All categories

3 years ago

5 pts

Mathematics

1 answer:

ruslelena [56]3 years ago

4 0

Answer:

{8, 24, 72, 216, 648}

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.

In this question:

First element is 8, common ratio of 3. So

Second term: 8*3 = 24

Third term: 24*3 = 72

Fourth term: 72*3 = 216

Fifth term: 216*3 = 648

So the answer is {8, 24, 72, 216, 648}

You might be interested in

A building engineer analyzes a concrete column with a circular cross section. the circumference of the column is 18 \pi18π18, pi

BlackZzzverrR [31]

Answer: The area of the cross section is 81pi meters.

Since we are given the circumference, we can write and solve an equation about the diameter.

C = pi(d)
18pi = pi(d)
18 = d

Since the diameter is 18, the radius is half of that or 9 meters.

Now, plug 9 as the radius into the area formula.

A = pi(r^2)
A = pi(9^2)
A = 81pi

5 0

3 years ago

An old car has to travel a 2-mile route, uphill and down. Because it is so old, the car can climb the first mile, the ascent, no

Molodets [167]

Answer:

2s + 30 = 2s

Step-by-step explanation:

Time up hill + time down hill = total time

Multiply equation by 30s; results

2s + 30 = 2s

3 0

2 years ago

If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace

valina [46]

If $W$ is a random variable representing your winnings from playing the game, then it has support

$W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}$

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So $W$ has PMF

$P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}$

You can expect to win

$E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}$

or about $1.46 per game.

3 0

3 years ago

Please help me in this one!!

olga2289 [7]

A^3
a to the power of three

6 0

3 years ago

Read 2 more answers

If g(x ) = 3x - 5, then g -1(x )=

NemiM [27]

G(x) = 3x - 5

let g(x) = y

y = 3x - 5

y + 5 = 3x

3x = y + 5

x = (y + 5)/3

From y = g(x), x = g⁻¹(y)

x = (y + 5)/3

g⁻¹(y) = (y + 5)/3

g⁻¹(x) = (x + 5)/3

6 0

3 years ago