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Assoli18 [71]
3 years ago
11

HURRY 20 POINTS!!!!! Given the geometric sequence an = 6(5)n − 1, which of the following values for n lies in the appropriate do

main for n? (1 point)
n = −1

n = 1

n = 0

They all lie in the domain
Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0
<h2>Answer:</h2>

n = 1

<h2>Explanation:</h2>

Here we have the following Geometric Sequence:

a_{n} = 6(5)^{n-1}

Where:

a=6 \ \text{First term} \\ \\ r=5 \ \text{Common ratio} \\ \\ n: \ \text{Number of terms}

The first term occurs when n=1. Next the second term occurs when n=2, the third term when n=3 and so on. Therefore, the appropriate value of n that lies on the domain for n is n=1

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PLEASEEEEEEEEEEEEEEEEEEEEEE Edgar rolls two six-sided number cubes. What is the probability that he rolls a 2 on
frutty [35]

Answer:

The probability that he rolls a sum of 9 given the sample space is . 9/36, or 1/4.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that he rolls a sum of 9 = cubes that have a sum of 9 / total number of cubes

9/36 = 1/4

5 0
2 years ago
Suppose you want to factor the expression x ^ 2 + 2xn + n ^ 2 Given that n &gt; 0 , what are the factors? Explain.
Vlada [557]

Step-by-step explanation:

x2 + 2xn + n2

x2 + xn + xn + n2

x(x + n) + n (x + n)

So (x + n)^2 is the factor

4 0
3 years ago
Is it 1/27 ._. Am not soo sure
omeli [17]

Answer:

Yes, you're correct.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following is equivalent to the polynomial below?
Gnoma [55]

Answer:

(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))

Step-by-step explanation:

Consider the quadratic expression

x^2-8x+19

First, find its discriminant:

D=(-8)^2-4\cdot 1\cdot 19=64-76=-12

Note that i^2=-1, then D=12i^2.

Use quadratic formula to find the roots:

x_{1,2}=\dfrac{-(-8)\pm \sqrt{12i^2}}{2\cdot 1}=\dfrac{8\pm 2\sqrt{3} i}{2}=4\pm \sqrt{3}i

Now, given quadratic expression is equivalent to

(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))\\ \\=(x-4-\sqrt{3}i)(x-4+\sqrt{3}i)

6 0
3 years ago
Suppose you want to place a shelf that is 30 1/3 inches long in the center of a wall that is 45 3/4 inches wide. About how fare
mrs_skeptik [129]

Answer:

7.71 inches far from each edge of the wall you should place the shelf.

Step-by-step explanation:

Given:

\textrm{size of a shelf}=30\frac{1}{3} =\frac{91}{3}=30.33\ inches\\\textrm{size of a wall}=45\frac{3}{4} =\frac{183}{4}=45.75\ inches\\

Let,

AB = distance between the edges or distance of wall.

ED = size of the shelf.

C is the centre of the wall.

To Find:

Distance from the edge of the wall to the shelf, when the shell is placed at the center of the wall.

AE = DB = ?

Solution:

As we need to place the shelf exactly in the center.

First we will calculate the  distance from the center of the wall to the edge.

So the distance from the centre of the wall to the edge will be exactly half of the size of the wall.

CB = \frac{1}{2}\times AB\\ =\frac{1}{2}\times 45.75\\\therefore CB=22.875\ inches

now the distance from the centre to the end of the shelf will be exactly half of the size of the shelf.

CE = \frac{1}{2}\times DE\\ =\frac{1}{2}\times 30.33\\\therefore CB=15.165\ inches

Now we want to calculate the distance from the edge of the wall to the shelf,that is the distance from the end of the shelf to the edge of the wall.

AE=BD= BC-CD\\=22.875-15.165\\=7.71\ inches\\\therefore AE = BD = 7.71\ inches

Therefore, 7.71 inches far from each edge of the wall you should place the shelf.

5 0
3 years ago
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