Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.

Answers

Answer 1

This can be represented by the exponential function:

[tex]P=378(2)^\frac{t}{36}[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

[tex]P=378(2)^\frac{t}{36}[/tex]

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Related Questions

What is the slope of the line?

Answers

Answer:

rise is 4 and run is 1 so 4/1 or 4

the answer is b

Hope This Helps!!!

5.
Use the quadratic model y = -4x^2 - 3x + 4 to predict y if x equals 5.

A. -89

B. -111

C. -411

D. -51

Answers

You should try C I’m not sure but try I guess!

Answer:

B. -111

Step-by-step explanation:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -111

...............................................................................................................................................

Please, write -4x^2 (not 04x2).

Then the quadratic model is y = -4x^2 - 3x + 4.

Now substitute 5 for x:  y(5) = -4 (5)^2 - 3(5) + 4

Simplifying,                     y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.

At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?

Answers

Answer:

a

Step-by-step explanation:

Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla?

Answers

Answer:

1/4

Step-by-step explanation:

Solution: as shown in the figure,

2/8 = 1/4

Answer:

3

Step-by-step explanation:

i thing

Help pleaseeeeeeee asapplpl

Answers

Answer:

the graph is incorrect first u correct this

Twice the sum of a certain number and 36 is 90?

Answers

Step-by-step explanation:

Let the number be x

According to the question

2(x+36)=90

2x+72=90

2x=90-72

2x=18

x=18/2

x=9

If f(3) = 24, what is f-1 (24)?

Answers

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

write the value of the underlined digit in words 6,302,450? 3 being the underlined number.

Answers

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

4(x - 4) + 2x -10 and what the answer

Answers

Answer:

Expression: 6x - 26. Equation: 3

Step-by-step explanation:

EXPRESSION

4x - 16 + 2x - 10

6x - 26

EQUATION 1

4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)

4x = 2x + 6

2x = 6

x = 3

EQUATION 2

4x - 16 + 2x = - 10

6x - 16=  -10

6x = 6

x = 1

please view the img above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Please take a look at the picture

Answers

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

B is the answer to this question.

QUICKEST 100 POINTS EVER!

Answers

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² = (5x² + 3x + 2)(5x² + 3x + 2) = 5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 = 25x⁴ + 30x³ + 29x² + 12x + 4

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

Write (-3,-9) and (4,-2) in slope intercept form

Answers

Answer:

Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)

Slope = 1

Y-intercept = -6

Step-by-step explanation:

Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.

To find slope, we will do y2 - y1 over x2 - x1.

This is how coordinates are written btw (x,y)

So we will do:

-2 - (-9) = -2 + 9 = 7

4 - (-3) = 4 + 3 = 7

Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)

Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

We'll use point (4,-2) for this:

y + 2 = 1 (x - 4)

Now we solve:

Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.

Hope this helps :)

Solve. 3(x-6) - 8x = -2 + 5(2x+1)

Answers

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

Somebody help me with these worksheets pls


(Please answer properly)

Answers

This is an interesting problem.

But first, let us define what are the three possible cases :

A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.

Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.

Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7

where a = 1 and b = - 7.

Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.

When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.

Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.

When this is the case, the graphs of the lines in the system cross at exactly one point.

Inconsistent : A system of equation is Inconsistent if it haas no solutions.

When this is the case, the graphs of the lines in the system do not intersect, meaning they are parallel.

Now, with those definitions above, we can work on our problem :

1. x + y = - 7 and x + y = - 4

Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent

2. Same line : consistent dependent

3. Parallel Lines : Inconsistent

4. Lines cross at exactly one point :Consistent Independent

5. Lines cross at exactly one point : Consistent Independent.

You can see the graph of each systems in the pictures attached below.

Good luck, you will succeed :)

Find the value of X that makes lines L and M parallel.

