Step-by-step explanation:
so, what is the question ?
all you are giving us here are some facts about what's going on. but what is the goal ? what do we need to find out ?
is it when the bacteria cultures have the same population ?
I assume that for my following answer :
"once every 2 hours" can be expressed by "x/2". with x being hours. so, instead of "x", which would mean "once every hour", we use "x/2".
"doubles (once) every 2 hours" is then
2×2×2×...×2 doubles on how many units of 2 hours we have.
this is
2^(x/2)
this is the factor we need to multiply with everything we want to behave that way (to double in size every 2 hours).
in our case here : 50 bacteria.
so, Colby's bacteria culture function is
c(x) = 50 × 2^(x/2)
similar for jaquan:
j(x) = 80 × 2^(x/3)
as his culture doubles every 3 hours.
now for the assumed question, when will both cultures have the same population ?
it is for that value of x that makes both function to deliver the same functional result.
50 × 2^(x/2) = 80 × 2^(x/3)
5 × 2^(x/2) = 8 × 2^(x/3)
now we use the log2 function on both sides and get
log2(5 × 2^(x/2)) = log2(8 × 2^(x/3))
remember the laws of logarithm. particularly
log(a×b) = log(a) + log(b)
and
loga(b) = logc(b)/logc(a)
log2(5) + log2(2^(x/2) = log2(8) + log2(2^(x/3)
log2(5) + x/2 = log2(8) + x/3 = 3 + x/3
3×log2(5) + 3x/2 = 9 + x
2×3×log2(5) + 3x = 2×9 + 2x
6×log2(5) + 3x = 18 + 2x
x = 18 - 6×log2(5) = 18 - 6×ln(5)/ln(2) = 4.068431431... hours
so, after a little bit more than 4 hours both bacteria cultures reach the exact same number of population : 204.8
which is, of course, only theoretical, as there cannot be "part bacteria" in the cultures.
now, we could calculate the x for when c(x) = 204, and the x for when c(x) = 205.
and then the same for j(x) and then see if or what overlap between these two x intervals there is.
during this overlap period both cultures will have the same (whole number) amount of bacteria.
but I think this is a topic for another question, as I am not even sure that I addressed the true original question.
the vertex of a parabola is located at (-2,5). If the parabola has a y-intercept of -27, which quadratic function represents the parabola in standard form? y=a(x-p)^2 +q
Answer:
f(x) = -8(x + 2)² + 5Step-by-step explanation:
y = a(x - p)² + q - the vertex form of an equation of a parabola with a vertex (p, q)
(-2, 5) ⇒ p = -2, q = 5
y = a(x + 2)² + 5 - the vertex form of an equation of the parabola with vertex (-2, 5)
y-intercept of -27 means x=0, y=-27
-27 = a(0 + 2)² + 5
-27 -5 = a(2)² + 5 -5
-32 = 4a
a = -8
The equation of the parabola in vertex form that has a vertex (-2, 5) and y-intercept of -27:
f(x) = -8(x + 2)² + 5
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
You subtract the lowest point from the highest point.
Lowest Point = 6 because the lowest y value the graph reaches is 6
Highest point is 12
12 - 6 = 6.
This is the positive difference in feet (because the graph already states on the left column that the values are depth in feet) between the greatest water depth and least water depth in the graph.
Select the expression equivalent to (8. 4x+2. 9)+(−3. 7x+5).
Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRAINLIEST
NEED HELP NOW WITH MATH!!!! points 10
Answer:
D
Step-by-step explanation:
I tried the last one and it did not work so maybe D
Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!
Answer:
Transitive Property
Step-by-step explanation:
Let's define the following word bank answer choices:
Complementary Angles ⇒ Angles that add up to 90 degree
Vertical angles ⇒ pair of opposite angles formed by intersecting lines
Reflexive Property ⇒ equality states that a number is always equal to itself
Transitive Property ⇒ All real numbers x ,y, and z, if x=y and y=z , then x=z.
Solve:
Base on the given we know that it not complementary angles because it doesn't form 90 degree (right angle).
We Also know that it not vertical angles because it doesn't shows angles opposite each other where two lines cross.
In addition, the given doesn't shows If a is a number, then. a = a. a=a.
Thus, Transitive Property is the answer.
[RevyBreeze]
find the 2 and the 4
Answer:
101°
Step-by-step explanation:
angle 5 = angle 3(interior alternate angles)
so angle 2 = 101
angle 2=angle 4 = 101°(vertically opposite angles)
Yesterday, I ran less than 5 kilometers but more than. 1,200 meters. How far could I have run?
40% of the girls and 60% of the boys in high school play football or basketball.
What percentage of students in the school can it be that are playing these sports?
2. E
Kim baked 20 cookies. Her friend Amy
ate 4 cookies, and her brother ate 2
of the cookies. Which expression can
Kim use to find out how many cookies
are left?
a.
a.
20+ (4 + 2)
b. 20 - (4 + 2)
(20 - 4) + 2
d. 20 - (4-2)
b.
C.
d.
Answer:
20-(4+2)
Step-by-step explanation:
So since they are eating, they are taking away, or subtracting.
Answer:
20 - (4 + 2)
Step-by-step explanation:
The original amount is 20.
The number of cookies left is the original amount minus the amount that was eaten.
Amy ate 4 cookies.
Her brother ate 2 cookies.
