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anastassius [24]
3 years ago
14

How would you do this?

Mathematics
2 answers:
Bess [88]3 years ago
6 0
It would be 6.0x4 because the square is 6.0 on each side
oksano4ka [1.4K]3 years ago
5 0
The answer is 6.0 x 4
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Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li
krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years

First, let us calculate the decay constant (k)

75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036

Next, let us calculate the half-life as follows:

\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2}  \approx 669\ years

Therefore the half-life is between 600 and 700 years

5 0
3 years ago
I need help with this
Ostrovityanka [42]

Answer:

Christy is correct

Step-by-step explanation:

you dont say the numbers in words all the time, so it makes a lot more sense.

5 0
4 years ago
Neighborhood block:
katen-ka-za [31]

Answer:

<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times Bijan run around the neighborhood block = 20

Total distance Bijan run = 8 miles

Length of the block = 3/20 = 0.15 miles

2. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.

Let's find the perimeter of the neighborhood block and the width, this way:

A. Rule of Three Direct for find the perimeter:

Laps              Distance

20                   8 miles

1                       x miles

x * 20 = 8

20x = 8

x = 8/20

x = 2/5 or 0.4 miles

B. Formula of the perimeter to find the width

Perimeter = 2 Length + 2 Width

Replacing with the real values we know:

0.4 = 2 * 0.15 + 2w

0.4 = 0.3 + 2w

0.4 - 0.3 = 2w

0.1 = 2w

w = 0.1/2

w = 0.05 miles

<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>

8 0
4 years ago
Read 2 more answers
Please help and show work
PSYCHO15rus [73]
Multiply 5x8 then cut it in half and thats your answer
6 0
3 years ago
A 9-pack of popsicles costs $4.23. What is the unit price?
Rom4ik [11]

Answer:

Unit price is $0.47

Step-by-step explanation:

4.23÷9= .47

5 0
3 years ago
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