0.2cubed + (1/5 * 3/4) - 1/12

Mathematics

1 answer:

solmaris [256]3 years ago

6 0

Answer:

Step-by-step explanation:

0.2³ + (1/5 × 3/4) - 1/12

According to my syllabus, we use BODMAS. i.e Brackets, Of, Division, Multiplication, Addition and Subtraction in that order.

0.2³ + 3/20 - 1/12

0.008 + 3/20 - 1/ 12

Change the decimal to a fraction and work out the rest.

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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

What is the result of dividing 2x3 – 3x2 – 17x + 30 by x + 3

jekas [21]

2x^3 - 3x² - 17x + 30 | x + 3
________________________ 
2x^3 + 6x² _________| 2x² - 9x + 10
_____-9x² - 17x ____ | 
_____-9x² - 27x ____ | 
_________ 10x + 30 _| 
_________ 10x + 30 _| 
________ _____ __0 _|

Ans = 2x² - 9x + 10

BRAINLIEST PLS!!!

7 0

3 years ago

Which

bogdanovich [222]

Last one 1/4x
because the opposite of 1/4 is 4/1

5 0

2 years ago

I don't know just someone answer this for me thanks

lesya692 [45]

Answer:

the answer would be 43 degrees.

Step-by-step explanation: