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
vivado [14]
4 years ago
12

The bacteria in a container quadruples every day. if there are initially 100 bacteria, write an equation that models the number

of bacteria a after d days. how many bacteria will there be after 1 week?
Mathematics
2 answers:
posledela4 years ago
8 0

Answer:

a = 100 * 4^{d}

In a 1 week there would be 1,638,400 bacteria

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Since the amount of bacteria are quadrupling every day this means that the bacteria are <u>compounding</u>, meaning that every time they quadruple the next day the <u>new amount</u> is quadrupled. Thus growing <u><em>exponentially</em></u> every time.

So to solve this we would need to create an exponential equation that calculates the amount of bacteria after a certain amount of days, like so...

a = 100 * 4^{d}

If we want to calculate the number of bacteria after 1 week , we would substitute d for 7 and solve for a.

a = 100 * 4^{7}

a = 100 * 16,384

a = 1,638,400

In a 1 week there would be 1,638,400 bacteria

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Fudgin [204]4 years ago
4 0
4a =d
16a = 2d
.......
16,384a = 7d
You might be interested in
Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y
masya89 [10]

The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

5 0
2 years ago
PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
vitfil [10]

Answer:

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

Start on the left side.

1

+

sec

2

(

x

)

sin

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

+

1

cos

2

(

x

)

sin

2

(

x

)

Write  

sin

2

(

x

)

as a fraction with denominator  

1

.

1

+

1

cos

2

(

x

)

⋅

sin

2

(

x

)

1

Combine.

1

+

1

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

sin

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

cos

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

Apply Pythagorean identity in reverse.

1

+

1

−

cos

2

(

x

)

cos

2

(

x

)

Simplify.

Tap for more steps...

1

cos

2

(

x

)

Now consider the right side of the equation.

sec

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

2

cos

2

(

x

)

One to any power is one.

1

cos

2

(

x

)

Because the two sides have been shown to be equivalent, the equation is an identity.

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

is an identity

Step-by-step explanation:

7 0
3 years ago
I NEED HELP ASAP!! WILL GET 15 POINTS FOR THE CORRECT ANSWER!!!
Elanso [62]
All real numbers such that y is greater than 3/17 or y>3/17. Hope this helps!!!!

7 0
4 years ago
A spinner and 4 cards are shown below:
yan [13]

Answer: 1 over 20

Step-by-step explanation: If the spinner has 5 parts to it at purple is one of those parts then the spinner has a 1/5 chance of it landing there.

If there are 4 cards and 1 of them are pink then there is a 1/4 chance of picking pink(if done randomly)

So if we mutiply 1/4 and 1/5, we get 1/20

That is how I arrived at my answer of 1 over 20

8 0
3 years ago
Read 2 more answers
Use the Distributive Property<br><br> 1/2 (2n+6m)
Alik [6]

Answer:

n + 3m

Step-by-step explanation:

It will become 1/2 * 2n + 1/2 * 6m = n + 3n

4 0
3 years ago
Other questions:
  • Please help me! thanks :)
    10·2 answers
  • What does 1/8 plus 5/9 equal
    15·2 answers
  • If the sin 90° is 1, then the cos ____ °= _____.
    6·2 answers
  • What is the relationship between fractions and decimals?
    6·1 answer
  • What is the cube root of 512
    10·2 answers
  • Use the three conditions to show that function f(x)=2x^2 +3x - 1 is continuous at x=0.​
    8·1 answer
  • F(x) = 2x-9<br> (a) Find f<br><br> Would realllyy appreciate if you guys help me with this one :)
    10·1 answer
  • If someone is good at trigonometry, I will literally cash app you money to help me with answers on my quiz!!!
    9·1 answer
  • I need help please as soon as possible thanks
    11·2 answers
  • Betty saves $161 a month. She saves $141 less each month than Jack. How much will Jack save in 2 years?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!