find 8th and 10th of G.P whose first term and common ratio are 6 and 2 respectively​

Answers

Answer 1

Answer:

a₈ = 768 , a₁₀ = 3072

Step-by-step explanation:

The nth term of a GP is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 2 , then

a₈ = 6 × [tex]2^{7}[/tex] = 6 × 128 = 768

a₁₀ = 6 × [tex]2^{9}[/tex] = 6 × 512 = 3072


Related Questions

Which statement is true about the function f(x)= V-x?
• The domain of the graph is all real numbers.
• The range of the graph is all real numbers.
The domain of the
graph is all real numbers less than or equal to 0.
The
range of the graph is all real numbers less than or equal to 0.

Answers

Answer:

90

Step-by-step explanation:

1+1=2

7. Write a real-world problem that could be represented by the inequality below.
300 - 15x < 200

Answers

Answer:

Joe is selling eggs on the market. He has a total of 300 eggs to sell. He is selling the eggs in batches of x amount of eggs. A customer wants to buy 15 batches of eggs. After the transaction, Joe's total amount of eggs is less than Macy's. Macy has a 200 eggs.

Real world scenarios can be represented by inequalities, and vice versa.

The inequality is given as:

[tex]300 - 15x < 200[/tex]

A possible scenario is as follows

How long will it take the number of people in a train station to be less than 200, if there are currently 300 people at the station, and 15 people leave the station every minute.

In the above scenario;

x represents the number of minutes

Since 15 people leave each minute, then 15x people would have left after x minutes.

The initial population is given as 300.

So, the current population after x minutes is 300 - 15x.

The current population is to be less than 200.

So, we have:

[tex]300 - 15x < 200[/tex]

Read more about inequalities at:

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Bob read 13 books in 5
days. At this rate, how
many days will it take
Bob to read 15 more
books?

Answers

Bob reads about 2.6 books a day. It will take him 6 days to finish reading 15 books. pls mark me as brainliest!
Trust that guy he’s right

What is 16/25 as a decimal?

Answers

Answer:

0.64

Step-by-step explanation:

HELP LAST ATTEMPT ( get marked brainliest show work

Answers

Answer:

31.4 cm2

Step-by-step explanation:

The radius of the circle is 10cm.

The formula for area of a circle is: A= pi r^2.

If we plug this in, [tex]A=3.14(10)^{2}= 134[/tex]

Now divide that by 4. This gives you 33.5, which 31.4 is closest to.

Parker's Pet Parlor sold an average of
17 pets per day for the past 6 days. For
five days they sold 19, 21, 6, 17, and
11 pets. How many pets did they sell on
the 6th day?

Answers

17x6=102 total pets sold over 6 days

19+21+6+17+11=74 total pets sold within the first 5 days

102-74=28 pets sold on the 6th day

1,992 registered voters were ask "Based on what you know, do you believe the United States is winning or losing the War in Afghanistan?" 23% responded we are winning. 38% responded we are losing. 39% responded Don’t Know/No Opinion. The reported margin of error was +/-2%.

What is the lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War?

Enter your answer as a percentage rounded to the nearest tenth of a percent.

Answers

Answer:

losing,losing,losing.

The lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

What is the upper and lower bound?

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy. The upper and lower bounds can be written using error intervals.

The lower bound for the 95% confidence interval can be calculated using the following formula:

Lower Bound = Percentage - (1.96 * Margin of Error)

In this case, the lower bound is calculated as:

Lower Bound = 38% - (1.96 * 2%) = 33.8%

Therefore, the lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

Learn more about the upper and lower bound range here:

https://brainly.com/question/22965427.

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May someone help please and thanks

Answers

Answer:

$13.20

Step-by-step explanation:

84.6-5.4=79.2

79.2/6=13.2

HELP; PLZZZ GIVING 20 BRAINLIEST PLZZZ.

Answers

Answer:

Step-by-step explanation:

In the equation y=kx+1, k is the slope and 1 is the y-intercept.

To find the slope, use the formula k=y2-y1/x2-x1. To use this formula, you need two points. The first point, point M, is given to you. The second point can be the y-intercept, point (0, 1). Now, apply the formula to find the slope: k=3-1/1-0

k=2/1

k=2

We now have the equation y=2x+1.

The next step is to graph the line.

First, graph the y-intercept. Should look something like this: (star represents point. the point is on (0, 1).)

           |

           |

           *

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

           |

           |        

Then, use the slope to find your second point: (the point is on (1, 3)).

           |    *

           |

           *

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

           |

           |        

Draw a line through those two points and you have your answer!

5x +(3x −3)=6x +11
PLEASE HELP FAST

Answers

[tex] 5x +(3x −3)=6x +11\\\\5x+3x-3=6x+11\\\\5x+3x-6x=11+3\\\\2x=14\\\\x=\frak{\dfrac{14}{2}}\\\\x=7 [/tex]

Solve the equation below for x. 3.25x=8.125

Answers

Answer:

2.5

Step-by-step explanation:

8.125/3.25 = 3.25x/3.25

2.5=x

x=2.5

3X squared plus 5X - 2 =0

Answers

Answer: x= -0.3,2

Step-by-step explanation:

Combine your like terms then solve.

