The first term of a geometric sequence is 3 and the fifth term is 768 what is the sum of the first 9 terms of the corresponding series

Answers

Answer 1

Answer:

262143

Step-by-step explanation:

[tex]a_{n} = a r^{n - 1}[/tex]     a = 3   n = 5   [tex]a_{5} = 768[/tex]

768 = 3(r)^4   where r is the common ratio

r^4 = 256

r = 4

S = [tex]\frac{a(r^{n}-1) }{r - 1}[/tex]      n = 9    r = 4    a = 3

S = [tex]\frac{3(4^{9}-1) }{4 - 1}[/tex] = [tex]\frac{3(262144-1) }{3}[/tex]

  = 262143


Related Questions

The length of a line is 63 centimetres, correct to the nearest centimetre.
Write down the least possible length of the line.
(1 mark)

Answers

Answer:

this question needs more detail

Step-by-step explanation:

I would just say 0 as the least possible length of the line

What is the measure of 2HPL?
H
(12x - 15)"
(8x + 33)

Answers

Answer:55

Step-by-step explanation:

A math teacher noticed that 70% of seventh graders completed an extra credit assignment. About how many of 130 seventh graders would complete the extra credit assignment?

Answers

Answer:

91 students

Step-by-step explanation:

130 x 70% =91

Answer:

91 students

Step-by-step explanation:

so we are looking for 70% of 130

so we do the following:

130*.70

91 students

if m=5, evaluate the following: 20-5m =​

Answers

Answer:

-5

Step-by-step explanation:

20-5m

20-5(5)

20-25

5.

Is this the answer that you are looking for?

A box is 12 centimeters wide, 12 centimeters long, and 15 centimeters tall. What is the total surface area of this box?

Answers

Answer:

the answer is 2,160cm long I may be wrong

The total surface area would be 1008cm

Identify Slope and Y intercept for the equation X=4 M=B=

Answers

Undefined and Undefined

Since the equation is x = 4, there is no y-intercept as x will never equal 0.

Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.

Solve the equation for x .........

Answers

Answer:

-30

Step-by-step explanation:

-x/10 = 3

-x = 3 * 10 (transposing)

-x = 30

x = -30

f(x) = 2(x+4)2 - 6
Vertex:
Is the vertex a max or min?

Answers

Answer:

2 is positive, so this graph has a minimum and opens upward

Step-by-step explanation:

GEOMETRY HELP PLEASE ASAP!!
1

Answers

Hi you just have to multiply the top and side of each shape then add them all up so the final answer is 782 square inches

i need help on this question.

Answers

The Apple is 5.2 pounds
Answer: Bananas is 3.2 lbs, grapes is 2.2, and apples is lbs (i think)

Explanation: 9.6 divided by 3 is 3.2. Then figure out how many lbs the grapes are, which is 2.2 because 2.2 is one lb less than 3.2, which is bananas because the bananas are one lb more than the grapes. Then to figure out the apples, all you need to do is do 2.2 + 3.2 = 5.4, then figure out how much more you need to add to get to 9.6 which is 4.2. I really hope this helped, im not very good at explaining lol

If a water pump can pump 30 liters of water per hour, how much water can it pump in 2 hours? A. 80 L B. 60 L C. 40 L D. 30 L

Answers

Answer:

B. 60L

Step-by-step explanation:

30L = 1hr

2hrs= 30×2= 60L

Answer:

B

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.

Answers

Answer:

d

Step-by-step explanation:

Refer to OP for Exercises 1-8. If SN and MT are diameters with m/ SPT 51 and m/ NPR 29, determine whether each arc is a minor arc, a major arc, or a semicircle. Then find the degree measure of each arc.

1. MNR

3. mTSR

2. MST

4. mMST

If MT= 15, find the length of each arc. Round to the nearest tenth.

5. NR

7. TSR

6. ST

8. MST

M

N

R

Geometry

Answers

Step-by-step explanation:

the answer is a

If Timmy has 38 apples, and Tina’s favorite food is mango, how were the stars aligned in the sky on March 16th, 1876?

Answers

Answer:

The real question is why do the people in math problems have an unnecessary amount of objects? also the answer is capricorn

Step-by-step explanation:

a rectangle with a length of 9 inches and a width of 8 inches is divided in to squares of with sides of length 1 inch.One third of these squares are painted red , 1/8 of the remaining squares are painted green, and the others are left unpainted.How many squares are left unpainted?

Answers

Answer:

42

Step-by-step explanation:

  rectangle =  8x9 = 72

1/3 0f 72 =  24      (72-24=  48)

1/8 of 48 =6   48-6 =42

red-----24

green-----6

unpainted-----42

24+6+42+=72

The 42 squares are left unpainted.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of rectangle =  8 x 9 = 72

One-third of these squares are painted red, 1/8 of the remaining squares are painted green, and the others are left unpainted.

1/3 of 72

1/3 x 72 =  24      

(72-24=  48)

1/8 of 48

1/8 x 48 = 6  

( 48-6 =42)

So,

red = 24

green = 6

unpainted = 42

The 42 squares are left unpainted.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

69. A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. The Type I error is to conclude that the percent of EVC students who attended is ________. a. at least 20%, when in fact, it is less than 20%. b. 20%, when in fact, it is 20%. c. less than 20%, when in fact, it is 20%. d. less than 20%, when in fact, it is less than 20%

Answers

Answer:

a. at least 20%, when in fact, it is less than 20%.

Step-by-step explanation:

Type 1 Error is to reject null hypothesis when it is actually true.

Here the null hypothesis is fewer than 20% of Evergreen Valley College (EVC) students attended the show.

