What is the sum of a seven-term geometric series if the first term is -2, the last term is
-31,250, and the common ratio is -5?

Answers

Answer 1

Answer:

-26042

Step-by-step explanation:

sum of a finite geometric series =

[tex]\frac{a_1(1-r^n)}{1-r}[/tex]

here, a1 is the first term, r is the common ratio, and n is the number of terms

a1 = -2

r = -5

n = 7

[tex]\frac{a_1(1-r^n)}{1-r} = \frac{-2(1-(-5)^7)}{1-(-5)} = -26042[/tex]


Related Questions

you won 1 million dollars in prize money, however they are not giving it to you all at once. so is your money trult the value of the prize

Answers

I guess it’s going to be 1million + 2miilion )

write the ratio in simplest form 24:4

Answers

Answer:

6:1

Formula for this equation

Divide by 4

24 ÷ 4 = 6

4 ÷ 4 = 1

The correct answer to ratio is 6:1

Which names the tiling?
4, 8, 4, 8
4, 4, 8
4,8,8
4,8,8,8,8

Answers

Answer:

it's 4,8,8

Step-by-step explanation:

hope it helps

state whether each is a property that shows congruence between two triangles using Yes or No.

_____ 2. SSS
_____ 5. SAS
_____ 3. SSA
_____ 6. ASA
_____ 4. AAS
_____ 7. AAA

Answers

Answer:

yes

yes

no

yes

yes

no

Step-by-step explanation:

Two sailboats leave Key Largo, Florida. One of the sailboats travels 3 miles east and then 4 miles north. The second sailboat travels 8 miles south and 6 miles west. How far apart, in miles, are the boats? A. 14 miles B. 15 miles C. 17 miles D. 21 miles​

Answers

Check the picture below.

Use inverse operations to solve.
1. You had $37 in your bank account. After you receive some money for your birthday, you have a total of $62.
How much money did you get for your birthday?

Answers

Answer:

[tex]\huge\boxed{\bf\:25 \:dollars}[/tex]

Step-by-step explanation:

Money in the bank account before receiving the birthday money = $37

Money in the bank account after receiving the birthday money = $62

Money received as the birthday money = ?

Money received as the birthday money

= Money in the bank account after receiving the birthday money  - Money in the bank account before receiving the birthday money

= $62 - $37

= $25

[tex]\rule{150pt}{2pt}[/tex]

Tony made 52 decorations for the class party. He made 7 times as many ecorations as Jack did, but he lost 4. Which equation could be used to Find the number of decorations, x, Jack made?

⚫️4x + 7 = 52
⚫️7x + 4 = 52
⚫️4x - 7 = 52
⚫️7x - 4 = 52

Answers

7x-4=52 is correct because he made 7 times more than Jack which is 7x. For example if Jack made 8 decorations, 7 x (8) = 56. If you subtract 4 from 56 you get 52. Therefore, the equation 7x-4=52 is correct.
7x- 4 = 52 is the correct answer.

What is the shortest strip of fiber from which five pieces of the following lengths can be cut: 9 1/2 inches, 10 11/16 inches, 6 9/16 inches, 7 1/2 inches, and 1 5/8 inches? No allowance is made for waste.​

Answers

Answer:

35 7/8 inches

Step-by-step explanation:

Shortest strip

9 1/2 + 10 11/16 + 6 9/16 + 7 1/2 + 1 5/89 8/16 + 10 11/16 + 6 9/16 + 7 8/16 + 1 10/169 + 10 + 6 + 7 + 1 + (46/16)33 + 2 7/835 7/8 inches


The HHS Math Talent show is giving out cylinder trophies this year to its winners. The trophy is a cylinder with a
height of 18 cm and a radius of 6 cm. The density of gold is 19.32 g/cm and the density of silver is
10.5 g/cm?
How much heavier is the gold trophy compared to the silver to the nearest whole grom?

Answers

Need mas

Find volume

πr²hπ(6)²(18)36(18)π2034.7cm³

Mass

Density×Volume

As volume is same

Divide their densities to find ratio

Gold /Silver19.32/10.51.84 times heavier is gold

10 in.
12 in.
8 in.
Find the surface area

Answers

Answer:

592 square inches

Step-by-step explanation:

2(S1)+2(S2)+2(S3)=SA

2(10*12)+2(12*8)+2(10*8)=SA

2(120)+2(96)+2(80)=SA

240+192+160=SA

SA=592 in. Squared

Which has a greater volume, a quart or a liter? Explain.

Answers

Answer:

A quart is a little less then a liter

Step-by-step explanation:

An easy way to figure out liters to gallons, is that a quart is a little less than a liter and 4 liters is a little more than 1 gallon. To be exact, 1 liter is 0.264 gallon (a little more than a quart), and 4 liters is 1.06 gallons.

---

Hope this helps you!

Answer:

A quart is a little less than a liter and 4 liters is more than 1 gallon. To be exact, 1 liter is 0.264 gallons (a little more than a quart), and 4 liters is 1.06 gallons.

Step-by-step explanation:

. What is (f + g)(x)?
=
-
f(x) = x3 - 2x + 3
g(x) = 2x² + 4x - 4
-

Answers

Answer:

[tex]3x^3 + 2x - 1[/tex]

Step-by-step explanation:

[tex]x^3 - 2x + 3 + 2x^3 + 4x - 4[/tex]

Combine like terms:

[tex]3x^3 + 2x - 1[/tex]

Hope that helped

(f+g)(x)f(x)+g(x)x³-2x+3+2x³+4x-4x³+2x³-2x+4x+3-43x³+2x-1

Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are bad? Round your answer to the nearest number.

Answers

Answer:

25%

Step-by-step explanation:

6/24 of the apples went bad

we can still simplify 6/24

1/4

1/4 is equal to 25%

hope this helps

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Answers

the answer is 41 , this is because the angles have to add up to 180 in total therefore 180-139 = 41

Answer:

41

Step-by-step explanation:

Supplementary Angles add up to 180.

180 - 139 = 41

Can you guys help me please :(

Answers

The area of the first, second, third, and fourth circles will be 56.72 cm², 36.3 ft², 167.33 m², and 188.6 yd² respectively.

What is a circle?

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

Then the radius and diameter are given below.

[tex]\rm r_1 = 4 \dfrac{1}{4} = \dfrac{17}{4} = 4.25 \ cm\\\\\\r_2 = \dfrac{d}{2} = \dfrac{6\frac{4}{5}}{2} = \dfrac{34}{10} = 3.4 \ ft\\\\\\r_3 = \dfrac{d}{2} = \dfrac{14.6}{2} = 7.3 \ m\\\\\\r_4 = 7\dfrac{3}{4} = \dfrac{31}{4} = 7.75 \ yd[/tex]

Then the area of the circle is given as

Area = π × r²

Then the area of the first circle will be

Area = π × r₁²

Area = 3.14 × 4.25²

Area = 56.72 square cm

Then the area of the second circle will be

Area = π × r₂²

Area = 3.14 × 3.4²

Area = 36.3 square ft

Then the area of the third circle will be

Area = π × r₃²

Area = 3.14 × 7.3²

Area = 167.33 square m

Then the area of the fourth circle will be

Area = π × r₁²

Area = 3.14 × 7.75²

Area = 188.6 square yd

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

what is this qouschin

Answers

Answer:

Below in bold.

Step-by-step explanation:

m < 3 = 59 degrees (alternate angles)

m < 2 = 180 - 59 = 121 degrees  ( adjacent angles)

solve the inequality 23 + d > 35.

Answers

Answer:

[tex]d > 12[/tex]

Step-by-step explanation:

[tex]23+d > 35[/tex]
[tex]d > 12[/tex] (subtract 23 on both sides)

Phoebe divided her rectangular vegetable garden into three sections, as shown in the drawing below.

Answers

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities

PLEASE HELP ASAP I’LL GIVE BRAINLIEST!!!

Answers

It’s a square pyramid. This is because the base is a square.

Translate the following statement into an appropriate algebraic statement: 10 times the sum of the number of adults and 2 times the number of children is 140.
Question 1 options:


10(a + 2c) = 140


10a + 2c + 140


10(a + 2c) + 140


10a + 2c = 140

Answers

Answer is A
Took the test and passed

Write an equation to represent the following statement. 51 5151 divided by 3 33 is k kk.

Answers

The equation is a quotient statement, and the equation is 51/3 = k

How to determine the equation?

The statement is given as:

51 divided by 3 is k

Represent the word "is" with "="

So, we have:

51 divided by 3 = k

Represent the word "divided" with "/"

So, we have:

51 / 3 = k

Hence, the equation is 51/3 = k

Read more about equations at:

https://brainly.com/question/2972832

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compute the probability of rolling a 12 sided die and getting a number other than 8. please help​

Answers

11/12 ≈ 0.916
chance of getting a number other than 8

Tidal energy is powered by:
A. Earth's gravity.
B. the moon's gravity.
C. the thermocline of the ocean.

Answers

Tidal energy is powered by the moon's gravity

Pls help asap! 30 points!

Answers

Answer:

I got -x/2+1/2. I'll get back to you in a lil bit.

Y = 1 - 2x

-1

y-1 = - 2x

÷ -2

y-1/-2 = x

f-1(x) = x - 1/-2

Let's make x = 7

7-1/-2 = - 3

Or

y = 1 - 2x

+2x

y + 2x = 1

-y

2x = 1-x

÷2

x. = 1-x/2

f-1(x) = 1 - x/2 is your answer

Let's make x=7

1-7/2 = - 3

Hope this helps!

The dot plots show rainfall totals for several spring storms in highland areas and lowland areas.

What is the range of rainfall for the highland storms?

What is the range of rainfall for the lowland storms?

Answers

Answer:

Part A)  Option c) 15.27 mm

Part B)   Option b) 12.05 mm

Step-by-step explanation:

The mean is also sometimes called the average

To find the mean, you add up every number in the data set, and you divide that sum by the total number of data points within the set.

A) What is the mean rainfall for the highland storms?

The sum of the data of Highlands storms

= 2*2 + 3*4 + 2*6 + 3*8 + 4*10 + 3*12 + 4*14 + 5*16 + 5*18 + 4*20 + 2*22 + 24 + 2*26 + 2*28 + 30 + 32 = 672

the total number of data = 44

Mean = 672/44 = 15.27 mm

So, the answer is option c) 15.27 mm

B) What is the mean rainfall for the lowland storms?

The sum of the data of Lowland storms

= 3*2 + 5*4 + 3*6 + 3*8 + 5*10 + 7*12 + 6*14 + 4*16 +2*18 + 20 + 2*22 + 24 + 2*28 = 530

the total number of data = 44

Mean = 530/44 = 12.05 mm

So, the answer is option b) 12.05 mm

Answer:

30 and 26

Step-by-step explanation:

Simplify y ^2 + 11y - 6y + y ^2.
y4 + 5 y
2 y 2 + 5 y
y4 + 5
2 y 2 + 5

Answers

Step-by-step explanation:

Question:

[tex] {y}^{2} + 11y - 6y + {y}^{2} [/tex]

Organize the like terms...

[tex] = {y}^{2} + {y}^{2} + 11y - 6y[/tex]

[tex] = 2 {y}^{2} + 5y[/tex]

Answer:

2y^2 + 5y

Step-by-step explanation:

y^2 + 11y - 6y + y^2=

= (y^2 + y^2) + (11y - 6y)

= 2y^2 + 5y

COS(60°) what is the answer

Answers

Answer:

1/2

Step-by-step explanation:

6. Find the perimeter of the figure below

11 in, 13 in, 4 in, 4 in, 7 in,

27 in.

21 in.

29 in

26 in​

Answers

Answer:

26 in.

Step-by-step explanation:

» Concepts

The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.

» Solution

Adding up all the sides, we get:

[tex]11+7+4+4[/tex] [tex]18+4+4[/tex] [tex]22+4[/tex] [tex]26[/tex]

26 inches

Reggie put $400 in a savings account that earns 6% interest each year how much money will he have in his account after two years??

Answers

Answer:

Your answer is 4800

Step-by-step explanation:

I: PRT

400

  .6

____

2400

0000

_____

2400

       2

_____

4800

Have a wonderful day/night and good luck

stay safe, and stay healthy

Ty for brainliest!

Answer:

4800

Step-by-step explanation:

Hello, we need help with these questions

Answers

Answer:

...

Step-by-step explanation:

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