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3 years ago

Which sequence is modeled by the graph below?

1 answer:

5 0

First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.

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Point M is chosen random inside the square ABCD. The length of the big and small squares are 10cm and 6cm respectively. What is

r-ruslan [8.4K]

The question is an illustration of probability. The probability of an event is the calculated by dividing the required outcomes by the possible outcomes.

The probability that M will be in the shaded region is 0.64

The given parameters from the question are:

Side length of the big square = 10 cm

Side length of the small square = 6 cm

<em>See attachment for diagram (not drawn to scale)</em>

First, we calculate the area of the squares using:

$Area=Length^2$

The area of the big square is:

$A_1=10^2$

$A_1=100$ ----- this represents the possible outcomes

The area of the small square is:

$A_2=6^2$

$A_2=36$

The area of the shaded region is the difference between the areas of the big and small squares:

$A = A_1 - A_2$

$A = 100 - 36$

$A = 64$ ----- this represents the possible outcomes

<u>So, the probability that M is on the shaded area is:</u>

$P(Shaded) = \frac{A}{A_1}$ --- i.e. the shaded area divided by the total area

$P(Shaded) = \frac{64}{100}$

$P(Shaded) = 0.64$

Read more about probability at:

brainly.com/question/16693319

4 0

3 years ago

Please help me I'm so stupid

Tanzania [10]

Answer:

A. yes she is going to have $157

Step-by-step explanation:

346-189=$157

5 0

3 years ago

You want to draw a sample of people in San Antonio who own 1960s Schwinn Sting-Ray children’s bicycles, a collector’s item. Ther

Anit [1.1K]

Answer:

Snowball Sampling

Step-by-step explanation:

Based on the specific scenario that is being described it can be said that the best type of sampling for you to use would be Snowball Sampling. This is a unique nonprobability sampling technique where subjects for the experiment at hand are recruited from the existing subjects list of acquaintances. Such as in this case it would target all the acquaintances of the Sting-Ray owners.

7 0

3 years ago

Divide the binomial by the monomial to find the quotient -36x^4y + 144x^2 y^6/ -4x^2y

elixir [45]

The way that you would do this is by taking $-4x^{2}$ out of the binomial, or as I like to think about it, 'un-distributing'. :p
$-4x^{2}$ out of $-36x^{2}y$ , you end up with $12x^{2}$ .
When you take $-4x^{2}$ out of $144x^{2}y{6}$ , you get $-36y^{5}$ .
Put it together, and the solution is $12x^{2}$ - $36y^{5}$ .

Hope I helped!!

8 0

4 years ago

Read 2 more answers

How do I figure this one out whats the answer

Semenov [28]

Look at the picture

3 0

4 years ago