NEED HELP ASAP!!! What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms?

A. -959,781

B. 29,637

C. 26,661

D. 959,780

Answers

Answer 1

Answer:

D

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then

S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]

     = [tex]\frac{-4(1679616-1)}{-6-1}[/tex]

     = [tex]\frac{-4(1679615)}{-7}[/tex]

      = [tex]\frac{-6718460}{-7}[/tex]

      = 959,780


Related Questions

3

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i need help!!



math geniuses pls help me!


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Answers

Answer:

the answer is A. sorry for dirty handwriting

Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd

Answers

Answer:

[tex]A = 66\ yd^2[/tex]

Step-by-step explanation:

You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:

[tex]A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66[/tex]

Answer:

The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

Step-by-step explanation:

Step 1:  Find the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 2:  Find the area of the top and bottom

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 3\ yd[/tex]

[tex]A = 9\ yd^2 * 2[/tex]

[tex]A = 18\ yd^2[/tex]

Step 3:  Find the area of the left and right sides

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 4:  Total area

[tex]A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2[/tex]

[tex]A_{total}= 66\ yd^2[/tex]

Answer:  The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

Helpppp meeeeee pleaseeeee

Answers

Answer:

C. 54 tens

Step-by-step explanation:

54×10=540

54tens=540

Answer:

54 tens

Step-by-step explanation:

This is like regular multiplication, sort of.

54 x 10= 540

540=54

4. Circle O is shown below. The diagram is not drawn to scale.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Concept : As we know, Angle made by an arc on the centre of the circle is double the angle made by the same arc on the part of circle.

Therefore, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\angle O= 2 × \angle R[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 2 × 28 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 56 \degree[/tex]

I hope that helps ~

can anyone solve this step by step
[tex] - 6 \sqrt{243m {}^{4} } n {}^{5} p {}^{2} [/tex]

Answers

Answer:

[tex]-54m^{2} n^{2} p \sqrt{3n}[/tex]

Step-by-step explanation:

solved it using a software. check attachment for all the steps

Select the equation that matches the written description.
A number, y is eight less than negative nine times a number,x.
(А)
y = -4x + 8
B
y = 3x + 8
y = -9x - 8
D
y = 5x + 8

Answers

I believe it’s y=3x+8 I hope this helps :)

Answer:

C. y = -9x - 8

Step-by-step explanation:

Setting up the equation:

eight LESS (so minus sign before the 8) THAN (so 8 is being subtracted from the -9x) negative (-) nine TIMES (multiplication) a number, (variable) x.

We want to get the variable y alone, so this can be written as y = -9x - 8

Which of the following statements could be translated to the equation n - 5 = -2?

- A number less than five equals negative two.
- The difference between a number and five is negative two.
- If five is subtracted from a number, the result is two.
- Five less a number is equal to two.

please send help :')

Answers

Answer:

Answer would be B

Step-by-step explanation:

First, A doesnt make sense, since it isn't a ineqality.

C doesnt make sense because if 5 is subtracted form a number n, it is -2, not 2.

D doesnt work because 5 less a number (-5) is not 2, it is -2.

So B works, because the difference between n and 5 (n-5) is -2.

I need help please anyone, I would appreciate it sm?!

Answers

Answer:

1st option y-5 = 3(x-1)

Step-by-step explanation:

graph shows y intercept of 2

1st option has a y intercept of 2

Answer:

Option 1

Step-by-step explanation:

Clearly, the slope of the line is 3. (As it cannot be negative in this case and it's more vertical so it's not 1/3)

The point slope form is written as :

y - y₁ = m(x - x₁)

Substituting m = 3 :

y - y₁ = 3(x - x₁)

Option 1 is the only option with the value of m as 3.

Please help fast. Need soon!

Answers

Answer is B: 76 sq ft
See explanation on picture attached with my method of solving

What is
-7+13+8X -2
Please help meee step by step

Answers

Answer:

-1/2 = x
OR
-0.5 = x

Step-by-step explanation:

1) Isolate x from the equation by making it equal to zero
(Reminder that everything crossing over to the other side of the equation changes it's symbols from positive to negative, and vice-versa is the original symbol was negative)

-7 + 13 + 8x - 2 = 0
-7 + 13 - 2 = -8x

2) Add up common terms on the left side

-9 + 13 = -8x
4 = -8x

3) Divide the entire equation by the number that would leave "x" by itself the factor or number that leaves the number by itself is negative eight since its the number with the equation (-8)

4/-8 = -8x/-8
-1/2 = x
OR
-0.5 = x

Hope this helps :)
Also, if you can is it ok if you can give me brainliest on this?

Lacey had $603 in her checking account. Then, she spent $252 from the account. How much money is left in Lacey's checking account?

Answers

Answer:

In this problem we are given the initial amount of money that Lacey has in her account and we are also given the amount of money that she has spent using that account.  We are told to check how much money is left in her account and we can do this with a simple subtraction.

[tex]Initial\ Amount - Money\ Spent[/tex]

[tex]\$603-\$252[/tex]

[tex]\$351[/tex]

Therefore, our final answer is that Lacey has $351 left in her account.

Hope this helps!  Let me know if you have any questions

median and the data 11 , 17 , 7 , 4 , 15 , 9

Answers

Answer:

10.

Step-by-step explanation:

median means the "middle" number in a set of numbers.

(I always the meaning of median by remembering "middle" because they rhyme).

NOTE: to find the median of a set of numbers you have to arrange that set of numbers in either ascending order (smallest to biggest value) or descending order (biggest to smallest value) .

sooo....

we were given :

11, 17, 7, 4, 15, 19

let's arrange in ascending order

4, 7, 11, 15, 17 , 19

now you can cancel them out ( cancel left number, right number)

i mean....

cancel out 4, cancel out 19

cancel out 7, cancel out 17

and we are left with 2 numbers which are11 and 15.

NOTE; (when you have two numbers or values remaining instead of one number, add those two numbers and divide by 2).

soooo...

11 + 15 = 20

20/2 = 10

median of the set of numbers is equal to 10.

Hope this helps.

Good luck ✅.

8 = 3a – 4
what is the anser

Answers

Answer:

a=4

Step-by-step explanation:

what minus 4=8? its 12. 12-4=8 so

what times 3 is 12? 4.

3*4=12

12-4=8

a=4

A = 4 Is the answer 8 + 4 = 3a - 4 + 4

A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?

31 miles
21 miles
22 miles
32 miles

Answers

Answer:

Step-by-step explanation:

36-3=33

33 divided by 1.5 equals 22

answer is 22 miles

Answer:

Step-by-step explanation:

1.5x + 3 = 36

1.5x = 33

x = 22 miles

In a card game, Alex has 2 diamonds 3 spades 4 clubs, and 1 heart. Without being able to see the cards wes is going to pick one of Alex's cards. What is the probability that wes will pick spade or a club

Answers

Answer:

4/10 or 40% chance he picks a spade and 3/10 or 30% he picks a club so in total he would have a 7/10 chance or 70% chance of getting spade or club

Step-by-step explanation:

The probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

To find the probability that Wes will pick a spade or a club from Alex's cards, we need to determine the total number of spades and clubs in Alex's hand and divide it by the total number of cards.

Total number of spades = 3

Total number of clubs = 4

Total number of cards = 2 (diamonds) + 3 (spades) + 4 (clubs) + 1 (heart) = 10

Therefore, the probability that Wes will pick a spade or a club is:

(Picking spade or club) = (Total number of spades + Total number of clubs) / Total number of cards

= (3 + 4) / 10

= 7 / 10

= 0.7

So, the probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

Learn more about probability click;

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What is the answer to number 2 on this sheet?

Answers

Answer:

J

Step-by-step explanation:

Use the Volume formula for cylinders first.

V=πr^2•h.

Radius=Diameter/2

R=5.

Plug it in.

V=π5^2•36

V=2,826.

Multiply the rest of the answers out to see what matches.

J.) 78.5•36=2,826

Hi please help ASAP
Amos is painting his pots. He needs one forth of a liter to paint all four pots.
How much paint will he need for each of his 4 pots if he uses the same amount of paint on each?

Answers

Answer:

he would use 1/16 of a liter or 2.11 oz

Step-by-step explanation:

so i took 1/4 and divided up into 4 which is 1/16 and then i took 1/4 liter and divded that up into 4 to get 2.11 oz

Solve and graph the inequality.
6 + x > 15

Answers

Answer:

x > 9

The graph is a half-plane. (All the points with their abscissa (their value on the x-axis) greater than 9

Step-by-step explanation:

6 +x > 15

x > 15 - 6

x > 9

Answer:

X>9

Step-by-step explanation:

the other guy has the graph

Which function has a domain of all real numbers?


Answers

Answer:

D

Step-by-step explanation:

[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]

Can someone help me with this one math problem?
Convert 32.8% to a fraction in simplest form and a decimal.

Answers

Answer:

Step-by-step explanation:

32.8 = 164/5

= 32/4/5

as a fraction

To convert the decimal 32.8 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

32.8 = 32.8/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

32.8

1

= (32.8 × 10)

(1 × 10)

= 328/10

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(328,10) = 2. So,

(328÷2)

(10÷2)

= 164/5

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 328/ 10

is also equal to 32/4 /5

when expressed as a mixed number.

