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3 years ago

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On a book shelf there are 4 (different) math books and 6 (different) cs books. In how many ways can the books be arranged so tha

t the math books are next to each other and the cs books are next to each other?

1 answer:

Angelina_Jolie [31]3 years ago

4 0

The answer is 1728 way

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What is 8/15 + (-6/15)=

patriot [66]

Answer:

0.1333 or $\frac{2}{15}$

Step-by-step explanation:

The attached image contains the steps.

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2 years ago

Directions: Write an integer to model each situation.

Leni [432]

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2 years ago

When June sits down today to read she notices she is on page 20 of a 200 page book. She decides to read 4 pages of this book eve

Olegator [25]

The answer is b. 60 || 4x10=40, 40+20=60

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3 years ago

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If y varies inversely as x and y=3 when x=14, find x when y=6

alukav5142 [94]

X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.

So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.

Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)

That makes 14/6=X/3. When we cross multiply, we find that x=7.

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2 years ago

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

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3 years ago

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