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

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

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

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

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

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

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]

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 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]

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!

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)

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)

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

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

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.

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:

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

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.)

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

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]

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?

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

Find the value of x that makes m parallel n .

Answers

X= 39

Explanation:
4(39)+6 = 150

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

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.

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:

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

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

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

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*

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]

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