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3 years ago

Find the 8th term in the sequence: x + 1, 2x + 1, 3x + 1,...

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

The common difference is x

the first term is x+1

a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1

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Three eights plus one foruth

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The sum of two rational numbers is -5 if one of the number is -13/6 find the other number

Vladimir79 [104]

Answer:

$Let \ the \ number \ be = x\\sum \ of \ 2 \ rational \ numbers = -5\\\\x + \frac{-13}{6} = -5\\\\x - \frac{13}{6} = -5\\\\$

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The other rational number = -17/6

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The wavelength of a wave of frequency 100 Hz is 3.3m. Find it's speed

Natasha_Volkova [10]

Step-by-step explanation:

Given:

Wavelength of wave : 3.3m

Frequency of wave : 100Hz.

speed/velocity : ?

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1 year ago

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when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented

Lilit [14]

The complete question is;

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?

A) They are parallel because their slopes are the same

B) They are not parallel because their slopes are the same

C) They are parallel because their slopes are opposite reciprocals

D) They are not parallel because their slopes are opposite reciprocals

Answer:

Option D: They are not parallel because their slopes are opposite reciprocals

Step-by-step explanation:

Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.

Now, the general formula for slope intercept is;. y = mx + c.

Where m is the slope and c is the y - intercept.

This means the slope of bamby is - 4 while that of Primrose is 8.

The slopes are not the same and so options A and B are not correct.

Now, -4 is an opposite reciprocal of 8/-2.

But an opposite reciprocal means that both lines on the graph are perpendicular to each other.

Thus, option C is wrong because they are not parallel.

So correct option is D.

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3 years ago

Identify which type of sampling is used: random, systematic, convenience, stratified, or cluster. Upper A magazine asks its r

AlladinOne [14]

Answer:

Convenience sampling

Step-by-step explanation:

Convenience sampling is a type of non-probability sampling method that is used base on the ease of access to subjects or people. The only criteria is whether the participants agree to participate. It is the most commonly used sampling technique because it is readily available, easy to access, prompt, uncomplicated, and economical. Although it is not often recommended for research because of sampling error possibility and lack of representation of population. Examples of convenience sampling are sharing flyers of upcoming events or promotion in a shopping mall, asking people to answer questions in a store, online and offline survey and collecting market research data from a conveniently available pool of respondents.

Considering, Upper A magazine asks its readers to call in their opinion regarding the quality of the articles is a convenient way of collecting market research data from available readers who may agree to participate. Therefore, the sampling is a convenience sampling.

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