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quester [9]
3 years ago
8

if you are given 80 grams of a radioactive element and told that its half-life is 10 years. How much will be left of the substan

ce after 20 years.​
Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer:

20 grams

Step-by-step explanation:

20 years is 2 half lives

1/2 * 1/2 = 1/4

1/4 * 80 = 20 grams

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Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
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so who is this about? no persomn no answer my guy and without vontext its ahrd to understand

5 0
2 years ago
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Find the vertex of the given quadratic function.
ki77a [65]

B

given f(x) in factored form, equate to zero for x-intercepts

(x - 8)(x - 4) = 0, hence

x = 4, x = 8 ← x- intercepts

The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts

x- coordinate of vertex = \frac{4+8}{2} = 6

f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate

vertex = (6, - 4 ) → B




8 0
3 years ago
Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
13-yard gain, what is the integer
stellarik [79]
Hmm, I'm confused...

An integer is a whole number. Right now you have +13 yards so I guess the answer is 13, idk for sure, lol.

7 0
2 years ago
Solve the inequality if possible 4(3-2x)>2(6-4x)
GenaCL600 [577]

Final Answer: No Solution

Steps/Reasons/Explanation:

Question: 4(3-  2x) > 2(6-  4x)

<u>Step 1</u>: Divide both sides by 2.

2(3 - 2x) > 6 - 4x

<u>Step 2</u>: Expand.

6 - 4x > 6 - 4x

<u>Step 3</u>: Since 6 - 4x > 6 - 4x is false, we have no solution.

No Solution

~I hope I helped you :)~

6 0
2 years ago
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