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3 years ago

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A geometric sequence is defined by the recursive formula t1 = 64, tn = tn - 1 2 , where n ∈N and n > 1. The sequence is A) -6

4, -16, -8, -4, -2, -1, ... B) 64, 16, 8, 4, 2, 1, ... C) 64, 32, 16, 8, 4, 2, ... D) 64, 128, 256, 512, 1024, 2048, ...

1 answer:

Anestetic [448]3 years ago

3 0

Answer:

The answer is C: 64,32,16,8,4,2

Step-by-step explanation:

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Least common denominator?

Over [174]

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

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3 years ago

What is the argument of -5\sqrt{3}+ 5i?

Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length $5\sqrt{3}$ . The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is $5\sqrt{3}$ .

$\tan(\theta)=\frac{5}{5\sqrt{3}}$

$\tan(\theta)=\frac{1}{\sqrt{3}}$

$\theta=\tan^{-1}(\frac{1}{\sqrt{3}})$

$\theta=30$

So 90-30=60.

The answer therefore 60+90=150.

4 0

2 years ago

What’s does 2+2 evaluation to

topjm [15]

Answer:4

Step-by-step explanation:

2+2 = 4

Adding 2 in 2 gives us 4.

4 0

3 years ago

A factory employs several thousand workers, of whom 35% are Hispanic. If the 17 members of the union executive committee were ch

Elza [17]

Answer:

as p decreases, sigma decreases.

Step-by-step explanation:

Given that 35%are hispanic. For a sample of 17 members

n = 17

p = 0.35

and the number of Hispanics on the committee would have the binomial distribution

a) Mean of X = E(x) = $np = 17(0.35)\\= 5.95$

b) Std dev X = $\sqrt{npq} =\sqrt{5.95(0.65)} \\=1.9665$

c) Here n =17 and p =0.1

$Mean = 1.7\\\sigma = \sqrt{17(0.1)(0.9)} =1.234$

d) When p = 0.01

$Mean = 0.17\\\sigma = 0.410$

Thus we find that as p decreases, sigma decreases.

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3 years ago

Convert 83% into a decimal<br> can you guy help me to do that

PilotLPTM [1.2K]

To convert a percentage to decimal form, you need to divide the number in the percent by 100. In reality, that just looks like moving the decimal point to the left two places.

83% / 100 = 0.83

83% in decimal form is 0.83.
Hope that helped! =)

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3 years ago