A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer:
Step-by-step explanation:
The population of bacteria in the culture after 7 hours is approximately 883.
What is an exponential function?Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.
Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:
Since the initial population is 470, we have P₀ = 470.
The doubling time is 8 hours, so we have d = 8.
Substituting these values into the formula, we get:
[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]
P₇≈ 882.77
To know more about an exponential function follow
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The probability that a randomly selected student is a girl is 0.52, and the probability that a student is a girl and in an art class is 0.20. Giver that a student is a girl, what is the probability she is in an art class?
0.20
0.32
0.38
0.52
Answer: The answer is 0.38
Step-by-step explanation:
Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."
It's given that the probability that a student is a girl is 0.52.
However, in the question, it said that it's given a student is a girl.
You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.
"They kept on talking and kept on ooohing and aahing and Grandma Sands kept on interrupting breakfast..." (p 166) is an example of... *
5 points
personification
allusion
metaphor
onomatopoeia
Onomatopoeia: Imitate the sounds they describe.
7. Find the area 12 in 11.5 in 12 in
Pleaseee help (no links)
Answer:
1/8(smallest), 3/4(greatest)
Step-by-step explanation:
3/8=0.375
1/4=0.250
1/8=0.125
1/2=0.500
3/4=0.750
5/8=0.625
write the sentence as an inequality. a number b is less than or equal to -4 or greater than 0.
Step-by-step explanation:
[tex]0 \leqslant b \leqslant - 4[/tex]
it should look like that
How did the North or South benefit from this difference
Answer:
Can i get an image of thw question please?
Step-by-step explanation:
North
The northern soil and climate favored smaller farmsteads rather than large plantations. Industry flourished, fueled by more abundant natural resources than in the South, and many large cities were established (New York was the largest city with more than 800,000 inhabitants). By 1860, one quarter of all Northerners lived in urban areas. Between 1800 and 1860, the percentage of laborers working in agricultural pursuits dropped drastically from 70% to only 40%. Slavery had died out, replaced in the cities and factories by immigrant labor from Europe. In fact an overwhelming majority of immigrants, seven out of every eight, settled in the North rather than the South. Transportation was easier in the North, which boasted more than two-thirds of the railroad tracks in the country and the economy was on an upswing.
Far more Northerners than Southerners belonged to the Whig/Republican political party and they were far more likely to have careers in business, medicine, or education. In fact, an engineer was six times as likely to be from the North as from the South. Northern children were slightly more prone to attend school than Southern children.
South
The fertile soil and warm climate of the South made it ideal for large-scale farms and crops like tobacco and cotton. Because agriculture was so profitable few Southerners saw a need for industrial development. Eighty percent of the labor force worked on the farm. Although two-thirds of Southerners owned no slaves at all, by 1860 the South's "peculiar institution" was inextricably tied to the region's economy and culture. In fact, there were almost as many blacks - but slaves and free - in the South as there were whites (4 million blacks and 5.5 million whites). There were no large cities aside from New Orleans, and most of the ones that did exist were located on rivers and coasts as shipping ports to send agricultural produce to European or Northern destinations.
Only one-tenth of Southerners lived in urban areas and transportation between cities was difficult, except by water. Only 35% of the nation's train tracks were located in the South. Also, in 1860, the South's agricultural economy was beginning to stall while the Northern manufacturers were experiencing a boom.
A slightly smaller percentage of white Southerners were literate than their Northern counterparts, and Southern children tended to spend less time in school. As adults, Southern men tended to belong to the Democratic political party and gravitated toward military careers as well as agriculture.
An ice cream store sells 5 drinks, in 3 sizes, and 3 flavors. In how many ways can a customer order a drink?
Answer:
45 ways
Step-by-step explanation:
5*3*3 = 45
Answer:
45
Step-by-step explanation:
5*3*3
5*3=15
15*3=45
a market research company surveyed 1500 teenage cell phone owner's the company learned that 4/5 of them use cell phone data services how many teenagers surveyed use cell phone data services
Given ABCD, AC = 22, AE = 2x - 5, find the value of x.
x=8
Step-by-step explanation:
the value of x is 8
so your answer is x=8
Timmy and Sarah head out to dinner and Garfinkels in Vaile. Timmy brings $40 with him. If buy two French Dips costing $10.95 a piece and two sodas costs $1.95 each, how much does Timmy have left if there is a 6% sales tax and they tip 20% on the food including the sales tax
Answer:
$3.80
Step-by-step explanation: :)
I need the mean, medium, and the mode for these numbers [4,10,11,15,16,16,18,19]
Hello here would be your answers:
mean: 13.6
mediun: 15.5
mode: 16
remember it like this
Mean is the average
Mode is the most often number
Range is when you subtract the smallest number from the largest number
Medium is the middle number when you line it up from the greatest to the least.
hope this helps!
