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

Answer:

10

Step-by-step explanation:

Answer 2

Using an exponential function, it is found that the hourly growth rate of the bacteria culture is of 14.9%.

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

An exponential function has the following format:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which:

A(0) is the initial amount.r is the hourly growth rate.

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

Since it doubles every 5 hours, it means that:

[tex]A(5) = 2A(0)[/tex]

And we use this to find r.

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

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]2A(0) = A(0)(1+r)^5[/tex]

[tex](1 + r)^5 = 2[/tex]

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

[tex]1 + r = 2^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.149[/tex]

[tex]r = 1.149 - 1 = 0.149[/tex]

0.149*100% = 14.9%.

The hourly growth rate of the bacteria culture is of 14.9%.

A similar problem is given at https://brainly.com/question/24218305


Related Questions

(12m^7-36m) ÷6m
Please answer. Really need help

Answers

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

For what values of x and y ( x-2 , y-3) and (2x-6 , 3 ) are   equal to each other.​

Answers

y is given already

[tex]\\ \rm\Rrightarrow 2x-6=2[/tex]

[tex]\\ \rm\Rrightarrow 2x=2+6[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{8}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

Answer:

x = 4; y = 6

Step-by-step explanation:

Set the x-values equal to each other and the y-values equal to each other.

The first value in parentheses is an x-value, and the second value in parentheses is a y-value.

x - 2 = 2x - 6

Subtract x from both sides

-2 = x - 6

Add 6 to both sides to get x by itself on the right.

-2 + 6 = x

4 = x

y - 3 = 3

Add 3 to both sides

y = 6

Check answers for the x-value:

4 - 2 = 2(4) - 6

2 = 8 - 6

2 = 2

Check answers for the y-value:

6 - 3 = 3

3 = 3

The sum of two number is -1/3, if one of the number is -12/3 ,find the other number? please help​

Answers

Answer:

11/3

Step-by-step explanation:

-12/3 = -4

-4 + x = -1/3

X = -1/3 + 4

X = (-1+12)/3 = 11/3

11/3 + -12/3 = -1/3

Given the functions f(x)=3x−2and g(x)=−4x+1. Find (f+g)(x) and simplify completely.

Answers

[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]

[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]

[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]

[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]

[tex]\\ \sf\Rrightarrow -x-1[/tex]

Answer:

(f+g)(x) = -x - 1

Step-by-step explanation:

f(x)=3x−2

g(x)=−4x+1

(f+g)(x) = 3x -2 -4x+1

= -x - 1

he
Question
The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and
the width

Answers

Given : The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and the width.

Solution :

Let us assume the breadth be B

The length is three times the breadth So, the length be 3B

Perimeter of the rectangle = 64 cm

Perimeter = 2(Length + Breadth)

64 cm = 2(3B + B)

64 cm = 2(4B)

64 cm = 8B

B = 8 cm

Length = 3B = 3(8) = 24 cm

Breadth = B = 8 cm

PLEASE HELP

X+11/8 = -3

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]

maaf jika salah

Answer:

x=-35

Step-by-step explanation:

x+11=-3*8

x+11=-24

x=-24-11

x=-35

solve for X
2x + 5 = 33

Answers

X=14, 2x=28 therefore x=14

Answer:

X = 8

28

Step-by-step explanation:

Here Is How I did this problem:

33 - 5 = 28

X = 8

2x = 28

To Check my answer This is what I did:

28 + 5 = 33

Hope this helps! :)

I need help as soon as possible pleaseeeeeee!!!!!!!

Answers

first youd have to get the least common denominator, which would be 6. you do this by multiplying the denominator and numerator by the number needed to get to the least common denominator. this gives you 1 and 2/6 aswell as 3 and 3/6. from there its easier to count from 1 and 2/6 to 3 and 3/6. the final answer would be 2 and 1/6 unit away.

if this helped please give brainliest!

