A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria
culture. Round your answer to the nearest tenth of a percent.

Answers

Answer 1

[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]Answer:

14.87% per hour

Step-by-step explanation:

Let's pretend we're starting with one bacteria.

Double of one is two

We're gonna have to use this formula: A = P(1 + x)ⁿ

A = Amount (which is 2)

P = Initial amount (which is 1)

x = percentage per time (hour)

n = amount of time (hours)

So our equation will look like this:

2 = 1(1 + x)⁵

First, we need to root both sides to isolate (1 + x)

[tex]\sqrt[5]{2} = \sqrt[5]{(1+x)}[/tex]

[tex]\sqrt[5]{2} = 1 +x[/tex]

Then subtract both sides by 1

[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]

[tex]x=\sqrt[5]{2}-1[/tex]

[tex]\sqrt[5]{2} = 1.148698355[/tex]

1.148698355 - 1 = 0.148698355

x = 0.148698355


Related Questions

Find the cube root of 1.331

Answers

Answer:

answer is 1.1

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

Answer:

1.1

Step-by-step explanation:

Need help ASAP pls thx

Answers

Answer:

the correct answer is 60 :)

[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]

Which rule describes the pattern shown? 41, 54, 67, 80, 93, 106

Answers

Answer:

adding by 13

Step-by-step explanation:

subtract 54-41

jordan cooked a 16 1/5 pound turkey in 5 2/5 hours. How many minutes per pound did it take to cook the turkey?

Answers

Answer:20 minutes per pound

we know that

To find the unit rate divide the total time by the total weight

Convert mixed number to an improper fraction

Convert hours to minutes

so

Find the unit rate

therefore

20 minutes per pound

Cady found that she uses 1/6 of a roll of paper towels each week. How many rolls of paper towels will she use in 8 weeks?

Answers

Answer:

[tex]1 \frac{2}{6} [/tex]

Step-by-step explanation:

[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]

HELPPPGPTPPFPPZPSKZJZ

Answers

Help it not answer you have to say helllooofrrr Dan holloywood helpoopp

Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relatinoship between her labeling speed and the number of minutes it would take her to finish labeling. ​

Answers

it will take her 34 mins coz I said so innit

Select all ratios equivalent to 7:5.

Answers

Answer:

77 : 55

Step-by-step explanation:

77 : 55

divide the ratio by 11.

7 : 5

From midnight to 6:00 am, the temperature dropped 0.9°C each hour. If the temperature at 6:00 am was -0.4°C, what was the temperature at midnight?
Help like asap

Answers

Answer:

5.8°C

Step-by-step explanation:

[tex]6 \times 0.9 = 5.4[/tex]

[tex]Therefore, 0.9 + 5.4[/tex]

[tex] = 5.8[/tex]

(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con

Answers

We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]

From the Question we are told that

[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]

Generally the equation for the Resultant PR is mathematically given as

[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]

a)

Generally the equation for the Distance around they park is mathematically given as

[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]

[tex]X=190yd[/tex]

b)

Generally the equation for the Path QM is mathematically given as

From the diagram we see that

[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]

[tex]QM=40yd[/tex]

c)

From the question we are told

Average speed of [tex]150yd/m[/tex]

Total distance traveled

[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]

Therefore

Time

[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]

[tex]T=1.5minutes.[/tex]

in conclusion

The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]

For more information on this visit

https://brainly.com/question/15356513

Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?

Answers

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350

A vegetable farmer fills of a wooden crate with of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?

Answers

You can’t tell because it might be more than 1 pound, but you can say it’s at least 1 pound.

Show that 6 – 4x - x^2 can never be greater than 10.
( This is an Additional Math Question )

Answers

Answer:

see explanation

Step-by-step explanation:

Given

6 - 4x - x²

Since the coefficient of the x² term < 0 then parabola has a maximum vertex.

