The product of any two rational numbers is a rational number. True or false

Mathematics

2 answers:

7nadin3 [17]3 years ago

5 0

True, it's like adding two fractions. You'll just get another fraction.

dmitriy555 [2]3 years ago

4 0

This is true , the product is a rational number

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A 1,200g block of phosphorus-32, which has a half life of 14.3 days, is stored for 100.1 days. At the end of this period, how mu

Valentin [98]

Answer:

The amount of phosphorus-32 left after 100.1 days is <u>9.3 g</u>.

Step-by-step explanation:

Given:

Initial amount of Phosphorus-32 is, $N_0=1200\ g$

Time period of decay is, $t=100.1\ days$

Half life of the block is, $t_{1/2}=14.3\ days$

Now, final amount left is, $N=?$

We know that, the decay equation for a radioactive material is given as:

$N=N_0e^{-kt}\\k\to decay\ constant$

The value of the decay constant is given as:

$k=\frac{\ln 2}{t_{1/2}}\\\\k=\frac{0.693}{14.3}=0.0485$

Now, plug in all the given values and calculate 'N'. This gives,

$N=(1200)e^{(-0.0485\times 100.1)}\\\\N=9.349\approx 9.3\ g$

Therefore, the amount of phosphorus-32 left after 100.1 days is 9.3 g

5 0

3 years ago

Divide and express the result in standard form. 8/7-i

Gnoma [55]

$i=\sqrt{-1}\to i^2=-1\ (i-the\ imaginary\ unit)\\----------------------\\\\\frac{8}{7-i}\\\\use\ (a-b)(a+b)=a^2-b^2\\\\\frac{8}{7-i}\cdot\frac{7+i}{7+i}=\frac{56+8i}{7^2-i^2}=\frac{56+8i}{49-(-1)}=\frac{56+8i}{49+1}=\frac{56+8i}{50}=\frac{56}{50}+\frac{8}{50}i\\\\=\boxed{\frac{28}{25}+\frac{4}{25}i}$