Answer:

Step-by-step explanation:

Sum = 5

Product = -6

Factors = (-1) ; 6    {-1+ 6 = 5  & (-1)*6 = -6}

3x² + 5x - 2 = 0

3x² - x + 6x - 2 = 0

x(3x - 1) + 2(3x - 1) = 0

(3x - 1)(x + 2) = 0

True or false? Mno is a right triangle?

Answers

Answer:

I think the answer is true

Step-by-step explanation:

MNO is a right triangle because one of its angles is a right angle and it has a hypotenuse (the longest side) and two legs (the other two sides that are always shorter than the hypotenuse.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

what is the opposite of -7/15

Answers

Answer: 7/15

Step-by-step explanation:

Answer:

opposite is 7/15

Step-by-step explanation:

On a number line -7/15 is the same distance away from 0 as 7/15.

A.) which rational number is larger, 2/3 or 8/11? Justify your answer?

B.) give a rational number that lies between 2/3 and 8/11. Express your answer as a fraction for which both the numerator and denominator are whole number.

Answers

Answer:

A. 8/11 is larger because when using cross multiply 2 times 11 is 22 while 8 times 3 is 24

B. 23/33

Step-by-step explanation:

Find the error and then find the correct answer.​

Answers

Answer:

w = 3

Step-by-step explanation:

The correct one is given below:

- 5 - 4w = - 17

+5            + 5

     - 4w = -12

      - 4      -4          

        w = 3

The error is 4w instead of - 4w

Write the ratio as a fraction in simplest form.

Answers

Answer:

2/3

Step-by-step explanation:

Three and three fifth = 18/5 and 5 and two fifth = 27/5

The ratio 18/5 to 27/5 = (18/5) / (27/5)

                                     =  18/5 ÷ 27/5  

                                     = 18/5 · 5/27

                                      = 18/27

                                      = 2/3

Use the table to add 287 + 56 vertically. The top row will be for regrouping (numbers that are "carried"). The bottom row will be
for your answer. The addends have already been filled in for you.

Answers

Answer:

regrouping: 1  1

first addend: 2 8 7

second addend:  5 6

sum: 3  4  3

Step-by-step explanation:

first: add the digits in the ones column  

2  8  7

+   5  6

        13

because the answer is two digits, you leave the digit in the ones space in the answer, and move the digit in the tens space to the regrouping area above the tens column in the problem. it should look like this:

  1

2  8  7

+  5  6

       3

then add the digits in the tens column. you also add the regrouped number.

   1

2  8  7

+  5  6

   14 3

once again, the answer is two digits, so you repeat the same process, except since the digits are already in the tens place, you move the first digit above the hundreds place:

1   1

2  8  7

+  5  6

   4 3

add the hundreds column:

1   1

2  8  7

+  5  6

3  4  3

this is you answer

have a wonderful day <3

The sum of the number 287 + 56 by vertical table will be 343.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Use the table to add 287 + 56 vertically. Then we have

                                 Hundreds          Tens          Ones

Regrouping                    1                       1            

First addend                  2                      8                7

Second addend            0                      5                6

Sum                               3                       4                3

The sum of the number 287 + 56 by the vertical table will be 343.

More about the Algebra link is given below.

https://brainly.com/question/953809

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*please help! lots of points and brainiest to right answer!2^x+1 = 5^3x
find the exact solution for x using logarithms and isolating x

Answers

[tex]\\ \rm\Rrightarrow 2^{x+1}=5^{3x}[/tex]

[tex]\\ \rm\Rrightarrow ln2^{x+1}=ln5^{3x}[/tex]

[tex]\\ \rm\Rrightarrow (x+1)ln2=3xln5[/tex]

[tex]\\ \rm\Rrightarrow xln2+ln2=3xln5[/tex]

[tex]\\ \rm\Rrightarrow ln2=3xln5-xln2[/tex]

[tex]\\ \rm\Rrightarrow ln2=x(3ln5-ln2)[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{ln2}{3ln5-ln2}[/tex]

If ý = (-7, 2) and Z = (1, -8), find the difference y - z. ý -z = 0​

Answers

Answer:

<-8,10>

Step-by-step explanation:

Apply Regular Subtraction rules

(-8,10)

need help with this algebra ii question

Answers

Answer:

c = 9.

Step-by-step explanation:

Complete the square:

x^2 - 6x + (-3)^2 = 0

x^2 - 6x + 9 = 0

(x - 3)^2 = 0

so the root is 3 and c = 9.

Step-by-step explanation:

Subtract

x2

from both sides of the equation.

