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mr Goodwill [35]

1 year ago

10

What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54, respectively?

2 answers:

Gnom [1K]1 year ago

0 0

The common ratio is 3.

Natasha_Volkova [10]1 year ago

0 0

Answer:

C

Step-by-step explanation:

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PLEASE HELP I HAVE 10 MINUTES AND IM STUCK ON THIS!

Leviafan [203]

Answer:

y= -3x-5

Step-by-step explanation:

5 0

7 months ago

Benjamin is making bow ties how many 1/2 yard Mongols has can he make if he has 18 feet of fabric

kiruha [24]

Hello!

First you have to find out what 1/2 a yard is in feet

There are 3 feet in a yard so there are 1.5 feet in 1/2 a yard

Divide the amount of fabric by how much is needed to make a bowtie

18 / 1.5 = 12

The answer is 12

Hope this helps!

7 0

10 months ago

Consider the following function. f(x) = ln(1 + 2x), a = 2, n = 3, 1.8 ≤ x ≤ 2.2 (a) Approximate f by a Taylor polynomial with de

Natalija [7]

Answer:

a) $T_{3}(x) = f(a) + (x-a)f'(a) + \frac{(x-a)^{2} }{2!} f''(a)+ \frac{(x-a)^{3} }{3!}f'''(a)$

b) $R_{3}(x) =0.000010$

Step-by-step explanation:

$f(x) = ln(1+2x)$ , a = 2, n = 3

1.8 ≤ x ≤ 2.2

The Taylor's polynomial to the third degree is given by:

$T_{3}(x) = f(a) + (x-a)f'(a) + \frac{(x-a)^{2} }{2!} f''(a)+ \frac{(x-a)^{3} }{3!}f'''(a)$

Since a = 2

$T_{3}(x) = f(2) + (x-2)f'(2) + \frac{(x-2)^{2} }{2!} f''(2)+ \frac{(x-2)^{3} }{3!}f'''(2)$ .......(1)

$f(x) = ln(1+2x)\\f(2) = ln5\\f'(x) = \frac{2}{1+ 2x}\\ f'(2) = 2/5\\f''(x) = \frac{-4}{(1+2x)^{2} } \\f''(2) = -4/25\\f'''(x) = \frac{16}{(1+2x)^{3} } \\f'''(2) = 16/125\\$

Substituting these values into equation (1)

$T_{3}(x) =ln5 + \frac{2}{5} (x-2) - \frac{2 }{25}(x-2)^{2}+ \frac{ 8}{375}(x-2)^{3}$

b) Taylor's inequality is given by the equation:

$R_{n}(x) = \frac{f^{n+1}(x) }{(n+1)!} (x-a)^{n+1}$

n = 3 ( third degree), a =2

$R_{3}(x) = \frac{f^{iv}(x) }{(4)!} (x-2)^{4}$

$f^{iv} (x) =- \frac{96}{(1+2x)^{4} } \\ f^{iv} (x)= -96/625\\$

$R_{3}(x) = \frac{(-96/625)}{24} (x-2)^{4}\\}$

$R_{3}(x) = (0.0064) (x-2)^{4}$

$R_{3}(x) = (0.0064) (1.8-2)^{4}\\$

$R_{3}(x) = 1.025 * 10^{-5} \\R_{3}(x) =0.00001025\\R_{3}(x) =0.000010$

3 0

10 months ago

A train is traveling at 60 km down the tracks, it continues traveling for 6

const2013 [10]

Answer:

the answer is a

Step-by-step explanation:

because 60/6= 10

6 0

6 months ago

What is the answer to 8/10 x 5/2

Neporo4naja [7]

Answer:

your answer is 2!

Step-by-step explanation:

you have to make it an improper fraction once you do you get 2!

brainliest please>

4 0

2 months ago

Read 2 more answers