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AlladinOne [14]

2 years ago

13

A Radioactive material has a half-life of 18.4 days. After 55.2 days, there were 177 mg of the material. What mass of the materi

al was originally present?

1 answer:

saveliy_v [14]2 years ago

8 0

1416 mg or 1.416 g ...................

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Prudence has 12 pairs of gold earrings and 12 pairs of silver earrings in a drawer in her jewelry box. If she randomly pulls six

Gnom [1K]

I think D 3 bc the ratio is 12:12

7 0

3 years ago

What is the equation of the line written in general form

Vesnalui [34]

Answer:

y = -x + 2.

or

x + y - 2 = 0 (Standard form).

Step-by-step explanation:

Its slope (m) is -1 and y intercept (c) is at y = 2.

y = mx + c

So it's:

y = -1x + 2

Standard form is:

x + y - 2 = 0.

I'm not sure what you mean by General Form.

5 0

1 year ago

D^2 - 4d = 3d Solve each equation. Factor and use the zero product property to solve. Show all work algebraically.

AveGali [126]

D^2 - 4d = 3d

d^2 - 7d = 0

d(d - 7) = 0

d = 0 or d - 7 = 0

d = 0 or d = 7

8 0

3 years ago

Classify the real numbers as rational or irrational numbers.

AleksAgata [21]

Answer:a

Step-by-step explanation:

6 1

2 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago