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
Caroline ran 30 miles in 6 days. She ran the same distance each day. Enter and solve an equation to
determine the number of miles she ran each day. Use x to represent the variable.
Help pls
Answer:
she ran 5 miles each day
Step-by-step explanation:
let the number of miles she ran each day = x
x = 30/6
x = 5 miles
5/7(14-21x)=115
what is the answer?
Answer:
-7
Step-by-step explanation:
Which is a graph of y=3x-1
Please help me I’m very stuck?
Answer:
The 1st one
Step-by-step explanation:
6th grade math help me plzzz
Answer:
4. 1/5
Step-by-step explanation:
NEED HELP
Find the slope of the line that passes through (10, 92) and (97, -3).
Answer:
-95/87
Step-by-step explanation:
Formula to find slope: (y2-y1) / (x2-x1)
In this problem y2 is -3 and y1 is 92. x2 is 97 and x1 is 10.
We substitute these numbers into the equation.
(-3-92) / (97-10)
Then we simplify this by subtracting.
-95/87 is our final answer.
3
Regina writes the expression y +9.
4
Which expression is equivalent to the one Regina
writes?
A (9.3 : 4) + y
B 9+ y(3:4)
C (y +9)(3-4)
D None of these
Answer:
a
Step-by-step explanation:
if you do it right it is a
the answer would be (9•3 divided by 4)+y which is A
Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'
Answer:
The answer will b 4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If you could just tell me the coordinates that would be great thanks
Answer:
A: (2,5)
B: (4,8)
C: (8,6)
please help and show work
Answer:
see explanation
Step-by-step explanation:
(3)
The opposite sides of a parallelogram are congruent, so
6x = 3x + 15 ( subtract 3x from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
and
2y - 10 = y + 5 ( subtract 5 from both sides )
y - 10 = 5 ( add 10 to both sides )
y = 15
Then x = 5 and y = 15
-------------------------------------------------------------------------
(4)
The diagonals of a parallelogram bisect each other, thus
y = 4x - 6 → (1)
9x - 25 = 2y → (2)
Substitute y = 4x - 6 into (2)
9x - 25 = 2(4x - 6)
9x - 25 = 8x - 12 ( subtract 8x from both sides )
x - 25 = - 12 ( add 25 to both sides )
x = 13
Substitute x = 13 into (1)
y = 4(13) - 6 = 52 - 6 = 46
Then x = 13 and y = 46
what is the equation for the line in the slope intercept form enter your answer in the box
Answer:
i belive it is y=-4x+5
Step-by-step explanation:
i just did the test
Answer: Y-4+5 Is the answer
Step-by-step explanation:
There are 11 animals in the barnyard with a total of 32 legs. Some are cows and some are ducks.
How many of each animal are there?
A= 1/2 π r ^2 solve for pi
Answer:
Well thats pretty easy. the answer is non-determineable
Step-by-step explanation:
prove me wrong
The solution for pi is π = 2A/r² where r is the radius.
What is the area of a circle?The area of a circle is defined as the space occupied by the circle in a two-dimensional plane. In other word, the space occupied under the region or circumference of a circle is called the area of the circle.
The formula for the area of a circle is A = πr²,
Where r is the radius of the circle.
For example, if the radius of circle is 6cm, then its area will be: Area of a circle with 6 cm radius = πr² = π(6)² = 36π square cm.
Given data as :
A = 1/2 πr²
Solve for pi
⇒ A = 1/2 πr²
Multiply by 2 both the side
⇒ 2A = πr²
⇒ 2A/r² = π or
⇒ π = 2A/r²
If A = 76 cm² and π = 22/7,
⇒ A = πr²
⇒ A/π = r²
⇒ √A/π = r
Substitute the values, we have:
⇒ √76 /(22/7) = r
⇒ √76 * 7/22 = r
⇒ √532/22 = r
⇒ √24.1818 = r
⇒ 4.917 = r
⇒ r = 4.92 cm (Rounding to two decimal places)
Learn more about the area of the circle here:
brainly.com/question/11952845
#SPJ2
The question seems to be incomplete the correct question would be
If A = 76 cm² and π = 22/7, what is the value of r in centimeters?
Last year, there were k ples baked for the bake sale. This year, there were 216pies baked. Using k, write an expression for the total number of pies baked in
the two years.
