Researchers recorded that a certain bacteria population declined from 170,000 to 200 in 42 hours. At this rate of decay, how many bacteria was there at 24 hours? Round to the nearest whole number.

Answers

Answer 1

Answer:

3600 bacterias

Step-by-step explanation:

From P = P'e^(-kt), where

P = final population

P' = initial population

k = decay constant

t = time in hrs

Substituting we have

200 = 170000 x e^(-42k)

1/850 = e^(-42k)

We take natural log (Ln) of both side

Ln (1/850) = Ln (e^(-42k))

-6.745 = -42k

k = 0.16059.

For amount remaining after 24 hrs we find P

P = 170000 x e^(-0.16059x24)

P = 170000 x e^-3.85416

P = 170000 x 0.02119 = 3602.3

Approximately 3600 bacterias.


Related Questions

Describe an event that involves dice and has a theoretical probability of 5\6.


Please Help! :)

Answers

Answer:-

Step-by-step explanation:

1-5 marbles are blue you assign them a number and there is 1 red one and he is assign #6

The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3
centimeters.
What is the volume, in cubic centimeters, of this rectangular prism?

Answers

Answer:

36

Step-by-step explanation:

12x3=36

Lxwxh

Axh

Answer:

18,6,108

Step-by-step explanation:

edge2020

Mario está aprendiendo a manejar un auto. El lunes 6 de abril ,el práctico 2 horas y cada día siguiente práctico 30 minutos más que el día anterior. ¿Cual fue la fecha del día que práctico 5 horas?

Answers

Answer:

Domingo 12 de abril

Step-by-step explanatio

El primer dia Lunes fueron 2 horas Martes fueron 30 munitos mas, ya son 2:30  Miercoles fueron otros 30 minutos mas, son 3 horas. Jueves y Vierns es una hora mas, porque cada dia es 30 minutos. que ya son 4 horas. y el sabado son 30 mas, y el domingo el practica 5 horas

PLEASE HELP

For a hypothesis test of H0: p = 0.35 against the alternative Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?


A. The finding is significant at α = 0.05, but not at α = 0.01.


B. The finding is significant at α = 0.01, but not at α = 0.05.


C. The finding is significant at both α = 0.05 and α = 0.01.


D. The finding is not significant at α = 0.05 and α = 0.01.

Answers

Answer:

C

Step-by-step explanation:

Is is a one-tailed test

P(z < 2.45) = 0.9929

1 - 0.9929 = 0.0071

Significant at both 0.05 and 0.01 because both are greater than 0.0071

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

identify the justification for each step

Answers

Answer:

1. Given

2. Addition property of inequality

3. Division property of inequality

4. Square root property

Step-by-step explanation:

The first equation is always going to be the given since it hasn't been solved yet, on the next step you had to get rid of the 1 so you had to add 1 to both sides, this is called addition property of inequality, then to isolate the x you had to divide both sides by 4, this is called division property of inequality and lastly you had to do the opposite of squaring a number, which is taking the square root. Hope this helped.

The perimeter of a rectangular garden is 48.8 feet it’s length is 12.4 what is it’s width

Answers

Answer:

12 feet

Step-by-step explanation:

Perimeter=l+l+w+w

48.8=12.4+12.4+2w

48.8=24.8+2w

2w=24, w=12 feet

How many times larger is the volume of a cone if the radius is multiplied by 6?

Answers

Answer:

36 times larger.

Step-by-step explanation:

V= [tex]\pi *r^{2}*\frac{h}{3}[/tex] is the original volume of a cone formula.

If the radius is multiplied by 6 the new formula is:

V= [tex]\pi *(6x)^{2} * \frac{4}{3}[/tex]

Which is simplified to:

V= [tex]\pi *36r^2*\frac{h}{3}[/tex]

The only difference between the simplified formula and the original is the *36 so the new volume is 36 times larger when the radius is multiplied by 6.