Help what is the correct answer *answer and questions attached*
Answer:
B
Step-by-step explanation:
If u had two basketball and he had two basketball how much balls would you have in all
Answer:4
Step-by-step explanation:
Answer:
There's 4 basketballs.
2 + 2 = 4
) Find the area of the shape.
Answer:
1/2Bh
Step-by-step explanation:
u never said we had to answer
Hey guys, I really need help with this question!Please no links, or I will report! Dont answer if you dont know please!
How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.
Answer:
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀
Step-by-step explanation:
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
find the surface area .NO FILES #2
Answer:
486
Step-by-step explanation:
The solid is a cube. The faces of a cube are 6 congruent squares.
side = 9 ft
surface area = 6 * side²
SA = 6 * (9 ft)²
SA = 486 ft²
Find the measure of x. (to the nearest tenth)
I= $169.67,P= $2000,t= 8 months
If ur trying to find the rate its 12.7252%
Step-by-step explanation:
Solve the inequality write the answer in interval notation 5x<10 or 15-x<7
Answer:
[tex]\left \{ {{x<2} \atop {y>8}} \right.[/tex]
Step-by-step explanation:
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 91', what is the
measure of ZQRS?
mZQRS = [?]°
Answer:
Solution given:
<ABC and <QRS are supplementary angles.
<ABC = 91°
we have
<ABC +<QRS=180°[supplementary]
<QRS=180°-91°=89°
m<QRS=89°
expand and simpify (x+4)(x-7)
Answer:
x^2 - 3x - 28
Step-by-step explanation:
(x+4)(x-7)
x^2-7x+4x-28
[tex]x^{2}-3x-28[/tex]
Please help in lost. :(
Burger king can make burgers at a rate of 4 burgers/minute. In order to address the heavy volume of customers, they need to continue at this rate for 15 minutes. If they continue to make burgers at this rate, how many hamburgers will Burger King make in 15 minutes?
Answer:
60
Step-by-step explanation:
This is 4x15.
60 Burgers.
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answer:
The last answer choice
Step-by-step explanation:
Interpretation of internet users
Middle East - about 100 million
North America - about 250 million
Europe - about 500 million
Asia - over 1 billion
Now lets look back at the question.
If Africa has 170 million internet users, according to the graphs, which statement is true.
"Africa has fewer users than the middle east"
This is false as Africa has 170 million users whereas The middle east has about 100 million users
170 mil > 100 mil therefore the statement is false
"Africa has more users then Asia"
This is also false as Asia has the most internet users at 1 billion
Africa has no where near as many users at 170 million users therefore the statement is false
"Africa has more users than Europe but fewer than Asia."
We have already identified that Africa has fewer users than Europe so this one could be it if the other part is true.
"Africa has more users than Europe" This is false as Europe has 500 million internet users while Africa only has 170 million users
Therefore this statement is false
"Africa has more users than the Middle East but fewer users than North America."
Africa has more internet users than the Middle East ( 170 mil > 100 mil ) and fewer users than North America ( 250 mil > 170 mil )
therefore this is the correct statement
If 18 is 45% what is 100%
need help ASAP any random answers just for points will be reported
Answer: 45
Step-by-step explanation:
Solution for What is 45 percent of 100:
45 percent * 100 =
(45:100)* 100 =
(45* 100):100 =
4500:100 = 45
Now we have: 45 percent of 100 = 45
Question: What is 45 percent of 100?
Percentage solution with steps:
Step 1: Our output value is 100.
Step 2: We represent the unknown value with $x$x.
Step 3: From step 1 above,$100=100\%$100=100%.
Step 4: Similarly, $x=45\%$x=45%.
Step 5: This results in a pair of simple equations:
$100=100\%(1)$100=100%(1).
$x=45\%(2)$x=45%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{100}{x}=\frac{100\%}{45\%}$
100
x=
100%
45%
Step 7: Again, the reciprocal of both sides gives 45
$\frac{x}{100}=\frac{45}{100}$
x
100=
45
100
$\Rightarrow x=45$⇒x=45
Therefore, $45\%$45% of $100$100 is $45$
Answer:
40
Step-by-step explanation:
I like to find common factors.
45% and 18 are both divisible by 9.
so
45% ÷ 9 = 5%
18 ÷ 9 = 2
2 is equal to 5%
100% ÷ 5% = 20
so
20 × 2 = 40
100% = 40.
Please help very urgent
Answer:
Amplitude = 5.5 units
Domain = All Real Numbers
Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.
Convert: 11,000 feet = miles and feet
5 + x = 7.5 what is x?
Answer:
2.5
Step-by-step explanation:
Answer:
5 + x = 7.5
x = 7.5 - 5
x = 2.5
Step-by-step explanation:
•°•°•°•°•°•°•°•°•
b) Is the relation a function? Use the vertical line test to decide.
Answer:
Step-by-step explanation:
The answer is A U just did that on Khan academy
Answer: A
Step-by-step explanation: