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loris [4]
4 years ago
10

A certain bacterias population is cut in half every 6 hours. After 2 full days, there are 400 bacteria in the culture. How many

bacteria were in the culture at the start of the day?
Mathematics
1 answer:
nlexa [21]4 years ago
6 0
In this question, the population of the bacteria will become half after 6 hours and the duration (2 days=48 hours) and the final amount of bacteria (400 bacteria), To find the number of bacteria at the start(initial number), the calculation would be:

Final number = initial number / 2^(duration/6hours)
400= initial number / 2*(48/6)
initial number = 400 * 2^8= 102,400
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Solve the following inequality for x. -5x<-15x+40
melisa1 [442]

Answer:

x is less than 4

or

x is greater than 4

Step-by-step explanation:

-5x < -15x + 40 -5x < -15x + 40

+15x +15x -40 -40

10x < 40 -40 - 5x < -15x

÷10 ÷10 +5x +5x

× < 4 -40 < -10x

÷10 ÷10

4 < ×

5 0
3 years ago
4. The distance covered by the cook in Triangle A equals _______________ eighteen-inch steps.
laiz [17]
We know that

<span>to convert feet to inches we must multiply by 12

</span>4. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*16*12=2880 in
then add, 960 + 2640 + 2880 = 6480 in

the answer asks for the distance in 18 in lengths 
so divide 6480 by 18 -------------> 6480/18=360 

the answer part N 4) is 360 eighteen-inch steps
<span>
5. The distance covered by the cook in Triangle B equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*16*12=1920 in
c) sink and stove--------------> 15*16*12=2880 in
</span><span>then add, 960 + 1920 + 2880 = 5760 in
</span>
<span>the answer asks for the distance in 18 in lengths
so divide 5760 by 18 -------------> 5760/18=320 
</span><span>
the answer part N 5) is 320 </span>eighteen-inch steps

6. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*15*12=900 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*15*12=2700 in
then add, 900 + 2640 + 2700 = 6240 in

the answer asks for the distance in 18 in lengths 
so divide 6240 by 18 -------------> 6240/18=346.67------> 347

the answer part N 6) is 347 eighteen-inch steps<span>

</span>
3 0
3 years ago
On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. Th
weqwewe [10]

Answer:

\huge\boxed{BD = 12\ units}

Step-by-step explanation:

If AB = 5 , then AE = 5 [Radii of the same circle]

So,

AC = AE + EC

AC = 8+5

AC = 13 units

Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

c^2=a^2+b^2

Where c = AC , a = BD and b = AB

13^2 = BD^2+5^2

169 = BD² + 25

Subtracting 25 to both sides

169 - 25 = BD²

BD² = 144

Taking square root on both sides

BD = 12 units

5 0
3 years ago
What is the value of y?​
romanna [79]

Answer:

60

Step-by-step explanation:

y+y+60=180

2y =120

therefore,y=60

7 0
3 years ago
Read 2 more answers
Moneysaver's Bank offers a savings account that 7interest compounded continuouslyIf Donna deposits 2200, how much will she have
OverLord2011 [107]

For an initial amount deposited P and an annual interest rate r, the total amount T in the account after t years is given by:

T=P(1+r)^t

For P = $2200, r = 7% and t = 5 years, we have:

\begin{gathered} T=2200(1+0.07)^5 \\ T=\text{ \$3,085.61} \end{gathered}

3 0
1 year ago
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