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3 years ago

.............................

Mathematics

1 answer:

MissTica3 years ago

7 0

Answer:

Thanks

Step-by-step explanation:

I really needed this

:) UwU

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If in August Bruiser weighed 84 pounds, how could he get back to that weight in October?

Margaret [11]

Answer:

eating healthy

Step-by-step explanation:

eating healthy foods helps you maintain the weight you want

4 0

3 years ago

P(k)=a^k=2 3 4 find value of a that makes this is a valid probability distribution

Vesna [10]

Sounds like you're asked to find $a$ such that

$\displaystyle\sum_{k=2}^4\mathbb P(k)=\mathbb P(2)+\mathbb P(3)+\mathbb P(4)=1$

In other words, find $a$ that satisfies

$a^2+a^3+a^4=1$

We can factorize this as

$a^4+a^3+a^2-1=a^3(a+1)+(a-1)(a+1)=(a+1)(a^3+a-1)=0$

In order that $\mathbb P(k)$ describes a probability distribution, require that $\mathbb P(k)\ge0$ for all $k$ , which means we can ignore the possibility of $a=-1$ .

Let $a=y+\dfrac xy$ .

$a^3+a-1=\left(y+\dfrac xy\right)^3+\left(y+\dfrac xy\right)-1=0$
$\left(y^3+3xy+\dfrac{3x^2}y+\dfrac{x^3}{y^3}\right)+\left(y+\dfrac xy\right)-1=0$

Multiply both sides by $y^3$ .

$y^6+3xy^4+3x^2y^2+x^3+y^4+xy^2-y^3=0$

We want to find $x\neq0$ that removes the quartic and quadratic terms from the equation, i.e.

$\begin{cases}3x+1=0\\3x^2+x=0\end{cases}\implies x=-\dfrac13$

so the cubic above transforms to

$y^6-y^3-\dfrac1{27}=0$

Substitute $y^3=z$ and we get

$z^2-z-\dfrac1{27}=0\implies z=\dfrac{9+\sqrt{93}}{18}$
$\implies y=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}$
$\implies a=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}-\dfrac13\sqrt[3]{\dfrac{18}{9+\sqrt{93}}}$

6 0

4 years ago

write the equation of a line that is parallel to the line 2y+x=9 and passes through the point (4,-7)

Marrrta [24]

Answer:

y=-(1)/(2)x-5

Step-by-step explanation:

4 0

4 years ago

Triangle X Y Z is shown. If m∠X = 34° and m∠Z = 26°, what is m∠Y?

nordsb [41]

Answer:

given, triangle XYZ in which m of angle X=34°

angle Z= 26°

now,angle Y =?

we have,

AngleX + angle Y+ angle Z = 180°

or, 34°+angle Y +26°=180°

or, angle Y= 180°-60°

therefore, angle Y =120°.

hope it helped..

5 0

3 years ago

Trick question!

posledela

The answer would be D

7 0

3 years ago

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