How do I find out the median of this set of numbers?
138, 119, 182, 174, 142, 117, 152, 152

Answers

Add up all the numbers and divide by the amount of numbers
117 + 119 + 138 + 142 + 152 + 152 + 174 + 182 = 1176 : 8 = 147

Question 21:
Name the angle:

Answers

Answer: Either angle QPO or  angle OPQ

Explanation:

When naming an angle, we always have the vertex as the middle letter. That vertex is P. It's where the two rays are joined.

So we could have the name "angle QPO" or "angle OPQ" since the order of the other letters doesn't matter. All that we care about is P is in the middle.

The highest or lowest point on a parabola is called the?
Vertex
Solution
Discriminant

Answers

Answer:

The answer is Vertex

Step-by-step explanation:

Answer: Vertex….
Explanation > I just did it

please i will give brainliest if right

Answers

Answer:

s = 132 square cm

Step-by-step explanation:

s = area of base + area of lateral faces

Area of base (triangle)

A = 1/2bh

A = 1/2(3)(4)

A = 1/2(12)

A = 6

There are two bases (triangles), so multiply the answer by 2.

6 x 2 = 12

Area of lateral faces (3 rectangles)

First rectangle:

A = lw

A = 5(10)

A = 50

Second rectangle:

A = lw

A = 4(10)

A = 40

Third rectangle:

A = lw

A = 3(10)

A = 30

Add all the areas together.

s = 12 + 30 + 40 + 50

s = 132 square cm

What is the measure of E​

Answers

Step-by-step explanation:

Represent D and E as x because you don't know them

Now the sum of all these angles is 180

so,D+E+90(THE SIGN AT THE TOP)=180

D which is x the E which is also x

x+x+90=180

2x+90=180

2x=180-90

2x=90

[tex] \frac{2x}{2} = \frac{90}{2} [/tex]

cancel and you will get x as 45

therefore x is 45 degrees

Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and $24.50 per month. Write a function that represents this situation.

a. f(m) = 50m + 24.50
b. f(m) = 50 + 24.50m
c. f(m) = 50m + 24.50m
d. (m) = 50 + 24.50

Answers

Answer: B

Step-by-step explanation:

B is the correct one because the $50 is one time payment and the $24.50 gets charged every month

I think my answer is correct? Not so sure though haha

Hi Guys. My name is ❀ ❀.

What is 3x+6 if x=5?

A. 21
B. 54
C. 1002
D. 30

Answers

3 (5) + 6 = x
15 + 6 = x
21 = x

Answer, A. 21

Answer:

A is the answer

Step-by-step explanation:

3×5+6=15+6=21

PLS HALP!!!
NEED TO SUBMIT IN LESS THAN 30 MINS! >.

Answers

Answer:

y int = -12

vertex = (-4,4)

Axis of Symmetry = x = -4

It has a Maximum

Opens up

Step-by-step explanation:

Mickey tosses a coin 50 times and records 27 heads. Based on these results, what is the probability if
Mickey tosses the same coin three more times, she will get three tails?
a) 112,833: 125,000
b) 23:50
c) 69:50
d) 12,167: 125,000

Answers

The probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

What is probability of an event?

It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.

Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,

[tex]P=\dfrac{27}{50}\\[/tex]

The probability of not getting a head or getting a tail is,

[tex]P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}[/tex]

Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,

[tex]P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}[/tex]

Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

Learn more about the probability here;

https://brainly.com/question/24756209

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A salesperson earns a commission of $589 for selling $3100 in merchandise. Find the commission rate. Write your answer as a percentage.​

Answers

Answer:

19 %

Step-by-step explanation:

589 is what percetage of 3100?

589 / 3100  * 100 % = 19%

Answer:

19%

Step-by-step explanation:

589 = x% of 3100?

589 / 3100  * x/100= 19%

Hopefully this helped you, and have a good day!

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Our government has takenunprecedented measures to defend the homeland- and we will continue to hunt down the enemy before he can strikeThe war on terror is not over, yet it is not endless. We do not know the day of final victory, but we have seen the turning of the side. No act of the terrorists will change our purpose, or weakenour resolve, or alter their fate. Their cause is lost. Free nations will press on to victoryOther nations in history have fought in foreign lands and remained to occupy and exploit Americans, following a battle, want nothing more than to return home. And that is your directiontonight. After service in the Afghan and Iraqi theaters of war-after 100,000 miles, on the longest carrier deployment in recent history-you are homeward bound. Some of you will seenew family members for the first time-150 babies were born while their fathers were on the Lincoln. 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