ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3

Answers

Answer 1

Step-by-step explanation:

relax ! don't panic. just breathe deeply and then focus again.

a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.

this factor is given here as 3/2.

this is called common ratio, because of that building rule the ratio of 2 consecutive terms is

an/an-1 = factor = 3/2

the first term is 3.

so,

a1 = 3

a2 = a1×3/2 = 3×3/2 = 9/2

a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4

we see

an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)

and therefore

a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125


Related Questions

Find the perimeter. Simplify your answer.

Answers

Answer:

32t

Step-by-step explanation:

parallelogram. two opposite sides r equal.

2(8t+2)+2(8t-2)

16t+4+16t-4

32t

John rented a jet ski for $199.95. The rental included a rental fee of $75 and an additional charge of $24.99 per hour. How many hours did John rent the jet ski?

Answers

Answer:

John rented the jet ski for 5 hours

Step-by-step explanation:

Step 1- Subtract $75 from $199.95 and you should end up with $124.95

Step 2- Divide $124.95 by $24.99 and you should end up with 5

Step 3- John rented the jet ski for 5 hours

Answer:

John rented the jet ski for 5 hours.

Step-by-step explanation:

Take the total cost: $199.95, and subtract $75 because that was included in the cost. You get 124.95. Next you divide $24.99 by 124.95, because $24.99 was the amount he paid per hour, and $124.95 is the amount that he paid in total for all the hours that he jet skied, and you get 5 hours.

Is the expression 8 x 85 equivalent to (8 X 835? Explain.

pls help I'm dying lol

Answers

[tex]8 \times 835 = 6680[/tex]

Answer:

the answer will be 6680

PLEASE HELPPP‼️‼️‼️‼️I WILL MARK BRAINLYEST ‼️‼️SOMEONE PLEASE ANSWER ‼️‼️
What is the length of DE?

A. 2.24
B. 2.66
C. 5
D. 1.73

Answers

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

-14 + -8/9 is equivalent to?

Answers

equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements. 3 : corresponding or virtually identical especially in effect or function.

how to do this? help me please:)​

Answers

Answer:

hope it helps.

stay safe healthy and happy.

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why triangle JKL triangle QRS?
Check all that apply.
A. LA
B. LL
C. SAS
D. HL
E SSS
F HA

Answers

Answer:SAS, HL, LL, SSS

Step-by-step explanation:

just did it

Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour

Answers

Answer:

Step-by-step explanation:

that sucks

Answer:

Answer: 20025 gallons per hour

89 times 60= 5340 cups in one minute

5340 times 60= 320,400 cups in one hour

Convert 320,400 cups into gallons and you will get 20025.

Not positive if this is correct but it’s better than nothing lol

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

Answer is in above picture

What is the equation in point-slope form of the line that passes through the point (1, −1) and has a slope of 4?

Answers

Step-by-step explanation:

the general point-slope form is

y - y1 = m(x - x1)

m is the slope.

x1 and y1 are the point coordinates.

so,

y - -1 = 4(x - 1)

and simplified

y + 1 = 4(x - 1)

Pls help i only have 20 mins to complete

Answers

Plz post your question now....

How are slope and derivatives related.

Answers

Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.

Step-by-step explanation:

can anyone help me if so Ty no file answers please.

Answers

Answer:

I think the error in Cynthia's answer is when she multiplied

Step-by-step explanation:

-2x(x^2 - 3) here

It should be = -2x^2 + 4x^2 - 2


Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?

Answers

Answer:

8 miles per week!

Step-by-step explanation:

40 miles / 5 weeks = 8!

so it would be 8 miles per week.

i hope this helps!!

What are the domain and range of the real-valued function f(x)=2/x?

Answers

Answer:

here is your answer for the question

share 5,000 in the ratio of 1:2:3:4​

Answers

Answer:

500 : 1000 : 1500 : 2000

Step-by-step explanation:

sum the parts of the ratio , 1 + 2 + 3 + 4 = 10 parts

Divide the amount by 10 to find the value of one part of the ratio

5000 ÷ 10 = 500 ← value of 1 part of the ratio , then

2 parts = 2 × 500 = 1000

3 parts = 3 × 500 = 1500

4 parts = 4 × 500 = 2000

5000 = 500 : 1000 : 1500 : 2000 in the ratio 1 : 2 : 3 : 4

Total
1:2:3:4 10
500:1000:1500:2000 5000

Steps:

1+2+3+4=10
5000 divided by 10= 500
500x1=500
500x2=1000
500x3=1500
500x4=2000

So the final answer is

500:1000:1500:2000

Divide. Write the answer in simplest form.
2/5 divided by 3

Answers

Answer:

Step-by-step explanation:

0.13 repeating

Sandra has designed this open container. The height of the container is 35 cm.
(a) The cross section of the container is given below. Find the area of the following figure.

Answers

Answer:

329.87cm2

Step-by-step explanation:

Actually include the question next time.

Full Bottom Is semi circle.. find the area of the semicircle that's A1...

Then find the area of the smaller circle marked in red.. that's A2...

Then A1 - A2 will give you bottom area...

Now move to top one... Top one is a semi circle.. find its area A3...

So add both A3 with A1-A2...

Total will give the area of the shape

The area of the cross-section of the container will be 329.87 cm²

To determine the area of the cross-section of the open container, we need to find the area of the semicircle and add them up.

Area of the container:

Area = (2π r²) + (2πrh)

We are Given, the diameter are 17.5 cm and 6.5 cm respectively.

Diameter of the complete circle will be;

(17.5 + 6.5) =24.0

Area of complete circle is π x( 12)²

452.16 cm²

Therefore, the area of the circle A is (π x( 17.5/2)²

= 240.40 cm² (approx).

Therefore, the area of the circle B is (π x( 6.5/2)²

= 33.166

Total area of circle = 452.16 cm² -  33.166

Area = (452.16 cm² -  33.166 cm² ) + (2x 3.14 x 12 x 35)

Area = 329.87 cm²

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Find the value of question mark

Answers

The question mark is 1.75


Step by step:

Values:

Jellyfish: 0.25

Turtle: 0.5

Lobster: 0

Whale: 1

A circular coaster has a diameter of 5 inches. What is its area? write your answer using π.

Answers

Answer:

Step-by-step explanation:

Diameter=5 inches

Area= π[tex]r^{2}[/tex]

r is the radius of coaster.

Radius=diameter/2

Substitute the value of D:

r=5/2

Now

Area=π [tex]\frac{5}{2} ^{2}[/tex]

Area=π([tex]\frac{25}{2}[/tex])

Area=12.5π sq.inches

If you need to ask any questions, please let me know.

slope and y intercept for 2y-8=6x

Answers

Answer:

slope = 3

y intercept = 4

Step-by-step explanation:

Rearrange the equation so y is the subject.

1. Add 8 to both sides

2y = 6x + 8

2. Divide both sides by 2

y = 3x + 4

Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.

2x+y=10

x-intercept?______
y-intercept?______

have to show work

Answers

Answer:

y = 10-2x

Step-by-step explanation:

2x+y=10

y=10-2x

JELLY BEANS A large jar contains B blue Jelly beans and R red jelly beans. A bag of 100 red and 100 blue jelly beans is added to the jar. What is the ratio of red to blue jelly beans in the Jar?


PLEASE HELP ME. Would very much appreciate it ​

Answers

Answer:

100:100

Step-by-step explanation:

100 reds and 100 blues are in there

Can somebody show me how to do this with answers? I don’t understand how my teacher shows me

Answers

If you mean adding text above the underscore press the text button on the left and it will allow you to click above the underscore and add text as an answer to said problem.

3. Write three ratios equal to 4/36

Answers

[tex]{\Huge{\boxed{\mathbb{QUESTION}}}[/tex]

Write three ratios equal to [tex]\frac{4}{36}[/tex]

[tex]{\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}[/tex]

This ratio can be represented as [tex]4:36[/tex]

_______________________________

[tex]{\Huge{\boxed{\mathbb{THE\:RATIOS}}}[/tex]

_______________________________

[tex]1:9[/tex] [tex]2:18[/tex] [tex]3:27[/tex]

_______________________________

[tex]{\huge{\boxed{\mathbb{TERMS}}}[/tex]

Equivalent/Equal ratios - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.

Select the equation of a line in slope-intercept form that passes through (-2, 2) and is perpendicular to the graph of y=1/2 x-2.

Answers

Answer:

y=-2x-2

Step-by-step explanation:

since the line is perpendicular to y=1/2x - 2, the slop is -1/(1/2)=-2. so we have y=-2x+b. now plug in the point given: 2= -2(-2)+b, 2=4+b, b=-2, y=-2x-2

4|x-8|+1>_5 ASAP please

Answers

Answer:

x ≤ 7  or  x ≥ 9

Step-by-step explanation:

4|x - 8| + 1 ≥ 5

Subtract 1 from both sides.

4|x - 8| ≥ 4

Divide both sides by 4.

|x - 8| ≥ 1

x - 8 ≤ -1  or  x - 8 ≥ 1

x ≤ 7  or  x ≥ 9

You can buy laundry product in a 28-ounce bottle for $6.44 or in a 24-ounce bottle for $4.80.

Answers

Answer:

what is the question

Step-by-step explanation:

tell me the question

Which graphs represent functions with the following key features?
- positive on (-∞, ∞)
- increasing on (-∞, ∞)
- approaches 0 as x approaches -∞

Answers:
• Graph U
• Graph V
• Graph W
• Graph X
• Graph Y
• Graph Z

Answers

i think it would be graph U and graph x !! :)

What is the slope of the line for this question?

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

we have 2 points marked on the chart :

(6, -1) and (9, 3)

x changes by +3 (from 6 to 9)

y changes by +4 (from -1 to 3)

the slope is therefore +4/+3 = 4/3

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