Write an equation for the following scenario.

A colony of 36,000 bacteria grows continuously at a rate of 12%.

Answers

Answer 1

9514 1404 393

Answer:

  b(t) = 36000·e^(0.12t)

Step-by-step explanation:

Continuous growth at a rate of r per time period is modeled by the exponential multiplier e^(rt), where t is the number of time periods. This value multiplies the initial amount (at t=0). In this case, the model would be ...

  b(t) = 36000·e^(0.12t)

where b(t) is the number of bacteria in the colony after t time periods.


Related Questions

Tammy bought 20 pounds of flour for $11.
How many pounds of flour did she get per dollar?

Answers

Answer:

1.82 pounds per dollar

Step-by-step explanation:

20/11= 1.82

Answer:

about 2 pounds

Step-by-step explanation:

11 dollars = 20 pounds

1 dollar   =    x

You need to divide 20/11

20/11= 1.82

about 2 pounds

Find the length of the third side of each triangle.
HELP PLEASE

Answers

Answer:

96 because it's the same length but just slanted

How do i know this answer to this question ?? Joe has a total of 94 stamps in his stamp collection. He collected 27 in April and 34 in May. How many did he collect in June?

Answers

Answer:

Stamp collected in June = 33

Step-by-step explanation:

Total stamp = 94

Stamp collected in April = 27

Stamp collected in May = 34

Stamp collected in June = x

Total stamp = April stamp + May stamp + June stamp

94 = 27 + 34 + x

94 = 61 + x

x = 94 - 61

x = 33

Stamp collected in June = 33

hii please help i’ll give brainliest!!

Answers

Answer:

direction

Step-by-step explanation:

Will give brainiest for correct answer, but i am really behind in work right now

Answers

Answer:

here the ans

hope it is helpful to u.. mrk it as brainliest if is helps u

Answer:

so you can mark the other guy brainliest, he deserves it :)

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?

Answers

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

Which value of x makes the equation 1.75(5x − 10) = 10.5 true?

A. -3.2
B. 0.5
C. -0.5
D. 3.2

Algebra

Answers

Answer:

Answer is D) 3.2

Have a nice day!

The graph of the quadratic parent function f was transformed to create the graph of g(x)=f(x-3)-4 . Which graph best represents g?

Answers

Answer:

C

Step-by-step explanation:

gj

Please help
Find the area of a rhombus

Answers

Answer:30in^2

Step-by-step explanation:

Answer:

formila

Step-by-step explanation:

d2= lenght of diagonal 2, b= lenght of any side. h= height of rhombus.

You roll two six-sided fair nukber cubes.Whatbis the probability that you will roll snake eyes(both ones)?

Answers

Answer:

1/36

Step-by-step explanation:

Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be [tex](\frac{1}{6} )(\frac{1}{6})[/tex]=[tex]\frac{1}{36}[/tex]

Find the slope of the line that passes through each pair of points.
A(-6,1) B(2,1)

Answers

Answer:

Slope = undefined

Step-by-step explanation:

Use the formula:

m = y2 - y1 / x2 - x1

Plug in the given information

m = 1 - 1 / 2 - - 6

Negative + Negative = Positive

m = 1 - 1 / 2 + 6

m = 0 / 8

m = 0/8

m = undefined

If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF

Answers

Answer:

A

Step-by-step explanation:

i think its a because its saying which one does not allow you to conclude that both triangles are congruent but the other ones are talking the sides and a is the only one thats talking about the angles. so i dont really know if its right but thats just an educated guess.

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Jordan ran 15LaTeX: \frac{3}{8}3 8 miles, while Ethan ran 12 LaTeX: \frac{1}{6}1 6 miles. How many miles did the boys run altogether?

Answers

Answer:

27 13/24 miles

Step-by-step explanation:

Given that:

Jordan = 15 3/8 miles

Ethan = 12 1/6 miles

Miles ran altogether :

15 3/8 + 12 1/6

123/8 + 73/6

(369 + 292) / 24

= 661 / 24

= 27 13/24

A researcher has conducted a survey using a simple random sample of 50 licensed drivers to create a confidence interval to estimate the proportion of licensed drivers favoring the construction of a new stoplight. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 200 people instead of 50 licensed drivers. Which of the following statements best describes how the confidence interval is affected by this change?

The width of the new interval is about the same width as the original interval.
The width of the new interval is about twice the width of the original interval.
The width of the new interval is about one half the width of the original interval.
The width of the new interval is about one fourth the width of the original interval.
The width of the new interval is about four times the width of the original interval.

Answers

Answer: the answer is C.

Step-by-step explanation:

Answer:

Might be C?

