Complete Question
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.
Answer:
Nt = 90,000 × e^t/15
Step-by-step explanation:
The function that models the number of bacteria t minutes since the medicine was introduced is written as
Nt = No×e^λt
Where:
No = The initial number of the bacteria after time t
Nt = The current number of the bacteria after time t
λ = Decay constant or factor
t = Time in years
From the question,
No = 90,000 bacteria
Nt = The current number of the bacteria after time t
λ = 1/15
t = Time in years
Therefore, our function is written as:
Nt = 90,000×e^1/15 × t
Nt = 90,000 × e^t/15
Answer:
90,000*(1/15)^t/6.7
Step-by-step explanation:
Khan told me it's correct.
Help Identify the elements plz
Answer:
a 3,4 k, 3,2 m,5,8
Step-by-step explanation:
A video game originally costs $63, but if you buy it before the end of May there is a 25% off sale. The sales tax is 9.5%. What is the final price of the video game if you buy it before the end of May?
Answer: $53.24
Step-by-step explanation:
Find the sales tax:
9.5*63.00=598.5
Then divide 598.5 by 100: 598.5/100= 5.985
Round: $5.99 ( sale tax amount )
Now we find the discount: 25*63.00= 1,575
Then divide it by 100 : 1,575/100= $15.75 ( discount amount )
Take the original price of the game and subtract it by the discount amount, then add the sales tax amount: 63.00-15.75= 47.25+5.99= $53.24
Answer: $53.24
Your welcome :)
can someone please help will give brainleist
pythagorean modeling
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
Answer:
hi.............,,,,,........
HELP WITH PROBABILITY QUESTION
A classmate designs a game. The game requires a player to choose a card and roll a die. Does it matter if the die is rolled first or the card is chosen first? Explain your answer.
Answer:
No, it doesn't matter as they are mutually exclusive events. So, the occuring of one event does not effect another event.
3. Which of the following equations is
equivalent to the equation shown below?
3x + 5 = 7x
10
A. 10x + 5 = -10
B. 4x + 5 = -10
C. 7x - 5 = 3x
D. -4x + 5 = -10
Answer:
the question has some problems
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
Answer:
BC ≈ 4.17
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )
5.7 × cos43° = BC , then
BC ≈ 4.17 ( to 3 sf )
Help please I beg you. There’s a picture of the question and answers
pls help!________________
Answer:
I think your right but I'm not sure yet
Answer:
SCI or ICS
Step-by-step explanation:
The largest line will have the largest angle opposite to it, so angle SCI is the correct choice.
Graph the line with the equation y = 1/2x+3
Answer:
(0,3) (-6,0) these will be the points
what percent is 25 is 4 plz help
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
The model below is shaded to represent an expression. Which expression represnts the model?
Answer:
stop rushing me aaaaaaaaaahhhhhhhh
Step-by-step explanation:
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 50 pizzas in all, 10% of which were mushroom pizzas. How many mushroom pizzas did the cafeteria make?
Answer:
5 mushroom pizzas
Step-by-step explanation:
Find how many mushroom pizzas they made by finding 10% of 50:
50(0.1)
= 5
So, the cafeteria made 5 mushroom pizzas
Answer:
50×10/100= 5
The cafeteria made 5 mushroom pizza
A baseball bat that originally sold for $65 is on sale at a 15% discount. Which single gift card amount would cover the complete cost of the discounted bat? Select all that apply.
A
$10
B
$15
C
$50
D
$60
E
$80
Answer:
A
$10
Step-by-step explanation:
15% of $65 is 9.75
so $10 would cover the given amount
We want to see which card can cover completely the cost of a bat after a discount is applied. We will see that the correct options are:
D and E.
The baseball bat is originally sold for $65.
It has a discount of a 15%, then the new price is given by:
P = $65*(1 - 15%/100%) = $65*(1 - 0.15) = $65*0.85 = $55.25
So the gift cards that cover the whole cost of the discounted bat are these ones with a value equal or larger than $55.25
The correct options are:
D: $60
E: $80
With these two you could pay the complete cost of the discounted bat.
