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mariarad [96]
3 years ago
8

What is the value of the rational expression below when x is equal to 4? x+20/x+4

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer:

3

Step-by-step explanation:

All we need to do here is plug in the number 4 for the variable x. Wherever there's an x, kidnap it and replace it with a 4!

\frac{x + 20}{x + 4}

x = 4

\frac{4 + 20}{4 + 4}

Do the addition.

4 + 20 = 24

4 + 4 = 8

\frac{24}{8}

We can simplify this! What is 24 divided by 8?

24/8 = 3

The answer is 3!

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I think A is the answer
3 0
3 years ago
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?​
madam [21]

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

f(t)=a(r)^t

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}

One year has 365 days.

Therefore, the amount remaining after one year will be:

\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

f(t)=Ce^{kt}

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

255=510e^{38k}

Solving for k:

\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)

Thus, our function is:

f(t)=510e^{t\ln(.5)/38}

Then after one year or 365 days, the amount remaining will be about:

f(365)=510e^{365\ln(.5)/38}\approx 0.6548

5 0
3 years ago
Complete the two-column proof.
algol13

Answer:

a

Step-by-step explanation:

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3 years ago
Write the number ofhundreds, tens, and ones.
otez555 [7]

Answer:100 10 1


Step-by-step explanation:


4 0
3 years ago
1. Shay found that she hit the bull's-eye when throwing darts 2/10 times. If she
viva [34]
<h2>Answer:</h2><h2>If she  continues to throw darts 75 more times, she could predict to hit the </h2><h2>bull's-eye 15 times.</h2>

Step-by-step explanation:

Shay found that she hit the bull's-eye when throwing darts \frac{2}{10} times = \frac{1}{5}.

In five times, she will hit the dart once.

If she  continues to throw darts 75 more times,

the probability that she will hit the bull's eye =  \frac{1}{5} (75) = 15 times.

If she  continues to throw darts 75 more times, she could predict to hit the

bull's-eye 15 times.

6 0
3 years ago
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