Answer: E
noon to 6 pm is 6 hours which is 360 minutes
divide 360 by 40 to get the number of times it doubles which is 9 times so it’ll be 2 to the ninth power (2 is there since your doubling the number of bacteria)
multiply that by 10 since that was how many bacteria there was at the beginning
10 x 2^9 = 5120
5120 bacteria will be there at 6 PM.
This question is an example of geometric progression, in which a bacteria colony has growing population that is multiplying itself at constant rate. The geometric progression is defined by this expression:
[tex]n (t) = n_{o} \cdot r^{\frac{t}{\tau} }[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial population, no unit.[tex]r[/tex] - Growth rate, no unit.[tex]t[/tex] - Time, in minutes.[tex]\tau[/tex] - Time factor, in minutes.If we know that [tex]n_{o} = 10[/tex], [tex]r = 2[/tex], [tex]\tau = 40\,min[/tex] and [tex]t = 360\,min[/tex], then the population of bacteria at 6 PM is:
[tex]n(360) = 10\cdot 2^{\frac{360}{40} }[/tex]
[tex]n (360) = 5120[/tex]
5120 bacteria will be there at 6 PM.
We kindly invite you to check this question related to geometric progression: https://brainly.com/question/24540317
Who has walked closer to 1 mile than to 0 miles?
Answer: Mr. Nunez
Hope this helps :)
Name 2 decimals that round to 8.64.
I need help plzzzzz
Answer:
8.643, 8.639
Step-by-step explanation:
Step-by-step explanation:
What is the number 8.64 rounded to the nearest tenth? -
What is 2.098 rounded to two decimal places? ... You could also use round-to-odd, which is like round-to-even in its ability to remove bias, ...
What is Olun 1
[tex] \frac{5}{6} - \frac{1}{4 } [/tex]
need help
Answer: =7/12
Step-by-step explanation:
I need help I will mark you if you get it right
Find the average of 62 ℓ, 28 ℓ, 45 ℓ and 33 ℓ.
Answer:
the average is 168
Step-by-step explanation:
PLEASE HELP ASAP . PLEASE
Answer:
18.3%
Step-by-step explanation:
Can someone please help me graph this I really need help and I’m really confused !!
Answer:
For example number 1 is A(-3,5), so on the graph you will go over -3 spaces to the left. Then for 5 you will go up on the graph. Your going up on the graph because it is a positive number. Then the A will be 3 spaces over from positive 5.
Step-by-step explanation:
Hope this helped :)
What is the vertex form of a quadratic?
A) y= a(x - h)^2+k
B) y= (x -a)(x - b)
C) y = ax^2 + bx + c
D) y = mx + b
Samantha walks a total of 3/4 miles to get to and from school each day write an addition expression that can be used to find the total numbers of miles that has Samantha walk to and from school over 2 days Then evaluate the expression
I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?
Answer:
7.5 min for each assignment
Step-by-step explanation:
1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:
15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60
Or we could multiply one hour, or 60 minutes, by 3 /4 .
60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45
Three fourths of an hour is 45 minutes.
to find time for each assignment =45/6
7.5 min
3. LAKE How deep is the water 31.5 feet from the
shore?
31.5 ft
|+6 ft--- B
2 ft.
D
d ft
(A) 10
(B) 9.5
(C) 10.5
(D) 8
Please someone help!!
Link=REPORT
3 Solve the equation log 2x = -5.
a) 2.5
b)-2.5
c) 0.000005
d) 0.025
2x = -5
x = -5 : 2
x = -2,5
................
Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?
PLS HELP PLS PLS
Answer:
The base of the banner is 30 centimeters.
Step-by-step explanation:
Area = base × height
Plug in the numbers:
127 1/2 = b × 4 1/4
Convert mixed fractions into improper fractions for easier calculations.
Improper fraction formula: (denominator × mixed number + numerator)/denoninator
(2 × 127 + 1)/2 = 255/2
(4 × 4 + 1)/4 = 17/4
Rewrite equation:
255/2 = b × 17/4
Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).
1020/34 = b
Simplify.
30 = b
Chose all of the terms that describe the set of lines.
Intersecting lines
. Parallel lines
Transversal
Perpendicular lines
Laura retired from her job recently, and she has saved about $427,595.00 over the course of her career. She plans to withdraw
$1,490.00 each month to pay for living expenses. After a certain amount of time, the balance in Laura's account is $391,835.00.
How many months have passed since Laura retired?
Answer:
24 mouths have passed
Step-by-step explanation:
What is the cost with sales tax for the phone? Assume that the sales tax is 6%, or 0.06 times the price.
Answer:
$0.06x
Step-by-step explanation:
Well, you didn’t give us a value for the phone so let’s say the phone is x. . .
