In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 8 hours, to the nearest whole number?

Answers

Answer 1

Answer:

593

Step-by-step explanation:

[tex]490(2)^8^/^2^9 = 593.25[/tex]

593.25 ≈ 593

Answer 2

The number of bacteria after 8 hours is 593.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Number of bacteria placed in petri dish = 490

Time required for bacteria to double = 29 hours

Number of bacteria after 8 hours is

⇒ [tex]490(2)^{\frac{8}{29} }[/tex]

⇒ [tex]490(2)^{0.2758}[/tex]

⇒ [tex]490(1.2107)[/tex]

⇒ [tex]593.25149[/tex]

⇒ [tex]593[/tex]

Hence  we can conclude that the number of bacteria after 8 hours is 593.

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Related Questions

Is (a + b) and (a - b)? perfect square trinomials?
O True
O False

Answers

Answer:

False

Step-by-step explanation:

Pos and negs cannot be perfect square trinomials

the answer should be false

Caylee buys an item that is $15.00, and uses a 10% off coupon. How much does she save by using the coupon? *

Answers

Answer:

Caylee saved $1.5 by using the coupon.

Step-by-step explanation:

In order to find the amount that Caylee saved by using the coupon, you have to calculate 10% that is the discount percentage of the price of the item which is $15:

$15*10%=$1.5

According to this, the answer is that Caylee saved $1.5 by using the coupon.

from the top of the tower the angle of depression of a bottom of a pillar on the same surface of height is 20 metre is 60 degree. if the angle of depression from the top of the pillar to the bottom of a tower is 22 degree. find the height of the tower.​

Answers

Answer:

85.74 m.

Step-by-step explanation:

tan 22 = 20/x where x is the distance between the tower and the pillar.

x = 20 tan 22 = 49.50.

tan 60 = h/49.50   where h is height of the tower

h = 49.5 tan 60

= 85.74 m.

A private club was reduced by 36 members in 4 weeks. Its size changed by the same number of members each week. What was the change in the club’s size each week?

Answers

Answer:

9 members per week

Step-by-step explanation:

If 36 people overall left over 4 weeks, you can do

36/4=9

cosec 45^0
= ______ .​

Answers

Answer:

cosec45° = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the identity

cosec x = [tex]\frac{1}{sinx}[/tex] and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

Then

cosec45° = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]

for f(x) = 5x - 7 and f(x) = -3, what is the value of x​

Answers

Answer:

Step-by-step explanation:

hello :

f(x) = 5x - 7 and f(x) = -3

5x - 7  = -3

5x=7-3

5x=4

x=4/5

Answer:

x = 4/5

Step-by-step explanation:

5x - 7 = -3

5x = -3 + 7

5x = 4

x = 4/5

Check:

5*4/5 - 7 = -3

4 - 7 = -3

i don’t understand how to answer this :)

Answers

Answer:

120°

Step-by-step explanation:

Answer:

I think it's a clockwise rotational symmetry from the centre of the circle.

if m<AFC= 150°, what is m<CFD​

Answers

Answer:

30

Step-by-step explanation:

These are djacent angles ( two angles that have the same vertex, share a side, and do not overlap)  The 2 angles  form a  linear pair           The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

If one angle is 150 then the other angle must be 30

150+30 = 180

whats the equation for the table

Answers

Answer:

y= 32x

Step-by-step explanation:

Use slope formula

192-128/6-4= 64/2

M=32x

Find y-intercept (if any)

128=32(4)+b

128=128+b

B=0

find the distance between the two points in simplest radical form (6,-2) and (-1,4)

Answers

Answer:

13

Step-by-step explanation:

If you were to plug the points into a graph you would have to go down 6 over 7 making it 13

find the mode for data set 3, 2, 8, 5, 1, 4, 4, 3, 4, 5, ​

Answers

Answer:

Mode is 4

Step-by-step explanation:

trigonometry please help! work need to be shown please

Answers

Answer:

x = 9.83

Step-by-step explanation:

Reference angle = 55°

Opposite = x

Hypotenuse = 12

Apply trigonometric function SOH:

Sin 55 = Opp/Hyp

Sin 55 = x/12

12 × Sin 55 = x

9.82982453 = x

x = 9.83 (nearest hundredth)

A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

4.79

Hope this helps! :D

Answer: 0.2

Step-by-step explanation:

A bag contains different color marbles, 4 blue marbles, 7 yellow marbles, 5 red marbles, and 2 green marbles.
Frank draws one marble, 36 times, replacing the marble each time. Use theoretical probability to predict how many times Frank will draw a green marble.
Frank will draw a green marble ___ times.

Answers

Answer:

2/36

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

Solution given:

1.KU =UE Def.of midpoint

2.LU=UT Def.of midpoint

3.<KUL=<TUE Vertically opposite angle

4.∆KLU=∆ETU. S.S.A. axiom

Step-by-step explanation:

It will help you !!!!!!!!!!!///

-23 - x - x + 16 - 2

Answers

Answer:

-2x - 9

Step-by-step explanation:

Answer:

−2x−9

I hope this helps

The rabbit population in Jefferson County, which is currently at 8,400 rabbits, is increasing by 5% each year. How many rabbits will there be in 7 years?

