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nekit [7.7K]
3 years ago
15

Which is the 6th term of the geometric sequence 729,81,9,

Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0

Answer:

\frac{1}{81}

Step-by-step explanation:

The n th term of a geometric sequence is

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

where a is the first term and r the common ratio

r = \frac{81}{729} = \frac{9}{81} = \frac{1}{9}

and a = 729, hence

a_{6} = 729 × (\frac{1}{9}) ^{5}

                        = 729 × \frac{1}{59049} = \frac{729}{59049} = \frac{1}{81}

myrzilka [38]3 years ago
5 0

Answer:

531,441 or 1/81

Step-by-step explanation:

You get this answer by multiplying each term by 9. for example: 9x9 is 81 and 81x9 is 729.

Unless this is going backwords and its division. Then the answer will be 1/81.

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Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)
kifflom [539]

<em><u>Question:</u></em>

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

<em><u>Answer:</u></em>

The vertical asymptotes are x = 2 or x = -1

<em><u>Solution:</u></em>

Given that,

f(x)=\frac{x^2+4}{4x^2-4x-8}

For vertical asymptotes, set the denominator to zero and then solve the quadratic equation

4x^2-4x-8=0\\\\Divide\ by\ 2\\\\x^2 - 2x - 4 = 0

Split\ the\ middle\ term\\\\x^2+x-2x-2=0\\\\Group\ the\ equation\\\\(x^2 + x) - (2x + 2) = 0\\\\Factor\ the\ common\ term\\\\x(x + 1) - 2(x + 1) = 0\\\\(x + 1)(x - 2) = 0\\\\Therefore,\\\\x + 1 = 0\\\\x = -1\\\\And\\\\x - 2 = 0\\\\x = 2

Thus the vertical asymptotes are x = - 1 and x = 2

3 0
3 years ago
Read 2 more answers
Solve for x in the diagram below.
Zielflug [23.3K]

Answer:

3x+45=180

3x=180-45

3x=135

x=45  

Step-by-step explanation:

8 0
3 years ago
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Ms.Clark goes to the store and purchased a 26 lb turkey for $38.74 and two bags of potatoes. Her bill was $50.24. How much was e
NeTakaya

Answer:

$5.75

Step-by-step explanation:

50.24 - 38.74 is 11.5

Then, to find how much each potato bag is you need to divide by 2.

11.5 divided by 2 is 5.75.

Each bag of potatoes was 5.75$

3 0
2 years ago
Find the area of the region under the graph of the function f on the interval
vlada-n [284]

Answer:

9/2

Step-by-step explanation:

this is a simple integral function

given limits of interval [a,b] of a continuous function f(t), you can find the area under the curve by using:

\int\limits^a_b {f(t)} \, dt

\int\limits^3_0 {3x-x^2} \, dx

using the fundamental theorem of calculus that states the integral of f(x) in the interval [a,b] is  = g(a)-g(b), where g(x) is the antiderivative of f(x)

our g(x) = \frac32x^2-\frac13x^3

g(3)-g(0) = g(3) = 27/2 - 27/3 = 27/2-9 = 9/2

8 0
3 years ago
What the product to (-3q+3)+7(8q+1)
Ivenika [448]

Answer:

53q+10

Step-by-step explanation:

(-3q+3)+7(8q+1)

-3q+3+56q+7

53q+3+7

53q+10

4 0
3 years ago
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