Amount that was eaten: 4 + 2
Amount left = original amount - amount that was eaten
amount left = 20 - (4 + 2)
I need help with this please
7.62 X 10 to the -6th power goes to the third one
7.62 X 10 to the 5th power goes to the second
and 7.62 X to the -4th power goes to the fourth
and i think you have the first one right!
i really hoped this helped you
If c is a number with no exponent, what is the value of c in the equation below?
4^7/4^3 = a^b=c
Answer:
c = 256
Step-by-step explanation:
Good Luck :)
Hey can someone help me.
Thanks!
Which of the following are equivalent to 5m(m+3) - 2m? Choose all that apply.
Answer:
-]$1784_- ₱14200
Step-by-step explanation:
dimentional fence
Determine whether the polygons are similar:
A triangle with side lengths 3 cm, 4 cm, and 5 cm, and a triangle with side lengths 18 cm, 19 cm, and 20 cm
Answer:
the polygons are similar
3. Which expression is a trinomial ?
a. 4x3
b. 7x + 12
C. 3x3 + 3x2
d. 5x2 + 3x2 - 1
HELP ME PLS
Here is a scatter plot
Select all the following that describe the association in the scatter plot:
Group of answer choices
Linear Association
Non-linear Association
Positive Association
Negative Association
No Association
Find the quotient.
300 divided by 7.5= ?
Answer:
....try t out
The answer is 40
Answer:
Quotient=42
Step-by-step explanation:
what is the circumference of a circle with a radius of 5 units
Answer:
C ≈ 31.4 units
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 5 = 10π ≈ 31.4 units ( to the nearest tenth )
Please help me with this and I will give you brainliest
Answer:
Answer is 62
Step-by-step explanation:
here is my work if this is any help
Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
100, 105, 110.25, ...
Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year?
f(n + 1) = f(n) + 5
f(n + 1) = 5f(n)
f(n + 1) = 1.05f(n)
f(n + 1) = 0.05f(n)
Answer:
C. f(n+1) = 1.05f(n)
Step-by-step explanation:
correct on edge
f(n + 1) = 1.05f(n) can be used to determine the total amount of money earned in any year based on the amount earned in the previous year.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
100, 105, 110.25, ...
hence, f(n + 1) = 1.05f(n) can be used to determine the total amount of money earned in any year based on the amount earned in the previous year.
To learn more on function click:
brainly.com/question/21145944
#SPJ2
Jessie goes to the market every 64 days. Chris goes to the same market every 72 days
They met each other one day. How many days later ws they meet each other again? Pleaseee answer this question
Answer:
576
Step-by-step explanation:
64×9 = 576
72×8= 576
The LCM of both numbers is 576
Answer:
Step-by-step explanation:
It will be the least common multiple of 64 and 72 days
64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶
72 = 2*2*2*3*3 = 2³ * 3²
LCM = 2⁶ * 3² = 64 * 9 = 576
Both will meet each other again 576 days
Is the equation 16 divided by 3/4=16 times 4/3?
Answer:
yes
Step-by-step explanation:
when you are dividing fraction, you have to flip the 2nd fraction (reciprocal)
16 / 3/4 is equal to 16 * 4/3
This composite figure is made up of three simpler shapes. What is the area of
the figure?
2 cm
6 cm
8 cm
4 cm
10 cm
A. 94 square centimeters
B. 47 square centimeters
C. 100 square centimeters
D. 70 square centimeters
Answer:
a. 94 square centimeters
Step-by-step explanation:
A. A bicycle shop advertised all mountain bikes priced
at a 1/3 discount.
How much is the bicycle discounted by if it
originally costs $327?
B. What is the price of the bicycle after the discount?
C. Explain how you found your solution to part b.
Answer:
I'm sorry i do not know but can you please press thanks it would really help me sorry i didn't know but u cant type your question in g00gle and 9 x out of 10 you will get the right 1
Step-by-step explanation:
sorry again im not that smart
Which is vertical to <3 look below at picture
Answer:
Angle 2
Step-by-step explanation:
Vertical angles are angles facing each other, and have equal measures.
So if they gave you the measure of angle 2, you would’ve known the answer for angle three. ur welcome :)
Answer: Yea dude your best bet is 2
Step-by-step explanation: Because you really have to know your angles like obtuse and acute that type of stuff
Martin sells 14 posters
Each poster he sells for £1.50
It cost him £10 to buy the posters.
How much profit did he make?
A block is 20 cm long 12 cm wide and 5cm high Find the volume of 40 such blocks
Answer:
Find the volume of a concrete block that is 2.5 metres long,. 12 centimetres wide and. 10 centimetres high. Two of the dimensions, the width and height,
Answer:
480,000 cm3
Step-by-step explanation:
give crown please ( brainliest )
Simplify
I don’t get it
Answer:
6
Step-by-step explanation:
Given
[tex]\frac{8(6)(6)}{6(8)}[/tex] ← cancel a 6 and 8 from the numerator/ denominator
= [tex]\frac{6}{1}[/tex] = 6
OR
Multiply the values on the numerator/ denominator
= [tex]\frac{288}{48}[/tex] = 6
Which of these is a simplified form of the equation 7z 2 = 8 2z 1z? 10z = 6 10z = 10 4z = 6 4z = 10.
Like terms are those terms that are having the same variables and order. The simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
The given equation to us is 7z+2=8+2z+1z, simplifying the equation we will get,
[tex]7z + 2 = 8 + 2z + 1z\\\\\text{Bring the like terms on the same side of the equation}\\\\7z -2z-1z = 8 -2\\\\7z-3z=6\\\\4z = 6[/tex]
Hence, the simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
Learn more about Like Terms:
https://brainly.com/question/2513478