Step-by-step explanation:

I got D. wrong (The width of the new interval is about one fourth the width of the original interval.)

Write a similarity statement for the triangles.
In Triangle CDE, C=60°, and D=53°. In Triangle FGH, F=60°, and H=67°

Answers

Answer:

The triangles are similar by Angle-Angle-Angle similarity

both triangles vertexes are 60°, 53°, and 67°

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔCDE ,

∠C + ∠D + ∠E = 180    {angle sum property of triangle}

60 + 53 + ∠E = 180

       113 + ∠E = 180

               ∠E = 180 - 113

             ∠E =  67

ΔFGH ,

∠F + ∠H + ∠G = 180    {angle sum property of triangle}

60 +  67  + ∠G = 180

      127 + ∠G = 180

               ∠G = 180 - 127

             ∠G =  53

∠C = ∠F

∠E = ∠H

∠D = ∠G

ΔCDE ~ ΔFGH   ------ AA similarity

(2-3)(x-3X2)
Which is the simplified form of the expression
(4-2)(x4) )
?
4x2y 16
4
2..16
X
4
1
14
4
14,8

Answers

Answer:

9x³-9x²+2x

Step-by-step explanation:

Let the expression be given as

(2-3x)(x-3x²)

Expand

= 2(x)-2(3x²)-3x(x)-3x(-3x²)

= 2x - 6x² -3x²+9x³

Rearrange

= 9x³-6x²-3x²+2x

= 9x³-9x²+2x

Hence the simplified form of the expression is 9x³-9x²+2x

Is 1/4, 1/5, 1/6, or 1/8 closer to 1

Answers

Answer:

1/8

Step-by-step explanation:

ingna ko kung wrong

nakasabot ka

Which choice is equivalent to the product below for acceptable values of X?
sqrt(x+2)*sqrt(x-2)

Answers

Answer:

√x^2-4

Step-by-step explanation:

Given the expression

√(x+2) * √(x-2)

= √(x+2)(x-2)

Expand

= √x(x)-2x+2x-2(2)

= √x^2-4

Hence the product of the expression will give √x^2-4

For x to be acceptable x^2 - 4 = 0

x^2 = 4

x = ±√4

x = ±2

Acceptable value of x are values that are greater than or equal to ±2

Answer:

√x^2-4

its also in this imagine below

6 – [ - 2( - 3 – 5)] =

Answers

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

Domain and range for this f(x)x2-4+5

Answers

domain all real number and range is 1

Could you please help me out.

Answers

Answer:

B

Step-by-step explanation:

dababy

Find the volume of each prism. Round to the nearest tenth if necessary

Answers

Answer:

Example 1:

V=L*B*H

v=4m*6m*8m

v=192 m

Answer:

Volume = 192

Step-by-step explanation:

If y = 5x, then y is directly proportional to ______
Help me please my teacher rlly annoying

Answers

y = 5x, so 5 is the constant of proportionality

In the given linear equation, y is directly proportional to x.

What is a linear equation?

A linear equation is an equation that has the highest power of the variable of 1.

Given linear equation is:

y = 5x

Here, '5' is a constant term.

Therefore, y is directly proportional to x.

Learn more about linear equation here: https://brainly.com/question/27726739

#SPJ3

Drag the symbol to complete the solution to this inequality.

Answers

the answer is going to be <

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=73°, and FD = 27 feet. Find the length of EF to the nearest tenth of afoot.

Answers

Answer: 83.3

Explanation: tan 73= x/ 27

27 tan 73=x

x=88.313 = 88.3 feet

how many triangles can you make with angles that measure 47, 60, and 73 degrees?

Answers

Answer:

1triangle

Step-by-step explanation:

47+60+73=180degree

so the 1triangle have 180 degree

What is the area of the smallest scalene triangle whose side lengths are prime numbers?

Answers

Answer:

area = 10.28 units²

Step-by-step explanation:

Smallest prime numbers I can think of is 2, 3 & 5 but that will not make a triangle.

3, 5, & 7 will

area = 1/2(7)(2.9375) = 10.28 units²

sryyyyyyyyyyyyyyyyyyyyy

Help, I wanna pass this iready lesson or im going to get yelled at.

Answers

Answer:

1/10 is the correct answer

Step-by-step explanation:

3/5=6/10

7/10-6/10=1/10

Answer:

1/10 hour

Step-by-step explanation:

7/10  

convert 3/5 to 6/10 for same denominator

7/10 - 6/10 = 1/10

Ab and cd intersects at e, aec=5x+12 and deb=8x-3

Answers

Answer:

x = 5

Step-by-step explanation:

Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.

8x - 3 = 5x + 12

3x = 15

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