The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).

Answers

Answer 1

Step-by-step explanation:

A(t)=P(e^(rt))

Insert the values as follows:

The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).

34820=P(e^((.78)(5)))

34830=P(49.4024)

704.82335

Hope that helps :)


Related Questions

Jaime has 50 rock songs, 35 dance songs and 15 rap songs on his play list. If his music player randomly selects a song, what is the probability that it is a rock song?

Answers

The probability would be 50%. The way to find this answer is to add up the total number of songs then divide 50(the total of rock songs) by the sum of the numbers which is 100, and 50/100 is equal to 0.50 and if you multiple by 100 that will give u the percentage(or just look at the first 2 decimal places)

Carissa folds 32 TShirts in 8 minutes. How many TShirts can she fold in 20 minutes?

Answers

Answer:

5

Step-by-step explanation:

Answer:

80 TShirts in 20 minutes

Step-by-step explanation:

32/8 = 4 Tshirts in a minute

4 x 20 = 80 TShirts in 20 minutes

Evaluate the algebraic expression for the given value(s) of the variable(s).

2x 2 - 7xy + 3y 2 ; x = -3, y = 4

Answers

Answer:

-18

Step-by-step explanation:

2x²-7xy+3y²

2(3²)-7(3)(4)+3(4²)

2(9)-84+3(16)

18-84+48

18+48-84

-18


What is the value of x in trapezoid ABCD?

Answers

Answer:

15

Step-by-step explanation:

please help me i’ll give brainliest

Answers

Answer:

105 degrees

Step-by-step explanation:

You need to understand the properties of corresponding angles and supplementary angles.

Please help I’m really need the help (NO LINKS ) (NO LYING )

Answers

Answer:

for this you should use photomath all you do is take a picture of each problem and put the answer down

Answer:

1 = 22.4

2 = 19

3 = 22.6

4 = 18.75

5 = 23.6

6 = 20.85

7 = 29.75

8 = approximately 21.85

9 = i can't read the bottom number sorry

* all of this is squared inches too

Please help I’ll give brainliest! Due today. I need Sin Z, Tan z, and Cos Z

Answers

Sinx = 4/5, cosx = 3/5 and tanx = 4/3

Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line

Answers

He crossed the finish line at 12:49 p.m.

Ed's dog Zoe ate almost 18% of the 4 dozen cookies he baked.
Which is the best estimate of the number of cookies Zoe ate?

Answers

Answer:

.72 or 1

Step-by-step explanation:

it is .72 in decimals but if you wanna round up to a whole number it's 1

Find the sum of 3/4 and 5/10 pls

Answers

Answer:

Is it 1.25

I hope the helps!

Answer:

5/4 or decimal- 1.25

Step-by-step explanation:

3/4+5/10

=3/4+5/10

=3/4+1/2

=3/4+2/4

=3+2/4

=5/4

p=. RS. 200, R= 6%per six months. T= 3years​

Answers

Answer:

36

Step-by-step explanation:

200×3×6/100 =36.is the ans

solve for x leave answer in simplest radical form.

Answers

Answer:

4sqrt(15)

Step-by-step explanation:

a² + b² = c²

x² + 7² = 17²

x² + 49 = 289

x² = 240

[tex]\sqrt{x^2} =\sqrt{240}[/tex]

[tex]x=4\sqrt{15}[/tex]

Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Answers

Answer:

The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.

Step-by-step explanation:

Choosing two people at random, there are such possibilities:

1. both are dog owners;

2. first owns a dog, second not;

3. first hasn't dog, second owns a dog;

4. both haven't dogs.

Answer: if you pick two people at random the probability that they both own a dog is 0.3136.

Hope this helps! :))

The Probability that they both own a dog is 0.3025.

Here,

55% of people own dogs.

If pick two people at random,

Then we have to find the probability that they both own a dog.

What is Probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Now,

55% of people own dogs.

Hence, the probability that they both own a dog = 55% * 55%

                                                                          = 0.55 * 0.55

                                                                          = 0.3025

So, The probability that they both own a dog is 0.3025.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ2

Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)

Answers

Answer:

Cos 74°= Sin 16°

Sin 20°= Cos 70°

Sin A°=Cos (90°- A°)

Step-by-step explanation:

This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Cd equals the square root of 3

Answer: 2 square root 3

Step-by-step explanation:

other user's answer

Geometry please help!!!!!

Answers

I going with A hope that helps

PLSSS ANSWER JUST PUT THE NUMBER OF THE QUESTION THEN THE ANSWER PLS HELP ITS OVERDUE AND IM GONNA FAIL 7TH GRADE :(
I WILL GIVE BRAINLIEST EVERYONE KEEPS GIVING ME RANDOM LINKS IM CRYIING :( I WOULD BE SO GRATEFUL IF U HELPED UR A LIFE SAVER

Answers

Answer:

11=  21

12= -12

13= -72

14= -1

Step-by-step explanation:

Answer:

11) 21

12) -5

13) 8

14) 9

Step-by-step explanation:

i passed 7th grade (teehee)

A single line of four cats one behind the other walks towards and head-on into a single line of five cats walking in the opposite direction. When two of the nine cats meet, they both switch directions and then continue walking. How many meetings take place?

Answers

Answer:LLLLLLLLLLLLLL

Step-by-step explanation:

LLLLLLLLLl

Answer:

4

Step-by-step explanation:

There are just 4

Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.

A rectangular prism with a length of 2, width of 2, and height of 6.

A rectangular prism with a length of 5, width of 3, and height of 2.

A rectangular prism with a length of 6, width of 2, and height of 4.

