Given :
The half-life of carbon 14 is 5,730 years.
To Find :
How much would be left of an original 50- gram sample after 2, 292 years.
Solution :
We know, rate law for first order reaction is given by :
[tex][A] = [A_o]e^{-kt}[/tex] ...1)
Here, [tex]A_o[/tex] is initial amount and [tex]A[/tex] is final amount.
And [tex]k = \dfrac{ln\ 2}{t_{0.5}}[/tex]
Putting value of half time in above equation, we get :
[tex]k = \dfrac{ln\ 2}{5730}\\\\k = 1.21\times10^{-4} \ /s[/tex]
Putting value of k in equation 1) , we get :
[tex][A] = 50\times e^{-1.21\times 10^{-4}\times 2292} = 37.89\ gm\\\\[/tex]
Hence, this is the required solution.
Answer: i have zero clue lol
solve for x it is a parallelogram please help
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.what is the graph for y=2x+1
Please helpppp I want to go to sleep xD (There's a screenshot)
Answer:
Step-by-step explanation:
2n-8 :) zzzzzzzzzzzzzzzzzzzzz :P
Answer:
2n - 8
Step-by-step explanation:
Combine like terms in the parenthesis 2(1n - 4)
The distribute (multiple both of the terms inside by 2)
It gives 2n - 8
Question Progress
Simplify fully
a) 8c^4d^5÷2c3^d^3
b)9a3b5/3ab2
Answer:
A.) 4cd^2
B.) 3a^2b^3
Step-by-step explanation:
simplify by following the rules to adding exponents
Find the area of this parallelogram.
Answer:
The area is 260 sqaure units.
Step-by-step explanation:
Finding the area of a parallelogram is like finding the area of a rectangle. The base times the height equals the area. As a result, you would multiply 20 by 13 to get 260.
I’ll give u brainilest just help
Answer:
11 44 0.250
18 48 0.375
11 40 0.275
about number 3 i have no idea
Step-by-step explanation:
prove me wrong
anyone know how to do this? will give brainlest! if you cant help, have a great day!!!
Please help if possible!
Match the angle relationship with each given angle pair.
Answer:
???
Step-by-step explanation:
A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.
Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.
Answer:
Area of the shaded portion = 54.5 cm²
Step-by-step explanation:
Solve first for the area of the circle:
[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]
Then, compute for the area of the triangle:
[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]
Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle
[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]
What is the final price of an item that cost $38 with 90% mark-up
Answer:
$342.00
Step-by-step explanation:
38 x 90 = 3420
Answer:
72.2
Step-by-step explanation:
38 * 190%
If the sequence, 1,3,5,7,9,..... Is called A(n), where n is the nth term. What term is A(3)?
Answer:
Third term (5)
Step-by-step explanation:
A(3) is the third term which is 5.
Answer: Tn=2n−1.
Step-by-step explanation:
The distance from C to D is 24 miles. The distance from B to C is 2/3 of the distance from C to D. The distance from A to B is 3/8 of the distance from B to C. What is the distance from A to B?
Answer:
AB is 6 miles
Step-by-step explanation:
Here, we want to get AB
From the question;
CD = 24
BC = 2/3 * 24 = 16
AB = 3/8 * BC
AB = 3/8 * 16
AB = 6 miles
m∠1=(3x+8)°, m∠2=(3x+18)°, and m∠3=(7x+9)°. What is m∠3?
Answer:
87.4°
Step-by-step explanation:
(3x + 8) + (3x + 18) + (7x + 9) = 180
3x + 8 + 3x + 18 + 7x + 9 = 180
add the common numbers
13x + 35 = 180
subtract 35
13x = 145
divide 13
x = 11.2
then plug it back in to m<3
7(11.2) + 9
78.4 + 9
= 87.4°
What expression is equivalent to -2x + 7
Find the slope and y intercept for the equation.
y = -6.75x + 8.54
Answer:
the y intercept is 8.54 and the slope would be 0
Step-by-step explanation:
use to do these
What is the radius of the circle?
Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
radius=area÷2
radius=9÷2
radius=4.5
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Answer:
im pretty sure it is.
y=-1/4x +3
Good luck!
