A water tank is contaminated with a colony of 20 000 e.Coli bacteria. After 3 days the bacteria has grown to 28 284 e. Coli. What is the doubling time of the bacteria using an equation
Answer:
6
Step-by-step explanation:
The formula for doubling time is given as:
P(t) = Po(2)^t/k
Where:
P(t) = Population after time t = 28,284
Po = Initial Population = 20,000
t = time = 3 days
k = doubling time = ?
28,284 = 20,000 × (2)^3/k
Divide both sides by 20,000
28,284/20,000 = 20,000/20,000 × (2)^3/k
1.4142 = (2)^3/k
2^1/2 = (2)^3/k
Divide both sides by 2
1/2 = 3/k
Cross Multiply
k × 1 = 2 × 3
k = 6
Therefore, the doubling time(k) of the bacteria is 6
The school is planing a file trip they have 81 busses .each bus has 62 seats how many students can go
Answer:
5,022 Students
Step-by-step explanation:
All you have to do it multiply!
Like so:
81*62= 5,022
Ray orders a sandwich at a deli
Club on white bread
Step-by-step explanation:
If you get the answer can you please explain to me how you got it???
Answer: 22 I got my answer from safari
Step-by-step explanation:
Adventure play sells an mp3 for 18.00 and charges $3.25 per song. King music sell a player for $23.00 and charges $2.00. For how many songs will the cost be the same
Answer:
4 songs
Step-by-step explanation:
Given data,
Adventure play sells mp3 = $18
Charges per song = $3.25
King music sell Mp3 = $23
Charges per song = $2
Let number of songs be Y, then we can calculate by using following method,
Adventure play MP3 cost + charges per song = Kings Music MP3 cost + charges per song
By putting the value, we get
$18 + $3.25 Y = $23 + $2 Y
By solving the equation,
$3.25 Y - $2Y = $23 - $18
$1.25 Y = $5
Y = $5 ÷ $1.25
Y = 4 songs
Hence, for 4 songs the cost be same.
I don’t understand. Please help
Answer:
AG = 10
GD = 5
CD = 12
Step-by-step explanation:
Centroids divide a median (like AD) into two segments that are in a 2:1 ratio. That's the centroid's special power. So if AD is a total of 15 units long, then dividing it into two segments in a 2:1 ratio means the long side is 10 and the short side is half that, or 5, which checks out because 10+5 = 15.
Now you have GD = 5, and you also know that angle GDC is 90 degrees, so you know triangle GDC is a right triangle, which means it obeys the Pythagorean Theorem.
so CD² + GD² = CG²
so CD² + 25 = 169
CD² = 144
CD = 12
Consider the following sequence and type the next number in the sequence.
55, 48, 41,34
The required number next number in the sequence is 27.
Given that,
Sequence = 55, 48, 41,34, the number that comes next in the sequence is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
Given sequence,
55, 48, 41, 34
The sequence has a common difference of 7,
When we subtract 7 from the number 34, the next number in the sequence can be calculated,
So.
next number = 34 - 7 = 27
Thus, the required number next in the sequence is 27.
Learn more about arithmetic here:
https://brainly.com/question/11424589
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Solve the equation for X and show your work.
3x= 15
Answer:
5
Step-by-step explanation:
15/3=5
169.2 is what percent of 128? Round to the nearest thousandth.
Answer:
169.2 is 132.1875% of 128
Step-by-step explanation:
Lauren went to Lee's Nails to get a pedicure. Her pedicure cost $20.00 and she wanted to give a 15% tip. How much would she leave as a tip?
Answer:
$3 is 15% of $20.
10% of $20: $2
5% of $20: 2/2 = 1
2 + 1 = 3 or 10% + 5% = 15%
oby picks a 6-digit number.
It is larger than 199,999 and it is a multiple of 2.
How many different numbers could he have picked?
Answer:
Step-by-step explanation:
The biggest 6 digit number is 999,999. If it is a multiple of 2, then the largest one is 999,998.
A number that is larger than 199,999 and is a multiple of 2 is 200,000
Every 100,000 there are 50,000 even numbers
so the answer is 349999
I am not very sure about this so if its wrong Im very sorry
73+p=151 help addition and subtraction equations
Answer:
p=78
Step-by-step explanation:
73+p=151
73-73+p=151-73
p=78
Convert the angle 0=23/20 radians to degrees,
Answer:
207°
Step-by-step explanation:
please help :) i will really appreciate it
Answer:
Maybe the second or fourth? Im not sure, sorry!
Step-by-step explanation:
A company pays its employees $26 for every 4 hours of overtime worked in a day.