Question
Translate and solve 3084 is what percent of 24,99

Answers

81.03% Hope this helps!

tough one, can any genius help me out?

Answers

Answer:

Both of them. This has a constant slope of -8 and technically starts off after 87.

How to find 'w' ?
s is parallel to t​

Answers

Answer:

110°

Step-by-step explanation:

v is 70°, that is opposite to w. The degree of a line is 180°.

180 - 70 = 110

I hope this helps!

pls ❤ and mark brainliest pls!

Half of a number increased by seventeen is 8

Answers

Answer:

1/2x + 17 = 8

Step-by-step explanation:

1/2x + 17 = 8

1/2x = -9

x = -9/0.5

x = -18

PLEASEEE HELP!!!!!!!

Temperatures in Verkhoyansk, Russia have been recorded as low as -90°F and
as high as 98°F. What is the difference between the highest and lowest recorded
temperatures in Verkhoyansk?

Answers

Hi,

The difference is 188 F

please help me th that question​

Answers

Answer:

Step-by-step explanation:

we need to keep in mind that what you do to the bottom of the fraction is the same you do to the top of the fraction

In a class of 80 students, 45 are good in math,15 are good in both math and english,13 are good in both math and psychology,16 are good in both english &physchology ,20are good in physchology and 9 are good in all of the three .how many of them are good in mathematics

Answers

Answer:

26 students are good in mathematics only.

28 students are not good in any of the three courses.

The cost of bowling is $5 per player for shoe rentals and $45 per hour to book a
lane. Suppose a group of f friends go bowling for h hours. Write an expression for
the total cost for the group of friends to go bowling.

Answers

Writing an expression consists of combining two or more variables, symbols, or numbers, with one or more mathematical operators to form a mathematical sentence that is based on a specific context

The expression for the total cost for bowling is 45·h + 5·f

The reason the above expression is correct is as follows:

The given parameters are;

The cost of shoe rentals for bowling per player = $5

The cost to book a lane per hour = $45

The number of people in the group of friends = f

The number of hours the friends go bowling = h

Required:

To write an expression for the total cost for the group of friends to go bowling

Solution:

Let the number of lanes the friends book= 1

The total cost, C, is the cost to book one lane at $45 per hour for h hours, plus the cost for the f number of friends to rent one shoe each at $5 per player (person)

Mathematically,  C = 45·h + 5·f

The expression for the total cost for the group of friends to go bowling, is therefore;

45·h + 5·f

Learn more about mathematical expressions here:

https://brainly.com/question/20596193

Please answer now!
For 66 points!

Answers

Answer:

ok

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

ty for the points so very much

What is the answer and method for this equation?

Answers

Answer:

X = 15/16

Step-by-step explanation:

2(4-8x) + 6 = -1

8 - 16x + 6 = -1

14 - 16x = -1

-16x = -1 -14

-16x = -15

X = 15/16

Answer:

[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]

x=15/16 is the right answer.

12=-4(-6x-3) please help

Answers

Step-by-step explanation:

12=-4(-6x-3)

when minus is multiplied by minus then the result is plus,

12=24x+12

Now, subtract 12 from both sides,

12-12=24x+12-12

0=24x

Now, divide both sides by 24

0/24=24x/24

0=x

Answer and Step-by-step explanation:

First, distribute the negative 4 onto the negative 6x and negative 3.

12 = 24x + 12

Subtract 12 from both sides of the equation.

0 = 24x

Divide both sides of the equation by 24.

x = 0

To check our answer:

-4(-6(0) - 3) = 12

-4(0 - 3) = 12

-4(-3) = 12

12 = 12 ✓

So, x is equal to 0.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Referring to the figure, find the area of the
trapezoid shown.

Answers

The shape is 2 triangles. Find the area of each one and add them together.