Solve the following inequality for hh. Write your answer in simplest form.
h-8>4h+5

Answers

Answer:

h<-13/3

Steps:

Move variable to the left side and change its sign

h-4h-8>5

Move constant to right and change its sign

h-4h>5+8

Collect like terms

-3h>5+8

Add the numbers

-3h>13

Divide both sides of the inequality by -3 and flip the inequality sign

h<-13/3

Which shows a correct way to determine the volume of the right rectangular prism?
71cm
8cm
9+1+8 = 18 cm
219 + 1 + 8) = 36 cm
9(3) + 1 = 28 cm
98)(1) = 72 cm​

Answers

9(8)(1) = 72cm^3 (The last option)

Correct answers only!

To the nearest cent, how much interest will he earn in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: $8.40

Step-by-step explanation:

The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.

First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.

B=40(1+r)^t

R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.

B=40(1+0.10)^t

T is time: 2 years

B=40(1+0.10)^2

Now that we have the equation filled out, we plug this into a calculator.

48.4=40(1+0.10)^2

We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.

48.4-40=8.4

make x the subject of the formula 2h-4=ut+xt​

Answers

Answer:

x = [tex]\frac{2h-4-ut}{t}[/tex]

Step-by-step explanation:

Given

2h - 4 = ut + xt ( isolate the term in x by subtracting ut from both sides )

2h - 4 - ut = xt ( divide both sides by t )

[tex]\frac{2h-4-ut}{t}[/tex] = x

Solve using substitution please help!!!

Answers

I hope this helps you

Answer:

The solution of the system is: A

Step-by-step explanation:

[tex]\left \{ {{12x-9y=30} \atop {6x+15y=54}} \right. \\\left \{ {{x=\frac{30+9y}{12} } \atop {6x+15y=54}} \right. \\\left\{ {{x=\frac{30+9y}{12}} \atop {6*\frac{30+9y}{12}+15y=54}} \right. \left \{ {{x=\frac{30+9y}{12}} \atop {15+\frac{9}{2}y+15y=54 }} \right. \\\left \{ {{x=\frac{30+9y }{12}} \atop {y(\frac{9}{2}+15) )= 39}} \right. \\\left \{ {{x=4} \atop {y=2}} \right.[/tex]

Can you please help with think im pointing on please is so hard i will give you a Brainiest

Answers

Answer:

40

Step-by-step explanation:

You need to take 30%of 40 to figure it out.

Hope this helps.

Sam has 3 cards and he buys a more. Write an expression for the number of cards Sam has.

Answers

Answer:

T=(3)+A

Step-by-step explanation:

A is how many more

t is total

3 is how many cards he owns

hope this helped

25POINTS!!!

In ΔFGH, h = 7.1 cm, f = 6.7 cm and ∠G=103°. Find the length of g, to the nearest 10th of a centimeter.

Answers

Answer:

10.8 cm

Step-by-step explanation:

Using cosine law

g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)

g² = 116.7018433

g = 10.80286274

Answer:

10.8

Step-by-step explanation:

deltamath

The diameter of a circle measures 30mm. What is the circumference of the circle. Use 3.14 for pie

Answers

47.1 is the answer
30 divide 2 is 15
15 x 3.14

Anoop decides to measure the rate at which the temperature changes as the altitude increases.

What would be an appropriate unit for Anoop's purpose?

Answers

Answer:

Metre

Step-by-step explanation:

Answer:

Degree sign C/ km

Hope this helps and if it does remember to give me a like , please and thank you!

Find the value of x in the triangle shown below.
56°

Answers

Ion what the triangle looks like but if it’s a right angle it would be 90-56= 34and if it’s a obtuse angle then it would be 180-56= 124

what is m if 9/7m= 1/7

Answers

9/7m=1/7
M=1/7*7/9=1/9

Answer: [tex]m=\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{9}{7}m=\frac{1}{7}[/tex]

Multiply by the reciprocal to isolate m.

[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]

[tex]m=\frac{1}{9}[/tex]

Write the equation of a line that passes through the origin and is perpendicular to the line whose equation is 12x - 4y = 24.

Answers

Answer:

y=-1/3x

Step-by-step explanation:

Let's convert this to slope intercept form:

12x-4y=24

-4y=-12x+24

y=3x-6

Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!

A lawn sprinkler located at the corner of a yard is set to rotate 50 degrees and project water out 30.0 feet. To the nearest tenth of a foot, what area of the lawn is watered by the sprinkler

Answers

Answer:

Area of the lawn is watered by the sprinkler is 392.75 ft²

Step-by-step explanation:

As the  lawn sprinkler  rotate 50 degrees when it project water out, it makes an arc from the corner where it is located.

The area of the lawn in which the water sprinkles, forms a sector with an angle of 50 degrees and radius of 30.0 feet.

[tex]Area \ of \ sector = Area \ of \ lawn= \frac{\theta}{360} \pi r^2\\\\ Area \ of \ lawn= \frac{50}{360} \pi (30)^2 = 392.75 \ ft^2[/tex]

Therefore, area of the lawn is watered by the sprinkler is 392.75 ft²

what is -2x+6y=-18 in slope intercept form?

Answers

Answer:

y = 1/3x - 3

Step-by-step explanation:

Subtract 2x on both sides

6y = 2x - 18

Isolate y by dividing 6 on both sides

y = 2/6x - 3

Simplify.

y = 1/3x - 3

Hope this helps!

answer the question in the attached picture please

Answers

Answer:

Option 1 is correct

5.345345... = 5340/999

Hope this helps!

:)

Twice the difference of a number and 7 is at most-17.​

Answers

Answer:

[tex]x\leq 15.5[/tex]

Step-by-step explanation:

help me fill this out thanks

Answers

Answer:

multiply

Step-by-step explanation:

Answer:

[tex]c = 4 \sqrt{3} [/tex]

[tex] \\ [/tex]

Step-by-step explanation:

[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]

A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?
P(Monday)
P(starts with 5)
P(Monday or starts with )​

Answers

Answer:

Well, P(Monday)= 1/7 = 14.3%

P(starts with S)= 2/7 = 28.6%

P(Monday or starts with S)= 3/7 = 42.9%

Step-by-step explanation:

Have a good day!!!

The probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

And, the probability of choosing Monday or starts with S is,

P = 3/7

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A day of the week is randomly chosen.

Since, Number of days in a week = 7

Hence, the probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

So, the probability of choosing Monday or starts with S is,

P = 2/7 + 1/7

P = 3/7

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ5

Maya is asked to find the GCF of each term in the expression 32 x y minus 18 y. Her work is shown below. Factors of 32xy: 1, 2, 4, 8, 16, 32, x, y Factors of 18y: 1, 2, 3, 6, 9, 18, y GCF: (1) (2) (x) (y) The GCF is 2 x y. Which best describes the accuracy of Maya’s solution? Maya’s solution is accurate. Maya factored 32xy incorrectly. Maya factored 18y incorrectly. Maya factored correctly, but did not find the correct GCF.

Answers

Answer: The answer is "Maya factored correctly, but did not find the correct GCF."

Step-by-step explanation:

I just took the quiz on Edgenunity.

Answer:

Answer: Mya factored correctly, but did not find the correct GCF.

Step-by-step explanation:



Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other venues.

A circle graph titled School trip location. 40 percent is a, 20 percent is b, 13 percent is c, 27 percent is d.

The circle graph shows the data from the table, but the labels are missing.

Choose the correct labels.

a =

b =

c =

d =

Answers

Answer:

a = state capital

b = nature center

c =  museum

d = other

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

Consider the quadratic function:
f(x) = x2 – 8x – 9

Answers


Solved in quadratic function
The answer :
X=(9,-1)

Answer:(4,-25)

Step-by-step explanation:

what is the 15th n term of the sequence 22 18 14 10 6

Answers

Answer:

-34

Step-by-step explanation:

All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34

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