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timama [110]
2 years ago
15

If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1),

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
4 0

a=-1

Using the midpoint formula directly from the topic meaning

\frac{x_{1}+x_{2}  }{2}  or  \frac{y_{1}+y_{2}  }{2}

so

\frac{a+a+4}{2} =1\\a=-1

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<h2>Hello!</h2>

The answer is: 23.77 hours

<h2>Why?</h2>

Total(t)=Start*2^\frac{t}{15}

Where:

Total(t) is equal to the amount for a determined time (in hours)

<em>Start</em> is the original amount

<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77

So, to know if we are right, let's replace 23.77 h in the equation:

Total(t)=100*2^\frac{23.77}{15}=299.94

and 299.94≅300

Have a nice day!

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We have been given that a sports drink recipe calls for 5/3 tablespoons of powered drink mix for every 12 ounces of water.

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