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2 years ago

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Suppose a temperature of −101°F was recorded in Antarctica and a temperature of 121°F was recorded in the Sahara Desert. How man

y degrees warmer is 121°F than −101°F?

1 answer:

lesya692 [45]2 years ago

7 0

222 degrees F, 121 minus -101 = 222

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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

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2 years ago

Will give brainliest to first right answer. Before a sale an items price was $28.00 then after being discounted the price was $1

matrenka [14]

The discount was 48%. The original price was $28.00, but the new price was $14.60.

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3 years ago

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trasher [3.6K]

Answer:

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Step-by-step explanation:

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2 years ago

How do you solve 3/4 (5+x) + 4 = 3x + 1? Thanks:)

elena-s [515]

$\dfrac{3}{4}(5+x)+4=3x+1\ \ \ \ |\cdot4\\\\3(5+x)+16=12x+4\ \ \ |\text{use distributive property}\\\\(3)(5)+(3)(x)+16=12x+4\\\\15+3x+16=12x+4\\\\31+3x=12x+4\ \ \ \ |-31\\\\3x=12x-27\ \ \ \ |-12x\\\\-9x=-27\ \ \ \ |:(-9)\\\\\boxed{x=3}$

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2 years ago

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zalisa [80]

Answer:

42.667 mm to 42,673 mm

Step-by-step explanation:

42.67-0.003=42.667

42.67+0.003=42.673

Add and subtract the discreprency from the standard size.

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2 years ago