A population of bacteria grows according to the function p(t) = po · 1.42, where t is measured in hours. If
the initial population size was 1,000 cells, approximately hoy long will the it take the population to exceed 10,000
cells? Round your answer to the nearest tenth.
Answer:
The time duration for the population to exceed 10,000 is approximately 6.6 hours
Step-by-step explanation:
The given equation for the population of a bacteria is presented as follows;
[tex]p(t) = P_0 \cdot 1.42^t[/tex]
Where;
t = The time duration in hours
The initial population of the cells = 1,000
Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0
∴ P(0) = 1,000 = P₀ × 1 = P₀
P₀ = 1,000
When the population is 10,000, we have;
P(t) = 10,000 = 1,000 × 1.42^t
∴ 1.42^t = 10,000/1,000 = 10
㏒(1.42^t) = ㏒(10) = 1
∴ t × ㏒(1.42) = 1
t = 1/㏒(1.42) = 6.56649071898
∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.
Mrs. People purchased Sandwiches at 2 for $6.00 and Donuts for $2.00 a package. She spent $19 for a total of 7 items. How many sandwiches and donuts did she buy?
Answer:
2. 1. 3. 3 6 . b. Classify the system, and tell how many solutions it has. 6. ... She spent the entire amount on songs, ... number of music videos Mariana bought. 7. A chemist needs to mix a 2% acid solution and a ... sandwich spread. ... Use the given matrices for Items 13–20. A ... person sold and the amount of money collected.
Step-by-step explanation:
Terme und Gleichungen in die Alltagssprache übersetzen
197
Was bedeutet dieser Term? Schreibe einen passenden Text dazu an.
a) 5•uDas Fünffache einer Zahl
b) z + 12
c) a : 2 - 4
d) i•9
2
e) 34 + 7•V
f) (p - 7)•3
Step-by-step explanation:
find the points of intersection of the parabola 4y squared + 8 y - 16 x equal to 12 in the line x equals to 3
Which of the following add carbon dioxide to the atmosphere
Answer:
Carbon dioxide is added to the atmosphere naturally when organisms respire or decompose (decay), carbonate rocks are weathered, forest fires occur, and volcanoes erupt. Carbon dioxide is also added to the atmosphere through human activities, such as the burning of fossil fuels and forests and the production of cement.
Step-by-step explanation:
Answer:
Step-by-step explanation: The first one on the left
In the diagram, △ABC∼△CDE. Write an equation for line k
Answer:
Step-by-step explanation:
Line AB is parallel to line CD (k) so they have the same slope.
slope=m=(y2-y1)/(x2-x1)
m=(6-0)/(4-0)
m=6/4=1.5
y=mx+b, we know m=1.5 so
y=1.5x+b, and we know it passes through point (4,0) so we can solve for b
0=1.5(4)+b
0=6+b
b=-6 so line k is
y=1.5x-6
I need help with a math question. Plz help will mark Brainliest. Here is the link to the math picture.Oh and Find the Value of X
Answer:
the correct answer is B. hope this helped
need help on my geomrty homework
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Answer:
You like to lift weights!!!!
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Work out the volume of this cylinder? 28mm height and 30mm base. Who answers this early and first is the brainliest
Answer:
19,792.0mm³
Step-by-step explanation:
π×radius²×height
π×15²×28=19792.03372 rounded to 1dp would ne
19,792.0mm³
the diameter is 30, which is also the base divide by two which makes 15 which will be your radius of your circle.
.
Sydney has a points card for a movie theater,
She receives 35 rewards points just for signing up.
She earns 5.5 points for each visit to the movie theater,
She needs at least 90 points for a free movie ticket.
Which inequality can be used to determine w, the minimum number of visits Sydney
needs to earn her first free movie ticket?
Answer:
35+5.5w>90
Step-by-step explanation:
35+5.5x>90
it would be this sign > but with a line under it..the amount of points she racks up can be greater or equal to 90
Need this !!!! Badly
Answer:
78
Step-by-step explanation:
Combine like terms for the following expression:
-3x +14 - 11+ 11x
Someone please help me I’ll give out brainliest please don’t answer if you don’t know
Answer:
-2x
Step-by-step explanation:
-x + 1 - (1 + x)
-x + 1 -1 -x
-2x
Find the slope of the line that passes through the pair of points (6,-2) and (5,-4).
Show all work necessary and write your final answer in the box.
Answer:
slope = -10/7Step-by-step explanation:
co-ordinates = (6,-2) (5,-4)
slope = (y² - y¹) / (x² - x¹)
slope = (-4 - 6) / (5 - (-2))
slope = (-10) / (5+2)
slope = (-10) / 7
slope = -10 / 7
Answer:
10/7
Step-by-step explanation:
Please will anyone help me out with this math problem? I will give them a crown.
Answer:
a. 450 b. 10078.9097
Step-by-step explanation:
a. go with the formula W=FD
F= force
W= work done
D= distance
b. go with the formula F=mgcos(x)
M= mass
G= gravity constant (9.8)
then get to the normal formula of W=FD after getting the Force
What value of x satisfies the equation below?
