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3 years ago

10

What is the third term of the sequence ? An=3•2^ (n-1)

1 answer:

ra1l [238]3 years ago

6 0

Answer:

12

Step-by-step explanation:

A₃ = 3 * 2⁽³⁻¹⁾ = 3 * 2² = 3 * 4 = 12

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In how many ways can the letters of the word POLICEMAN be arranged if the 'word' must begin with L and end with a vowel? & W

Vladimir79 [104]

Answer:

20160 ways

Probability = 0.0556

Step-by-step explanation:

We have 9 different letters, so the total number of words we can make is:

$Total = 9! = 362880\ words$

If we want just the words that begin with L and end with a vowel, we would have the first letter "locked", so we have 8 letters remaining, and it must end with a vowel, so the last "slot" has just 4 possible values (A, E, I or O). Then we would have 4 possible values for the last letter and 7 remaining letters in the middle of the word:

$N = 4 * 7! = 4*7*6*5*4*3*2 = 20160\ words$

The probability is calculated by the division of the number of words we want over the total number of words:

$P = N / Total = 20160 / 362880 = 0.0556$

5 0

3 years ago

Using prime factorization what is the GCF 3y 2 squared, 24y 3 cubed

WINSTONCH [101]

Answer:

$3y^2$

Step-by-step explanation:

Given:

To find the GCF of $3y^2\ and\ 24y^3$ using prime factorization.

Writing each in prime factors:

3 = 1 $\times$ <u>3</u>

24 = 1 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ <u>3</u>

Now, GCF of 3 and 24 is 3

$y^2=1\times y\times y$

$y^3=1\times y\times y\times y$

GCF of $y^2$ and $y^3$ is $y\times y=y^2$ .

Therefore, the overall GCF of the two terms is $3y^2$

8 0

3 years ago

Help! Please answer I’ll give brainliest

g100num [7]

Linear function is y=1/2x+1

5 0

4 years ago

One book costs 95p how much do 5 books cost

Leni [432]

SO

95px5=475

So it is $4.75

4 0

3 years ago

Read 2 more answers

Solve: - 1/2x = 9/2x + 9/5

CaHeK987 [17]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = − 9 /25

Decimal Form:

x = − 0.36

I hope this helps! Have a great day!

6 0

3 years ago