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

-23 - x - x + 16 - 2

Answers

Answer:

-2x - 9

Step-by-step explanation:

Answer:

−2x−9

I hope this helps


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

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.

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)

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

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]

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:

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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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:

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

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

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

8-1 and 1/2 show your work

Answers

Answer:

The answer is 6.5

Step-by-step explanation:

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:

>:(

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

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

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]

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

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.

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 !!!!!!!!!!!///

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.

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.

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.

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

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 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

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

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

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

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