Answer:
y = -1x/4 + 3
Step-by-step explanation:
m = slope
b = y intercept
What is the circumference and radius of a circle with a diameter of eight and a half inches?
Answer:
the radius 4.25
Step-by-step explanation:
It took Bill 8 hours to paint one side of a house. It took Joanne 5 hours to paint the other side
of the house. How much longer did Bill work than Joanne?
Answer:
3 hours
Step-by-step explanation:
you would have to subtract 5 from 8 and there's you answer
Hope that helps. XD
-2.4x+3.8x-x please helpppp
Answer:
0.4x
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
-2.4x + 3.8x - x
Step 2: Simplify
Combine like terms: 1.4x - xCombine like terms: 0.4xFred has 45 books. Sally has 27 times more books than Fred. How many books does Sally have?
Answer:
fred = 45 books
sally has 27 times more book than fred
sally = 45 X 27
= 1215 books
I need help with this
What is an equation of the line that passes through the point (–1,5) and is parallel
to the line x - y = 6?
Answer:
y = - x + 4
Step-by-step explanation:
The first step is to find the slope-intercept form, which is:
y=x-6.
Then, y=x+6
y=-x+4 should be the answer since it passes through the point (-1, 5)
Answer:
y=x+6
Step-by-step explanation:
the other guy was wrong
What is chipset what role its play:}
Answer:
a chipset is a system of electrical components which are needed to work for microprocessors.the chipset is to do with the the components on the motherboard
Step-by-step explanation:
pls mark me as brainliest!!<3
ʟɪᴠɪɴɢ ᴏɴ ᴛʜᴇ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ, ᴀ ᴘᴄ's ᴄʜɪᴘsᴇᴛ ᴄᴏɴᴛʀᴏʟs ᴛʜᴇ ᴄᴏᴍᴍᴜɴɪᴄᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴄᴘᴜ, ʀᴀᴍ, sᴛᴏʀᴀɢᴇ ᴀɴᴅ ᴏᴛʜᴇʀ ᴘᴇʀɪᴘʜᴇʀᴀʟs. ᴛʜᴇ ᴄʜɪᴘsᴇᴛ ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴀɴʏ ʜɪɢʜ-sᴘᴇᴇᴅ ᴄᴏᴍᴘᴏɴᴇɴᴛs ᴏʀ ᴜsʙ ᴅᴇᴠɪᴄᴇs ʏᴏᴜʀ ʙᴇsᴛ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ ᴄᴀɴ sᴜᴘᴘᴏʀᴛ
The model represents the equation 3x - 2 < 4 what is the solution for this inequality
Answer:
x < 2
Step-by-step explanation:
3x - 2 < 4
+ 2 | + 2
------------------
3x < 6
↓
(3x) / 3 < 6 / 3
↓
x < 2
Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds?
Answer:
The watermelon
Step-by-step explanation:
12 pounds would be around 5.450 kilograms
which one is greater 20 ounces or 20 grams
Answer:
20 ounces
Step-by-step explanation:
Answer:
20 ounces
Step-by-step explanation:
20 grams in ounces is 0.7055
and 20 ounces in grams is 566.99
Which value of x satisfies the equation } (x – 3) = -12
-8
7
- 7
8
Answer:
x = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
(x - 3) = -12
Step 2: Solve for x
Add 3 to both sides: x = -8O salário de um artista é calculado através da função y = 2000 + 500x onde Y representa o valor total em Reais recebido em um mês de trabalho e "x" o número de shows realizados no mês. Qual foi o salário desse artista no mês em que realizou 12 shows?
Answer:
The artist's salary in the month is 8000.
Step-by-step explanation:
The salary of an artist is given by the function :
y = 2000 + 500x ....(1)
where Y represents the total amount in Reais received in a month of work and "x" the number of shows performed in the month.
We need to find the artist's salary in the month she performed 12 shows.
Put x = 12 in equation (1)
y = 2000 + 500(12)
= 2000 + 6000
= 8000
Hence, the artist's salary in the month is 8000.
3 divided by -125
pls if you help me out. , you'll get 48 points
Answer: 0.024
Step-by-step explanation:
Answer:
That equals -0.024 Step-by-step explanation: