Find the 13th term of the geometric sequence 6, -30,150

Answers

Answer 1

Answer:

            a₁₃ = 1 464 843 750

Step-by-step explanation:

[tex]a_1=6\\a_2=-30\\a_3=150\\\\\dfrac{a_2}{a_1}=\dfrac{-30}{6}=-5\quad\wedge\quad \dfrac{a_2}{a_2}=\dfrac{150}{-30}=-5\quad\implies\ \ q=-5\\\\\\a_n=a_1\cdot q^{n-1}\\\\a_{13}=a_1\cdot q^{12}=6\cdot(-5)^{12}=6\cdot244140625=1464843750[/tex]


Related Questions

A $35,000 investment at 5.5% for 30 years. Find the future value.​

Answers

Answer:

$174438.30

Step-by-step explanation:

35000 × 1.055^30

(original amount) × (decimal percentage)^(years)

35000 × 1.055^30 = 174438.2951

round it up to = $174438.30

Which shows the best estimate of the quotient of 377÷ 12? between 20 and 30 between 30 and 40 between 200 and 300 between 300 and 400​

Answers

Answer:between 30 and 40

Step-by-step explanation:

Answer:

ikfffghhhhhhggggy7

Step-by-step explanation:

xvgdedfgfffrtttttgggg

Please help
Here is a list of numbers:
-16, -20, -10, 1, -10, 5, 0 ,8 ,2 ,-7
State the median.

Answers

It's -3.5 sorry forgot to put in order

Tom has 25 bumblebee marbles and Marcus has a few more than Tom. If they have 56 marbles in all, how many bumblebee marbles does Marcus have?

Answers

Answer:

56-25

= 31

Step-by-step explanation:

Answer: Marcus has 31 marbles

Step-by-step explanation: Tom has 25 marbles and there is 56 total so you subtract 25 from 56 and it sums up to 31. Your welcome.

Please help thanks!!!

Answers

Answer:

a)12xy

b)30pqr

Step-by-step explanation:

This question is pretty simple you just need to multiply all the numbers together then add the letters at the back.

Answer:

Answers are below.

Step-by-step explanation:

a) 3x x 4y = 12xy

b) 2p x 3q x 5r = 30pqr

Hope this helps :)

v + 2 > - 19 I need help solving​

Answers

Answer:

first figure out what v is then add it with 2 then compare

Step-by-step explanation:

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?​

Answers

Answer:

C

Step-by-step explanation:

The number of tickets the airline still sells will be 88. Then the correct graph is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

An airplane can seat up to 175 passengers.

The airline has already sold 87 tickets for a flight on the airplane.

Then the graph represents the solution to the inequality that the number of tickets the airline still sells will be

Let x be the number of the ticket which need to sell. Then the inequality equation will be

x + 87 ≤ 175

       x ≤ 175 - 87

       x ≤ 88

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Which statement is true about a translation?

Answers

Answer:

A

Step-by-step explanation:

A translation is the same shape (cloned)

Naruto bought a 3 bowls of ramen for $12.50 each. He got a $5.63 discount on his
bill. What percent discount did he receive? Please help this is due very very soon!!!! With explanation thank you!!

Answers

Answer:

15.0133333333% discount

Step-by-step explanation:

Answer:

15.01333333333333

Step-by-step explanation:

1. Solve the equation for X

5x — 2 + x = 9 + 3x + 10

2. Solve the equation for k

2 (k—5) + 3k = k + 6

HELPPP PLSSS NEED ANSWERS ASAP!! Thankyou so much in advance ❤️❤️❤️

Answers

the first one is x=7
the second one i think is k= 11/3

Help pleaseee URGENT!!!!!!!show work

Answers

Answer:

look below.

Step-by-step explanation:

When there's a letter, it represents a variable. You need to find the value (number) of this variable. This can be done by trying to isolate (put it by itself) the variable. So now, here is how to do it:

1) -2j + 6 = 2j - 8

-2j - 2j = - 8 - 6

-4j/4 = -14/4

j = 14/4

j = 7/2

2) 4h + 6 = 2h - 8

4h - 2h = - 8 - 6

2h/2 = - 14/2

h = -7

3) 9w + 9 = 3w - 15

9w - 3w = - 15 - 9

6w/6 = -24/6

w = -4

4) 45 = -9(e + 8)

45 = -9e - 72

45 + 72 = -9e

117/-9 = e

e = -13

5) 35 = -7t

35/-7 = t

t = -5

6) 12k + 13 = 8k + 33

12k - 8k = 33 - 13

4k/4 = 20/4

k = 5

ILL MARK U BRAINLIEST!!

Answers

I think it’s a sorry If it’s wrong

Answer:

c

Step-by-step explanation:

what is the lower bound of 8000? someone help me pleaseeee

Answers

Answer:

7500

Step-by-step explanation:

The man rushes through your door with his fists in the air, all of the sudden your vision went black, and he had stolen your points.

which inequality is a true statement.

select all that correct answers.

a.-5 -7
b.-5=-7
c.-5- -7
e.-5-> - 7

Answers

Answer:

c

Step-by-step explanation:

bc im smart ffff f f g g g g g g. t t t t t

someone help 6th grade math i will give brainliest

Answers

Answer:

20%=160

Step-by-step explanation:

800*20/100 or 800/5

Answer:

160

Step-by-step explanation:

Put them in this form:  20/100  /800

Cross multiply to get 16000

Divide by 100: 160

Hope this helps!

An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday

Answers

Answer:

x=16

Step-by-step explanation:

Write the following linear function in slope intercept form.


Group of answer choices
y=-2x+4
y=-4x+2
y=4x+2
y=2x+4

Answers

Answer: y = 2x + 4

suppose: the equation of the line is y = ax + b(a ≠ 0)

the line passes through (0;4) and (-2;0) => 4 = b

                                                                       -2a + b = 0

⇔ b = 4

    a = 2

=> y = 2x + 4

Step-by-step explanation:

please help asap im super behind :(

Answers

Answer:

y   x

2   3

3   6

4   9

5   12

Step-by-step explanation:

if y = 2 then x = 3

if y = 3 then x = 6

if y = 4 then x = 9

if y = 5 then x = 12

What is the value of the following expression?

(−81)(−9)

Answers

Answer:

(−81)(−9) = 729

Step-by-step explanation:

Multiply -81 by -9 and you get 729

Answer:

729

Step-by-step explanation:

The expression (−81)(−9) will give the value of 729. Step-by-step explanation: The given expression is (−81)(−9) .

please help, no idea what to do

Answers

Answer:

It would be a vertical line over the x value 1. Domain would be 1 and range would be all real numbers.

Step-by-step explanation:

Since x=1 then all values of y would have their  x to be 1.

Answer:

i think it is one for all of it i have never seen a question like this sorry

Step-by-step explanation:

The following two-way table shows the data for the students of two different grades in a school:


Member of Public Library Not Member of Public Library Total
Grade 6
25
3
28
Grade 7
23
7
30
Total
48
10
58


Based on the relative row frequency, the students of which grade are more likely to be members of the public library?
The students of both grades are equally likely to be members of the public library
No conclusion can be drawn about the chances of a student being a member of the public library
Grade 7
Grade 6

Answers

Answer:

6th

Step-by-step explanation:

the chart says not, 7th has majority

The students of grade 6 are more likely to be members of the public library

What is probability?

Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.

The students of which grade are more likely to be members of the public library are determined below:

Grade 6:

The total number of students who are a member of the public library = 25

The total number of students = 28

P(grade 6 students who are members of the public library.) = 25/28

= 0.892

Grade 7:

The total number of students who are a member of the public library = 23

The total number of students = 30

P(grade 6 students who are members of the public library.) = 23/30

= 0.767

We can see that grade 6 students are more likely to be members of the public library.

Therefore, we have found that the students of grade 6 are more likely to be members of the public library.

Learn more about probability here: https://brainly.com/question/7965468

#SPJ2

Akhira started her own landscaping business. She charges $6 an hour for mowing lawns
and $11 for pulling weeds. In September she mowed lawns for 63 hours and pulled
weeds for 9 hours. How much money did she earn in September?

