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3 years ago

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Alaska has a land area of about 1,700,000 square kilometers Florida has a land area 1/10 the size of Alaska.what is the land are

a of Florida

1 answer:

Virty [35]3 years ago

5 0

1700000/10 is 170000
So the size of Florida is 170,000 $kilometers^{2}$

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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

Z=qm/q+m solve for m

leonid [27]

M= QZ/Q-Z Ihope this helps

4 0

3 years ago

Complete the equation of the line through (3,-8) and (6,-4).<br> Use exact numbers

MakcuM [25]

Answer: y= 4/3x -8

Step-by-step explanation:

-4 - -8 over 6 - 3

-4 + 8 over 3

4 over 3

Y intercept is y1 which is -8

7 0

3 years ago

Can you please Solve for x and y

hichkok12 [17]

Answer:

x = 35, y = 26.5

Step-by-step explanation:

x = 35 ( Alternate angles are congruent )

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2y - 10 + 35 + 102 = 180, that is

2y + 127 = 180 ( subtract 127 from both sides )

2y = 53 ( divide both sides by 2 )

y = 26.5

8 0

3 years ago

10. John invests $50 in an account earning 60% interest every year.

ser-zykov [4K]

Answer:

A is $30

B is $60

Step-by-step explanation:

4 0

2 years ago