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Amiraneli [1.4K]

3 years ago

9

I need help with arithmetic and geometric sequences

1 answer:

Drupady [299]3 years ago

7 0

So basically an arithmetic sequence has a common difference, a number which is either added or subtracted at a constant rate (only that number). A geometric sequence is the ratio between two numbers, meaning they are either multiplied or divided by the same number. The sequence would be neither if it follows none of these patterns. So by this logic:

14. Arithmetic, 15. Geometric, 16. Neither, 17. Geometric

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Write (1/3i)-(-6+2/3i) as a complex number in standard form

Eddi Din [679]

Answer:

$6+\frac{i}{3}$

Step-by-step explanation:

$\frac{1}{3\imath}-(-6+\frac{2}{3\imath})$

$\frac{1}{3\imath}+6-\frac{2}{3\imath}$

taking like terms together

$\frac{1}{3\imath}-\frac{2}{3\imath}+6$

taking LCM

$\frac{1-2}{3\imath}+6$

$\frac{-1}{3\imath}+6$

taking LCM

$\frac{-1+18\imath}{3\imath}$

splitting the term

$\frac{-1+18\imath}{3\imath}$

splitting the term

$-\frac{1}{3\imath}+\frac{18\imath}{3\imath}$

$-\frac{1\times3\imath}{3\imath \times \imath}+6$

$-\frac{i}{3\imath^2}+6$

we know that

$\imath^2=-1$

putting this value in above equation

$\frac{\imath}{3}+6$

7 0

3 years ago

The equation y=7.6x represents a proportional relationship what is the constant of proportionality?

prisoha [69]

Answer:

Option B. 7.6

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

where

k is the constant of proportionality

The slope of the linear equation is the same that the constant of proportionality

In this problem we have

$y=7.6x$

so

the slope is $m=7.6$

therefore

The constant of proportionality k is $k=7.6$

5 0

3 years ago

A cheetah runs at a rate of 75 miles per hour about how many leaders can it run in 5 seconds

umka21 [38]

Answer:

Distance in meters D = 167.75 meters

Step-by-step explanation:

Distance covered in 5 seconds is given by:

Distance, D = Speed (S) X Time (T)

Where,

Distance = ?

Speed = 75mph

Time = 5s

Since we are calculating distance in meters, we have to convert 75miles per hour to meters per second

75mph = 75miles/1hr X 1km/0.621miles X 1000m/1km X 1hr/60mins X 1min/60s

= (75X1000) / (0.621X60X60) meter per second

= 75000/2235.6 meter per second

= 33.55 meter per second

∴ Distance D = 33.55 meter per second X 5 seconds

= 167.75 meters

3 0

3 years ago

Two men are decorating a room. One has painted 20 m² and the

Lostsunrise [7]

Answer:

Your answer is 120m4

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the range of the radical function f(x) = to the square root of x-2 +4

jarptica [38.1K]

Answer:

2,∞

Step-by-step explanation:

For the range, x2 takes its minimum at x=0 , so putting in x =0 gives y=√x2+4=√0+4=2 therefore making the range [2,∞).

6 0

2 years ago