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3 years ago

HELP PLEASE!! no comprende :(

Mathematics

1 answer:

Flura [38]3 years ago

6 0

Answer:

C. 20

Step-by-step explanation:

By the property of intersecting secants outside of the circle.

$x \degree = \frac{1}{2} (100 \degree - 60 \degree) \\ \\ x \degree = \frac{1}{2} \times 40 \degree \\ \\ \ x \degree = 20 \degree \\ \\ \huge \red{ \boxed{ x = 20}}$

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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

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3 years ago

If you flip three fair coins, what is the probability that you’ll get heads on the first two flips and tails on the last flip

Len [333]

Answer:

1/8

Step-by-step explanation:

5 0

3 years ago

Homework #74

ollegr [7]

784 divide by 7 is 112 so answer 112

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3 years ago

Write y=-1/2x+1 in standard form using integers

dimaraw [331]

X + 2y = 2

If you need an explanation, let me know.

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3 years ago

Read 2 more answers

What is the length of BC? Round to the nearest tenth.

emmasim [6.3K]

9514 1404 393

Answer:

Step-by-step explanation:

The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(65°) = BC/BA

BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm

BC ≈ 14.5 cm

_____

<em>Additional comment</em>

As is often the case, a simple estimate is all that is needed to identify the correct answer choice.

You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.

4 0

3 years ago