The half-life of a radioactive element is five years. A scientist has 18 grams of the element. The equation

Mathematics

1 answer:

lianna [129]2 years ago

7 0

Answer:

The equation that describes the amount of mass left after a time t of a radioactive isotope is the following:

where

is the mass of the sample at t = 0

is the half-life of the sample

For the element X in this problem,

We want to find the time t at which

So we need to re-arrange the equation making t the subject:

Step-by-step explanation:

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$30 board game on sale for $20.10

VMariaS [17]

Ok so to solve for percent off
percent off means discount

so therefor we need to find how much was discounted
30-20.10=9.90

so we see that 9.90 was discounted
to find the percent we do
discount/total=percent discount
9.90/30=0.33

percent means parts out of 100
0.33/1 times 100/100=33/100=33%

answer is 33% discout

6 0

3 years ago

Solve for x, and JUSTIFY your answer.

arsen [322]

Answer:

Step-by-step explanation:

I don't really know how to explain it but I'll try my best

Visualize line AB extending past point A (like it does at point B)

You'll see that 180 ( line AB ) minus 129 is 51

Angle 51 is vertical to the other angle inside the triangle that is unnamed.

Now you have 2 angles.

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2 years ago

Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p

Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

$cost_1(x) = 0.5*x$

For the second option we have:

$cost_2(x) = 5000 + 0.1*x$

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

$cost_1(60000) = 0.5*60000 = 30000$