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
Free_Kalibri [48]
3 years ago
12

The bacteria in a culture double every day. Which function can be used to find the number of bacteria n after d days if there ar

e initially 75 bacteria?
On=2(75)
O n = 75(g)
On = 75(2)
On= (75)"

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

n = 75(2)^d

Step-by-step explanation:

Mathematically, we have the general form of an exponential equation as follows;

y = I(1 + r)^x

where I is the initial value

r is the rate percentage

x is the number of time

From the question, the bacteria population doubles

This mean it increases by 100%

100% = 1

add this to the initial 1, and we have 2

Replace I with the number 75

And d represents the days

so we have;

n = 75(2)^d

You might be interested in
There are 250 bricks used to build a wall 20 feet high.How many bricks will be used to buld a wall that is 30 fet high
Dmitry_Shevchenko [17]

Answer: 375

Step-by-step explanation:

Since we are given the information that there are 250 bricks used to build a wall 20 feet high, the number of brick used per feet will be:

= 250/20

= 12.5 bricks per feet.

Therefore, the number of bricks that will be used to buld a wall that is 30 fet high will be:

= 12.5 × 30

= 375 bricks.

Therefore, 375 bricks would be used.

3 0
3 years ago
Nu is designing a rectangular sandbox.The bottomm is 16 square feet.Which dimensions require the least amount of materail for th
zzz [600]

Given Information:  

Area of rectangle = 16 square feet

Required Information:  

Least amount of material = ?

Answer:

x = 4 ft and y = 4 ft

Step-by-step explanation:

We know that a rectangle has area = xy and perimeter = 2x + 2y

We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.

So we have

xy = 16  

y = 16/x

p = 2x + 2y

put the value of y into the equation of perimeter

p = 2x + 2(16/x)

p = 2x + 32/x

Take derivative with respect to x

d/dt (2x + 32/x)

2 - 32/x²

set the derivative equal to zero to minimize the perimeter

2 - 32/x² = 0

32/x² = 2

x² = 32/2

x² = 16

x = \sqrt{16} = 4 ft

put the value of x into equation xy = 16

(4)y = 16

y = 16/4

y = 4 ft

So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.

Verification:

xy = 16

4*4 = 16

16 = 16 (satisfied)

7 0
3 years ago
What is 160 ÷ 55 in the numerous fraction?​
Reil [10]
160/55.
Simplified version is 32/11
5 0
4 years ago
The kinetic energy k of an object in joules is given by the formula k = 1 mv2, where m is the object's mass in kilograms and v i
RideAnS [48]

Answer:

108,000 joules

Step-by-step explanation:

Kinetic energy, k = 1/2 mv^2

Where,

m = mass of the object in kilogram

v = velocity in meters per seconds

If

Velocity of an object = 20 meters per seconds

Kinetic energy = 48,000 joules

Solve for m

k = 1/2 mv^2

48,000 = 1/2 × m × 20^2

48,000 = 1/2 × m × 400

48,000 = 200m

m = 48,000 / 200

m = 240 kg

If it speeds up to 30 meters per second, then what is its new kinetic energy?

k = 1/2 mv^2

Using m = 240 kg

k = 1/2 mv^2

= 1/2 × 240 × 30^2

= 1/2 × 240 × 900

= 216,000 / 2

= 108,000 joules

The new kinetic energy = 108,000 joules

6 0
3 years ago
Read 2 more answers
Aimee started a business making picture frames. On the first day that she was in business, she made 3 picture frames. She then i
hichkok12 [17]

Answer:

i think its c

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Find the number that makes the ratio equivalent to 1:8.<br> 5:
    15·2 answers
  • In the triangle below, what is the side opposite the 30 degree angle
    9·1 answer
  • What is the value of n in the equation –1/2(2n + 4) + 6 = –9 + 4(2n + 1)?
    9·1 answer
  • Determine the slope of the line passing through the given points (1,2) and (2,-1)
    8·2 answers
  • What is 3 3/8 +3 1/2 using common denominator
    8·2 answers
  • Determine cos 37 ° to five decimal places.
    7·2 answers
  • Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
    14·1 answer
  • Order the numbers from least to greatest 4/8, 0.05, 51% ( please help )
    12·2 answers
  • Convert 3 m 40 cm to metre​
    12·1 answer
  • -please help im so dum dum and id like therapy &lt; &lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;33333333 TYY
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!