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Liono4ka [1.6K]

4 years ago

11

The potential energy, P, in a spring is represented using the formula P =1/2 kx2. Lupe uses an equivalent equation, which is sol

ved for k, to determine the answers to her homework.
Which equation should she use?

1 answer:

Likurg_2 [28]4 years ago

4 0

K = 2p/x^2 is the answer

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A graph relates the amount of gas in the tank of your car to the distance you can drive.

umka2103 [35]

The car runs out of gas, resulting in no more displacement taking place.

6 0

3 years ago

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th

amm1812

Answer: Our required probability is 0.39.

Step-by-step explanation:

Since we have given that

X be the exponentially distributed with mean life = 6 years

So, E[x]=6

$\dfrac{1}{\lambda}=6\\\\\lambda=\dfrac{1}{6}$

So, our cumulative distribution function would be

$F(x)=1-e^{-\lambda x}$

We need to find the probability that the CPU fails within 3 years.

$P(X$

Hence, our required probability is 0.39.

7 0

4 years ago

Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

3 years ago

A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviat

Doss [256]

Answer:

more than 15.40 cm and less than 14.60 cm

Step-by-step explanation:

A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 4 standard deviations from the mean.

mean length= 15 cm

standard deviation= 0.10 cm

4 standard deviation from mean= 15±(4×0.10)

therefore, bolts of length more than 15+0.4, and less than 15-0.4 will be destroyed

= 15.40 cm and 14.60 cm

4 0

3 years ago

Can the numbers 24,32,40 be the lengths of the three sides of a right triangle? Explain why or why not

SpyIntel [72]

Answer:

Yes .The Pythagorean equation is true.

Step-by-step explanation:

yes, they can, because of the equation below :

a² = b² + c²

40² = 32² + 24²

1600 = 1024 + 576

1600 = 1600 ✓

7 0

2 years ago