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Tju [1.3M]
3 years ago
13

In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substan

ces. A radioactive substance is a substance that gives off radiation as it decays. Scientists describe the rate at which a radioactive substance decays as its half-life. The half-life of a substance is the amount of time it takes for one-half of the substance to decay. Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0

Answer:

Step-by-step explanation:

Half life is the time taken by a radioactive substance to reduce of half of its original size

If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years

if we are given N0 = 1000grams

The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g

<em>Hence 500 grams of radium will be left after 600years</em>

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A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup
photoshop1234 [79]

Note: Consider all the numeric values are in the fraction form. Like 14\to \dfrac{1}{4}, 23\to \dfrac{2}{3} etc.

Given:

A recipe calls for \dfrac{1}{4} cup of brown sugar for every \dfrac{2}{3} cup of white sugar.

To find:

The number of cups of brown sugar that are required for every cup of white sugar.

Solution:

We know that,

Required brown sugar for \dfrac{2}{3} cup of white sugar =  \dfrac{1}{4} cup

Using this, we get

Required brown sugar for 1 cup of white sugar =  \dfrac{\dfrac{1}{4}}{\dfrac{2}{3}} cup

                                                                              =\dfrac{1}{4}\times \dfrac{3}{2} cup

                                                                              =\dfrac{3}{8} cup

So, \dfrac{3}{8} cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.

6 0
2 years ago
Let f ( x ) = 10 x + 14 f − 1 ( x ) =
Agata [3.3K]

Answer:

  f^-1(x) = (x -14)/10

Step-by-step explanation:

You can find the inverse function by solving for y:

  x = f(y)

Here, that is ...

  x = 10y +14 . . . . . use the definition of f(y)

  x -14 = 10y . . . . . . subtract 14

  (x -14)/10 = y . . . . divide by the coefficient of y

So, your inverse function is ...

  f^-1(x) = (x -14)/10

6 0
2 years ago
How do you write three hundred four million,eight hundred thousand,four hundred
Katena32 [7]
300,800,400
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5 0
3 years ago
1 of 3
kompoz [17]

Answer:

y= -2x+3

Step-by-step explanation:

first find the slope=-2

determine one point like(0,3)

then use formula

y-3=-2x

y= -2x+3

5 0
3 years ago
Plz help :( what is 10,000,000(20)^10 !?
Sergio [31]

Answer: 102,400,000,000,000,000,000

Step-by-step explanation:

First do 20^10 = 10,240,000,000,000.  

Then, multiply 10,240,000,000,000 * 10,000,000 to get 102,400,000,000,000,000,000.

<em>Hope it helps <3</em>

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