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3 years ago

Write an equation for the nth term of the geometric sequence. Then find the 7th term. 2,-6,18,-54,...

Mathematics

1 answer:

Sonja [21]3 years ago

5 0

soln,

from the series,

a = 2

t2 = -6

r = t2/a

$= \frac{ - 6}{2}$

= -3

therefore, tn =

${ar}^{n - 1}$

$= {2 \times - 3}^{n - 1}$

now,

seventh term =

${2 \times - 3}^{7 - 1}$

$= {2 \times - 3}^{6}$

$= 2 \times 729$

$= 1458$

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Troy signed up for a new cell phone plan which charges him a fee of $40 per month, plus $0.05 for each text message ( t) that he

Daniel [21]

From what I can tell, the inequality is:

40 + .5t ≤ 70

Is that one of your options?

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3 years ago

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink f

xxMikexx [17]

Answer:

Probability that the person preferred milk as his or her primary drink = 0.3

Step-by-step explanation:

Given -

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is = 18 + 29 + 13 = 60

If a person is selected at random ,

The probability of person preferred milk = $\frac{18}{60}$

The probability of person preferred coffee = $\frac{29}{60}$

The probability of person preferred juice = $\frac{13}{60}$

Probability that the person preferred milk as his or her primary drink =

P ( milk ) = $\mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}$

= $\frac{18}{60}$ = 0.3

3 0

2 years ago

What is y=x by a vertcal stretch of 5

kakasveta [241]

Answer: The vertical stretch of 5 in the equation y = x is defined by $y=5x$ .

Explanation:

The given equation is,

$y=x$

It can be written as,

$f(x)=x$

The function is defined as $S\cdot f(x)$ .

If $S\geq 1$ , then the function has a vertical stretch by a factor of S units.

If $0$ , then the function has a vertical shrink by a factor of S units.

Since we have to find the vertical stretch of 5 in the equation y = x.

$y=5f(x)$

$y=5x$

The below figure shows the graph of y = x and $y=5x$ .

7 0

2 years ago

Nick currently has 7,200 points in his fantasy baseball league, which is 20% points than Adam. How many points does Adam have?

Dovator [93]

Heya!!!

Answer to your question:

Let Adam's points be x.

Nick has points =7200=20%of x+x

20/100 *x + x=7200

x/5 +x=7200

6x/5=7200

x= 7200*5/6

x=6000

Adam has 6,000 points.

Hope it helps *_*

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2 years ago

Please help. 10 points. Please do not guess. Guesses will be reported.

Alex73 [517]

The inscribed angle theorem says that

$m\angle CAB=\dfrac12m\angle COB$

Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.

Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.

Taking all these facts together, we have

$m\angle COB=2m\angle COD$

and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.

3 0

2 years ago