Answers

Answer:

B

Step-by-step explanation:

i took the quiz have a nice day :)

Answer:

The correct answer is B

Step-by-step explanation:

2*2=4     2*6=12    2*6=12     4+12+12 = 28     28*2=56

help me please i dont know what to do

Answers

Answer:

x = 14.4

Step-by-step explanation:

First of all, the triangle has three sides, so let's use hero's formula to find the area.

A = √[p(p - a)(p - b)(p - c)]

Where;

a, b and c are the 3 given sides of the triangle and;

p = (a + b + c)/2

p = (18 + 30 + 24)/2

p = 72/2

p = 36

Thus;

A = √(36(36 - 18)(36 - 30)(36 - 24))

A = √46656

A = 216 Sq.units

Now, we also know from general formula of a triangle that;

A = ½bh

Where;

b is base and h is height

In the given image;

b = 30

h = x

Thus;

½ × 30 × x = 216

Rearranging, we have;

x = 216 × 2/30

x = 14.4

An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8

What is the solution to the system?

a: (-19/2, -5)
b: (-5, -19/2)
c: (-15/2, -11/3)
d: -19/10, 1/15)

Answers

Answer:

(-19/2, -5)

Step-by-step explanation:

Given the two equivalent equations

4x – 9y = 7 .... 1

–4x + 6y = 8 ....2

Adding both equations

-9y + 6y = 7+8

-3y = 15

y = -15/3

y = -5

Substitute y = -5 into 1

From 1; 4x - 9y = 7

4x - 9(-5) = 7

4x + 45 = 7

4x = 7 - 45

4x = -38

x = -38/4

x = -19/2

Hence the solution is (-19/2, -5)

4z + 8 - 6=

7z ÷ 4 + 5x=

y² ÷ (3z) =
I NEED HELP :(​

Answers

Answer:

1: 14z+2

2: 7z/4 + 5x

3: y²/3z

help me .................

Answers

Answer:

The answer is 6 and 1/12 yards :]

11 divided by 3 2/3 with step by step explination

Answers

Answer:

3

Step-by-step explanation:

11/1 divided by 11/3

keep change flip to get:

11/1 x 3/11

and multiply to get:

33/11

Simplify to get:

3/1 or 3

Answer:

3

Step-by-step explanation:

step one is to make the fraction into a unbalanced fraction

step two is to make it a proper fraction by switching the values (I am talking about 2 2/3s so you know)

Then remove the greatest common factor, so 11, and only three remains


Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1).

Answers

PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction. That tells you the order you solve problems.

You start by working each part of the problem in parentheses. You multiply before adding/subtracting.

I’ve attached a picture. Please ask any questions.
Thanks for answering!!!!!

In 2010, the population of a city was 25,000. The
population increased by 20% in each of the next three
years. If this rate of increase continues, what will be the
population of the city in 2015?

Answers

Answer:

43,200

Step-by-step explanation:

25,000x .20=5,000

30,000 x .20=6,000

36,000x.20=7,200

43,200x.20=8,640

51,840x.20=10,368

help i don’t understand this

Answers

Answer:

31.4 in

Step-by-step explanation:

Count the 4 mm lines and add it to 31 ins. So you end up with 31.4 in

Find the value of each variable. Line l is a tangent

Answers

Answer:

Step-by-step explanation:

A tangent to a circle is perpendicular to the diameter of that circle ⇒ c° = 90°

a° = 40°

b° = 140°

(-8, -1); slope = - 3/4
Pleaseee this onee!!​

Answers

Answer:

y = -3/4x - 7

Step-by-step explanation:

Slope intercept:

y - y1 = m(x - x1)

y + 1 = -3/4(x + 8)

y + 1 = -3/4x - 6

y = -3/4x - 7

A study was performed to investigate whether teens and adults had different habits when it comes to consuming meat-free meals. In particular, the researchers were interested in the relationship between p1, the proportion of teens who would report eating at least one meat-free meal in the past week, and p2, the proportion of adults who would report eating at least one meat-free meal in the past week. A random sample of 875 teens and a separate random sample of 2,323 adults found that 555 of the teens and 1,601 of the adults reported eating at least one meat-free meal in the past week. The conditions for inference were checked and verified. What is the correct set of hypotheses the researchers should test in this scenario

Answers

Answer:

H₀ should be rejected at CI 95% .

Then the proportion of adults with 95 % CI is bigger than the proportion of teen

Step-by-step explanation:

From adult sample:

n₂ = 2323

x₂ = 1601

p₂ = 1601 / 2323         p₂  = 0,689       or    p₂ = 68,9%

From teen sample:

n₁ = 875

x₁ = 555

p₁ = 555/ 875           p₁  = 0,634          or    p₁  = 63,4

Values of p₁  and  p₂   suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.

To either prove or reject the above statement we have to develop a difference of proportion test according to:

Hypothesis test:

Null Hypothesis                   H₀             p₁  =  p₂

Alternative Hypothesis       Hₐ             p₂  > p₁

So is a one-tail test to the right

We can establish a confidence interval of 95 % then  α = 5 %

or    α = 0,05

As the samples are big enough we will develop a z test

Then  z(c)  for α = 0,05   from z table is     z(c) = 1,64

To calculate z(s)

z(s) = ( p₂  -  p₁ ) / √p*q* ( 1/n₁  + 1/n₂ )

where p = ( x₁ + x₂ ) / n₁ + n₂       p = 555 + 1601 / 875 + 2323

p = 2156/3198       p = 0,674

and   q = 1 - 0,674        q = 0,326

z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323

z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)

z(s) = 0,055/ √0,2197* 0,00157

z(s) = 0,055/ √ 3,45*10⁻⁴

z(s) = 0,055 / 1,85*10⁻²

z(s) = 5,5/1,85

z(s) = 2,97

Comparing  z(s) and z(c)     z(s) > z(c)

Then z(s) is in the rejection region we reject H₀.

We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen

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