The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence

Answers

Answer 1

Answer:

second term: 9

4th term:81

[tex](3rd \: term)^{2} = 9 \times 81[/tex]

=729

[tex] \sqrt{729} = 27[/tex]

3rd term=27

[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]

a1=3 the first term

[tex]81 = 3 \times {q}^{3} [/tex]

[tex] {q}^{3} = 27[/tex]

q=3

[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]


Related Questions

Anyone knows the answer???

Answers

Answer:

351.9 m²

Step-by-step explanation:

[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder

We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).

Plug in 4 as r and 10 as h

[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]

Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.

I hope this helps!

351.9 to the power of 2

Nevaeh’s bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. Nevaeh randomly selects a marble from the bag, records the color, and then puts the marble back in the bag. If she does this 150 times, how many times would she expect to select blue?

A 10 times

B 30 times

C 45 times

D 75 times

Answers

Answer:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

mark me brainlest

QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]​

Answers

Answer:

b

Step-by-step explanation:

Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel

Answers

Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

Please help me i cannot understand these Questions

Answers

Answer:

In the last task, the result is 17+3x/6

Step-by-step explanation:

X+5/3 - 2x-7/6 + x/2

2(x+5)-(2x-7)+3x /6

2x+10-2x+7+3x /6

17+3x/6

I dunno this task above, I hope this one is correct :))

May you solve this for me?

Answers

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.​

Answers

No. Of Teachers Initially = 80
No. of Teachers joined = 10

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Plz help me this very important

Answers

The answer will be 31 hope it right

what does noncollinear

Answers

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

What is the solution to 5/6 X 2/3 =
? Mark the TWO correct

answers.

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

i think is 5/9 :))

Determine the Geometric mean of 18 and 27

Answers

Answer:

The geometric mean of 18 and 27 is 22.045407685

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

Answer:

22.045407685

Step-by-step explanation:


Find the area of the trapezoid. Round your answer to the nearest hundredth.

Answers

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

Algebra 2
L.3 Multiply polynomials BGN

Answers

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x


help please! need asap

Answers

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

what is 1086.3961 rounded to the nearest square foot?

Answers

I believe the answer would be 1086.4

Please give a like if I’m right and tell me in the comments if I’m wrong.
Hope this helped :)

A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?

Answers

Answer:

10.47 inches

Step-by-step explanation:

circumference = πD = 3.14(20) = 62.8 inches

62.8 inches/6 spaces = 10.47 inches per space

Please help me thanks! :)

Answers

Answer:

eyjdnfbhs

Step-by-step explanation:

Determine the intercepts of the line I need help quick!!!!!

Answers

Answer:

x-inter = (-40,0), y-inter= (0,15)

Step-by-step explanation:

the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.

The diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for w, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

Answer: V=707

Step-by-step explanation:

Use the shell method to compute the volume (CALCULUS HELP!!!)

Answers

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

Which could be the function graphed below? ​

Answers

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

3 mugs have the same capacity as 2 bottles. The capacity of 10 mugs and
8 bottles is 15.4 l. Find the capacity of a mug.

Answers

Answer:

0.70L

Step-by-step explanation:

3m=2b

convert 8 b to mugs

therefore 8b=12m

12m+10m=22m

15.4/22=0.700l

Tomas drew a rectangle with an area of 6 square centimeters.what is the greatest possible perimeter of this rectangle?Explain please. i want 20 answers please

Answers

The answer is 14. Hope it helps!

Given f z please help

Answers

Answer:

z = -11, z = -2

Step-by-step explanation:

Given that, ([tex]f(z)=\sqrt{z+27} -z[/tex]) and ([tex]f(z)=7[/tex]), set up an equation that puts the first value of ([tex]f(z)[/tex]) equal to the other given value of the function.

[tex]f(z)=\sqrt{z+27}-z=7[/tex]

Use inverse operations to solve,

[tex]\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22[/tex]

Factor,

[tex]0=(z+11)(z+2)[/tex]

Solve using the zero product property, the zero product property states that any number times zero equals zero;

[tex]z=-11,z=-2[/tex]

Answer:

Then solve the rest using the quadratic formula

The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2 hours and a standard deviation of 1.5 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $35 per hour cost for customers waiting during the repair process. What are the arrival rate and service rate in jobs per hour

Answers

Answer:

The correct answer is:

[tex]\lambda=0.375 \ jobs \ per \ hour[/tex][tex]\mu=0.5 \ jobs \ per \ hour[/tex]

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

D = L ( m/k + v^2/25)

Make v the subject of the formula.

Answers

Answer:

Answer and steps in picture.

D/L = m/k + v^2/25
-m/k -m/k
25(D/L - m/k) = v^2/25(25)
Sqrt 25(D/L - m/k) = sqrt v^2
Sqrt 25(D/L - m/k) = v

The ratio of dogs to cats at the local
shelter is 2 to 5. There are 20 dogs at
the shelter. What is the total number
of cats and dogs at the shelter?
A. 28
B. 50
C.
70
D. 8
Need

Answers

Answer:

B 50

Step-by-step explanation:

Option 1) 2/5 = 20/x  |  20/2 = 10 so x = 10  |  5 times x 10 =50

Option 2) dogs 2 to cats 5  |  2/5 = 20/x  |  .40 = 20/x  |  .40x = 20  |  x = 50

Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50

help, please will give Brainliest

Answers

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

24 13
10) Find the midpoint of a line segment AB. A(3, 10) and B (-9,3)

Answers

Answer:

(-3 ;13/2)Step-by-step explanation:

hello :

the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )

(-3 ;13/2)

Lucy drank 6 liters of water after 2 days. How many liters of water did she drink after 6 days?

Answers

Answer:

18 Liters of water

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