Mike works 9 hours of overtime and is paid $53.
Rachael works 8 hours of overtime and is paid $52.
Tom works 17 hours of overtime and is paid $442.
John works 16 hours of overtime and is paid $100.
Which employee receives an appropriate payment for the hours of overtime worked, according to the given rate?
A.
Mike
B.
Rachael
C.
Tom
D.
John
Answer:
it's answer is B
4 hours = $26
1 hour = $26/4 = $13/2
8 hour = $13/2 * 8
= 13 * 4 = $52
hope it helps you
Answer:
B. Rachael
Step-by-step explanation: each employee gets paid 26 dollars per 4 hours so Rachael's total was $52 so 26 times 2 = 52 . I hope this helps!!
Please help me write an equation for this problem
Answer:
[tex] an \: equation \: for \: this \: problem \:i s \: \to : \\ \boxed{ 7200 = 12t}[/tex]
Step-by-step explanation:
[tex]let \: the \: distance \: be \to \: d \\ \\ let \: the \: speed \: rate \: be \to \: s \\ \\ let \: the \: time \: of \: action \: be \to \: t \\ therefore \to: \\ s = \frac{d}{t} = 12 = \frac{7200}{t} \\ \\ 7200 = 12t \\ [/tex]
Decide whether the relation is a function, and give the domain and range.
Lease solve I will give brainliest
Kwahi had to buy a case of water for his teammates. The water was 4.99 for a 24-pack. What is the unit rate for one bottle of water
Answer:
Around 21 cents per bottle.
Good price!
5x = y +6
5x + 2y = 3
I forgot how to solve it I need help
Answer:
Y=3
X=9/5
Step-by-step explanation:
(1) 5x=y+6
(2) 5x+2y =3
Replace (1) to (2) => (y+6)+2y=3 => y=3
Replace y=3 to (2) => 5x = 3+6 => 5x=9 => x=9/5
Plz answer quick!!
This is due today, and i have to get it done by 8:00!
Answer:
Step-by-step explanation:
5. 24
6. 14
7. 45
8. 15
9. 5
10. 5
11. 18
12. 12
13. 8
14. 84
please help this was due
Answer:
maybe. hope this help....
4 .subtract the H.C. F of 8, 12 and
16 From the H.C. F OF 14 and 28.
Answer:
HCF 8, 12, 16 = 4
HCF 14, 28 = 14
14 - 4 = 10
In Circle H below if m
Answer: um what do u mean?
Which ordered pair (a, b) is the solution to the given system?
2a - 5b= 1
3a + 5b = 14
(1, 3)
(3, 1)
(29/5, 15)
(15, 29/5)
Answer:
B (3,1)
Step-by-step explanation:
your portfolio has grown from $2500 to $3800 what is the percent of growth rate
Answer:
52%
Step-by-step explanation:
i need help with this and if you don't know please don't answer
Answer:
18 ft
Step-by-step explanation:
An extremely handsome math teacher was on a farm and he counted 32 animals; all pigs and chickens. Then he counted the number of feet. The total was 88. Find the number of pigs and the number of chickens. (Hint: You need to take the number of legs each animal has into consideration.)
15 pigs and 17 chickens
12 pigs and 20 chickens
20 pigs and 12 chickens
22 pigs and 10 chickens
Answer:
12 pigs and 20 chickens
Step-by-step explanation:
Chicken = 2 legs
Pig = 4 legs
(15 * 4) + (17 * 2) = 88 NO
(12 * 4) + (20 * 2) = 88 Yes, and 12 + 20 = 32
help me please it's do today and i'm stuck on this one
Answer:G
Step-by-step explanation:This is because $3 per pound and pound respents n .Which means 3n.And since $20 is what you have to spend you can spend $20 or equal to $20 .So it would be the less then or equal to symbol. Which means G.
Hope it helps.
Part A
What is the y-intercept and what does it represent?
Part B
What is the x-intercept and what does it represent?
Answer:
a) The y-intercept is 160. It represents the initial distance Jayden was from his home.
b) The x-intercept is 4. It represents the amount of time taken for Jayden to reach his home.
Step-by-step explanation:
The y-intercept can be found by looking at the value of y when x=0. When x=0, y= 160. Since the x-axis is the amount of time in hours, x=0 would mean the initial time. The x-axis is the number of miles from Jayden's home thus, Jayden was 160 miles away from his home when x=0 hours.
The x-intercept can be found by looking at the x value when y=0. When y=0, x=4. This means that it took Jayden 4 hours to reach home or 4 hours to travel 160miles to his house.