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torisob [31]
4 years ago
8

An initial number of bacteria presented in a culture is 1,000. This number triples every 30 minutes. Write a function expressing

the number of bacteria over time.
Mathematics
1 answer:
Svetlanka [38]4 years ago
8 0
Tripiling time is
A=P(3)^ \frac{t}{r}
t=time elapsed
r=tripling time
P=initial amount


so


A=1000(3)^ \frac{t}{30}
when time is measured in minutes
if measured in hours then

A=1000(3)^{2t} orA=1000(9)^{t}
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Which expression is equivalent to 36/(4 + y)?
I am Lyosha [343]

Answer:

B) 36/(y+4)

Step-by-step explanation:

Use the process of elimination.

A cannot work because we are changing the operation. Instead of dividing thirty-six by the sum of four and a number, we are dividing thirty-six by four, then adding the unknown number. This is not the same as the original expression, so we know it is not this.

Next, check C. C doesn't seem right either. Remember that, unlike multiplication and addition, you cannot flip the order in which the operation is being done and still get the same answer. C says four plus a number divided by thirty-six, which is entirely different from our original expression. So the answer is not C.

And finally, check D. D doesn't work either. With D, we are dividing thirty-six by a number, then adding it to thirty-six divided by four. This is not the same as our original expression, so D isn't it.

That leaves us with B. Does it work? Yes, because changing the y and the four still will give the same thing. And yes, because 36 is being divided by the sum of that number and four. So it is our answer.

8 0
2 years ago
Been trying to get this one answered for months, will make the first one to answer a brainliest :D Please explain how you did it
Nikitich [7]

Answer:

\frac{2}{7}

Step-by-step explanation:

In order to find the slope of a line you must find where the points intersect, use the formula for slope, substitute values, and simplify if needed.

In this case we were already given the points for slope:

P1=(-4,-4) = (x1,y1)

P2=(-2,3)=(x2,y2)

Slope formula:

slope = \frac{y2-y1}{x2-x1}

Now substitute:

\frac{-2--4}{3--4}

Solve using KCC: (Keep, Change, Change)

-2+4=2

3+4=7

=\frac{2}{7}

Because the slope isn't a negative you do not need to simplify the answer.

Hope this helps.

8 0
3 years ago
What are these fractions in simplest form?
Anton [14]
\frac{16y^{3}}{20y^{4}} =  \frac{4}{5y}
\frac{6xy}{16y} =  \frac{3x}{8}
\frac{abc}{10abc} =  \frac{1}{10}
\frac{mn^{2}}{pm^{5}n} =  \frac{n}{pm^{4}}
\frac{12h^{3}k}{16h^{2}k^{2}} =  \frac{3h}{4k}
\frac{8x}{10y} =  \frac{4x}{5y}
\frac{24n^{2}}{28n} =  \frac{6n}{7}
\frac{30hxy}{54kxy}  =  \frac{5h}{9k}
\frac{5jh}{15jh^{3}} =  \frac{1}{3h^{2}}
\frac{20s^{2}t^{3}}{16st^{5}} =  \frac{5s}{4t^{2}}
8 0
3 years ago
The ratio of the lengths of the corresponding sides of two rectangles is 8:3. The area of the larger rectangle is 320 ft2. What
cluponka [151]
The area of the smaller rectangle is 320*3/8=120 ft2
7 0
3 years ago
Read 2 more answers
What is m∠LQK ?<br><br> Enter your answer in the box.
Lady_Fox [76]
∠LQK+∠GQL=90º
Therefore:
(4n-15)+(3n)=90
7n=90+15
7n=105
n=105/7
n=15

∠LQK=4n-15=4(15)-15=60-15=45

Answer: ∠LQK=45º
5 0
3 years ago
Read 2 more answers
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