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riadik2000 [5.3K]
4 years ago
7

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half of its initial m

ass. Starting with 195 g of radioactive isotope how much will be left after five lives? round to the nearest gram
Mathematics
1 answer:
Dovator [93]4 years ago
4 0
1st half life: 195/2 = 97.5 g
2nd half life: 97.5/2 = 48.75 g
3rd half life: 48.7/2 = 24.375 g
4th half life: 24.375/2 = 12.1875 g
5th half life: 12.1875/2 = 6.09375 g

or you can do
195(2)^(-5) = 6.09375
** rounded to nearest gram = 6 g

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The graph below shows the prices of different numbers of boots at a store: A graph is shown. The values on the x axis are 0, 2,
kobusy [5.1K]

Answer:

b=12.50p

Step-by-step explanation:

Given :

x                 y

0                 0

2                 25

4                 50

6                 75

8                 100

10                125

To Find: Which equation can be used to determine p, the cost of b boots?

Solution :

Using point slope form Find the equation of line of the given coordinates

Let (x_{1} , y_{1})=(0,0)

Let (x_{2} , y_{2})=(2,25)

So, formula : y-y_{1} =\frac{y_{2}- y_{1}}{x_{2}- x_{1}} *(x-x_{1})

y-0 =\frac{25-0}{2-0} *(x-0)

y= 12.50x

Now we are given that cost of b boots is p

Since we are given that x axis is Number of Boots and y in price

So in the equation put x = b and y = p

So, equation : b=12.50p

Hence Option 4 is correct

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4 years ago
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nydimaria [60]

Answer:

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x =14

Step-by-step explanation:

Since this is a right triangle we can use trig functions

tan 30 = opp /adj

tan 30 = y/ 7 sqrt(3)

7 sqrt(3)  tan 30 = y

7 sqrt(3) * 1/ sqrt(3) =t

7 =y

sin 30 = opp/ hyp

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x sin 30 =7

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x = 7 / 1/2

x = 14

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Answer:

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Step-by-step explanation:

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When dividing with negative and positive, the quotient is negative. 70 / -3.5 would be -2. Here is what the long division looks like:

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