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ziro4ka [17]
3 years ago
12

The greatest common factor of two numbers is __________. A. the smallest number that is a divisor of both numbers B. the largest

number that is a divisor of both numbers C. any common factor of the two numbers D. the largest factor that divides evenly into one number, but not the other
Mathematics
2 answers:
Ghella [55]3 years ago
6 0
B is the correct answer since the greatest common factor is the greatest common divisor
Sophie [7]3 years ago
4 0
The correct answer choice is B. "The largest number that is a divisor of both numbers."

A can't be correct, because if we are looking for the greatest common factor, we don't want the smallest number.
C can't be correct, because if we are looking for the greatest common factor, it can't be just any number.
And D can't be correct either. If we are looking to find the greatest common factor of two number, the factor has to divide into both evenly, not just one.

I hope this helps.
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The​ half-life of a certain tranquilizer in the bloodstream is 22 hours. How long will it take for the drug to decay to 90​% of
nasty-shy [4]

Answer:

It will take approximately 3.34 hours for the drug to decay to 90% of the original dosage

Step-by-step explanation:

As suggested, we use the formula for exponential decay:

A(t)=A_0\,e^{-k\,t}

From the given information, the half life of the drug in blood id 22 hours, so that means that it takes that number of hours to go from the initial value A_0, to a final value equal to A_0/2. Using this information we can find the decay rate "k" by solving for this parameter in the formula, and using the natural log function to bring the exponent down:

A(t)=A_0\,e^{-k\,t}\\\frac{A_0}{2} =A_0\,e^{-k\,*22}\\\frac{A_0}{A_0*2} =e^{-k\,*22}\\\frac{1}{2} =e^{-k\,*22}\\ln(\frac{1}{2})=-k\,*22\\ k=-\frac{ln(\frac{1}{2})}{22} \\k=0.0315

Now we use this value for the decay rate "k" to calculate how long it would take to decay to 90% of the original dose;

A(t)=A_0\,e^{-0.0315\,t}\\0.9*A_0} =A_0\,e^{-0.0315\,t}\\\frac{0.9*A_0}{A_0} =e^{-0.0315\,t}\\0.9 =e^{-0.0315\,t}\\ln(0.9)=-0.0315\,t\\ t=-\frac{ln(0.9)}{0.0315} \\t=3.3447\,hours

7 0
3 years ago
What is the LCM of 20 and 40?<br> 5<br> 10<br> 20<br> 40
zepelin [54]

Answer:

i think this is the answer

4 0
3 years ago
Help on math? Thanks
Anuta_ua [19.1K]
C is the answer

Dmmssmsmsmxmxxmxm
5 0
3 years ago
1 point
dolphi86 [110]

Answer:

Find the unit rate of each printing machine and compare.

Step-by-step explanation:

3 0
3 years ago
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Which of the following fall(s) at a z-score of 0.0 in a normal distribution? Mean Median Mode Mean, media and mode
Artist 52 [7]

Answer: Median Mode Mean

Step-by-step explanation:

A normal distribution a symmetric distribution where most of the values lies around the central peak where Mean, median mode all lies together and the value of z=0 (as z-value given the distance of data values from mean with respect to the standard deviation).

i.e.  Z-score of 0 has 50% of the area to the left and 50% area to the right.

Hence, at a z-score of 0.0 in a normal distribution Mean, Median and Mode all fall together.

7 0
3 years ago
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