What is the value of the fourth term in a geometric sequence for which ay =
10 and r = 0.5?

Answers

Answer 1

Answer:

1.25

Step-by-step explanation:

a = 10 and r = 0.5

The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.

In this case n = 4, since we're looking for the fourth term.

so,

Un = ar^n-1

= ar^4-1

= ar^3

U4 = 10 × 0.5^3

= 10 × 0.125

= 1.25


Related Questions

This cylinder is 7 inches tall and has a volume of 63pi in3. what is the area of the cross section​

Answers

Answer:

area of cross section of cylinder is  inch²

Step-by-step explanation:

Given : Cylinder is 7 inch tall and has a volume of inches³.

We have to find the area of cross section of cylinder.

Area of cross section of cylinder =

To find the cross section first find radius.

Given Volume of cylinder = inches³

Also , Volume of cylinder =

Thus,

Divide both side by 7, we get,

On simplifying , we get,

Since, radius has to be positive, thus neglecting negative term.

Thus, radius of cylinder = 3 inch

Thus, area of cross section of cylinder =

area of cross section of cylinder =

Thus, area of cross section of cylinder is  inch²

Step-by-step explanation:

during one year, a family made 4 trips to the water park. the distance from their house to the water park is 39 miles. how many miles did the family drive in 4 trips​

Answers

Answer:

156 Miles in 4 trips.

Step-by-step explanation: 39*4=156

Answer:

156 Miles

Step-by-step explanation:

If they drove 4 trips and each trip is 39 miles you would multiply 4x39

Cedric multiplied (6x+11) by a second factor to get a product of 36x^2-121. Find the second factor. ​

Answers

Answer:

6x-11

Step-by-step explanation:

36x² - 121 is the difference of squares.

36x² - 121 = (6x+11)(6x-11)

22 points

Help ASAP Please

Given the equation y = -3x + 1 find the values for y given the value x

If x = 3 then y =

If x = -3 then y =

If x = 4 then y =

If x = -2 then y =

Answers

Answer:

If x = 3 then y = -8

If x = -3 then y = 10

If x = 4 then y = -11

If x = -2 then y = 7

hope this helps! ask me if you don’t understand!

Find the greatest common factor 27x2y2, 45x2

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

In APQR, PR is extended through point R to point S, m_PQR = (2x + 1)º,
mZQRS = (10x – 10°, and mZRPQ = (3x + 14)°. What is the value of
x?

Answers

Answer:

I’m doing i-Ready and my question hasn’t been answered

Step-by-step explanation:

Factor this expression
15y - 30

Answers

Answer:

2

Step-by-step explanation:

15y-30. Factor by finding the larger common factor.

15*y-15*2

15(y-2)

You can't solve this unless it is written as an equation:

 

15(y-2)=0

%2815%2F15%29%28y-2%29=0%2F15

y-2=0

y-2%2B2=0%2B2

y=2

Happy Calculating!!!

21 I gotcha I’m cracked

5. Five-eighth of a number is 15. What is the number?
Your answer

Answers

Answer:

I think it is 24

Step-by-step explanation:

15÷5=3

3×8=24

Answer:

24

Step-by-step explanation:

divide 15 by 5 to get 3 which is equal to 1/8 of the number. then just multiply 3 by 8 to get 24.

y+8=3(x+1) slope intercept form

Answers

Answer:

Step-by-step explanation:

y + 8 = 3x + 3

y = 3x - 5

HELP ASAP! I need help with 11 and 12 please!! Thank you!

Answers

Answer:

Q11 part 4 is the correct option

Q12 part 4 is also the correct option

I want the answer only, Due now.

Answers

Answer:

Write the equation then try the equation with the numbers from choice A then go down. do all of them. which ever ends up equal is the right answer.

Step-by-step explanation:

I will do the math but you try it first, then ill do the math step by step in the comments, but only if you try it first. im trusting you to try.

Does anyone know this I don’t know what to put

Answers

Answer:

110

Step-by-step explanation:

3x+5+2x=180

Step 1: Simplify both sides of the equation.

3x+5+2x=180

(3x+2x)+(5)=180(Combine Like Terms)

5x+5=180

5x+5=180

Step 2: Subtract 5 from both sides.

5x+5−5=180−5

5x=175

Step 3: Divide both sides by 5.

x=35

35*3+5=110

A set of three scores consists of the values 6, 3, and 2.
Σ2(X – 3)

Answers

Answer:

3. Variável Aleatória (v.a.): Uma função X que associa a cada elemento do espaço ... Se o conjunto de valores é qualquer intervalo de ... P (X < 6) = P(X=5) + P(X=4) + P(X=3) + P(X=2).