If you want to learn more, you can read:
https://brainly.com/question/2730006
Please answer the question correctly
Answer:
ML=6
Step-by-step explanation: because JM and ML are a same straight line that is intersected they are the same
Write parametric equations of the line a. Please select the best answer from the choices provided A
Answer:
Parametric Equation of a Line
Step-by-step explanation:
A line, parallel to vector (a,b,c) passing through point P (x1,y1,z1) is represented by parametric equations
x = x1+ at
y = y1 + bt
z = z1 + ct
Mr. Winkleman , a professional wine taster, made $32,800 last year . This year he had a raise of $2,132 . what was the percent of the raise? PLEASEE ALSO show work , i will try and mark brainliest
Answer:
0.65
Step-by-step explanation:
Answer:
Step-by-step explanation:
2,142/32,800 ≈ 0.065 = 6.5%
2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2
Answer:
Unit 9 Answer Key.pdf
Step-by-step explanation:
Search that up and you'll see all the answers
Please give me Brainliest and like and rate please hope this helps BYE!
help me its due in 13 mins i forgot about it
Answer:im so sorry but i cant see the page you should take a more clear picture and send it again
Step-by-step explanation:
PLEASE HELP!
If triangle MNO and triangle PQR are similar, which of the following must be true?
Answer:
C and D
Step-by-step explanation:
Want explanation? Comment
Answer:
D
Step-by-step explanation:
It looks like triangle MNO and PQR are similar because PQR is a smaller version of MNO reversed. If this is true, MN is equal to PQ, OM is equal to RP, and ON is equal to RQ. Therefore, the answer should be D.
I really hope this helps!!
f(x) = x ^ 4 - 6x ^ 3 + 8x ^ 2 - 21 ^ 2 the possible rational zeros
Answer:
Step-by-step explanation:
[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]
we conclude that it has two or four real roots.
Help 15 points for the answer
Answer:
3x² + 7x + 6
Step-by-step explanation:
Big Rectangle:
A = bh
A = (x + 3)(x + 2)
A = x² + 2x + 3x + 6
A = x² + 5x + 6
Small rectangle:
A = bh
A = (x + 1)(2x)
A = 2x² + 2x
Combined:
x² + 5x + 6 + 2x² + 2x
3x² + 7x + 6
giving brainliest, find the volume THANKS
Answer:
384 inches cubed
Step-by-step explanation:
Your equation is:
width x hight x length = volume
12 x 4 x 8 = 384 in cubed
Answer: that be B.128in^2
Step-by-step explanation: Hope this help :D
Use the distributive property to expand -4 (-2+3x). Which is an equivalent expression?
-8/5 + 12x
-8/5 - 12x
8/5 + 12x
8/5 - 12x
Answer:
The answer should be 8-12x......if i take a wild guess out of your answer choices, would say C.
Step-by-step explanation:
-4 (-2+3x)
[carry over the -4 to (-2) and (3x) ]
8-12x
Mark's scores on his first nine assignments were: 10, 10, 9, 9, 10, 8, 9, 10, and 8.
a. What are the median and range of his scores?
b. What is his mean (average) score so far?
c. Mark did not do the tenth assignment, so he got a zero on it. Zero is an outlier for these assignments. What is his new mean?
If you help me with my last question I will help you with this one
Answer:
Median= 9
Range= 2
Mean= 9.2
Mean after zero= 8.3
Step-by-step explanation:
8, 8, 9, 9, 9, 10, 10, 10, 10
Median= order from least to greatest then eliminate from left to right until you get to the middle
Range= Subtract biggest # minus smallest #
Mean= add up all the numbers then divide by 9
Mean after zero= add 0 with other numbers then divide by 10
PLZZZ HELP MEEEEE!!!!
Answer:
She would use the mean.
Step-by-step explanation:
Use the Distributive Property to solve the equation. 4(x + 3) = 32 The solution of the equation is (Type the value of x)
Answer:
x = 5
Step-by-step explanation:
4(x + 3) = 32
Use Distributive Property
4x + 12 = 32
Subtract 12 on both sides
4x = 20
Divide 4 on both sides
x = 5
Hope this helps! ^^
Find the area of the figure. (Sides meet at right angles.)
Answer:
The answer would be 50m units squared.
13. ¿Cuál es el vértice de la parábola y=2x^2-16x+2?
A) (4.-30)
B) (4,0)
C) (-4,38)
D) (-4,-30)
E) (5,2)
The width of a rectangle is 6t-1.5 feet and the length is 1.5t+6 feet. Find the perimeter of the rectangle. The perimeter of the rectangle is nothing feet.
Answer:
15t+9 ft
Step-by-step explanation:
Given data
Width= 6t-1.5 ft
Length= 1.5t+6 ft
Required
The perimeter
The expression for perimeter is
P= 2L+2W
P= 2(1.5t+6)+ 2(6t-1.5)
open bracket
P= 3t+12+ 12t-3
collect like terms
P= 3t+12t+12-3
P= 15t+9 ft
Hence the perimeter is 15t+9 ft
solve for c 4c+9d=16
1 plus 1 =2
2+2 4 3+3 6 77÷11 7