1/2 x 6 x 10 = 30

1/2 x 10 x 12 = 60

30 + 60 = 90

Area = 90 square inches

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Given :Base (a) = 12 in.Base (b) = 6 in.Height (h) = 10 in.To Find :Area of Trapezoid

Formula used : ½ (a + b) h

Solution :

Area of Trapezoid = ½ (a + b) h

= ½ (12 + 6) 10

= ½ × 18 × 10

= 1 × 9 × 10

= 9 × 10

= 90 in.²

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Please help solve please

Answers

Answer:

The choose D) -12

Step-by-step explanation:

[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]

I hope I helped you^_^

The answer is -12
The picture below explains it

brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.
Which line segment is drawn in the figure?

Line segment Y Z
Line segment W Y
Line segment X Z
Line segment W Z

Answers

Answer:

the correct answer is

Line segment X Z

Answer:

Line segment X Z

Step-by-step explanation:

can someone explain how to do this? (I would like the answer, but an explanation on how you got it too) - R​

Answers

Answer: When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese

Find all the cube roots of
[tex]z = 2e {}^{i\pi} [/tex]

Answers

9514 1404 393

Answer:

  {∛2e^(iπ), ∛2·e^(iπ/3), ∛2·e^(-iπ/3)}

Step-by-step explanation:

  [tex]\displaystyle \sqrt[3]{z}=(2e^{i\pi})^{\frac{1}{3}}=(2e^{i(2n+1)\pi})^{\frac{1}{3}}=\sqrt[3]{2}\cdot e^{i(2n+1)\pi/3}\quad\text{for $n=\{-1,0,1\}$}\\\\=\{\sqrt[3]{2}\cdot e^{-i\pi/3},\sqrt[3]{2}\cdot e^{i\pi/3},\sqrt[3]{2}\cdot e^{i\pi}\}[/tex]

__

Additional comment

z = -2. ∛z will be three points in the complex plane on a circle of radius ∛2 at angles ±π/3 and π radians (±60° and 180°). That is, the real cube root of -2 is -∛2.

Help please and thank you

Answers

Answer:

16

Step-by-step explanation:

(x + 4)(x + 4) = x² + 8x + 16

16! (x+4)(x+4)
You take half of the middle x value (half of 8x in this case). Half of 8 is 4, square that number (4) and you get 16!

What is the quotient of 1/2 divided by 1/4 what is the quotient

Answers

Answer:

The quotient is 2

I don't think this needs solution

Answer:

the quotient is 2

Step-by-step explanation:

1/2÷1/4

1/2×4/1

=2

Quadrilateral ABCD with parallel sides AB and
CD is shown below.
Quadrilateral RSTU is the image of quadrilateral ABCD after a transformation. Which statement is true?
B
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU
are not necessarily parallel.
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS
must be parallel or on the same line.
D
If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not
necessarily parallel or on the same line.
If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides
RS and T'U must be parallel.

Answers

Answer:

Option D

Step-by-step explanation:

The rotation or reflection will change the direction of the image but the translation will leave the corresponding sides parallel.

Now the answer choices:

A

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU are not necessarily parallel.

Incorrect. Since RS and TU are parallel sides of same figure, they will remain parallel regardless the mentioned transformation. B

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS must be parallel or on the same line.

Incorrect. Since AB and RS are corresponding sides of the figures, the rotation will result in different angle between those sides. C

If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not necessarily parallel or on the same line.

Incorrect. Since it is just  a translation, the corresponding sides will remain parallel. D

If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides RS and T'U must be parallel.

Correct. Since RS and TU are parallel sides of the same figure, they must remain as is regardless the reflection, rotation or translation.

Find the length of the segment.

segment EA

Answers

Answer:

8

Step-by-step explanation:

|-4-4| = |-8| = 8

Please Help! I will give you a lot of points if you do!

-It's NOT regular subtraction. You have to use Hindu-Arabic number system. If you don't and just use our regular number system then I will report you and give you a red flag

Answers

Answer:

377

Step-by-step explanation:

See attached.

Step-by-step explanation:

510 (base eight)

-111 (base eight)

___

377 (base eight)

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