Answers

Answer:

$477 in September

Step-by-step explanation:

378 + 99

So if she worked for 63 hours and earns 6 dollars a hour your answer is 378 and if she worked for 9 hours and earns 11 dollars your answer is 99

If JL = 16, KM = 4x-1, and KM is a perpendicular bisector of JL, determine which of the following values are correct. Select ALL that apply.
A.x = 3
B.JK = 11
C.KM = 15
D.KL = 17
E.Perimeter of triangle KLM = 22
F.Perimeter or triangle JKL = 50

Answers

*see attachment for diagram

Answer:

C.KM = 15

D.KL = 17

F.Perimeter or triangle JKL = 50

Step-by-step explanation:

Given:

JL = 16,

KM = 4x-1

JK = 6x - 7

KL = 5x - 3

✔️Thus, let's find the value of x

Since KM is a perpendicular bisector of JL, it means JM = LM = ½*16 = 8

KM in ∆KJM is equal to KM in ∆KLM.

The angles opposite the two corresponding congruent sides in both triangles are also congruent to each other. Therefore, the third corresponding side and angles would be congruent to each other.

Thus:

JK = KL

6x - 7 = 5x - 3 (substitution)

Collect like terms

6x - 5x = 7 - 3

x = 4

✔️Find JK:

JK = 6x - 7

Plug in the value of x

JK = 6(4) - 7

JK = 24 - 7

JK = 17

✔️Find KM:

KM = 4x - 1

Plug in the value of x

KM = 4(4) - 1

KM = 16 - 1

KM = 15

✔️Find KL:

KL = 5x - 3

Plug in the value of x

KL = 5(4) - 3

KL = 20 - 3

KL = 17

✔️Find the Perimeter of ∆KLM:

Perimeter of ∆KLM = KM + KL + LM

= 15 + 17 + 8

= 40

✔️Find the Perimeter of JKL:

Perimeter of ∆JKL = JK + KL + JL

= 17 + 17 + 16

= 50.

The correct values are:

C.KM = 15

D.KL = 17

F.Perimeter or triangle JKL = 50

Find the constant of proportionality for the table values. Enter your answer as a decimal.
х 2,3,4,5
у 3,4.5,6,7.5

Answers

Answer: the constant proportionality is 1.5 x X = y

Step-by-step explanation:

Question is in the picture :)

Answers

A just multiply them i got the answer

Answer: The answer is C. :)

Step-by-step explanation: put it in a calculator like... 3.15 divided by 4.2 and you'll get 0.75 :)

In order to attend the carnival, students must pay a $5 admission fee plus $0.75 per ride ticket, How many tickets are purchased if a student spends $11?

Answers

Answer:

well there would be 1 ticket because if you had two then the total would be over 11 dollars it would be 12 dollars so it would have to be one ticket

does anyone know the answer to this question.....0.5x + 1.75 = 10

Answers

Answer:

x = 16.5

Step-by-step explanation:

0.5x + 1.75 = 10

Subtract 1.75 from both sides:

0.5x = 8.25

Divide both sides by 0.5

x = 16.5

Check your work!

0.5(16.5) + 1.75 = 10

8.25 + 1.75 = 10

10 = 10

x = 16.5

Matthew is starting his own landscaping business. Matthew thinks he can
charge $10.50 per hour. If he knows he will only be able to work 120 hours
per month (that's 30 hours per week), how much money will he earn each
month?

Answers

Answer:

1,260

Step-by-step explanation:

Multiply how much you get by the hours. Hope this helps!

Once a large pink​ ribbon, the sign of the fight against breast​ cancer, was erected out of pink​ post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximately 3420 square​ feet, and the width of the billboard was approximately 57 feet, what was the height of this​ billboard?

Answers

Answer:

60 feet

Step-by-step explanation:

The shape of a billboard = Rectangle

Area of a rectangle = Length(Height) × Width

Area = 3420 square feet

Width = 57 feet

Height = Area of the billboard/Width

Height = 3420 ft²/57 ft

Height = 60 feet

Therefore, the height of the billboard is 60 feet

A math test has 12 multiplication problems and 24 division problems.

What is the ratio value of division problems to total problems?

Type your answer as a fraction in simplest form.

Answers

Answer:

3 bc its facts

Step-by-step explanation:

no

Answer:

2:3

Step-by-step explanation:

Total problems=12+24=36

So since there are 24 division problems, 24:36 is the answer

But we must simplify it

So it is 2:3

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