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2 years ago

You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal

Mathematics

1 answer:

Butoxors [25]2 years ago

5 0

Answer:

a) the subset consists of all the outcomes where your friend loses or there is a tie

d) the subset consists of all the outcomes where you do not lose

Step-by-step explanation:

k.a approved

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I answered the question 3x-y=5 but is there a different way to answer this?

Svet_ta [14]

Step-by-step explanation:

Hi,

I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...

x = 5 + y /3

(the 5 and y are being divided by 3)

But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.

Hope this helps

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2 years ago

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What the next step is

miv72 [106K]

Number 1 is correct.

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2 years ago

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The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula mc

Gnoma [55]

<span>Given that the orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a^(3/2). If Saturn’s orbital period is 29.5 years, then 29.5 = a^(3/2) a = (29.5)^(2/3) = 9.547 Therefore, Saturn's distance from the sun is 9.547 astronomical units.</span>

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2 years ago

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Drag the correct factors to the expression. Not all factors will be used. Use synthetic division to find all the factors of this

fiasKO [112]

The factors are therefore; (4x – 3), (x + 3) and (x – 1)

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

A polynomial is is a function that contains an algebraic term which is raised to a particular power.

If it is raised to power 1 it is linear
If it is raised to power 2 it is quadratic
If its is raised to power 3 it is cubic
If it i raised to power 3 it is quartic

Now we have;

4x³ + 5x² – 18x + 9

Thus we can write;

4x³ – 3x² + 8x² – 6x – 12x + 9

Using the factors;

x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)

Therefore;

(4x – 3)(x² + 2x– 3)

(4x – 3)(x² + 3x – x – 3)

(4x – 3)(x + 3)(x – 1)

The factors are therefore; (4x – 3), (x + 3) and (x – 1)

Learn more about polynomials:brainly.com/question/21334281

#SPJ1

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11 months ago

Simplify the expression csc(-x)/1+tan^2x)

Charra [1.4K]

Assuming ya meant $\frac{csc(-x)}{1+tan^2(x)}$

to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos

for the pythaogreaon identity
$cos^2(x)+sin^2(x)=1$
divide both sides by $cos^2(x)$
$1+tan^2(x)=sec^2(x)$ since $\frac{sin(x)}{cos(x)}=tan(x)$
subsitute
$\frac{csc(x)}{sec^2(x)}$

recall that $csc(x)=\frac{1}{cos(x)}$
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore $csc(-x)=\frac{1}{cos(-x)}=\frac{1}{cos(x)}=csc(x)$
so we get

$\frac{csc(x)}{sec^2(x)}$
decompose them into $\frac{1}{cos(x)}$ and $\frac{1}{sin^2(x)}$ to get $\frac{\frac{1}{cos(x)}}{\frac{1}{sin^2(x)}}$
multiply by $\frac{sin^2(x)}{sin^2(x)}$ to get
$\frac{sin^2(x)}{cos(x)}$
we can furthur simlify to get
$(\frac{sin(x)}{cos(x)})(sin(x))=tan(x)sin(x)$
the expression simplifies to tan(x)sin(x)

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2 years ago

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