I need help with this problem

What is the common ratio for the geometric sequence?<br> 32, 8, 2, 1/2,....

Brums [2.3K]

Answer:

1/4 is the common ratio for the geometric sequence

5 0

2 years ago

1.) Find all the factors of 54.

jonny [76]

QUESTION 1.

The factors of 54 are all natural numbers that can divide 54 exactly.

The factors of 54 are: {1,2,3,6,9,18,27,54}

QUESTION 2

The prime factors of 54 are factors of 54 that are prime numbers.

The prime factors of 54 are {2,3}.

Product of prime factors of 54 is $2\times 3^3$

QUESTION 3

All the factors of 60 are all positive integers that divide exactly into 60.

The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

QUESTION 4

The prime factors of 60 are factors of 60 that are prime numbers.

The prime factors of 60 are {2,3,5}

The prime factorization of 60 is $2^2\times 3\times 5$ .

QUESTION 5

The factors of 30 are {1,2,3,5,6,10,15,30}

The different ways she can put the beads into the boxes are

$1\times 30$ ,

All 30 beads into one box or 1 bead in 30 boxes.

$2\times 15$ ,

2 beads each into 15 boxes or 15 beads each into 2 boxes

$3\times 10$ ,

3 beads each into 10 boxes or 10 beads each into 3 boxes

$5\times 6$ ,

6 beads each into 5 boxes or 5 beads each into 6 boxes

5 0

3 years ago

Round to the nearest hundredth (Geometric Series problem)

WITCHER [35]

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ $8(\frac{1}{4} )^{n-1}$

$=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]$

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by

$[a \times\frac{1-r^{n} }{1-r}]$

$= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]$

$= 15.98$ (Answer)

4 0

3 years ago

A letter of application is intended to

Travka [436]

I found the options online. I will state them and provide the answer.

OPTIONS
<span>A. find out what the prospective employer has to offer.
B. outline your value to a prospective employer.
C. accompany your portfolio.
D. remind the prospective employer of your recent interview.
</span>
ANSWER.
A letter of application is intended to outline your value to a prospective employer (option B) It is also known as a cover letter. It might be considered a job application which you send together with your CV to provide additional info about you.

8 0

3 years ago

Two vertical angles have measures of 3x and x+50. The x= Select one: a. 25 b. 50 c. 32.5 d. 10

KIM [24]

Answer:

a. 25

Step-by-step explanation:

Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:

3x = x + 50

Subtract x from both sides to isolate the x:

3x (-x) = x (-x) + 50

3x - x = 50

2x = 50

Isolate the x, divide 2 from both sides:

(2x)/2 = (50)/2

x = 50/2

x = 25

x = 25, or (a) 25 is your answer.

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8 0

3 years ago

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