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max2010maxim [7]
3 years ago
6

A certain bacteria is growing at a rate of 4 percent each day. If the culture of bacteria has 5,000 bacteria today, how many bac

teria will be present 10 days from now?
Mathematics
2 answers:
Snezhnost [94]3 years ago
8 0
This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula:
f(t)=ae^(kt)
where;
a=initial number=5000
k=constant of proportionality= 0.04
t=time=10 days
f(t)=future number
thus the number of bacteria in 10 days will be:
f(t)=5000e^(0.04*10)
f(t)=7,459.12
The answer is 7,459.12
Alex3 years ago
3 0
We know that the culture of bacteria has 5,000 bacteria today.
Also : p = 4 %  = 0.04, and t = 10 ( 10 days from now )
The formula is:
A = P * ( 1 + p )^t
A = 5,000 * ( 1 + 0.04 ) ^10
A = 5,000 * 1.04^10
A = 5,000 * 1.48
A = 7,401
Answer: There will be 7,401 bacteria.
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In the diagram of O, m∠JOK = 60° and OJ = 6 in. What is the exact area of the shaded region?
Sophie [7]

Answer:   6π

<u>Step-by-step explanation:</u>

Area of a circle is π r².

Area of a section of a circle is π r² × the section of the circle.

A=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)

Given: r = 6, Ф = 60°

A=\pi (6)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =\pi (6)^2\bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =6\pi

3 0
2 years ago
Write the expression in WORDS!<br><br> 5x + 3
Svet_ta [14]
The expression 5x+3 would be three more than five times a number! More than in this case would be addition - so if you get the same problem with subtraction you just change more to less!
Basically what it's tell you is that if x stood for 2 in this case 5*2 = 10 since it's 3 MORE than 5 times a number (x is in place of a number), you're adding 3 to 10 and that gives you 13!
I hope I simplified it a little more and you understand!
Good luck, rockstar! c: I hope this helped!
8 0
2 years ago
What is the answer and work to this problem. <br> 4x+2y=14<br> 2x+y=7
Nimfa-mama [501]

The given system of equation has no solution.

<u>Step-by-step explanation</u>:

<u><em>step 1</em></u><em> :</em>

The given equations are 4x + 2y = 14 and 2x + y = 7.

<u><em>step 2</em></u><em> :</em>

Let 4x + 2y = 14 be the first equation.

Let 2x + y = 7 be the second equation.

The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.

<u><em>step 3</em></u><em> :</em>

In first equation taking 2 out as a common factor on both sides, the equation becomes:

2 (2x + y) = 2 (7)

So, the first equation resembles the second one.

<u><em>step 4</em></u><em> :</em>

Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.

5 0
3 years ago
If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?
Rufina [12.5K]
x is in quadrant I, so 0, which means 0, so \dfrac x2 belongs to the same quadrant.

Now,

\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}

Since \sin x=\dfrac5{13}, it follows that

\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}

Since x belongs to the first quadrant, you take the positive root (\cos x>0 for x in quadrant I). Then

\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}

\tan x is also positive for x in quadrant I, so you take the positive root again. You're left with

\tan\dfrac x2=\dfrac15
4 0
3 years ago
If a line of one billion people stretched 327,495 miles long, the average shoulder width of the people in the line is A feet. Ro
Ganezh [65]

Answer:

  1.7 ft

Step-by-step explanation:

We presume you want to find A. And we presume the people are standing shoulder-to-shoulder.

  (327,495 mi)/(10^9 persons) = (3.27495×10^5 mi)/(10^9 persons) × (5280 ft/mi)

  = 1.7291736×10^9 ft/(10^9 persons)

  = 1.7292736 ft/person

  ≈ 1.7 ft/person

3 0
3 years ago
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