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3 years ago

Find S11 for 1 + 2 + 4 + 8 +

1 answer:

4 0

Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,

Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,

<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.

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Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3/2(x + 4) when graphed?

Zielflug [23.3K]

Answer:

c. (-2, 5)

Step-by-step explanation:

y - 2 = 3/2(x + 4)

to know which is the correct option we have to replace the equation x and y with what is in the point

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((-2) + 4)

-3 = 3/2(2)

-3 = 3

Wrong

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-6) + 4)

3 = 3/2(-2)

3 = -3

Wrong

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-2) + 4)

3 = 3/2(2)

3 = 3

Correct

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((6) + 4)

-3 = 3/2(10)

-3 = 15

Wrong

8 0

3 years ago

1. 8 - n = -4

iogann1982 [59]

Answer:

1.-n=-12; n=12

2.18=-2x; x=-9

3.-n=-12; n=12

4.b=3

4 0

3 years ago

Mattie Evans drove 180 miles in the same amount of time that it took a turbopropeller plane to travel 630 miles. The speed of th

AysviL [449]

Answer:

the speed of the plane was 210 mph.

Step-by-step explanation:

3 0

2 years ago

A deck of 52 cards is shuffled. The first five cards of the deck are red. What is the probability that the last card in the deck

saveliy_v [14]

Answer:

The answer is " $\frac{1}{47}$ ".

Step-by-step explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

$= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= \frac{1}{47}$

Thus, $\frac{1}{47}$ here is the necessary chance.

7 0

2 years ago

Which of the following questions describes the equation g + (-4) = -5? help

Ksivusya [100]

Answer:

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Step-by-step explanation:

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3 years ago