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luda_lava [24]
2 years ago
12

If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af

ter 32 hours? Is the radioactive decay modeled by a linear function or an exponential function?
Mathematics
2 answers:
Evgesh-ka [11]2 years ago
8 0

Answer:

22.5 grams; exponential

Step-by-step explanation:

Did it on usa test prep and got it right

lyudmila [28]2 years ago
4 0

Answer:

There will be 22.5 grams left after 32 hours.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

32hrs/8hrs = 4 half lives.

Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

(1/2)^4 * 360

1/16 * 360

22.5 grams

And this is an exponential function.

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A company sells its printers to customers in order to make a profit of 25% calculate the price the company paid for a printer wh
ioda

The company paid $2000 for the printer

Step-by-step explanation:

Let x be the price of the printer for which the company bought it.

If x is the price of printer, then 25% of x will be the profit made by the company.

That is:

0.25x

According to the statement,

The cost and profit earned by company are equal to 2500

So,

x+0.25x = 2500\\1.25x = 2500

Dividing both sides by 1.25

\frac{1.25x}{1.25} = \frac{2500}{1.25}\\x = 2000

Hence,

The company paid $2000 for the printer

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7 0
3 years ago
Phil has 7 quarts of hot chocolate to give his class mates. how many of phils friend's can have one cup of hot chocolate
Rudik [331]
4 cups per quarter

4 x 7 = 28

28 kids can have a cup of hot chocolate.
4 0
3 years ago
Thirty percent (30%) of the bulbs in a large box are defective. If 12 bulbs are selected randomly from the box, calculate the pr
AleksandrR [38]

The probability that exactly 6 are defective is 0.0792.

Given:

30% of the bulbs in a large box are defective.

If 12 bulbs are selected randomly from the box.

To find:

The probability that exactly 6 are defective.​

Solution:

Probability of defective bulbs is:

p=30\%

p=\dfrac{30}{100}

p=0.3

Probability of non-defective bulbs is:

q=1-p

q=1-0.3

q=0.7

The probability that exactly 6 are defective is:

P(x=r)=^nC_rp^rq^{n-r}

P(x=6)=^{12}C_6(0.3)^6(0.7)^{12-6}

P(x=6)=924(0.3)^6(0.7)^{6}

P(x=6)=0.0792478958

P(x=6)\approx 0.0792

Therefore, the probability that exactly 6 are defective is 0.0792.

Learn more:

brainly.com/question/12917164

8 0
2 years ago
The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first
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Answer:

346

Step-by-step explanation:

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2 years ago
You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 7 of the 20 children present in your v
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Answer:

for of the vans will have 0.5 and ond will have 0.3

Step-by-step explanation:

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