1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Karo-lina-s [1.5K]
3 years ago
5

What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?

Mathematics
2 answers:
devlian [24]3 years ago
8 0

The answer would be C.

Luda [366]3 years ago
7 0

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

a_{n} = a r^{n-1}

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

\frac{ar^3}{ar} = \frac{54}{6} = 9

r² = 9 ⇒ r = \sqrt{9} = 3 → C

You might be interested in
Explain how 6/12 and 4/8 are equal fractions
bogdanovich [222]

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

5 0
3 years ago
A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
Bond [772]

Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Step-by-step explanation:

Remember, a quadratic function which has roots x = a, and x = b, can be written as:

p(x) = A*(x - a)*(x - b)

Where A is the leading coefficient. This is the factorized form of a quadratic.

We have the function:

f(x) = (x - 3)^2

Now, we could rewrite this as:

f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)

Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)

Then the only root of f(x) is x = 3.

Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:

A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

4 0
3 years ago
A team of researchers published an article on the study of how vehicles are dispatched based on an airport-based taxi service. T
nikklg [1K]

Answer:

a. The mean would be 0.067

The standard deviation would be 0.285

b. Would be of 1-e∧-375

c. The probability that both of them will be gone for more than 25 minutes is 1-e∧-187.5

d. The likelihood of at least of one of the taxis returning within 25 is 1-e∧-375

Step-by-step explanation:

a. According to the given data the mean and the standard deviation would be as follows:

mean=1/β=1/15=0.0666=0.067

standard deviation=√1/15=√0.067=0.285

b. To calculate How likely is it for a particular trip to take more than 25 minutes we would calculate the following:

p(x>25)=1-p(x≤25)

since f(x)=p(x≤x)=1-e∧-βx

p(x>25)=1-p(x≤25)=1-e∧-15x25=1-e∧-375

c. p(x>25/2)=1-p(x≤25/2)=1-e∧-15x25/2=1-e∧-187.5

d. p(x≥25)=1-e∧-15x25=1-e∧-375

3 0
3 years ago
Finding the function of y=-2/3x +2​
nordsb [41]

Answer:2 x + 3 y = 6

Step-by-step explanation:

in standard form

7 0
2 years ago
Passo a passo a conta 2+x=7
Jlenok [28]
2+x=7    x=5 eso es todo 

7-2=x

7-z=2

7 0
3 years ago
Other questions:
  • Last​ year, my parents had a combined income of
    12·1 answer
  • The Briarwood Middle School chess club has 55 members. 22 of the members are in seventh grade. What percent of the members of th
    12·2 answers
  • 1. To find probability, divide the number of __________ by the number of trials.
    9·2 answers
  • How to solve -2(5n+6)+5(2-7n)
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20-%203" id="TexFormula1" title=" \frac{1}{5} - 3" alt=" \frac{1}
    9·1 answer
  • Question below pls hurry it’s timed
    10·2 answers
  • Pls help I give brain
    6·1 answer
  • A swimming pool is 17.04 metters wide it is didvided into 8 lanes of equal width for swimming laps.How wide is each lane
    6·1 answer
  • Let X=[10 -3] and y=[-1 -5] then the distance between X and y is​
    15·2 answers
  • Which expression is equivalent to the given expression?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!