−6x+c=−x2

Add

6x

to both sides of the equation.

c=−x2+6x

Helllp me pls! I need help with this question “use this graph to complete the following statements “

Answers

First one: 3
Second one: 4
Third one: 7

2 inequalities that compare -6 and 3

Answers

Answer:

Step-by-step explanat ion-6< 3 :

somebody pls help me for question a. i will mark u as brainliest. promise.

a) simplify (cosec^2 a-1) (sec^2 a sin^2 a)

Answers

Step-by-step explanation:

[tex](\csc^2 a - 1)(\sec^2 a\sin^2 a)[/tex]

[tex]\:\:\:\:\:\:=\left(\dfrac{1 - \sin^2 a}{\sin^2 a}\right)\left(\dfrac{\sin^2 a}{\cos^2a}\right)[/tex]

[tex]\:\:\:\:\:\:= \dfrac{1 - \sin^2 a}{\cos^2 a}[/tex]

Using the identity [tex]\sin^2 a + \cos^2 a = 1[/tex]

[tex](\csc^2 a - 1)(\sec^2 a\sin^2 a) = \dfrac{\cos^2 a}{\cos^2 a} = 1[/tex]

Paulo has won the lottery. He is offered a series of payments of $10,000 per year for 10 years. What is the present value of these payments at an interest/discount rate of 6%

Answers

The present value of the payments is $73,600.87.

Present value of a cash flow is the value of the cash flow today. This is determined by adding the discounted cash flows of the cash flows together.  

Discounted year 1 cash flow: 10,000 / (1.06) = 9,433.96

Discounted year 2 cash flow: 10,000 / (1.06)^2 = 8,899.96

Discounted year 3 cash flow: 10,000 / (1.06)^3 = 8,296.19

Discounted year 4 cash flow: 10,000 / (1.06)^4 = 7,920.94

Discounted year 5 cash flow: 10,000 / (1.06)^5 = 7,472.58

Discounted year 6 cash flow: 10,000 / (1.06)^6 = 7,049.61

Discounted year 7 cash flow: 10,000 / (1.06)^7 = 6,650.57

Discounted year 8 cash flow: 10,000 / (1.06)^8= 6,274.12

Discounted year 9 cash flow: 10,000 / (1.06)^9 = 5,918.98

Discounted year 10 cash flow: 10,000 / (1.06)^10 = 5,583.95

The sum of the discounted cash flows = $73,600.87

A similar question was solved here: brainly.com/question/9641711?referrer=searchResults

A child sitting on the edge of a merry go round travels 22m in one full turn, What is the diameter of the merry-go-round?​

Answers

Answer:

Diamter=7 meter

Step-by-step explanation:

One full turn means we have 360° of theta which equals 2pi in radinas

And arc length is 22 so using the equation theta= L/r = 2pi=22/r so r= 3.50 and diameter= 2r =7 m


What is the equation? NO SPACES

X=30

Answers

Given the following angles of the triangle:

< 90°, < 30°, and < 2x °, and that the sum of all angles must equal 180°, to setup the equation for x, we must create an equality statement:

< 90° + < 30° + < 2x° = 180°

Now, to isolate 2x:

We need to subtract < 90° and < 30° from both sides:

< 90° - < 90° + < 30° - < 30° + < 2x° = 180° - < 90° - < 30°

2x° = (180° - < 90° - < 30°)
Next, we must divide both sides by 2 to isolate x:

2x°/2 = (180° - < 90° - < 30°)/2

Therefore, the equation for x is:

x=(180-90-30)/2

Given:

where , , , , are unique positive single-digit numbers, what is the number of possible combinations for and to satisfy this equation?

Answers

Answer:

4 combinations ⇒ XYZ = 358, 457, 754, 853

Step-by-step explanation:

Sum of two digits can be less than 20, therefore A = 1 is the only option for A, since AB ≤ 19.

Substitute A:

XYZ + ZYX = 1B11

Then Y = 0 or Y = 5.

Y = 0 doesn't work as it leads to B = 1, which is a repeat of A.

So Y = 5.

Substitute Y:

X5Z + Z5X = 1B11

We see B = 2 is the only option for B, since X + Z = 11, add 1 to 1 (5 + 5 gives us 1 for 10).

Substitute B:

X5Z + Z5X = 1211

Possible options for X and Z:

2 + 9 = 11, not considered as 2 is repeated3 + 8 = 11, it gives us 358 + 853 = 12114 + 7 = 11, it gives us 457 + 754 = 12115 + 6 = 11, not considered as 5 is repeated6 + 5 = 11, same as above7 + 4 = 11, it gives us one more option 754 + 457 = 12118 + 3 = 11, it gives us 853 + 358 = 12119 + 2 = 11, not considered as 2 is repeated

Solve inequality in interval notation Y^2>-5y-9

Answers

it’s going to be negative infinitely, infinitely.

how to get 20% of 1342​

Answers

Answer:

268.4

Step-by-step explanation:

20% in decimals is 0.2

to find 20% of 1342, you multiply 0.2 by 1342

0.2 x 1342 = 268.4

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