Answers

Answer:

x = 11

Step-by-step explanation:

    If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

[tex]2x+1=23~(Given)\\\\2x+1-1=23-1~(Subract~1~on~both~sides)\\\\2x=22~(Simplify)\\\\\frac{2x}{2}=\frac{22}{2}~(Divide~2~on~both~sides)\\\\x=11~(Simplify)[/tex]

lol mine looks different

increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5

Answers

Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.

what is 282.74 in terms of pi

Answers

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5



C
2/5×1/4



D
2/5÷1/4

Answers

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

A woman wants to get to two destinations, A and B. From home to A there are 5 possible routes. From A to B
there are 5 possible routes. How many possible routes are there from home to B, if all of them go through A first?

Answers

From home to A has 5 routes. Ex: Route A,B,C,D,E.

A to B has 5 routes. Ex: Route F,G,H,I,J

The shorter way is 5x5 = 25

The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...

Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.

Answers

Answer:

17.8 miles

Step-by-step explanation:

His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.

Since it asks for the distance he reduced to the office, we would do

21.45 - 3.65 = 17.8 miles

Which is the initial value of the function represented by this graph?



1
5
6
7

Answers

Which is the initial value of the function represented by this graph?

1

5

6

7

answer : 1

simplify √6+3√6 please and thank you

Answers

Answer:

4√6

Step-by-step explanation:

√6 is a common factor on either side of the plus sign.

Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.

√6(1 + 3)            Combine the like terms in the brackets.

√6(4)   or

4√6

Answer:

Exact Form: 4√6

Decimal Form: 9.79795897...

Step-by-step explanation:

Please vote brainliest!

whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!

evaluate: (5/6 + 2/3) - (3/4 + 1/12)

answer as a fraction in simplest form

Answers

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer

Therefore, Evaluated form is 2/3.

Read more:

Similar questions

Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...

https://brainly.com/question/2283953?referrer

Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21

Answers

Answer:

SSS

Step-by-step explanation:

The triangles are similar according to SSS rule (side lengths)

You can check it by writing the following equation:

6/9 = 16/24 simplify both sides

2/3 = 2/3

Add and simplify.
[tex]\frac{7}{27}\\\frac{1}{6}[/tex]

Answers

7
27
+
1
6
=
7
27
+
1
6
=
14
54
+
9
54
=
14
+
9
54
=
23
54

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

7/27 + 1/6 = 23/54

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.

7/27 • 2 = 14/54

1/6 • 9 = 9/54.

14+9=23 so the answer is 23/54 because it cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

HELP PLEASE I WILL MARK BRAINIEST WHEN ABLE TO

An expression is shown below:

the square root of 18 plus the square root of 2

Which statement is true about the expression?

It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 3 times the square root of 2.
It is irrational and equal to 3 times the square root of 2.

Answers

Answer: It is irrational and equal to 3 times the square root of 2.

Answer:

It is irrational and equal to 3 times the square root of 2.

Step-by-step explanation:

just like the other guy said

Select the correct answer. Given the domain {-4,0,5), what is the range for the relation 12x + 6y= 247 OA (-12, 4, 6) ОВ. 12,4,9) Oc. 12, 4, 6) OD. 44, 4, 14) I'll give brainliest!​

Answers

The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ 12x + 6y = 247

Now,

We have;

The domain is, {-4,0,5)

Hence, The range of the function is find as;

Put x = - 4;

⇒ 12x + 6y = 247

⇒ 12 × - 4 + 6y = 247

⇒ - 48 + 6y = 247

⇒ 6y = 247 + 48

⇒ 6y = 295

⇒ y = 49.17

Put x = 0;

⇒ 12x + 6y = 247

⇒ 0 + 6y = 247

⇒ 6y = 247

⇒ y = 41.17

Put x = 5;

⇒ 12x + 6y = 247

⇒ 60 + 6y = 247

⇒ 6y = 247 - 60

⇒ 6y = 187

⇒ y = 31.17

Thus, The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

If GH is an altitude, what would mZGHF have to be?

Answers

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

Do You KNOW HOW?
Describe the type of association between x and
y for each set of data.
Please help☹️

Answers

Answer:

The type of association between x and y are inversely proportional  

Step-by-step explanation:

Solution:

Here the x value increase, the y value decrease which implies that x is inversely proportional to y

I hope this helps.

Previous Answer is Correct
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