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2 years ago

After reading a low of -16°F at 10 P.M.,

Mathematics

2 answers:

Rus_ich [418]2 years ago

6 0

The temperature would be -7 degrees

romanna [79]2 years ago

3 0

Answer:

-7

Step-by-step explanation:

First determine the number of hours that have past from 10PM to 1 AM

10PM to 11 PM is 1 Hour

11PM to 12 AM is 1 Hour

12AM to 1 AM is 1 hour

for a total of 3 hours

Next multiply the average number of degrees the temperature is rising by the number of hours that passed

3 x 3 =9 which is the total number of degrees the temperature has risen by.

Now add 9 to -16

-16 + 9 = -7

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Answer:

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3 years ago

What is the slope and y intercept of this diagram

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2 years ago

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Step-by-step explanation:

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3 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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2 years ago

Johanna receives a report that says her typing speed is 65 words per minute. She knows that she made 4 errors in the 5-minutes t

oksian1 [2.3K]

How many words did she type in 5 minutes ?

65x5 - 4 = 325 - 4 = 321 words

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2 years ago