Jordan invests £2100 into his bank account.
He receives 5.1% per year simple interest.
How much will Jordan have after 2 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£4414.20

Step-by-step explanation:

Find out how much is 1% of the money invested in his bank account.

100% = 2100

1% = 2100 ÷ 100 = 21

Find out 5.1% which is his interest that he receives every year.

5.1% = 21 x 5.1 = 107.1

Find out how much he receives including interest every year.

2100 + 107.1 = 2207.1

Find out how much he will have after 2 years.

2207.1 x 2 = 4414.2

You do not need to estimate as there isn't an estimated for nearest penny as it has been estimated for you.

Choose the equation rhat represents the fraction 1/8. 7÷8, 1÷8, 8÷7, 8÷1

Answers

Answer:

7÷8 and 8÷7

Step-by-step explanation:

: 5 times the difference of x and 4.

Answers

Answer:

i think -6 but idek

Step-by-step explanation:

5(x-4) I believe because you can’t know x so it has to stay as a variable in parentheses with the -4

While commuting, a driver sets her smartphone to randomly play songs from a pre-selected list. Of the songs on the list, 6 are rock, 5 are hip-hop, and 3 are country. What is the probability that the first song played is rock?

Answers

Out of all the songs played , the probability that the first song played is rock would be, 2/7

Answer: 6/14

Step-by-step explanation: There are 6 rock songs and a total of 6+5+3= 14 songs. So, the probability is 6/14

Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4

Answers

Answer:

A. -16

Step-by-step explanation:

Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].

We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.

Evaluate p(18,3) probability

Answers

Answer:

what?

Step-by-step explanation:

Whole page for 81! Good luck!

Answers

Answer:

Prime number: A prime number has factor of only 1 and itself.

Ex: 3: 1 and 3 are the only ways to compose 3.

A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

24=2 × 2 × 2 × 3

24= 2^3 x 3

sorry idrk if they are all right

HELP I WILL MARK U BRAINLIEST

Simplify. Write your answer using exponents

Answers

Answer:

81^84375

Step-by-step explanation:

x-1=y what is the answer plz give me the answer

Answers

Answer:

X = 0Y = 1

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...

a elevator is on the 10 floor it goes down 6 floors and then up 4 floors what floor is the elevator on now

Answers

Answer:

8th floor

Step-by-step explanation:

10 - 6 = 4

4 + 4 = 8

Answer:

8 floor

Step-by-step explanation:

gfhshddhdhfhdhrbyuygtv

plz help my friend plz and thank you

Answers

The answer is prob c

Answer:

8.7 ≈ 9

Step-by-step explanation:

2πr = 55, so r = 55/(2*3.14) ≈ 8.7579...

What is the parallel line and slope of a perpendicular like for 3x+5y=4

Answers

Answer:

a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5

Step-by-step explanation:

3x + 5y = 4

5y = -3x + 4

y = -3/5x + 4/5

Guys I’m struggling help please ! I need by tomorrow!

Answers

Answer:

if you are not finding the function but the range:

(i cant see the full graph so the first part may not be accurate)

[tex]-8\leq y\leq 4[/tex]

[tex]y=3[/tex]

[tex]2<y\leq -4[/tex]

WILL MARK BRAINLYIST

Answers

Answer:

C

Step-by-step explanation:

Hope it helps!

The function g(x) is defined as shown
What is the value of g(0)?
0-2
-1
3x-2, 45X-2
3
g(x) = -X-1, -25x< 1
6. 15x<3
6
Oo

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 2 \leqslant 0 < 1[/tex]

g(x)=0-1=-1

The value of the function g(0) is -1.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function g(x) = 3x-2,  -4≤x<-2

g(x) = -x-1,  -2≤x<1

g(x)=6, 1≤x≤3

We need to find value of g(0).

Let us check at which interval the value zero lies.

The zero lies in the interval  -2≤x<1.

So we have to use the function g(x)=-x-1

Now put x as zero

g(0)=-0-1

=-1

Hence, the value of the function g(0) is -1.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

pleaseeeee help (15 points) ​

Answers

Answer:

Step-by-step explanation:

what are the vocabulary words that u are supposed to use?

Please help I need it thank you

Answers

Answer:

1. b

2.c

3.a

Step-by-step explanation:

welcome

Answer:

1) b: 1,176 sc

2) c: 100 sf

3) a: 225.36

Step-by-step explanation:

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