Answer:
ii cud givee uu an explanation for understandment for help if still don't understand im sowwyy thenn.
Step-by-step explanation:
It is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
Geometric sequence can model the considered situation. The number of bacteria in 18 hours for the considered situation will be 264
What is a geometric sequence and how to find its nth terms?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.The second parameter is the quantity by which we multiply previous term to get the next term.The third parameter is the length of the sequence. It can be finite or infinite.Suppose the initial term of a geometric sequence is [tex]a[/tex] and the term by which we multiply the previous term to get the next term is [tex]d[/tex]
Then the sequence would look like
[tex]a, ad, ad^2, ad^3, ad^4,...[/tex] (till the terms to which it is defined)
Thus, the nth term of such sequence would be
[tex]T_n = ad^{n-1}[/tex]
We can model the given situation with the geometric sequence since each previous count is being doubled(multiplied by 2) per 4 hours.
We're given initial number of bacteria = a = 22
Each new element will be denoting number of bacteria after 4 hours from previous count.
So, from 0 to 16 hours, there are four set of 4 hours. Thus, n = 4
Since number of bacteria are doubling, thus, d= 2
We get fourth term = number of bacteria after 16 hours
[tex]T_n = a(d)^{n-1} = 22 \times (2)^3 = 176[/tex]
Now, in the last 2 hours, assuming that if x -> 2x in 4 hours(which is increment of x), then in 2 hours, only x/2 must be incremented.(assuming linear growth in each 4 hour group).
Thus, after 18 hours, 176 + 176/2 will be the number of bacteria.
Thus, Number of bacteria after 18 hour for the given case = 176 + 88 = 264
Learn more about geometric sequence here:
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1-56-3, what is the value of b?
-2
D-1
0 1
2
Answer:
A
Step-by-step explanation:
abcdefj tu madre
Cait can bike 32 miles in the same amount of time that Carl can bike 24 miles. If Cait bikes 2 mph faster than Carl, how fast does Cait bike?
Let t = time in hrs for both to go 32 mi
Let s = Carl's speed in mi/hr
s + 2 = Caits speed in mi/hr
------------------------------------------------------------
Carl's equation:
(1) 24 = s · t
Cait's equation:
(2) 32 = (s+2) · t
-----------------------------------
(2) 32 = s · t + 2t
and
(1) s = 24/t
Plug (1) into (2)
(2) 32 = (24/t) · t + 2t
(2) 32 = 24 + 2t
(2) 2t = 8
(2) t = 4
and
(1) s = 24/4
(1) s = 6
The speed of Cait is 8 mph
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.
Let x be the time in hours for both to go 32 miles
Let y be Carl's speed
Then Caits speed is = y+ 2
So, Carl's equation:
x y= 24
and, Cait's equation:
32 = (y+2) · x
32 = xy + 2x...............(1)
and, y = 24/x
Put the above value in equation (1)
(24/x) x + 2x = 32
2x+ 24 = 32
2x= 8
x=4
Also, y= 24/x= 24/4 = 6
Hence, speed of Cait is 8 mph
Learn more about Algebra here:
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#SPJ2
What is 30+X=180,what is the measurement for
Answer:
X=150
Step-by-step explanation:
30+x=180
30+(-30)+x=180+(-30) Get x by itself by subtracting -30 to both sides.
x=180-30
x=150
Dan gets paid $46,925 a year. If he gets paid biweekly, how much does he make per pay period.
Answer:
$1804.81
Step-by-step explanation:
There are approximately 52 weeks in a year.
If he gets paid biweekly, he gets paid every 2 weeks.
52/2 = 26
He gets paid 26 times per year.
$46,925/26 = $1804.81
need help in pre algebra plz
The first one is d I believe and The second is B and C
I dont know the rest
How do I do 1 and 2
Because I don’t understand how too
4.68x10^6x2.6x10^2
Please help
Hard question but took my time and i have come up with 1216800000
Last month, Ben rode his bike 24 miles a week for 4 weeks. This month, Ben ride his bike 28 miles a week for 3 weeks. How many miles did Ben ride his bike in all?
Answer:
180
Step-by-step explanation:
Multiply 24x4=96
Then, multiply 28X3=84
Finally add the 2 for a total of 180
Answer:
180 miles
Step-by-step explanation:
Basically, if he rode his bike 24 miles each week and he rode it for 4 weeks you would multiply 24 times 4, which gives you 96 miles. Then, you would do the same for the 28, 28 times 3 gives you 89 miles. Lastly, you add it all up. 96+89= 180 miles
:)
Need answer please !!
Answer:
the circle is shades 28247252
pls help im so desperatae
Answer:
7 years old
Step-by-step explanation:
Let Maggie's age be x
Let Maggie's brother's age be 4x-4
x+4x-4= 31
5x = 35
x = 7
Help asap!!! I will give brainliest, see attached screenshots!
Answer:
sorry I only know the first page but i couldn't just comment it because of the squares
in order
[tex](3bc)^{2}[/tex]
[tex](10mn^{3})^{2}[/tex]
Maria import special clay pots from Brazil. A shipment of 50 pots cost her $350. She then sells the pots at local fairs and art shows. On her last shipment she made a profit of $750. (1) What is the cost of 1 clay pot? (2) what is the total amount of sell in order to make the profit? (3) How much does she need to sell each pot in order to make the profit?