In mathematics fewer than 20% means less than  20%.

So the null hypothesis is that less than 20 % students attended the show.

We have to reject this hypothesis .

We can reject this hypothesis when we assume that the % is greater than or equal to 20 %

At least  20% means greater than or equal to 20%.

So the best choice is option a.

at least 20%, when in fact, it is less than 20%.

A circular plate had a diameter of 10 cm. The rectangular table it sits on
has dimensions of 5000mm x 3600mm. How many plates can fit on this
table? What is the percentage they cover?
Please help me it’s 10 points also this is my first time on this app

Answers

Answer:

2292.9936

Step-by-step explanation:

circular plate had a diameter of 10 cm. The rectangular table it sits on

has dimensions of 5000mm x 3600mm. How many plates can fit on this

table? What is the percentage they cover?

Please help me it’s 10 points also this is my first time on this app

Given :

Dimension of table :

5000 mm * 3600 mm

Area of rectangle = Length * width

Area of table = 5000 * 3600

Area of table = 18000000 mm²

Recall :

1 cm = 10 mm

Diameter of circular plate = 10cm

Converting to mm :

10 * 10 = 100 mm

Area = diameter/ 2 = 100 mm / 2 = 50 mm

Area of a circle = πr²

Area of circular plate = 3.14 * 50² = 7850 mm²

Number of plates = 18000000 / 7850

= 2292.9936 plates

About 2293 plates


7) A $125.70 grocery total is discounted 30%.
What is the total paid?

Answers

Answer:

$87.99 is the total

Answer:

$87.99

Step-by-step explanation:

Okay so you have to change the 30% to a decimal. it will be .3, now multiply 125.7 by .3 and get 37.71. now subtract this from the total to find the amount paid.

The diameter of a circle is 8 cm. Find its circumference in terms of \piπ.

Answers

Here is your answer ^^

----------------------------------

C≈25.13cm

Explanation:

C=2πr

d=2r

Solving for C:

C=πd=π·8≈25.13274cm

-------------------------------------

Anyways bye! <3

(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?

Answers

Answer:

Obtuse.

Step-by-step explanation:

If we have a vector v = (a, b, c)

The magnitude of the vector is:

|v| = √(a^2 + b^2 + c^2)

And the dot product of two vectors:

v = (a, b, c)

w = (c, d, e)

is:

v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e

With that relation, we can find the angle between the two vectors.

In this case, we have:

v = ⟨−1,0,1⟩

then:

|v| = √( (-1)^2 + 0^2 + 1^2) = √2

And:

w = ⟨4,5,2⟩

then:

|w| = √( 4^2 + 5^2 +2^2) = √116

Then:

v.w = (√2)*(√116)*cos(θ) =  (-1)*(4) + 0*5 + 1*2

(√2)*(√116)*cos(θ) = -4 + 2 = -2

(15.23)*cos(θ) = -2

cos(θ) = -2/15.23

θ = Acos( -2/15.23) = 97.5°

Then the angle is larger than 90°, so the angle is obtuse.

Find the cubes of the following numbers: a) 21 b) 55 c) 302

Answers

Answer:

21 cubed is 9261

55 cubed 166375

302 cubed 27543608

hope this helps

have a good day :)

Step-by-step explanation:

Please help me with this! I will give brainlist!

Answers

Answer:

Its the 2nd Dot

Step-by-step explanation:

I put C but again I’m not really sure it’s the correct answer.

Answers

Answer:

A

Step-by-step explanation:

what is the difference between the points (-3,4) and (-3,-5)?

Answers

The difference between the points (-3, 4) and (-3, -5) is (0, 9)

Brainliest?? ;D

Mr.Jones owns a greenhouse. He planted 100 tomato plants. only 72 of those plants survived. Write this as a percentage,a decimal,and a fraction.

Answers

72/100=72%=0.72
Plants survived divided by total plants.

if you can help me youre a legend :)

Answers

Answer:

A. 9

B. 7

Step-by-step explanation:

A. 11 - 2 = 9

B. 1 + 6 = 7

A)11-2=9
B)6+1=7
I think this is the answ

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
16 cm
The volume of the sphere is about|
cm?

Answers

12 cm yo the approximate square in each individual variable

HELP ME PLEASE WHAT IS
What is 2/5 divided by 3/4 IT CAN NOT BE A DECIMAL

Answers

Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!

Step-by-step explanation:

La medida de cada ángulo interno de un polígono regular es 140o. Determine la medida de cada ángulo central.

Answers

Answer:

Cada ángulo central tiene una medida de 40°.

Step-by-step explanation:

Un ángulo interno en un polígono regular comprende dos ángulos contiguos de igual medida de dos triángulos contiguos. Si el polígono regular tiene un ángulo interno de 140°, entonces cada triángulo tiene dos ángulos de 70°. El tercer ángulo corresponde al ángulo central. Por Geometría sabemos que la suma de las medidas de los ángulos internos de un triángulo es igual a 180°, entonces tenemos que la medida del ángulo central es:

[tex]\alpha = 180^{\circ} - 70^{\circ} - 70^{\circ}[/tex]

[tex]\alpha = 40^{\circ}[/tex]

Cada ángulo central tiene una medida de 40°.

Examine the equation below. Use it to answer question 54.
6x + 3 = 3 (2x + 3)
Question 54 *
Which statement correctly explains whether the equation is true or not?
A.
B.
C
D.
It is not true because all the x values should be on the same side of the equation
It is true because the terms on the left are multiples of 3
It is not true because 3 x 3 does not equal 3
It is true because óx equals 3 * 2x

Answers

D= it's is true because ox equals 3*2x

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