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TiliK225 [7]
3 years ago
12

Which of the following statements is not true?

Mathematics
2 answers:
Nat2105 [25]3 years ago
6 0
X5y5z5 = xyz5 is not true
Ilya [14]3 years ago
5 0
Hey there!

To find if the first two answers are true, all you need to do is count the number of variables of each type in each equation. This number will be your exponent, since it's the number of times you will multiply that variable by itself. 

For your first answer, there are 6 x's. This means that when you multiply the x's together, it will equal x⁶. This is correct. 

For your second answer, there are 7 A's and 5 B's. This will equal A⁷B⁵. This is correct. 

The last two answers are a bit different. In order to simplify an equation like the ones you've been given, you'd need to put all of your terms in parenthesis in order to say that all of the terms within them must be multiplied by what is outside of the parenthesis. This means that:

(bc)⁶ = (b)⁶(c⁶) = b⁶c⁶, which is correct

xyz⁵ = xyz⁵ ≠ x⁵y⁵z⁵, which is not correct

Your answer will be your fourth option. Hope this helped you out! :-)
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Answer:

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3 years ago
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solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

P(t)=A(r)^t

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}

Solve for A. Simplify:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^3

Simplify:

\displaystyle 2=A\Big(\frac{1}{8}\Big)

Thus, the initial mass of the sample was:

A=16\text{ mg}

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}

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Answer:

Step-by-step explanation:

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