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3 years ago

What is e=mc^2 and what does it mean?

1 answer:

kramer3 years ago

6 0

E=mc^2 is a version of Einstein's famous relativity equation. Specifically, it means that energy is equal to mass multiplied by the speed of light squared. While seemingly simple, this equation has many profound implications, chief among them being that matter and energy are actually the same stuff.

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Which of the following statements is correct concerning correlation coefficients?

Luden [163]

I think the correct answer would be the second option. The statement tha is correct concerning correlation coefficients would be that a correlation of +.89 and -.89 are both strong and equal. A correlation coefficient is a value that measures dependence and correlation between variables. It would have a value ranging from -1 to +1. So, the last option would be wrong. A value of zero would represent that there is no relation between the variables. The negative and positive indicates the direction of their correlation. If you have a negative sign, then it means that as one value increases the other would decrease. For a negative value, as one value increase, the other value would increase as well.

4 0

3 years ago

Refer to the two passages.

xenn [34]

Answer:zx

Explanation:

4 0

2 years ago

Read 2 more answers

In what way were Auguste Comte and Immanuel Kant alike?

IRISSAK [1]

For the answer to the question above asking in what way were Auguste Comte and Immanuel Kant alike? I` think the answer here is Auguste Comte and Immanuel Kant was alike in the fact that they both felt like science would improve the world.

3 0

3 years ago

1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The

Arlecino [84]

Hi there!

To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

$\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt$

Evaluate using a calculator:

$= 899.97 \approx \boxed{900\text{ people}}$

To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.

In other terms:
$\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt$

We can evaluate using a calculator (math-9 on T1-84):

$\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt$

$= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}$

If:
$P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt$

Then:

$\frac{dP}{dt} = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt = S(t) - R(t)$

Evaluate at t = 20:

$S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669$

$S(20) - R(20) = 87.844 - 108.669 = -20.823$

This means that at t = 20, there is a NET DECREASE of people at the movie theater of around 20.823 (21) people per hour.

To find the maximum, we must use the first-derivative test.

Set S(t) - R(t) equal to 0:

$80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 0$

Graph the function with a graphing calculator and set the function equal to y = 0:

According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.

Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.

8 0

2 years ago

Basahin at unawain ng mabuti ang mga pahayag. Sagutin ng TAMA kung ang ipinapahayag ay tama at sagutin ng MALI kung ang ipinapah

Mashcka [7]

TAMA

MALI

5 0

2 years ago