1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
otez555 [7]
3 years ago
7

In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to dou

ble every 12 hours. How long would it be, to the nearest tenth of an hour, until there are 260 bacteria present?
Mathematics
2 answers:
Hoochie [10]3 years ago
8 0

Answer:

  16.5 hours

Step-by-step explanation:

You know the initial value (100) and the growth factor (2), along with the period associated with that growth factor (12 hours). This lets you write the exponential growth equation as ...

  n = 100×2^(t/12)

For n=260, we can divide by 100 and take the log.

  260 = 100×2^(t/12)

  2.6 = 2^(t/12)

  log(2.6) = (t/12)log(2) . . . . next, divide by the coefficient of t

  12×log(2.6)/log(2) = t ≈ 16.5 . . . . hours

It will be about 16.5 hours until there are 260 bacteria present.

NikAS [45]3 years ago
5 0

Answer: 16.5 hours

Step-by-step explanation:

this is an example of exponential growth

P = initial * (rate)^x

there are 100 bacteria initially and the rate is 2 since they double, and x would be t/12, because it takes 12 hours to double

so the equation is P = 100 * 2^(t/12)

now substitute 260 in for P and solve for t

260 = 100 * 2^(t/12)

2.6 = 2^(t/12)

t/12 = log_{2}2.6

t = 12(log_{2}2.6)

t = 16.5 hours

You might be interested in
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round y
jenyasd209 [6]

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

= 0.8916%

Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

= $20,000×0.008916

= $178.3

Hence the approximate monthly decrease in value is $178.3

7 0
3 years ago
What time is it 120 minutes after midday?​
coldgirl [10]
Midday is 12pm so you add whatever hours to that. Which is 1:20pm after midday (12pm)
7 0
3 years ago
Find the volume of a square pyramid with base edge = 9 cm
kondaur [170]
16 cm

HHHHHHHHHHHHHHHHHHHHHHHHH
4 0
2 years ago
Solve for a<br>5+14a=9a-5 a=​
poizon [28]

Answer:

-2

Step-by-step explanation:

5+14a=9a-5

+5      +5

10+14a=9a

-9a      -9a

10+5a=0

-5a   -5a

10= -5a

÷5   ÷5

2= -a

*-1  *-1

-2=a

4 0
3 years ago
Question 5 and 6 please help me
sp2606 [1]

Problem 5

The function is continuous for the given domain x \ge 6

This is because y = (-5/6)x+5 is itself continuous, and any interval subset of this function is also continuous. We can plug in any real number that is equal to 6 or larger, and get some y output. If we plugged in x = 6, then we'd get

y = (-5/6)x+5

y = (-5/6)*6 + 5

y = -5+5

y = 0

This is the largest y value possible. Why? Because y = (-5/6)x+5 has a negative slope, so the graph is going downhill as you read it from left to right. As x gets bigger, y gets smaller. The smallest x value allowed in the domain produces the largest y value in the range. There is no smallest y value as the y values keep going down forever.

The range is therefore y \le 0

In interval notation, you can write the range as (-\infty, 0]. The square bracket indicates "include this endpoint as part of the range".

======================================================

Problem 6

The function is discrete for this given domain. The domain itself is a discrete list of values. We cannot plug in values between say 0 and 2. We can only substitute one of those values from the list given. Consequently, the y values will also be a list, and not an interval like problem 5 had.

-----------

If you plugged in x = -4, then you should get...

y = (-1/2)*(-4)+2

y = 2+2

y = 4

So the input x = -4 lead the output y = 4

Repeat for x = -2

y = (-1/2)x+2

y = (-1/2)*(-2)+2

y = 1+2

y = 3

and the same for x = 0 as well

y = (-1/2)x+2

y = (-1/2)*0 + 2

y = 0 + 2

y = 2

and x = 2 also

y = (-1/2)x+2

y = (-1/2)*2 + 2

y = -1+2

y = 1

Finally, plug in x = 4

y = (-1/2)x+2

y = (-1/2)*4+2

y = -2+2

y = 0

---------------

If we plugged each of these x values {-4, -2, 0, 2, 4} one at a time into the equation y = (-1/2)x+2, then we get this list of values {4, 3, 2, 1, 0}

Sorting the values from smallest to largest, we have this range {0, 1, 2, 3, 4}

3 0
2 years ago
Other questions:
  • HELP! I will give BRAINLIEST!! Please EXPLAIN Olga tried to solve an equation step by step. ​ Equation: 1/4 ( 1/3k + 9) = 6 ​ St
    10·1 answer
  • What is the vertex of the absolute value function defined by ƒ(x) = |x - 7| + 1?(
    9·1 answer
  • G(x) = - 4x2 + 4x + 5 Find the value of g(1).
    7·1 answer
  • A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes
    12·1 answer
  • The width of a rectangle is 2 cm less than its length. the perimeter is 52 cm. the length is:
    5·1 answer
  • Eighty-five more than the square of a number is the same as the square of the quantity that is $17$ less than the number. What i
    12·1 answer
  • If f(x) = 3x + 2, what is f(5)?​
    7·2 answers
  • An 8th grade class project involves decorating a rectangular box with the following dimensions.
    8·1 answer
  • What is the slope of the line that passes through the points ( 5 , 6 )and ( 5 , 9 ) ? Write your answer in simplest form.
    14·1 answer
  • Y =28547, 11504 is obese, what is the %
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!