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

there are 30 students in Mr. Robert's classroom. 45% of the students ride the bus how many students ride the buss?

Answers

Answer:

About 13 students

Step-by-step explanation:

30*45%=13.5

13.5<14

Find the perimeter. Simplify your answer.

Answers

Answer:

4p+23

Step-by-step explanation:

I'm guessing you add all of the sides to get the perimeter, so 4p+5+10+8 is 4p+23.

Can someone answer this with a short clip of singing a song for 100 points and Branielist. PLLLSSSSS ACTUALLY DO ITTTT

Answers

Answer:

ok

Step-by-step explanation:

hold on

a square table has am area of 15476cm^2 find the perimeter of the square​

Answers

Answer:

497.6 cm to 1 decimal place.

Step-by-step explanation:

→ Square root the area to find the length

√15476 = 124.4025723

→ Multiply the answer by 4 to get the perimeter

124.4025723 × 4 = 497.6102893

Answer:

497.6 cm

Step-by-step explanation:

Perimeter = 4 x a

Since area is given we must square root a

P = 4 x square root ([tex]\sqrt{15476}[/tex])

P = 4 x (124.40)

P = 497.6 cm

WILL GIVE BRAINLISET
Find the equation of the straight line parallel to the y-axis and pass through the point (-2, 3). _____

Answers

X + 4 = 0

Explanation

The equation of a line parallel to y axis is

x = k where k is constant. …..(1)

It is given that the line parallel to y axis passes through the point (-4,-5).

Therefore (-4,-5) will satisfy equation (1)

Hence , -4 = k

Equation (1) becomes

x = -4

=> x + 4 = 0

Hope it helps.

Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?

25

15

375

10

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{25}{375} = \frac{1}{x}[/tex]

Cross multiply to get 25x = 375

Divide each side by 25 to get x = 15

How to multiply decimal numbers.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation: Hope it helps!!!!

a 84m2 b 111m2 c 125m2 d 150m2

Answers

Answer:

B

Step-by-step explanation:

:)

Answer:the answer is 84m2

Step-by-step explanation:

40 pts & Brainliest to first Correct. PLZ HELP ASAP

Answers

Answer: [tex]16x^4y^2a^6[/tex]

Step-by-step explanation:

just apply to the power of 2 to every term

-4 times -4 is 16

x^2 to power of 2 is 2 times 2 so x^4

y^2 is y^2

a^3 to power of 2 is 3 x 2 = 6 so a^6

16x^4y^2a^6

Answer:

16x^4y^2a^6

Step-by-step explanation:

Do this step by step

16x^4y^2a^6

Please give brainliest!

Can anyone solve this from 1 to 3?​

Answers

Answer:

you know, you can't post more than one question

Step-by-step explanation:

Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?

Answers

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

Mandy has 1 drink and Karl has 2 Mandy takes all of Karl's drinks

Answers

Answer:

What is this question asking? If you give me a question to answer I can help you.

Step-by-step explanation:

what is the sum of the polynomials
(8x^2-9y^2-4x) + (x^2-3y^2-7x)

Answers

9x^2-12y^2-11x is the answer!

Hope this helps.

Step by step:

Just ask! I will add it here :)

Answer:

[tex]9x^{2} - 12y^{2} - 11x[/tex]

Step-by-step explanation:

[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]

In the first step, I rearranged the equation and put like terms together.

Then I just combined the like terms.

I hope this helps!

Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.

Answers

Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

Recall:

The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).

Given the trigonometry ratio of sin A = 3/5

Recall that, sin ∅ = opp/hyp (SOH)

Thus, this means that, in sin A = 3/5,

A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent side

Thus, find the value of b by applying the Pythagorean theorem.

[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)

Substitute

[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]

Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

Learn more about Trigonometry ratios on:

https://brainly.com/question/4326804

A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b. a curvilinear relationship between two weakly associated dependent variables. c. a uniform normal distribution between dependent variables. d. a straight-line relationship between the independent and dependent variables. e. the existence of two independent variables for every dependent variable.

Answers

The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.

Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.

When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.

Learn more about regression analysis in https://brainly.com/question/1305938

A cake measures 18 centimeters in diameter. Find how much room there is to spread frosting on the top of the cake.Complete the answer sentence. You may consider writing your answer to the hundredths place and using the calculator to help you solve.

Answers

A cake is a circle using the circumference of a circle formula, 2pir
Diameter=18
As radius is half of the diameter radius=9
2*9*pi
18pi= 56.5(1dp)

What is the length of the triangle shown below

Answers

[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\cos 45^{\circ} = \dfrac{s}{10\sqrt 2}\\\\\implies \dfrac 1{\sqrt2} = \dfrac{s}{10\sqrt 2}\\\\\\\implies \dfrac s{10} = 1\\\\\implies s= 10[/tex]

How to find zeros of cubic polynomial.

Answers

Step-by-step explanation:

1. First divide by the leading term, making the polynomial monic.

2. Then, given x

2 + a1x + a0, substitute x = y − a1  to obtain an equation without the linear term.

(This is the “depressed” equation.)

3. Solve then for y as a square root. (Remember to use both signs of the square root.)

4. Once this is done, recover x using the fact that x = y − a1

How many 3/4s are in 2? Draw a tape diagram

Answers

Answer:

8/3, or 2 if you want a whole number

Step-by-step explanation:

Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)

https://www.coursehero.com/tutors-problems/Math-Other/20050339-Consider-the-problemHow-many-34s-are-in-2-1Describe-a-multiplicati/#best-answer

How to divide long division with decimals.

Answers

Answer:

If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.

Step-by-step explanation:

if anyone has mine.craft education edition, i just created a world and here the code

rail, llama, llama, cookie

:)))

Answers

Uh so like are llamas green

100 IF U GET THIS RIGHT!

Answers

Answer:

Eq

y = mx + c

m = slope

c = intercept

y = 2/9 x + (-2)

slope m=2/9

PLEASE HELP AND EXPLAIN ALSO SHOW WORK​

Answers

Answer:

x=10

Step-by-step explanation:

Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.

2x = 18+5-3

2x=20

Divide both sides of the equation by 2 to make x the only variable left.

x=10

How to integrate absolute value.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
k =
y=

Answers

Answer: Y=20

Step-by-step explanation:

X is doubled from 3 to 6 meaning that y is also doubled.

Double 10 is 20 so y=20.

How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution​

Answers

Answer:

c. infinitely many solutions


solve the equation


x/-14 = 13

x = -52

x = 17

x = 52

x = -13/4

Answers

x/-14 = 13
x=13+14
x=27

Using the equation R(x) = x - 2,000 What would be the y value when x is 70,000?

72,000
68,000
74,000
50,000

Answers

Answer:

68k

Step-by-step explanation:

you replace x with 70,000 and subtract 2k then you have your answer :)

Dont forget to say thanks if this helped :)

which best describes the relationship between the 125 angle and angle a

Answers

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

Which ratio is equivalent to 5:9?
O 10:36
O 10:27
O 20:27
O 20:36

Answers

Answer: 20:36. Explanation: If you multiply 5 and 9 by 4, you will get 20 and 36!
20:36 because 5•4=20 and 9•4=36
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