Answers

Answer:

11,340

Step-by-step explanation:

5% = 420 420 x 7 = 2940

2940 + 8400 = 11,340

GIVING BRAINLIST!!!
Danielle borrows $2.500 from the bank at 6%
simple interest for 5 years. How much is
Danielle going to pay in interest?
6. (Show work there)
all

Answers

Answer:

150

2.500/6%

not 100% sure tho

Answer:  1 = 2,500 x 0.06 x 5

What’s is 3+4+8+9+2+5+6+7=

Answers

Answer:

44

Step-by-step explanation:

I just used mental math soooo.......

have a great day luvs <3

Answer:

44

Step-by-step explanation:

3+4+8+9+2+5+6+7=

7+8+9+2+5+6+7=

15+9+2+5+6+7=

24+2+5+6+7=

26+5+6+7=

31+6+7=

37+7= 44

44 = 44

156 people said they spent the night in Wal-Mart the night before Black Friday to get the good deals! This number represented 39% of the total number of shoppers at Wal-Mart. How many shoppers were at Wal-Mart?

Answers

Answer: 400 Shoppers

Step-by-step explanation:

Given

156 people spent the night in Wal-mart

These 156 people represent 39% of total shoppers at Wal-mart

Suppose x is the total no of shoppers at Wal-mart

So, we can write

[tex]\Rightarrow 39\%\ \text{of}\ x=156\\\Rightarrow 0.39\times x=156\\\\\Rightarrow x=\dfrac{156}{0.39}=400\ \text{People}[/tex]

Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 ​ )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4

Answers

Answer:

p = 1

Step-by-step explanation:

4 - 5(p + 3/5) = -4

Find P

4 - 5(p + 3/5) = -4

4 - 5p -15/5 = -4

4 - 5p - 3 = -4

-5p + 1 = -4

-5p = -4 - 1

-5p = -5

p = -5/-5

p = 1

Check:

4 - 5(p + 3/5) = -4

4 - 5(1 + 3/5) = -4

4 - 5 - 15/5 = -4

4 - 5 - 3 = -4

4 - 8 = -4

-4 = -4

Answer:

ITS HELLA 1/5 NOT 1

Step-by-step explanation:

>:(

Joanne paid $28,000 for her new car. In addition, she paid $1,400 in taxes. What was the tax rate Joanne paid on her new car

Answers

Answer:

5%

Step-by-step explanation:

1400/28000=0.05

Test

5%*$28,000=$1400

8-1 and 1/2 show your work

Answers

Answer:

The answer is 6.5

Step-by-step explanation:

Mrs. Parker takes 12 minutes to bake 4 tortillas. At this same rate, Mrs. Parker will take minutes to bake 24 tortillas.

Answers

Answer:

72 mins

Step-by-step explanation:

12/4=3 tortillas per min

3 x 24 = 72 min to bake 24 tortillas

Hope this helps :D

Evaluate the following expression when x = -2 y = 3 z = - 4

Answers

Answer:

x=-4

y= 2

z= -4/3

Step-by-step explanation:

x= -4 (directly)

-2y = -4

or, y = -4/-2

y =2

3z= -4

z= -4/3


help me please ! in going to fail

Answers

Answer:

can't see the question properly

Answer:

I think the answer is A bc x is slope and y is y intercept

Cho has sold 28 bags and his goal is to sell 100 bags write an inequality to show how many more bags he needs to sell

Answers

Answer:

x ≤ 72

He needs to sell 72 more bags.

Step-by-step explanation:

Cho has sold 28 bags and his goal is to sell 100 bags write an inequality to show how many more bags he needs to sell

Let x represent the number of bags he needs to sell

28 + x ≤ 100

x ≤ 100 - 28

x ≤ 72

Therefore he needs to sell 72 more bags.

Ayesha, Laurel, Gemma, Reid, Emma, Gita, and Maas write their names on small pieces of paper and put them into a hat. A name is pulled from the hat without looking. Use a fraction to describe the theoretical probability of each event. Then order the events from most likely to least likely. The name drawn starts with a "G." The name drawn does not start with a vowel. The name drawn ends with an "a." The name drawn contains an "e." The name drawn contains a "z."​

Answers

Answer:

Emma and Maas and other people

Help me I’m lost I’ve been stuck on this the pas 20 min anyone help

Answers

Answer:

I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.

If f(x) = 3LX-2], what is f(5.9)? 9 10 11 12​

Answers

Answer: 12

Step-by-step explanation:

We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example : For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9 , we have

[since [3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12

The value of the function f(5.9) will be 12. The correct option is D.

What is a function?

In mathematics, a function is a rule that assigns a unique output value to each input value in a specified domain. A function is often denoted by a letter such as f, and we write f(x) to represent the output value associated with an input value x.

We know that the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example: For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9, we have

F[3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12.

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