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k0ka [10]
2 years ago
12

in a study evaluating the relationship between stress and muscle cramps, half the subjects are randomly assigned to be exposed t

o increased stress by being placed into an elevator that falls rapidly and stops abruptly and the other half are left at no or baseline stress.
Mathematics
1 answer:
stiks02 [169]2 years ago
7 0

The study creates stress in a(0ne) way that might affect muscle cramps.

What is muscle cramps ?

  • Overuse of a muscle, dehumidification, muscle strain or simply holding a position for a prolonged period can beget a muscle cramp. In numerous cases, still, the cause is not known.
  • Although utmost muscle cramps are inoffensive, some may be related to an beginning medical condition, similar as shy blood force.
  • Cramps can have causes that are not due to underpinning complaint. exemplifications include dehumidification, emphatic exercise or lack of muscle use. Muscle cramps are unforeseen muscle condensation.
  • Also called muscle spasms or charley nags, a muscle cramp can be a common symptom of numerous effects, like exercise strain or a medical condition. Muscle cramps generally go down without treatment and can be watched for at home.

The study creates stress in a(0ne) way that might affect muscle cramps. If an elevator falls, fleetly and stops suddenly, that could affect muscle cramps more because of the physical action than by the stress it convinced. I don’t suppose this trial would help answer whether there's a unproductive relationship between increases stress and muscle cramps.

Learn more about muscle cramp here:

brainly.com/question/19064082

#SPJ4

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Z^4-5(1+2i)z^2+24-10i=0
mixer [17]

Using the quadratic formula, we solve for z^2.

z^4 - 5(1+2i) z^2 + 24 - 10i = 0 \implies z^2 = \dfrac{5+10i \pm \sqrt{-171+140i}}2

Taking square roots on both sides, we end up with

z = \pm \sqrt{\dfrac{5+10i \pm \sqrt{-171+140i}}2}

Compute the square roots of -171 + 140i.

|-171+140i| = \sqrt{(-171)^2 + 140^2} = 221

\arg(-171+140i) = \pi - \tan^{-1}\left(\dfrac{140}{171}\right)

By de Moivre's theorem,

\sqrt{-171 + 140i} = \sqrt{221} \exp\left(i \left(\dfrac\pi2 - \dfrac12 \tan^{-1}\left(\dfrac{140}{171}\right)\right)\right) \\\\ ~~~~~~~~~~~~~~~~~~~~= \sqrt{221} i \left(\dfrac{14}{\sqrt{221}} + \dfrac5{\sqrt{221}}i\right) \\\\ ~~~~~~~~~~~~~~~~~~~~= 5+14i

and the other root is its negative, -5 - 14i. We use the fact that (140, 171, 221) is a Pythagorean triple to quickly find

t = \tan^{-1}\left(\dfrac{140}{171}\right) \implies \cos(t) = \dfrac{171}{221}

as well as the fact that

0

\sin\left(\dfrac t2\right) = \sqrt{\dfrac{1-\cos(t)}2} = \dfrac5{\sqrt{221}}

(whose signs are positive because of the domain of \frac t2).

This leaves us with

z = \pm \sqrt{\dfrac{5+10i \pm (5 + 14i)}2} \implies z = \pm \sqrt{5 + 12i} \text{ or } z = \pm \sqrt{-2i}

Compute the square roots of 5 + 12i.

|5 + 12i| = \sqrt{5^2 + 12^2} = 13

\arg(5+12i) = \tan^{-1}\left(\dfrac{12}5\right)

By de Moivre,

\sqrt{5 + 12i} = \sqrt{13} \exp\left(i \dfrac12 \tan^{-1}\left(\dfrac{12}5\right)\right) \\\\ ~~~~~~~~~~~~~= \sqrt{13} \left(\dfrac3{\sqrt{13}} + \dfrac2{\sqrt{13}}i\right) \\\\ ~~~~~~~~~~~~~= 3+2i

and its negative, -3 - 2i. We use similar reasoning as before:

t = \tan^{-1}\left(\dfrac{12}5\right) \implies \cos(t) = \dfrac5{13}

1 < \tan(t) < \infty \implies \dfrac\pi4 < t < \dfrac\pi2 \implies \dfrac\pi8 < \dfrac t2 < \dfrac\pi4

\cos\left(\dfrac t2\right) = \dfrac3{\sqrt{13}}

\sin\left(\dfrac t2\right) = \dfrac2{\sqrt{13}}

Lastly, compute the roots of -2i.

|-2i| = 2

\arg(-2i) = -\dfrac\pi2

\implies \sqrt{-2i} = \sqrt2 \, \exp\left(-i\dfrac\pi4\right) = \sqrt2 \left(\dfrac1{\sqrt2} - \dfrac1{\sqrt2}i\right) = 1 - i

as well as -1 + i.

So our simplified solutions to the quartic are

\boxed{z = 3+2i} \text{ or } \boxed{z = -3-2i} \text{ or } \boxed{z = 1-i} \text{ or } \boxed{z = -1+i}

3 0
1 year ago
I JUST NEED HELP PLEASE!! AHH!!~∆~
mafiozo [28]

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=5/13

sin theta=0.38

theta=sin 23

therefore the value of theta is 23 degree

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3 years ago
Jack reads 4 books on Monday. He reads more on Tuesday. He reads 7 books total. Hiw many books does Jacj read on Tuesday
Galina-37 [17]
He reads 3 books on Tuesday. 

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Alex_Xolod [135]
Can you show a better picture?
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3 years ago
What is 3.4675 rounded to the nearest hundreth
GarryVolchara [31]

Answer:

3.47

Step-by-step explanation:

the hundreth is the second place after the decimal

always round up on number 5+

6 0
4 years ago
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