Answer:
Q 1) 7$ Q 2) 50 Q 3) 15$
Step-by-step explanation:
1) The cost of 1 claypot = $7
2) Total amount sold to yield the given profit = $1100
3) Amount to sell each pot to make the given profit = $22
We are given that;
Cost of 50 pots = $350
1) Since 50 pots costs $350, the cost of one pot will be;Cost of 1 clay pot = 350/50 = $7 per clay pot
2) She made a profit of $750 on the 50 pots.This means amount she sold in order to make the profit will be;
$350 + $750 = $1,100
3) Since total amount she sold to make the profit is $1,100, then amount each pot was sold to yield that profit on the 50 clay pots will be;1100/50 = $22 per pot
Read more at; https://brainly.com/question/21364882
WHATS THE SLOPE OF THE LINE HELP ILL GIVE BRAINLIEST
Answer:
-1/2
Step-by-step explanation:
the slope is crossing right about -1 but in the middle
solve 124.01 plus 12.001
Answer:
136.011
Step-by-step explanation:
124.01 + 12.001= 136.011
Hope this helps!
Answer:
136,011
Step-by-step explanation:
124,01 + 12,001
= 136,011
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Please help me on my homework
Answer:
tge answer is -8
Step-by-step explanation:
-14+8-5+8-2-3=-8
What is the problem for this Problem?
Answer:
Negative: (-∞,-3] and [1/2,-∞)
Positive: [-3,1/2]
Step-by-step explanation:
The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.
Write the quadratic equation that has roots (-1-square root 2)/3 and (-1+square root 2)/3 if its coefficient with x^2 is equal to... 1
9514 1404 393
Answer:
x² +2/3x -1/9 = 0
Step-by-step explanation:
The quadratic with roots p and q can be written as ...
(x -p)(x -q) = 0
x² -(p+q)x +pq = 0
For p=(-1-√2)/3 and q=(-1+√2)/3, we have ...
p +q = (-1-√2)/3 +(-1+√2)/3 = -2/3
pq = ((-1-√2)/3)((-1+√2)/3) = (1 -2)/9 = -1/9
Then the quadratic is ...
x² +2/3x -1/9 = 0
Can someone explain how you do this and not only give me a answer?
Got it! Here you go!
Step-by-step explanation:
It seems you already know that you need to do 17-2/3(not two thirds, just over 3.)
The horizontal line means divide, so you will be dividing by 3. First, though,, you do...
17-2(which is 15)
and then divide it by 3.
15/3=5
Your answer is 5.
I hope I helped! Have a great day.
A child is spinning a rock at the end of a 2 foot rope at a rate of 180 revolutions per minute. What is the approximate linear velocity of the rock when it is released.
Answer:
A child is spinning a rock at the end of a 2-foot rope at the rate of 180 revolutions per minute (rpm).
Step-by-step explanation:
Can someone help in this ?
Answer:
Aalu le aalu
Step-by-step explanation:
baigan lele
Answer:
6
Step-by-step explanation:
-7+140/10-1 = 14-8=6
You ride your bike 1 3/10 mi to school. At the end of the day, you stop at a park on the way home. The park is 25 mi from school. Question : how far is the park from your house
Answer:
did u ever get the answer? if so what is it??
Step-by-step explanation:
someone help please!!
Answer: x=60 degrees
Step-by-step explanation: This triangle is an equilateral triangle, meaning all angles are equal. Since a triangle is 180 degrees total, 180 degrees/3 angles= 60 degrees each angle.
The customers of Rhythm Time, an online music service, downloaded 3,790 songs last year. This year, the number was 20% higher. How many songs did they download this year?
Answer:
It should be 4,548
Step-by-step explanation:
Answer:
25 baby
Step-by-step explanation:
f(x)=2x-1 and g(x)=6x-2. Write a formula for (fg)(x)
What is the length of the red line segment on the number line?
Answer:
The length is 8 because from mins 7 to 1 there a distance of 8
Mark works at a clothing store and earns a salary of $1.500 per month. In addition, he earns 20% commission on his total sales. Last month, Mark's clothing sales was
$2.600 What was his total income for the month?
$300
$520
$1,800
$2.020
Answer:
$2.020
Step-by-step explanation:
If you take 20% of 2.600, that gives you the equation 2.600/5 = x (should get 520
Add that to the base salary of 1.500 and that gets 2.020
Hope that helped :)
HEYY I am posting random questions so whoever answers gets brainliest and a few points since the questions aren't hard!!
what is 600 x 75?
Answer:
45000
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
4500
Step-by-step explanation:
What is the effective annual rate for an APR of 15.80 percent compounded monthly?
i don't know how to do math lol
9514 1404 393
Answer:
(d) 9
Step-by-step explanation:
The relation you're supposed to apply here is ...
an exterior angle of a triangle is equal to the sum of the remote interior angles.
__
The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.
17x +7 = 13x +3 +40
4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides
x = 9 . . . . . . . . . divide both sides by 4