In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?
Answers
9514 1404 393
Answer:
19.5 hours
Step-by-step explanation:
The number in the dish at time t (in hours) can be described by ...
n(t) = 100·2^(t/26)
We want to find t such that ...
n(t) = 168
100·2^(t/26) = 168
2^(t/26) = 1.68 . . . . . . divide by 100
(t/26)log(2) = log(1.68) . . . . . take logarithms
t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t
t ≈ 19.5 . . . hours
It would be about 19.5 hours until there are 168 bacteria.
Related Questions
F is inversely proportional to d 2 . When F = 8 , d = 6 Work out d (positive value rounded to 2 DP) when F = 7
Answers
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
$1,250 at 5% simple interst for 2 years
Answers
Answer:
2625
Step-by-step explanation:
Simple Interest Formula
P*R*T
1250*1.05*2=2625
Answer:
After two years, there will be a total of $1,375 paid and $125 paid in interest.
Step-by-step explanation:
Since, 5 x 2 = 10, first we should find 10% of $1,250.
1,250 x 0.10 = 125
$1,250 + $125 = $1375
Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.
Hope this helps! :D
Which number line correctly shows -3- 1.5?
Web
3
0
2
3
- 3
2
3
13
0
PLSS HURRY IM ON A TIMER
Answers
Answer:
The first one
Step-by-step explanation:
Please answer 1 - 3! thank you!
Answers
Answer:
The first one is
5x * 10
(x is the variable) TIMES 10
Step-by-step explanation:
Nick is saving up for a laptop. His dad gave him $50 to start a savings account. He earns $9 every hour from his job, which he also saves. Write the equation of a function that can be used to find y, the total Nick has saved after x hours.
fill in the blanks
y =__ x + __
Answers
50 is what he dad gave him that doesn’t change, we know he works and earns $9 but we don’t know how many hours
How manys days makes a leap year?
Answers
Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.
Step-by-step explanation:
What triangle is this ? Pleaseee helppppp !!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!
Answers
Answer:
isosceles right triangle
Find the value of x
A- 6
B-5
C-4
D-10
Answers
Answer:
x=4
Step-by-step explanation:
In triangle MLK
it is a equilateral triangle HenceML=LK=MK=5Now come to triangle MKJ
It is a isosceles triangle Hence MJ=MkMK=5
Hence
[tex]\longrightarrow\sf MJ=5 [/tex]
[tex]\longrightarrow\sf x+1=5[/tex]
[tex]\longrightarrow\sf x=5-1 [/tex]
[tex]\longrightarrow\sf x=4 [/tex]
The equation d=11t models the distance a mouse can travel when it runs at top speed. In the equation,d is the distance in feet and t is the time in second. Complete the table WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
t = 0 , d = 0
t = 2, d = 22
t= 4, d = 44
t = 6, d = 66
Step-by-step explanation:
Here, given the equation that relates the time in seconds to the distance in feet, we want to complete the given table
From the equation, we have that d = 11t
This mean that by multiplying the time by 11, we get the distance
Thus, we have that ;
when t = 0
d = 11 * 0 = 0
when t = 2
d = 11 * 2 = 22 ft
when t = 4
d = 11 * 4 = 44 ft
when t = 6
d = 11 * 6 = 66 ft
Given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.
Equation of a Proportional RelationshipEquation that models a proportional relationship between two variables, "t" and "d" can be expressed as: d = kt.k is the constant of proportionality.Given:
d = 11t
Find the corresponding values of d by plugging in the given values of t:
When t = 0,
d = 11(0) = 0
When t = 2,
d = 11(2) = 22
When t = 4,
d = 11(4) = 44
When t = 6,
d = 11(4) = 66.
Therefore, given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.
Learn more about proportional relationship on:
https://brainly.com/question/15618632
Heather works as a waitress at her family’s restaurant. She works 4 hours every morning during the breakfast shift and returns to work each evening for the dinner shift. In the last four days, she worked 26 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?
Answers
Answer:
5 hours
Step-by-step explanation:
she works 5 hours each dinner shift
i can't do this, can someone explain
Answers
Answer:
i think its m=4 too
Step-by-step explanation:
mhhhh
How do you find the rule using this tile pattern and this graph
(need desperate help so I’ll add you as brainliest)
Answers
Answer:
I wish you the best dont let people brign you down sending love
Step-by-step explanation:
Write the quadratic equation in standard form:
3x – 17 + 3x^2= -4
Answers
c(x) = -5x^2+x
Find c(4)
Answers
Answer:
c(4) = -76
Step-by-step explanation:
c(x) x=4 so plug 4 in for x
-5(4)² + (4)
Do parentheses first so... 4² = 16
-5(16) + 4
-5(16) = -80
-80+4 = -76
c(4) = -76
Adding two negative numbers together always results in a negative number." Is this statement True or False?
Answers
Answer:
true because when you add negatives it's the same as subtracting, so, you're just going further negative
What is 5=-2/3x+b X=4
I’ll give Brainlylist
Answers
Answer:
b = 23/3
Step-by-step explanation:
5 = -2/3(4) + b
5 = -8/3 + b
5 + 8/3 = b
b = 23/3
Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved.
Answers
Answer: 36
Step-by-step explanation:
Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.
If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)
12 = 2 x 2 x 3
18 = 2 x 3 x 3
LCM (12, 18) = 2 x 2 x 3 x 3 = 36
Hence, the smallest number of books each could have shelved = 36
Answer:
36
Step-by-step explanation:
nrly
Giving brainlest plz help me fast!!! I know this is physics but its also math (Look its math in science ok)
Interpreting Velocity vs Time Graphs
A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 3 straight segments. Line segment A runs from 0 seconds 0 meters per second to 4 seconds 40 meters per second. Then segment B runs to 9 seconds 40 meters per second. Then segment C runs to 10 seconds 10 meters per second.
Use the graph to determine acceleration and velocity.
Which segments show acceleration?
What is the velocity of segment B?
Choices for the first question:
A. A and B
B. A and C
C. B and C
Choices for the second question:
A. 8 m/s
B. 10 m/s
C. 40 m/s
D. - 40 m/s
Answers
Answer:
The velocity is being plotted. The velocity value indicates how fast the object is moving.
Step-by-step
C on the first one and C on the second one lol
Give brainlest PLZZZ
Answer:
its b to 9 seconds 40 meters per second
Step-by-step explanation:
the test was right
25 POINTS AND BRAINLIEST
Answers
Answer:
-2.4
Step-by-step explanation:
-54/22.5= -2.4
If it went down 54 degrees in 22.5 minutes, then you do -54/22.5, which gives you -2.4. So the temperature went down 2.4 F each minute. I think.
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
A Plus Plumbing
Step-by-step explanation:
60(2)+80 = 120+80 = 200 < 250
Answer:
A- plus plumbing
Step-by-step explanation:
hope this helps
The volume of an Amazon package is given by the function below.
8x^3+30x^2+13x−15
A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?
B. Using the volume formula, find the height of the package. (V=lwh)
Please show work
Answers
Answer:
Step-by-Step Explanation:
Area of the base = length × breadth
= (4x + 5) (x + 3)
= 4x(x + 3) + 5(x + 3)
= 4x² + 12x + 5x + 15
= 4x² + 17x + 15
_____________________________________
Volume = length × breadth × height
8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h
[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]
I need the measure of angle 6
Answers
Answer:
125°
Step-by-step explanation:
x + 24 is equal to 1.
6 is equal to 4x + 1
1 and 4x + 1 = 180°
x + 24 + 4x + 1 = 180
4x + x + 24 + 1 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
5x/5 = 155/5
x = 31
(angle) 6 = 4x + 1
(angle) 6 = 4(31) + 1
(angle) 6 = 124 + 1
(angle) 6 = 125°
Which triangles are similar A or b? I need help.
Answers
Answer:
A!
Step-by-step explanation:
A small frog is
inch long. A larger frog is 4 = times as long. How long is the larger frog?
PLS ANSWERS
Answers
the frog will be 4 inches long
Solve x2 + 32x = –255 by completing the square.
Question 8 options:
x = –17 and x = –15
x = –17 and x = 15
x = 15
No Real Solutions
Answers
Answer:
-15, -17
Step-by-step explanation:
x^2 + 32x = –255 move the -255 to the left
x^2 + 32x +255=0
What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32
(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17
x= -15, -17
1/2x+y = 3
y = 3x + 10
Solve using substitution
Answers
Answer:
(-2,4)
x = -2 y = 4
I hope this helps
how important is writing the polynomial in standard form when dividing polynomial
Answers
What is the equation to a line with a slope of -3 and a y-intercept of 8?
Answers
Answer:
y=-3x+8
Step-by-step explanation:
y=mx+b
(m=slope and b=y-intercept)
Answer:
Step-by-step explanation:
let’s use this equation y = mx + b
where m = slope
and b = y intercept
since slope is -3, m = -3
and since y intercept is 8, b = 8
so the equation is
y = -3x +8
SOS!! Please help, I have no idea what I'm doing smh
Answers
Answer:
slope of st is -0.25
slope of tu is 1
slope of us is -0.25
slope of sv is 1 so it is a parallelogram. the slope of the parallel lines needs to be the same to be a parallelogram. to find the slope, you need to find the change from the points of the referenced line, for example, slope of st you would label each point as x1, y1 and x2,y2. it does not matter which one you label and you can change them for each different line. you would then find the difference by subtracting (y2-y1) divided by (x2-x1) so 4-3=1 and 1-5 is -4. you then divide 1/-4 is -0.25. you the follow the steps for each line. is the parallel lines have the same slope, it is a parallelogram
help plzzzzz i needs halp!
Answers
Answer:
4000
Step-by-step explanation: