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Alex Ar [27]
3 years ago
15

Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4 ​

days, how long will it take for the concentration to reach 102 comma 000 bacteria per​ milliliter?
Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

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What is the answer to 2x+4y=16:4y=12
allsm [11]

Answer:

Here,

2x + 4y = 16....eqn \: i \\ 4y = 12....eqn \: ii

substituting the value of 4y in eqn i fron eqn ii

so eqn i becomes

2x + 12 = 16 \\ 2x = 4 \\ x = 2

So

y = 12 \div 4 = 3

Thus,

x = 2 \: and \: y = 3

...hope this helps:)

8 0
1 year ago
The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
2 years ago
Write the equation of the line that passes through the point (2,-1) and has a slope of -3
Ber [7]

Answer:

y=2/-1 -3

Step-by-step explanation:

7 0
3 years ago
Da sofa is on sale for $98.60, which is 29% of the regular price. What is the regular price ?
yaroslaw [1]
Let the regular price be X
x\98.60 x 100=29%
100x\98.60=29(multiply both sides by 98.60 to remove the denominator
100x=2859.4(divide both sides by 100
x=28.594
regular price=$28.594
4 0
3 years ago
Combine like terms to create an equivalent expression: -n + (-4) - (-4n) + 6
Taya2010 [7]

Answer:

3n + 2

Step-by-step explanation:

-n + 4n -4 + 6

3n + 2

6 0
3 years ago
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