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Leto [7]
3 years ago
15

Let me know the answer plz

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

<u>Answer:</u>

The correct answer option is A. \frac{1}{16}.

<u>Step-by-step explanation:</u>

We are given the following geometric sequence and we are to find its 8th term:

1024, 256,64,...

Here a_1=1024 and common ratio (r) = \frac{64}{256} =0.25.

The formula we will use to find the 8th term is:

nth term = a_1 \times r^{(n-1)}

Substituting the values in the formula to get:

8th term = 1024 \times 0.25^{(8-1)}

8th term = \frac { 1 } { 1 6 }

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What is the equation of the slant asymptote of the rational function?
marta [7]

The equation of the slant asymptote of the rational function is; y = 2x - 3

<h3>What is the equation of the slant asymptote of the rational function?</h3>

We want to find the equation of the slant asymptote of the rational function given as;

f(x) = (10x³ - 15x² + x - 1)/(5x² - 2)

To solve this question, we will divide the numerator by the denominator.  The result (not including the remainder) will be the equation of the slant asymptote.

We can tell the first term of the quotient will be 2x since 10x³/5x² = 2x. Thus, the answer from the given options will be either 2x − 3 or 2x − 11/5.

The easiest method to apply here is to simply multiply these options by the denominator to get;

(5x² − 2) (2x − 3) = 10x³ − 15x² − 4x + 6

(5x² − 2) (2x − 11/5) = 10x³ − 11x² − 4x + 22/5

So the answer must be 2x − 3

Thus, the equation of the slant asymptote of the rational function is; y = 2x - 3

Read more about Equation of Slant Asymptote at; brainly.com/question/17256965

#SPJ1

6 0
1 year ago
What numbers are greater than 7 x 10^-4? Please help!
asambeis [7]
B 8x 10 ^-5  is the correct answer
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4 years ago
Seths reads 15% of the book in 30 minutes. How much more time will he need to finish reading the book?
pav-90 [236]
Two and a half hours to finish the book
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3 years ago
Triangle ABC is an oblique triangle. If angle A equals 57°, angle B equals 73°, and AB equals 24 in, what is the length of AC?
natulia [17]

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°

And using rhw Law if Sines, we have.....

AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in

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4 years ago
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