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djyliett [7]
2 years ago
9

An experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate

of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour
Mathematics
1 answer:
Furkat [3]2 years ago
6 0

Answer:

about 6 hours

Step-by-step explanation:

8( {7}^{x} ) = 2( {10}^{6} )

{7}^{x}  = 250000

x =  \frac{ ln(250000) }{ ln(7) }  = 6.39

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Help me with both questions <br>plz read carefully so you can help me
Scrat [10]

Answer:

2. Both

3. e = 3, f = -5, g = 2

Step-by-step explanation:

2. Order doesn't affect product

3. You get e • f = -15, e • g = 6, f • g = -10 from the problem.

   e = -15/f    (solve for e)

   (-15/f) • g = 6    (plug into second equation)

   (-15g/f) = 6    (multiply)

   -15g = 6f    (multiply)

   (-5g/2) = f    (divide)

   (-5g/2) • g = -10    (plug into last equation)

   (-5g^2)/2 = -10    (multiply)

   -5g^2 = -20    (mulitply)

   g^2 = 4    (divide)

   g = 2    (square root)

   e • g = 6    (plug in for g, solve for e)

   e • 2 = 6

   e = 3

   f • g = -10    (plug in for g, solve for f)

   f • 2 = -10

   f = -5

I don't know if your teacher made a typo because I tried this multiple times and got the same answer. I don't know how e is negative.

8 0
3 years ago
Read 2 more answers
Your cat is trapped on a tree branch 10 feet above the ground. Your ladder is only 12 feet long. If you place the ladder’s
MariettaO [177]
Its would need to be 4 foot which makes a 90 degree angle and the top would have to be at a 35 degree angle i think

6 0
3 years ago
How many degrees are there in 5/6 of a revolution?
VMariaS [17]

Answer:

\Huge \boxed{300 \° }

Step-by-step explanation:

A revolution is 360 degrees.

5/6 of a revolution is 5/6 of 360 degrees.

5/6 × 360 = 300

6 0
3 years ago
Find the midpoint of the segment connecting the points (2,-7) and (-7,9).
True [87]

Answer:

(-2.5,1)

Step-by-step explanation:

hope that helps

4 0
3 years ago
A box of muffin mix has dimensions of 5 3/8 inches by 3 inches by 1 5/8 inches. What is the volume of the box? 15 15/64 cubic in
anyanavicka [17]
Answer is 26 13/64

first u need to simplify mixed number then multiply them all

43/8*3*13/8=1677/64
7 0
3 years ago
Read 2 more answers
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