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3 years ago

Potrzebuje na dzisiaj !!!! Daje naj za dobrą odp ;D

Mathematics

1 answer:

nevsk [136]3 years ago

4 0

Which one do you need help with

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The value of n for the equation 5n = 5 11 × 5 3

ExtremeBDS [4]

If you add the two terms on the right, you will get 5^14. 14 is your answer.

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3 years ago

Kimi’s dog gives birth to a litter of 4 puppies per year, on average. The relationship between time and the expected total numbe

leva [86]

Step-by-step explanation:

There is no picture showing a graph, I'm very sorry but you have to press the bottom of the screen where it has a paperclip thing and then you have to add a picture from your gallery. I. sorry I couldn't answer you're question but you can redo it with the photo of the graph and I will try to answer it.

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2 years ago

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

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3 years ago

Craig went bowling with $190 to spend. He rented shoes for $ 10.00, paid $20 for food, and paid $10.00 for each game bowled. How

Mazyrski [523]

Craig could play 16 games

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2 years ago

Ali purchased a container of mandarin

viktelen [127]

Answer:

peepeepoopoo

Step-by-step explanation:

ur mom

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3 years ago