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
jek_recluse [69]
3 years ago
6

A bacteria culture is doubling in size of every day. If the bacteria culture starts at 5,200, write an equation for its populati

on size,p, as a function of the number of days ,d, since it started
Mathematics
1 answer:
ankoles [38]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

The equation is:

Total(t)=5200*(2)^{t}

<h2>Why?</h2>

It's an exponential growth problem, we can calculate the exponential growth using the following equation:

Total(t)=StartPopulation*(1+r)^{\frac{t}{2}}

Where,

Total, is the total population after "t" time in days.

Start population, for this is equal to 5,200

r,is equal to the percent of growth, for this case it's 100% each day.

t, is the time elapsed.

So, rewriting the equation, we have:

Total(t)=5200*(1+\frac{100}{100})^{t}

Total(t)=5200*(1+1)^{t}

Total(t)=5200*(2)^{t}

Have a nice day!

You might be interested in
Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers,
Rus_ich [418]

Answer:

13800

Step-by-step explanation:

The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.

There are 25 members, of which 3 are selected.

\begin{array}{l}n=25 \\r=3\\end{array}

Evaluate the definition of a combination:

P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800

8 0
3 years ago
How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

.

For instance, if I divide the set into parts {1,2,4}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

.

Once one makes that observation, the rest of the proof is straightforward. There are 25=32

different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.

8 0
3 years ago
A line of best fit predicts that when x equals 28 y will equal 27.255 but y actually equals 26 what is the residual in this case
Kobotan [32]

Answer:

The answer is -1.255 for residual value.

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value =  26 - 27.255

Residual values = -1.255

4 0
3 years ago
Can someone please help
Juliette [100K]

Answer:

201.06

Step-by-step explanation:

3.14 * 8^2= 201.06

(pi * radius ^ squared)

5 0
3 years ago
Read 2 more answers
A snail travels 10 cm in 4 minutes. At this rate: How long will it take the snail to travel 24 cm? minutes How far does the snai
vovangra [49]

Answer:

1) 9 min 36 sec (9.6min)

2) 15 cm

Step-by-step explanation:

10 cm -->4 min

1 cm --> 0.4 min

24cm --> 9.6 min

15 cm--> 6min

3 0
3 years ago
Read 2 more answers
Other questions:
  • The drawing below (not to scale) shows a running track. The ends are semicircles. The distance between the two inner parallel st
    9·1 answer
  • 2x-7y=12 for y answer please​
    13·2 answers
  • I need help for number 5. Plz
    10·2 answers
  • List all the elements of the sample space for the following experiment: You spin a spinner with four equal sections labeled 1, 2
    9·1 answer
  • Use integers to represent the values in the statement. The highest elevation in a country is Mt. Snowy with an altitude of 17,31
    8·1 answer
  • 2. Graph each equation using a table of values.<br> (a)) y = 3x - 1
    5·1 answer
  • Joes score increased by 7 is 67
    9·2 answers
  • | 3 x - 2 | = 4x + 4
    11·1 answer
  • the scale given on a road map is 1 cm equal 120 km what is the actual distance represented by 6 cm on the map​
    5·1 answer
  • Express 0.106 as a fraction
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!