To find the x- coordinate of the vertex

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

with a = - 1 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2

The corresponding y- coordinate is found by substituting x = - 2 , that is

6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10

vertex = (- 2, 10 )

The maximum value of the function is the y- coordinate of the vertex

Then maximum value is 10

Thus 6 - 4x - x² is never greater than 10

The x-intercept of the equation 2y + 3x = 6 is:
A. -3.
B. 3.
C. 2.

Answers

Answer:

C

Step-by-step explanation:

X intercept <=> y=0

Hence the x intercept is x=2

Simplify each

2. 2
— - —
5 3


3 3
— + —
4 8
With explanation please

Answers

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

°■°■°■°■°■°■°■°■°■°

[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

simplify [(x-4)/(x-4)2]

Answers

X-4/2(X-4)
x-4 and x-4 gets canceled

Then later, we are left with 1 in the numerator and 2 in the denominator.

Hence the answer is,

1/2 OR 0.5

1. I can wash a car in 20 minutes. How long will it take me to wash 20 cars?

2. I can type 4 words per minute. How long will it take me to write a 500 word essay?

Answers

1. 400 minutes because if it takes 20 minutes to do 1 car you multiply: 20 cars x 20 minutes to get 400 minutes

2. 125 minutes because if it takes 1 minute to write 4 words you divide: 500 words/ 4 words = 125 minutes
1. It will take you 400 minutes to wash the car

What is 234 (two hundred and thirty four) X 0.35?

Answers

Answer:

81.9

Step-by-step explanation:

mark me brainliest plzz

234(234)×0.3

234×234×0.3

54,756×0.3

16,426.8

Pliz help solve this what's 3+4×2.00×29
Here the other question 5n+1 find the sequence

Answers

3+4x2.00x29 is 235.

Answer:

Step-by-step explanation:

1) 3 + 4*2*29 = 3 + 232  = 235  

First we have to do multiplication and then we have to add

2) 5n + 1

Term 1 ; n = 1  ;  5n + 1 = 5*1 + 1 = 5 + 1 = 6

Term 2 ; n = 2 ; 5n + 1 = 5*2 + 1 = 10 + 1 = 11

Term 3 ; n = 3 ; 5n+ 1 = 5*3 + 1 = 15 + 1 = 16

Term 4; n = 4  ; 5n + 1 = 5*4 + 1 = 20 + 1 = 21

The sequence : 6 , 11, 16 , 21 ..........

baseten school district bought 5,000 pencils. they are distributing the pencils evenly to 10 school in the district . how many pencils will each school get

Answers

Answer:

500

Step-by-step explanation:

5000 divided by 10

the capacity of cylinder tank is 539 litres . if its height is 1.4m then find the area of base

Answers

Step-by-step explanation:

Solution:

Here,

Volume of the tank=539 litres

=539×1000cm^3=539000cm^3

Height=1.4×100cm=140cm

Let the radius of the base be r cm

Then,

22/7×r^2×140=539000

or,r^2=539000×7/22×140

or,r^2=1225

or,r=35 cm

So,

Area of base=pie r^2

=22/7×35^2

=3850 cm^2

Keep smiling and hope u r satisfied with my answer.Have a good day :)

Given Data:

Capacity of the Cylinder tank, V = 539 litres =

Height, h = 1.4 m

Area of the Cylinder, A = ?

Convert litres to m³: I litre = 0.001 m3

: . Capacity of the Cylinder tank = 539 litres = 0.539 m³

Let the radius of the base be r cm.

Find the radius of Cylinder:

Volume = πr²h

0.539 = πr²(1.4)

0.539 ÷ 1.4π = r²

r² = 0.12255

r = √0.12255

r = 0.35m

Find Area of Base:

Area, A = πr²

Area = π(0.35)² = 0.385 m²

Answer: The Area of base is 0.385 m²

Find the area and perimeter.



Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.

12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10

Answers

Answer:

Area = 6x + 36

Perimeter = 3x + 10

Step-by-step explanation:

Sides of the triangle:  12 ; (x - 7)  & (2x + 5)

Perimeter of the triangle = sum of all the sides

      = 12 + x - 7 + 2x + 5

      = 2x + x + 12 - 7 + 5     {Combine like terms}

      = 3x  + 10

Area of triangle:

Base = 12  & height = h = x +6

[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]

= 6 *(x + 6)       {Use distributive property}

= 6*x + 6*6

= 6x + 36

Solve for x. Then find the length of each side of the figure.

