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2 years ago

Given the graph of the function f(x)=1/x2 write the equation g(x)

Mathematics

1 answer:

tatuchka [14]2 years ago

7 0

Answer:g(x)

Step-by-step explanation:1/5 g (x)

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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

Write a factored equation that has a solution set of {-12, 15}

Alexus [3.1K]

Answer:

(x+12)(x-15)

Step-by-step explanation:

5 0

3 years ago

Find the area of a rectangle with a base of 5 feet and a height of 9 1/2 feet

gayaneshka [121]

The area of the rectangle is 47 1/2

7 0

3 years ago

Need help with simplifying expressions

Ilia_Sergeevich [38]

Answer:

A) -20

Step-by-step explanation:

distribute the 4y and the -4 to the parentheses

16y^2 -16y+16y-20-16y^2

combine like terms

16y^2-16y^2=0

-16y+16y=0

-20

Mark brainliest??

3 0

3 years ago

Read 2 more answers

There are 1 × 1014 good bacteria in the human body. There are 2.6 × 1018 good bacteria among the spectators in a soccer stadium.

grandymaker [24]

Answer:

There are $2.6\times 10^{4}$ spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

$x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}$

$x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}$

$x = 2.6\times 10^{18-14}$

$x = 2.6\times 10^{4}$

There are $2.6\times 10^{4}$ spectators in the soccer stadium.

5 0

3 years ago