Question:
(a) How many bacteria would be found in 24 hours
(b) How many bacteria would be found in 2 days
(c) How long for 1000 bacteria to be found
Answer:
(a) 282429536481 bacteria
(b) [tex]7.97*10^{22[/tex] bacteria
(c) 6 days
Step-by-step explanation:
The question illustrates an exponential function
[tex]y = ab^x[/tex]
Where
[tex]a = Initial\ Value = 1[/tex]
[tex]b=Rate = 3[/tex] --- i.e. triples
[tex]x = number\ of\ hours[/tex]
Solving (a): Bacteria in 24 hours
In this case:
[tex]x = 24[/tex]
Substitute [tex]x = 24[/tex], [tex]b = 3[/tex] and [tex]a = 1[/tex]
So:
[tex]y = ab^x[/tex]
[tex]y = 1 * 3^{24[/tex]
[tex]y = 1 * 282429536481[/tex]
[tex]y = 282429536481[/tex] bacteria
Solving (b): Bacteria in 2 days
[tex]2\ days =48\ hours[/tex]
So:
[tex]x = 48[/tex]
Substitute [tex]x = 48[/tex], [tex]b = 3[/tex] and [tex]a = 1[/tex]
So:
[tex]y = ab^x[/tex]
[tex]y = 1 * 3^{48[/tex]
[tex]y =7.97*10^{22[/tex] bacteria
Solving (c): How long for 1000 bacteria
In this case:
[tex]y = 1000[/tex]
Substitute [tex]y = 1000[/tex], [tex]b = 3[/tex] and [tex]a = 1[/tex]
So:
[tex]y = ab^x[/tex]
[tex]1000 = 1 *3^x[/tex]
[tex]1000 = 3^x[/tex]
Take Log of both sides
[tex]Log1000 = Log3^x[/tex]
This gives:
[tex]Log1000 = xLog3[/tex]
Make x the subject
[tex]x = \frac{Log1000}{Log3}[/tex]
[tex]x \approx 6[/tex]
Hence: It takes 6 days
4(−3x+8)=−16 Which value is the solution to the equation below?
Answer:
I'm 99.9% sure that x=4
Step-by-step explanation:
1.Find the next three terms in the sequence. -2 , -5 , -8, -11 , ...
2. Find the 100th term.
Please show the working.
Jose is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Jose need to invest, to the nearest cent, for the value of the account to reach $152,000 in 9 years?
Answer:
P≈ 87784.11
Step-by-step explanation:
i don't know, I saw the solution on Delta Math
I need help me please and ASAP!!!!!
Answer:
C D
Step-by-step explanation:
K/2 simply means k divided by 2. 1/2K also means divided by 2
helppp i really need help will give brainliest
Answer:
the answers are 13, ab/2, 20 and 15x²/2
Answer:
1/2 a^2, 1/2 b*a , 20, 7.5x^2
Step-by-step explanation:
Area of right angle triangle = 1/2 height * base so
Area of MSP = 1/2 a^2 , Area of BUC =1/2 a*b
Area of BAC =1/2 8*5 , Area of DRK =1/2 3x*5x =1/2 *15x =7.5x^2
The diagram shows a cuboid.
8 cm
15 cm
20 cm
What is the volume of the cuboid?
Answer:
mdndmdkdkdkdkd
Step-by-step explanation:
kdkdkdjfjfk
HELP ME ON GEOMETRY!!! PLZ
NO LINKS! > i will report.
Answer
I believe B.)8in3 is the right answer according to the square-cube law.
Step-by-step explanation:
a quantity of y varies partly as x and partly as the square of x. when x=2 ,y=14 and when x=5, y=65. Find y when x=-2
The perimeter of a rectangle is 26 inches. If the length of the rectangle is 6 inches, find the width.
Answer:
7 inches
Step-by-step explanation:
The perimeter of a rectangle = 2 x ( length + breadth)
26 = 2 x (6 + breadth)
Divide both sides of the equation by 2
26/2 = 6 + width
13 = 6 + width
Collect like terms
13 - 6 = width
width = 7 inches
(3x^4=2x+1)-(2x^4-3x+5)
5. What is the inverse function of
Answer:
i think that it is. C.
i think it will help
La suma de las edades de Pedro y su hijo son 84 años. Hace 6 años la edad de Pedro era 3 veces la edad de su hijo.
¿Qué edad tiene el hijo actualmente?
a) 34 años
b) 29 años
c) 24 años
d) 19 años
Es una pregunta de un examen en la que me quede estancado porque me da 32 o otra forma me da 30 pero ninguna es la opcion
Answer: 24 years old
A fair con is tossed 80 times in an experiment. If the coin is fair, what would be a reasonable number of times tails should appear
based on your knowledge of the theoretical probability of this event?
Answer: 40 would be a reasonable number of times tails should appear if the coin is fair. Fair means 50/50 chance.
So, divide 80 by 2. 80/2 = 40.
Multiply
7x(x^2-x+2)
Answer:
7x^3-7x^2+14x
Step-by-step explanation: hope I helped
In the compound interest equation, A(x)= 500(1.07)x, what does the 500 represent?
The starting value
the growth factor
the amount in the account after x years
the annual rate of interest
Answer:
The starting value.
Step-by-step explanation:
In the compound interest equation A(x)= 500(1.07)x, 500 represents the initial balance, or the starting value.
A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map, in inches?
Answer:
3
Step-by-step explanation:
12÷4=3, so they are 3 inches apart
help me fast for extra points
Answer:
EKH and FKG
Step-by-step explanation:
vertical angles are angles that are directly vertical from each other.
Answer:
C
Step-by-step explanation:
EKH AND FKG THEY ARE VERTICLE (SAME ANGLES)
If the Math Olympiad Club consists of 15 students, how many different teams of 3 students can be formed for competitions?
Answer:
5 teams
15÷3=5
Have a great day
Answer:
5 teams
Step-by-step explanation:
There are 15 students, and 3 students per team. Divide 15/3 and you get 5.
Solve the equation 18+a= -5
Answer:
The answer is -23
Step
Find the value of |5| - 4(3 to the second power - 2).
Answer:
4.55
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
What is the slope of points (2,-15) and (-3,10).
Answer:
m = 5
Step-by-step explanation:
I believe you are asking, "What is the slope of the line passing through the points (2, -15) and (-3, 10)?"
As we go from (-3, 10) to (2, -15), x (the horizontal leg of a right triangle) increases by 5 (this is the 'run'), and y (the vertical leg) increases by 25 (the 'rise'). Thus, the slope of this line is
m = rise / run = 25/5, or just 5. m = 5
please help me outt
Answer:
see explanation
Step-by-step explanation:
The scientific notation is 3.212 · 10^8
Find the area in the pic please!!
Answer:
Area = 970 ft²
Step-by-step explanation:
The shape is composed of a square and a triangle.
Therefore:
Area of the shape = area of square + area of triangle
✔️Area of square = s²
s = 20 ft
Area = 20²
Area of square = 400 ft²
✔️Area of triangle = ½*b*h
b = 20 + 9 + 9 = 38 ft
h = 30 ft
Area of triangle = ½*38*30 = 570 ft²
✅Area of the shape = 400 + 570 = 970 ft²
PLEASE HELP ASAP I NEED THIS DONE BY TODAY. ILL GIVE YOU AN ADDITIONAL 50 points. You have to split the shape into two triangles and a rectangle and then add the sums of the areas. HELPPPPPPPPPPPPPPPPPPPPPPPP!!!
HELPPPPSJSHS
The graph of a quadratic function is shown on the grid below.
Which coordinates best represents the vertex of the graph?
What is the circumference of a circle whose radius is 1.3 cm? Find the circumference using the formula C=2πr
Answer:
C≈8.17cm
Step-by-step explanation:
C=2πr=2·π·1.3≈8.16814cm
Find the measure of each numbered angle on this Triangle.
Answer:
m<1 = 69
m<2 = 37
m<3 = 106
m<4 = 21
Step-by-step explanation:
can someone help with this question please? (no links!!)
Answer:
Step-by-step explanation:
radius is half of it so 7 times 2= 14 and then multiply by 3.14.
So 43.96
what is the 4 one pls help
Answer:
where are the shapes?
Step-by-step explanation:
Answer:
I think it is 2.5 cm.
Step-by-step explanation:
in rst, the measure of t=90°, the measure of r=9°, and tr=2.7 feet. find the length of st to the nearest tenth of a foot.
Answer:
6
Step-by-step explanation:
hjjh[tex]\leq[/tex]
Answer:
.4
Step-by-step explanation:
2.7
x
9=
2.7
x
2.7 9=x
Cross multiply.
x=0.4276
x=0.4276≈0.4 feet