Let x=the price of the phone.
x * 0.06=0.06x
Answer:
Step-by-step explanation:
a
Plz help me I will give you 40 points and Brainly
please help this is overdue
Find the value of g(5) if g(x) = {-2x
Answer:
-10
Step-by-step explanation:
g(5) for g(x)= -2x
we put 5 to x
g(5) = -2.5
=-10
HELP ASAP PLS NO LINKS
Which of the following values in the set below will make the equation 5x + 6 = 6 true? (Only input the number.)
{0, 1,2,3,4}
Numerical Answers Expected!
Answer for Blank 1:
Answer:
0
Step-by-step explanation:
0
Parallelogram ABCD is a rhombus. Side BC = 5cm and segment AO = 3.8cm
What is the area of ABCD?
What is the length of diagonal BD?
The area of the rhombus ABCD is 24.7 cm².
The length of diagonal BD is 6.5 cm.
What is the area of a rhombus?A rhombus have equal four sides and the diagonals of the rhombus divides it into four equal right triangles. The area of the rhombus is the sum of individual areas of the four right triangles.
The hypotenuse side of the right triangle = side of the rhombus = BC = 5 cm
One of the legs of the right triangle = AO = OC = 3.8 cmLet the second leg of the right triangle = OB = OD = xThe second leg of the right triangle is calculated as follows;
[tex]x^2 + 3.8^2 = 5^2\\\\ x^2 = 5^2 - 3.8^2 \\\\ x^2 = 10.56\\\\ x = \sqrt{10.56} \\\\ x = 3.25 \ cm[/tex]
The area of one right triangle of the rhombus is calculated as follows;
[tex]A = \frac{1}{2} (3.8)(3.25)[/tex]
The area of the rhombus ABCD is calculated as follows;
[tex]A = 4 \times \frac{1}{2} (3.8)(3.25)\\\\ A = 24.7 \ cm^2[/tex]
The length of diagonal BD is calculated as follows;
[tex]BD = OB \ + \ OD\\\\ BD = x \ + \ x\\\\ BD = 3.25 \ cm \ + \ 3.25 \ cm\\\\ BD = 6.5 \ cm[/tex]
Learn more about area of rhombus here: https://brainly.com/question/2456096
There is a bag of marbles that contain 5 blue, 6 red, 3 black, and 2 yellow marbles. What is the probability that you select a blue or a red marble
Answer:
11/16
Step-by-step explanation:
P(blue OR red) = 5/16 + 6/16 = 11/16
Alice makes 32 of her 40 free throws during practice. Which teammate has a higher probability of making a free throw during practice?
Answer:
Step-by-step explanation:
B dawn made 45 out of 50 free throws
No bots. No bots. No bots Please, someone please answer this, and No bots!!
HELP WILL GIVE BRAINLEIST AND LOVE YOU FOREVER
Find the dimensions and maximum area of a rectangle if the perimeter is 52
Answer: l
=
16
,
b
=
10
Explanation:
Step-by-step explanation:
Perimeter of rectangle is
p
=
2
(
l
+
b
)
=
52
,
l
is length and
b
is breadth.
Area of rectangle is
A
=
l
⋅
b
=
160
∴
l
=
160
b
;
∴
2
(
160
b
+
b
)
=
52
or
(
160
b
+
b
)
=
26
or
160
+
b
2
b
=
26
or
160
+
b
2
=
26
b
or
b
2
−
26
b
+
160
=
0
or
b
2
−
16
b
−
10
b
+
160
=
0
or
b
(
b
−
16
)
−
10
(
b
−
16
)
=
0
or
(
b
−
16
)
(
b
−
10
)
=
0
∴
b
=
16
or
b
=
10
If
b
=
16
;
l
=
160
16
=
10
and if
b
=
10
;
l
=
160
10
=
16
The dimension of rectangle is
l
=
16
,
b
=
10
[Ans]
PLEASE HELP
What is the slope-intercept equation of the line shown below?
(1,5)
(-2,-4)
Answer
y=9/3x
Step-by-step explanation:
los habitantes de santa Ana quieren pintar las paredes de la iglesia, las cuales ocupan 5 dam² y necesitan dos manos de pintura. la pintura que se utilizará cubre 10 m² de superficie y cuesta $12.000 ¿cuánto cuesta la pintura que se debe comprar?
Answer:
25,000
Step-by-step explanation:
the answer is 25,000
HHEEELLPPP!!!!! The probability of the spinner landing on an even number or a multiple of 3 is . The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is .
Answer:
Down below
Step-by-step explanation:
The probability of the spinner landing on an even number or a multiple of 3 is ___?
1/6
1/3
1/2
2/3
5/6
The probability of the spinner landing on an even number or a multiple of 3 is ___?
13/18
1/3
7/9
2/3
5/6
Answer:
2/3 and 7/9
Step-by-step explanation:
got it correct on plato
What is the total amount of fabric needed to make the tent with the following dimensions?
