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joja [24]
3 years ago
15

The first five terms of a pattern are shown.

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

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

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

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As θ increases, the value of cos θ increase, decreases or stays the same?
icang [17]

Answer:

As θ increases, the value of cos θ decreases

Step-by-step explanation:

As as θ increases, the value of cos θ decreases from 1 to -1 in the first two quadrants ( between 0 and 180 degrees). Cos(0) = 1, cos(90) = 0, cos(180) = -1.

On the other hand, as θ increases from 180 to 360 degrees (last two quadrants) the value of cos θ increases from -1 to 1.

Check the attachment below:

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3 years ago
In triangle ABC, m∠ABC = (4x – 12)° and
VashaNatasha [74]

The value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , angles and vertices.

It is given that

m∠ABC = (4x – 12)°

m∠ACB = (2x + 26)°

Let m∠ACB = y degree

It is asked that if x =19 degree , is the triangle equilateral

m∠ABC = (4x – 12)° = 4 *19 -12 = 64 degree

As in an equilateral triangle , the angles are all equal and equal to 60 degree.

If the value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

To know more about Triangle

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2 years ago
Find the surface area.<br> 6 ft<br> 211<br> 3 ft
san4es73 [151]
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Amiraneli [1.4K]

Answer:

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Step-by-step explanation:

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3 years ago
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One card is drawn at random from a deck of 52 cards. The first card is not replaced, and a second card is drawn. (Enter your pro
andriy [413]

Answer:

We have a 52 card deck:

a. Find the probability that both cards are clubs.

The probability of drawing a club will be equal to the quotient between the number of clubs in the deck divided by the total number of cards in the deck.

We initially have 13 clubs and 52 cards, then the probability of drawing a club in the first draw is:

p1 = 13/52.

Now the probability of drawing a club in the second draw will be:

p2 = 12/51

Where each number is decreased by one because we already drew a card, and that card was a club.

Then the probability of both events happening will be equal to the product of the individual probabilities:

P = p1*p2 = (13/52)*( 12/51) = 0.059

b. Find the probability that the first card is a spade and the second is a club.

Same as before, the probability of first drawing a spade is:

p1 = 13/52

And the probability of drawing a club in the second draw will be:

p2 = 13/51

This case differs from the prior one because for the second draw we have 13 clubs in the deck, and as we already drew one card (that was not a club) the total number of cards in the deck is 51.

Now the joint probability will be:

P = p1*p2 = (13/52)*(13/51) = 0.064

3 0
3 years ago
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