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Setler79 [48]
3 years ago
12

What fraction of a given sample of radioactive nuclide remains after four half lives?

Mathematics
2 answers:
horsena [70]3 years ago
7 0
<span>1 half-life: 1/2 left 

2: half of that, or 1/4 

3: half of that, or 1/8 

4: half of that, or 1/16 

. (1/2)^4 = 1/16
so</span><span>after four half lives it would be 1/16
so correct option is D
</span>
Black_prince [1.1K]3 years ago
5 0
I believe the answer is D. 1/16.
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What is the volume of the figure down below?
11111nata11111 [884]
The answer is C. All calculations of a cone or the cone equal up to 353.77. Hope this helps!
6 0
3 years ago
Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer
nikdorinn [45]

9514 1404 393

Answer:

  maximum difference is 38 at x = -3

Step-by-step explanation:

This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.

__

Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.

  h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2

Then the derivative is ...

  h'(x) = 3x² +4x -15 = (x +3)(3x -5)

This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.

The maximum difference between f(x) and g(x) is 38 at x = -3.

4 0
3 years ago
This isn't something specific I need to know for school, I'm just curious. I know the most commonly used variables are x, y, and
andre [41]

Answer:

Any letter you want

Step-by-step explanation:

The letters used for variables don't matter. What matters is what the variables represent: their numerical value. Variables are just to help identify what needs solving. Other common variables are a, b, and c which are found frequently in trigonometry. To answer your question, there are no "next letters." You can use any letter you'd like as a variable because it holds the same numerical value. Basically, the whole alphabet is at your disposal.

4 0
3 years ago
1 pol
BigorU [14]
In 3 hours, they could bake 87 birthday cupcakes. If you divid 145 by 5 this gives you 29, and you multiply this by 3 to find how many can be made in 3 hours, which gives you 87:) hope this helps!
8 0
3 years ago
1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
emmainna [20.7K]

Answer:

Her average speed is 94 km/h

Time taken is 3.5 hours

Step-by-step explanation:

Let Evan’s average speed be x km/h.

now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h

Mathematically, time = distance/speed

so; since time is the same; we have

308/x = 329/(x + 6)

cross multiply

329(x) = 308(x + 6)

329x = 308x + 1848

329x-308x = 1848

21x = 1848

x = 1848/21

x = 88 km/h

Meghan average speed = x + 6 = 88 + 6 = 94 km/h

Time taken would be 329/94 = 3.5 hours

8 0
3 years ago
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