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
Maru [420]
3 years ago
6

wo crafty bacteria fall into a pot of milk which has recently been sterilized. They reproduce at a rate of 4% per day. Determine

how many bacteria will be present after 100 days.
Mathematics
1 answer:
RideAnS [48]3 years ago
7 0

Answer:

Number of bacteria after 100 days is 1237.

Step-by-step explanation:

Since bacterial growth is a geometrical sequence.

Therefore, their population after time t will be represented by the expression

S_{n}=\frac{a(r^{n}-1)}{r-1}

Where a = first term of the sequence

r = common ratio of the sequence

n = duration or time

Since first term of the sequence = number of bacteria in the start = 1

Common ratio = r = (1 + 0.04) = 1.04

S_{100}=\frac{1[(1.04)^{100}-1)]}{1.04-1}

       = \frac{(50.5049-1)}{(0.04)}

       = 1237.64 ≈ 1237 [Since bacteria can't be in fractions]

Therefore, number of bacteria after 100 days is 1237.

You might be interested in
Lonna gave away 13/8 pie to her neighbor. Each pie was cut into 8 pieces. How many pieces of pie did lonna give to her neighbor
tankabanditka [31]

Answer:

13 pieces

Step-by-step explanation:

We are given that each pie was cut into 8 pieces .

therefore 1 pie is equal to 8 pieces

1 pie = 8 pieces

Lonna gave 13/8 pie to her neighbor .

So multiply both sides with 13/8 in the above equation in order to make the right side into 13/8 pie and to find the corresponding number of pieces .

1×\frac{13}{8} pie=8×\frac{13}{8} pieces

\frac{13}{8} pie = 13 pieces





4 0
3 years ago
Read 2 more answers
Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

  • AB ≅ BA;
  • AC ≅ BD;
  • BC ≅ AD;
  • ∠ABC ≅ ∠BAD;
  • ∠BCA ≅ ∠ADB;
  • ∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

  • AC ≅ BD;
  • ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
  • ∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0
3 years ago
How do you write the equation 0=x+1 in standard form
Elanso [62]

Answer:

x=-1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!!!!!!!!!!!!! the answer for question one was x=30
VMariaS [17]

Answer:1

1. x = 30

2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°

Step-by-step explanation:

It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°

We know this using the formula(n-2)\cdot 180, a 4 sided figures angles will add up to

(4-2)\cdot 180\\\\2\cdot 180\\\\360

This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

4x + 3x + 2x + 3x = 360

Combine like terms:

12x = 360

Divide both sides by 12:

x = 30

We know now substitute x for 30 in for all of the side lengths.

∠ABC = 4x = 4\cdot 30 = 120°

∠BCD = 3x = 3\cdot 30 = 90°

∠CDA = 2x = 2\cdot 30 = 60°

∠DAB = 3x = 3\cdot 30 = 90°

Hope this helped!

4 0
3 years ago
Read 2 more answers
Given a+b=7 and a–b=3, find: 2^a·2^b
Semmy [17]

a +b = 7

a-b = 3

Rewrite the second equation as a = 3+b

Replace a in the first equation with that:

3+b + b = 7

Simplify:

3 +2b = 7

Subtract 3 from both sides:

2b = 4

Divide both sides by 2:

b = 4/2 = 2

Now replace b in the first equation with 2 to solve for a:

a + 2 =7

a = 7-2 = 5

so you now have a and b.

Now solve the given equation:

2^a * 2^b

2^5 * 2^2

32*4

128

The answer is 128.

8 0
3 years ago
Other questions:
  • Help please if you know it
    10·1 answer
  • (20 points) I need help urgently. Send Help!!!! (Geometry) m∠DEF if m∠DEH = (9x + 3) ° and m∠HEF = (5x + 11) °
    10·1 answer
  • Mr friedmans baby daughter is 5/9 yard long.mr friedman's height is 4 times this much how tall is mr friedman
    11·1 answer
  • Click and drag like terms onto each other to simplify fully.<br> 2-5+7y-5x+7x-2y
    10·2 answers
  • The area of a square is given as (s³)6.<br><br> What is its perimeter?
    15·1 answer
  • Helppp again plzzzzzzzhsjsjskzkzjdosoa
    12·2 answers
  • What is the prime factorization of 32?
    12·1 answer
  • What is the slope of the following graph?​
    12·2 answers
  • Do the math please. i need it nowwwwww
    5·1 answer
  • Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!