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Dafna11 [192]
3 years ago
15

Counterexamples John says that if one side of an inequality is 0, you

Mathematics
2 answers:
Romashka [77]3 years ago
7 0

Answer with explanation:

Mathematically , john's statement is wrong which is:→ if one side of an inequality is 0, you  don’t have to reverse the inequality symbol when you multiply or divide  both sides by a negative number.

Counterexample :Consider an example

→ 4x  ≥ 0, where x is a positive integer.

If we multiply or divide both sides by , -1, the inequality would result into

→ -4x ≤ 0

This transformed inequality is valid only when ,x is a Positive Integer.Here after multiplying by negative integer ,if we will not change the inequality sign, it will be an invalid Inequality.

Burka [1]3 years ago
5 0
He may be wrong. If he was wrong, this is the example. 

0 < -10x

If we were to divide both sides by -10, even though the answer would be undefined or just end up as zero, it is just a common rule to always flip the sign whenever you divide or multiply by a negative. 

Don't quote me on it, but I think I'm right.

Hope this helped!

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5
liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

Q(t) = Q(0)e^{rt}

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that Q(5730) = 0.5Q(0)

So

Q(t) = Q(0)e^{rt}

0.5Q(0) = Q(0)e^{5730r}

e^{5730r} = 0.5

\ln{e^{5730r}} = \ln{0.5}

5730r = \ln{0.5}

r = \frac{\ln{0.5}}{5730}

r = -0.00012

So

Q(t) = Q(0)e^{-0.00012t}

How old is the fossil?

This is t for which

Q(t) = 0.8Q(0)

So

Q(t) = Q(0)e^{-0.00012t}

0.8Q(0) = Q(0)e^{-0.00012t}

e^{-0.00012t} = 0.8

\ln{e^{-0.00012t}} = \ln{0.8}

-0.00012t = \ln{0.8}

t = -\frac{\ln{0.8}}{-0.00012}

t = 1860

The fossil is 1860 years old.

4 0
3 years ago
Will give brainliest ! need help due in an hour
bekas [8.4K]
If I’m not mistaken your years are going to be the x value and the cases are your y values so type the year as the x value and type the number of cases as the y value Let me know if I was right
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3 years ago
What is the value of the expression
Neko [114]

Hello!

Answer:

12(3+4+5+...+12+13)= 1,056

Step-by-step explanation:

After evaluating the expression it gave me : 1,056          

Hope this helps!  

3 0
3 years ago
which has the greatest mass? a.) 3.88 x 10^22 moecules of O2, b.)1.00 g of O2, C.)0.0312 mol of O2, D.) All of these have the sa
tresset_1 [31]
The right option is A.
8 0
3 years ago
What is 3/15 in a decimal
Damm [24]
Well, since 3/15 can be simplified to 1/5 by dividing the top and the bottom by 3, you would just need to find the decimal of 1/5 which is much more commonly recognized. it's .2 (becasue 1/10 would be .1 and 1/5=2/10 so .1x2=.2) 
4 0
3 years ago
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