Answer:
216 + k = total pies
Step-by-step explanation:
216 pies this year + k pies last year = total pies
Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
The Hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and the
family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is si
Answer:
I believe it is a total of 73.188
Helppp!!
What is the value of the missing angle?
Answer:
105
Step-by-step explanation:
all angles inside a triangle add up to equal 180, the inside angle at R is 75 degrees, the TP line is obviously a 180 degree angle, because it's just a straight line, so you subtract 75 from 180 to get 105
hope this helps :)
Can someone help me with this.
Answer:
the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
Step-by-step explanation:
The overlapping section(green colours common for both) while blue represents first factor and yellow represent second factor.
Solving:
The first part of the factor is considered horizontal rows (as shown in figure)
So, we have 3 horizontal rows and 2 rows are coloured so, the fraction will be: [tex]\frac{2}{3}[/tex]
For the second factor, we consider vertical columns (as shown in figure)
So, we have 5 columns and 3 columns are coloured so, the fraction will be: [tex]\frac{3}{5}[/tex]
So, the result will be:
[tex]\frac{2}{3}\times \frac{3}{5}=\frac{6}{15}[/tex]
So, the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
Which mapping diagram represents a relationship that is a function?
Mapping A
Mapping B
3
7
O Mapping A
O Mapping B
O both Mapping A and Mapping B
Answer:
Mapping A
Step-by-step explanation:
Find the Value of x and y. Iready
Answer:
x- 63 and y - 27
Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
Jasmine sold half of her Barbie doll Collection
and then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many
A new app charges an annual fee plus an additional fee per new game downloaded. The table shows the linear relationship between the number of new games downloaded and the total cost including the annual fee. Which statement is true?
A.
The additional fee per game is $10.
B.
The additional fee per game is $1.99.
C.
The annual fee is $1.99.
D.
The annual fee is $19.99.
The correct answer is below:
Name
4.
Banl
two
Line m is the perpendicular bisector of AB and
intersects the segment at point P. Which
statement is true?
(A)
© AP = 2 AB
PA & BP
(В)
AB = AP
BP = 2 AB
Answer:
a)
Step-by-step explanation:
PA ≅ BP
Perpendicular bisector means it divides the line into two equal part at 90°
Can somebody help me. Will mark brainliest.
Answer:
4) in question it should be triangleMNP and NOP
reason by SSS axiom
5) reason is as the angles of congurent triangles are equal)
Which of the following is NOT an arithmetic sequence?
A. 4, 7, 10, 13, 16
B. 15, 9, 3, -3, -9
C. 2, 4, 8, 16, 32
D. 1, 2, 3, 4, 5
Answer:
C. 2, 4, 8, 16, 32
Step-by-step explanation:
C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot
SOH-CAH-TOA
sin Q = Opposite = 26
hypotenuse x
sin 54 = 26
x
x sin 54 = 26
x sin 54 = 26
sin 54 sin 54
x = 26 = 32.1378 ≈ 32.1 feet
sin 54
The cost of purchasing gasoline varies directly with the number of gallons purchased. Kali paid $52.90 for 23 gallons of gas. What is the direct variation equation that relates y, the cost of a gasoline purchase, to x the number of gallons?
Answer:
y = 2.3x
Step-by-step explanation:
y = kx
52.9 = 23x
52.9 ÷ 23 = x
x = 2.3
Pls help 25 only and brainlist
Answer:
2x+2
Step-by-step explanation:
Perimeter = 2 * width + 2 * length
12x+10 = 2(4x+3) + 2 * width
12x+10 = 8x + 6 + 2w
4x+4 = 2w
2x+2 = w
PLEASE HELP I WILL GIVE BRAINLIEST!!!! Please help
Answer:
where is the question though?
Step-by-step explanation:
Answer:
what's your question ❓❓❓❓
..... . ..,m..... ...
..
.
PLES REASON IT I NEED IT QUICKLY
Customers return 14% of their gifts during the holiday season. How many gifts were returned during the holiday season if 500 gifts were purchased?
Answer:
70 gifts were returned
Step-by-step explanation:
14%* 500
0.14*500= 70
divide the polynomial:
9x^2-21x-20 / x-1
Answer:
[tex]9x-12-\frac{32}{x-1}[/tex]
Step-by-step explanation:
Divided using polynomial division. Hope this helps!
