V = Ah

h = 30 in

A= 1/2(a+b)h = 1/2 ( 13+22)13

= 1/2(35)(13)(30)

= 35 x 13 x 15

= 6825in

Can i get some help hear

Answers

Answer:

Step-by-step explanation:

Since this is a assignment, I'll give a hint.

To find the area of a trapezoid, it'ls h(b1*b2)/2.

The height is how long the trapezoid is from each base.

The bases are the lines parralel to each other.

an exponential function with a base of 3 that has been transformed from the parent by a vertical stretch by a factor of 4 and a reflection across the y-axis.

Answers

Answer:

idek bro

Step-by-step explanation:

i stink at this math

X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14​

Answers

9514 1404 393

Answer:

  11

Step-by-step explanation:

  4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11

or

  4 × (2 3/4) = 4 × 11/4 = 11

At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?​

Answers

Answer:

266.65

Step-by-step explanation:

65% of 60 = 39 sandwiches sold

85% of 40 = 34 baguettes sold

all Jacket potatoes sold 3.25 x 25

34 x 2.70

39 x 2.40

add the total and comes to 266.65

In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a
passenger estimates the angle of elevation to the top of the falls to be 30°.
If the Horseshoe Falls are 173 feet high, what is the distance from the boat
to the base of the falls?

Answers

Answer:

299.64 ft

Step-by-step explanation:

The diagrammatic representation of the problem has been attached below :

Applying trigonometry :

We use the relation :

Tanθ = opposite / Adjacent

Tan 30 = 173 / d

0.5773502 = 173 / d

0.5773502d = 173

d = 173 / 0.5773502

d = 299.64 ft

A painter charges $15.05 per hour, plus an additional amount for the supplies. If he made $171.00 on a job where he worked 6 hours, how much did the supplies cost?

Answers

15.05x6= 90.3

171.00-90.3=80.7

Find the length of side x in simplest radical form with a rational denominator.

Answer has to be in simplest radical form

Answers

Answer:

[tex]\frac{9\sqrt{3} }{2}[/tex]

Step-by-step explanation:

since the triangle is a 30-60-90 triangle:

√3 : 2 = x : 9

=> 2x = 9 √3

=> x = [tex]\frac{9\sqrt{3} }{2}[/tex]

What is the length of the line? ILL MARK YOU BRAINLIEST PLS HELP

Answers

Answer:

D

Step-by-step explanation:

6^2 is 36 1^2 is 1. 36+1=37 sqrt 37

There are 1,444 souvenir paperweights that need to be packed in boxes. Each box will hold 15 paperweights. How many boxes will be needed

Answers

Answer:96.267

Step-by-step explanation:

There are 1,444 paperweights and one box will hold 15 paperweights

So you will divide 1,444 by 15, which would give you 96.267

So you would need 96 boxes and an extra box, which won't be full holding 4 paper weights

Which is the value of 2.3 - (-2.3)?

Answers

Answer:4.6

Step-by-step explanation:2.3-(-2.3) is the same thing as 2.3+2.3 which is 4.6

Answer:

4.6

Step-by-step explanation:

Other Questions
due today, almost midnight Give a simple meaning of package in visual arts. Please 14. Which makes the number sentence true?12 - 3= 7+_ Kendra started making jewelry to sell. She spent $12 for supplies to make four bracelets. She will sell thebracelets for $5 each. If each bracelet takes two hours to make, how much money will Kendra earn perhour? A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite. Find the length of the hypotenuse No links plzRewrite the following sentence, replacing the direct object and the indirect object withdirect object and indirect object pronouns.J'offre une pizza mes cousines. what is the maximum height (h) of the function h=-16t^2+20t+6plz plz show ur work Machu Picchu canal 3. How could you figure out how many gallons it could carry in an hour? Write amath equation.4. The canal is built on terraces from 2 to 6 meter high. What is the average heightof the canal? (Calculate the average by adding the two amounts and dividing by2)5. The canal is 5 inches wide and about 29,484 inches (2,457 feet) long. What isthe total area of the canal? (Calculate area by multiplying the width aby theheight) How do you say the year "1111" in Spanish?A. Mil ciento once 41. Steven wants to buy a $535 bicycleSteven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? DUE IN 10 MINUTES Write two sentences that explain how the term meteoroid relates to the term meteor. 6x^8 + 4x^5 + (n + 1)x^2-n / 10x - 10quien me ayuda Using the figure shown, match each Trigonometic Ratio to the ratio of the sides. Sam plans to use this image in artwork for a brochure about airplanes. Which principles of page layout is Sam planning to use in this artwork?A. emphasisB. repetitionC. balanceD. alignmentE. proximity Which of the following was not an effect of the Scientific Revolution?2 pointsA improved medicinesB. an attitude of humble discoveryC. decline in respect for the pastD. belief that human problems are solvable through science and technology aloneBI29 hi this is for ss plz help me Please don't give me a wedsite que sicnifica caballerescas con tus propias palabras Mrs. Thomas drives to work each day 75 miles one way. If she were in a hurry, could she legally drive to work in less thanan hour with the legal speed limit set to 65 MPH. Use a formula to support your answer.