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3 years ago

Explain how the expanded notation is method is used to multiply 82 times 3

1 answer:

7 0

You can easily take 8*10, since that equals 80, then add +2. Put parentheses around 8*10+2, then multiply that by 3. You should arrive at your answer

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The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole

lozanna [386]

Answer:

A = 0.75 gram or 1 gram

Step-by-step explanation:

The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole number).

We can use the following formula for half-life of $^{14}C$ to find out how much is left from the original sample after 2,292 years:

$A = A_{0}e^{-0.000124t}$

where:

A is the amount left of an original gram sample after t years, and

$A_{0}$ is the amount present at time t = 0.

The half-life of $^{14}C$ is the time t at which the amount present is one-half the amount at time t = 0.

If 1 gram of $^{14}C$ is present in a sample,

Solve for A when t = 2,292:

Substituting $A_{0}$ = 1 gram into the decay equation, and we have:

$A = A_{0}e^{-0.000124t}$

$A = A_{0}e^{-0.000124(2,292)}$

A = 0.75 g or 1 g

6 0

3 years ago

If segment DE is 12, what is segment BC?

katovenus [111]

Answer:

A) 24

Step-by-step explanation:

5 0

3 years ago

Julia enjoys shooting paper balls into the wastebasket across her office. She misses the first shot 50% of the time. When she mi

Marianna [84]

Answer:

a) Probability that Julia misses two shots in a row = $\frac{1}{2}\frac{1}{5} =\frac{1}{10}$

b) We can use the complement rule on this case. Let X the number of shoots successful, we want this probability:

$P(X \geq 1)$

And using the complement rule we have this:

$P(X \geq 1) = 1-P(X$

And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have:

$P(X\geq 1) = 1- \frac{1}{10}= \frac{9}{10}$

Step-by-step explanation:

Part a

For this case we know that Julia enjoys shooting paper balls into the basket across her office.

She misses the first shot 50% of the time.

Probability that Julia misses the first shot = $\frac{1}{2}$

When she misses on the first shot, she misses the second shot 20% of the time.

Probability that Julia misses the second shot = $\frac{1}{5}$

For this case we need to find the probability of missing two shots in a row

So we can multiple the two probabilities like this

Probability that Julia misses two shots in a row = $\frac{1}{2}\frac{1}{5} =\frac{1}{10}$

Part b

For this case we want probability of making at least one successful throw

And we can use the complement rule on this case. Let X the number of shoots successful, we want this probability:

$P(X \geq 1)$

And using the complement rule we have this:

$P(X \geq 1) = 1-P(X$

And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have:

$P(X\geq 1) = 1- \frac{1}{10}= \frac{9}{10}$

6 0

3 years ago

I will give many brainly

alex41 [277]

The 3rd one

Hope this helps

6 0

3 years ago

What is 270° converted to radians? A: pi/6 B: 3/2 C:3pi/2 D:3

Ilia_Sergeevich [38]

Answer:

(3pi/2)

Step-by-step explanation:

Conversion to radians:

270 * (pi/180)= (270pi/180)= (3pi/2)

8 0

4 years ago

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