[tex]\frac{-2x - 6}{5} = 4[/tex]
Answer: -13
Step-by-step explanation:
1. Isolate x: move 5 to the otherside
=> -2x-6=4*5 => -2x-6=20
2. Move 6 to the otherside: -2x=20+6 => -2x=26
3. Divide both sides by -2
=> x=26/-2 => x=-13
Have a nice day! :D
Jim's parents keep a chart on the wall where they mark how much Jim grows each year. When Jim was 15, he grew 1/4 of an inch and when he was 16, he grew 1/2 of an inch. In total, how much did Jim grow in during those two years?
Answer: 3/4 inch
Step-by-step explanation:
When Jim was 15, he grew 1/4 of an inch and when he was 16, he grew 1/2 of an inch.
His growth during those two years will be:
= 1/4 + 1/2
= 1/4 + 2/4
= 3/4 inch
His growth increased by 3/4 inches.
Luis saved 5/8 of his pay. What percent of his pay did he save?
JUST ANSWER RIGHT NOTHING ELSE 25 POINTS!!! plEase thank you
Answer:The heck i aint on that im close though
Step-by-step explanation:
PLEASE HELPPPP ASAP!!!! I REALLY NEED IT! WILL MARK BRAINLIEST!!!!
I PUT ALL MY POINTS INTO THIS QUESTION
Answer:
3.3
Step-by-step explanation:
d = (10 - 4) + (8 - 3)
d = 6 + 5
d = square root of 11
d = 3.31662479 or 3.3
I'll be expecting that brainliest :)
this might be easy who knows
Answer:
w= -12
Step-by-step explanation:
hope this helps :)
I NEED HELP ASAP
the table shows how much jose earns at his part-time job. at the rate he is paid,how much would jose make if he worked 9 hours
I think the answer is Class B
Answer:
Its B
Step-by-step explanation:
see if you divided all the classes money by their students you take the biggest amount from each class and that is your answer
Miles read 4 books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than 10 books in a month.Let x represent how many books Miles read in the second half of March. Which inequality describes the problem?
Answer:
[tex]x>6[/tex]
Here, [tex]x[/tex] denotes number of books read by Miles in the second half of March
Step-by-step explanation:
Given: Miles read 4 books in the first half of March.
Also, Miles read more than 10 books in a month.
[tex]x[/tex] denotes number of books read by Miles in the second half of March.
To find: inequality that describes the problem.
Solution:
Total number of books read in month of March = Number of books read by Miles in the first half of March + Number of books read by Miles in the second half of March = [tex]4+x[/tex]
Also, Miles read more than 10 books in a month.
Therefore,
[tex]4+x>10\\x>10-4\\x>6[/tex]
solve the inequality
Solve please. Correctly
3(1 - 2a) = -3a - 18
Answer:
a = 7
Step-by-step explanation:
3(1 - 2a) = -3a - 18
3 - 6a = - 3a - 18
Add 18 to each side:
3 + 18 - 6a = - 3a - 18 + 18
21 - 6a = - 3a
Add 6a to each side:
21 - 6a + 6a = - 3a + 6a
21 = 3a
3a = 21
Divide each side by 3:
3a ÷ 3 = 21 ÷ 3
a = 7
Read the excerpt from "What to the Slave is the Fourth of July?”
The feeling of the nation must be quickened; the conscience of the nation must be roused; the propriety of the nation must be startled; the hypocrisy of the nation must be exposed; and its crimes against God and man must be proclaimed and denounced.
How does the repetition of the word “must” affect the tone of the piece?
The repetition shows that the speaker is concerned about something.
The repetition draws attention to the speaker’s anger.
The repetition suggests that the speaker is intimidating and demanding.
The repetition intensifies the speaker’s sense of urgency.
Answer:
The repetition intensifies the speaker's sense of urgency.
Step-by-step explanation:
Answer:
D The repetition intensifies the speaker’s sense of urgency.
Step-by-step explanation:
The repetition intensifies the speaker’s sense of urgency.
please help with this! i will mark the best answer brainliest. (image included)
Answer:
6 units
Step-by-step explanation:
A'B'C' is equal to ABC
What is the mass in kg of a
solid metal cuboid with
dimensions 4cm, 5cm and
3cm and a density of
20g/cm3
Answer:
work out the area which is 4x5x3 this being 60 then divide this by 20 to get 3
The answer is 3kg
Answer:
[tex]density = mass \div volume \\ 20 = x \div 4 \times 3 \times 5 \\ 20 = x \div 60 \\ 20 \times 60 = x \\ x = 1200 \\ 1200 \div 1000 = 1.2kg[/tex]
What are the coordinates of the image of AABC after a dilation with center (0,0) and a scale factor of 3?
Answer:
factor of 3
Step-by-step explanation:
The sum of 3 and y is greater than 10
Answer:
3 + y > 10
Step-by-step explanation:
Is your expression.
Just use the keywords the sum of and greater than.
need help with this please
Answer:
-2/5
Step-by-step explanation:
Exactly the opposite of the sign, opposite of + is negative (-)