Answers

Answer:

x = 6 for Side 14 - 2x

x = 9 for Side 2x + 1

x = 11 for Side 3x - 1

Step-by-step explanation:

14 - 2x + 2x + 1 + 3x - 1 = 26

-2x  + 2x + 3x - 1 + 1 + 14 = 26

3x + 14 + 1 - 1 = 26

3x + 14 = 26

    -14      -14

-------------------

3x = 12

/3     /3

------------------

x = 4

Now, plug x = 4 into all the side expressions and find out their lengths.

Side 14 - 2x

14 - 2x

= 14 - 2(4)

= 14 - 8

= 6

Side 2x + 1

2x + 1

= 2(4) + 1

= 8 + 1

= 9

Side 3x - 1

3x - 1

= 3(4) - 1

= 12 - 1

= 11

Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.

6 + 9 + 11 = 26

26 = 26 CORRECT

What is the solution of the equation?


-6x+5= 3-5x

Answers

Answer:

I think the answer is x = 2

Answer: 2

Step-by-step explanation:

-6x+5=3-5x

+5x +5x

-x +5=3

-5 -5

-x = -2

-2 -2

X=2

7. Is 5.787787778... a rational or irrational number?
Explain.

Answers

Answer:

Irrational

Step-by-step explanation:

Its irrational as it has no pattern of numbers after decimal point and the number are infinite

Answer:

irrational because it has a coma after one number

write an expression for the sequence of operations described below.
g fewer than the sum of f and 8
Do not simplify any part of the experssion.

Answers

Step-by-step explanation:

f + 8 > g this can be written in other ways but this sums it up

Find the y-intercept of the line: 6x – 3y +6=0

Answers

Answer:

Step-by-step explanation:

The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:

6(0) - 3y + 6 = 0 and

-3y + 6 = 0 and

-3y = -6 so

y = 2

5. Define linear pair
please answer fast

Answers

a liner pair is the pair of adjacent angles formed when two line intersect

(a) Find the value of xif 10, x and 30 are in A.P.
(b) If 6,x,y, and 18 are in A.P., find the value of x and y.

it's a optional mathematics Questions please solve him​

Answers

Part A

Answer:  x = 20

--------------------------------

Explanation:

AP = arithmetic progression, which is another way of saying arithmetic sequence.

Let d = common difference

first term = 10second term = first+d = 10+d = xthird term = second+d = x+d = 30

Apply substitution like so

x+d = 30

10+d+d = 30 ... replaced x with 10+d

10+2d = 30

2d = 30-10

2d = 20

d = 20/2

d = 10 is the common difference

Therefore,

x = 10+d = 10+10 = 20

The AP {10,x,30} updates to {10,20,30}. We see the gap between terms is 10 units. All AP's have the same gap width between adjacent terms.

=============================================================

Part B

Answers:  x = 10 and y = 14

--------------------------------

Explanation:

We use the same ideas mentioned back in part A.

d = common difference = unknown for now

first term = 6second term = first+d = 6+d = xthird term = second+d = x+d = (6+d)+d = 6+2d = yfourth term = third+d = y+d = (6+2d)+d = 6+3d = 18

Hopefully you can see how each term builds up to form the next one. We'll solve that last equation like so

6+3d = 18

3d = 18-6

3d = 12

d = 12/3

d = 4

So we then can say:

x = 6+d = 6+4 = 10y = 6+2d = 6+2(4) = 6+8 = 14

The arithmetic sequence {6,x,y,18} updates to {6,10,14,18}. There's a gap of 4 between each adjacent term.

What is 32,651.97 written in expanded form? PLease dont lie

Answers

Step-by-step explanation:

30000+2000+600+50+1+0.9+0.07

Concept:

First write ten thousands ,then thousands then hundred,then tens then ones then thenths then hundredths.

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