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riadik2000 [5.3K]
3 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]3 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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Eduardwww [97]

the answer is 3.

Difference means subtract and each time youre subtracting 3 from the previous number

7 0
3 years ago
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Why is using a compass and straightedge and compass better than technology
Dimas [21]

Technology comes from the Greek root \tau \epsilon \chi, meaning art or craft.


For the Greeks, a straightedge and compass was technology.


The nice thing about a straightedge and compass construction of any length is that there's always a corresponding algebraic form consisting of natural numbers combined via addition, subtraction, multiplication, division and square rooting (of positive numbers). So we get an "exact" answer, at least using radicals.


Compare that to the typical calculating technology we use today where the square roots turn into approximations. The calculator is worse, turning an exact answer into an approximation.


Straightedge and compass constructions play a large role in the development of mathematics but they're not really better, it's just how things went. By restricting ourselves to straightedges (linear equations) and compasses (circles, quadratic equations) we restricted the possible lengths we could construct. Understanding exactly how propelled mathematics forward for a couple of thousand years.




3 0
3 years ago
△ACD∼△BED What is the value of x?
slega [8]

Answer:

C. 5

Step-by-step explanation:

Triangle BED is enlarged by scale factor 4.

(25-x)/4 = x

Multiply both sides by 4.

25-x = 4x

Add x on both sides.

25 = 5x

Divide both sides by 5.

5 = x

4 0
3 years ago
In a recent​ study, volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on a math tes
Shalnov [3]

Answer:

Step-by-step explanation:

Sleep Deprivation

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.

(a) Identify the sample used in the study.

(b) What is the sample's population?

(c) Which part of the study represents the descriptive branch of statitics?

(d) Make an inference based on the results of the study?

Solution

A. The samples used is the hours of sleep and math test scores of the volunteers

B. The samples population is hours of sleep and math test scores of people in general

C. The part of the study that represent the descriptive branch of statistics is "three times more likely"

D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.

3 0
3 years ago
Simplify<br>1)5x+3=x+13<br>2)5/2x-1/X =1/6​
Artyom0805 [142]

Step-by-step explanation (Question 1):        

<u>Step 1: (Question 1): Subtract x from both sides.</u>

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

<u>Step 2: (Question 1): Subtract 3 from both sides.</u>

4x+3−3=13−3

4x=10

<u>Step 3: (Question 1): Divide both sides by 4.</u>

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):      

<u>Step 1: (Question 2): Multiply by LCM</u>

15x^2 - 6 = x

<u>Step 2: (Question 2): Solve 15x^2</u>

15x^2 - 6 = x:

x = 2/3

x = -3/5

<u>Step 3: (Question 2): Solve</u>

ANSWER: x=0.666667 or x=−0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:    

1)   x = 5/2

2)  x=0.666667 or x=−0.6

 

Hope this helps.

8 0
3 years ago
Read 2 more answers
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