Answer: The age of the fossilized leaf is 13829 years.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant = 100
a - x = amount left after decay process = [tex]\frac{18}{100}\times 100=18[/tex]
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]
[tex]k=\frac{0.693}{5600years}=0.00012years^{-1}[/tex]
b) for finding the age
[tex]t=\frac{2.303}{0.00012}\log\frac{100}{18}[/tex]
[tex]t=13829years[/tex]
The age of the fossilized leaf is 13829 years.
The fossilized leaf is 13855 years old.
Half life is given by:
[tex]N(t)=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\Where\ N(t)\ is \ the \ value\ of\ the\ substance\ after\ t\ years,N_o\ is\ the\\original\ value\ and\ t_\frac{1}{2} \ is\ the\ half\ life[/tex]
Given that half life = 5600 years, N(t) = 18% of normal amount = 0.18N₀. Hence:
[tex]0.18N_o=N_o(\frac{1}{2} )^\frac{t}{5600} \\\\0.18=(\frac{1}{2} )^\frac{t}{5600}\\\\ln(0.18)=\frac{t}{5600}ln(0.5)\\\\t=13855\ years[/tex]
The fossilized leaf is 13855 years old.
Find out more at: https://brainly.com/question/4483570
A)
With one toss of a single number cube, what is the probability of rolling a number less than three
B)
write the complement of the event in A and find it's probability
Answer:
A) 2/6
b)1
Hope it helps..I am not that sure with the B one.
Mark me as Brainliest PleaseI need help wit this
Answer:
i don't know how to explain the answew to you
Step-by-step explanation:
Work out the circumference of this circle.
Take it to be 3.142 and give your answer to 1 decimal place.
4 cm
Answer:
circumference=2\pi r
25.12cm
Step-by-step explanation:
hope this helps
The required circumference of the given circle is 25.12 cm as shown figure.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
We have been given data as follows:
The radius of the circle (r) = 4 cm
Circumference of the circle = 2πr
Substitute the values in the above formula and we get
Circumference of the circle = 2π(4)
Circumference of the circle = 3.14(8) = 25.12 cm
The required circumference of the given circle is 25.12 cm.
Learn more about the Circumference of the circle here:
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Mason used 1/6 of a liter of milk to make 1/8 of a jug of tea. How much milk in liters is required to fill the jug
Answer:
1.33 liters of milk are required to fill the jug.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the amount of milk required to fill 1 jug of tea given that Mason used 1/6 of a liter of milk to make 1/8 of a jug of tea:
1/6 f a liter of milk → 1/8 of a jug of tea
x ← 1 jug of tea
x=(1/6*1)/1/8
x=(1/6)/(1/8)
x=(1*8)/(6*1)
x=8/6
x=4/3=1.33
According to this, the answer is that 1.33 liters of milk are required to fill the jug.
A group of friends wants to go to the amusement park. They have $201.75 to spend on parking and admission. Parking is $5.75, and tickets cost $24.50 per person, including tax. How many people can go to the amusement park?
Answer:
8 friends
Step-by-step explanation:
The group of friends will park only once, so you only need to add $5.75 once, but you still need to add the amount of money for all the people who are in the car, 24.50 x 8 is equal to exactly 196 dollars, so 196 + 5.75 is equal to exactly 201.75, which is the amount of money the group has, so 8 people can come.
Answer: The answer is 8 :)
Step-by-step explanation: Hope this helps!
(my sister needs help with this)
Peter says 3
4 of a pizza is always the same
as 6
8 of a pizza. Nadia says while 3
4 and 6
8 are
equivalent fractions, 3
4 and 6
8 of a pizza could
represent different amounts.
Who is correct? Explain. Use a drawing to
justify your argument.
Use a counterexample to explain who
is correct
Answer:
Nadia is right
Step-by-step explanation:
if you use cross multiply 3/4 6/8. 8 x 3 = 24, 6 x 4 = 24, the two answer are both 24.
Please solve I will give brainliest to whoever solves correct and is first to solve
Answer:
[tex]A=1/2 \pi r^2[/tex]
[tex]1/2(3.14)(5.5)^2[/tex][tex]1/2(3.14)(30.25)[/tex][tex]=47.49[/tex][tex]A=47.5~yd^2[/tex]
----------------------hope it helps..have a great day!!Solve for x ! giving brainly
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
[tex]3x + 5 + 9x - 19 = 180[/tex]
[tex]12x - 12 = 180[/tex]
[tex]12x = 180 + 12[/tex]
[tex] \frac{12x}{12} = \frac{192}{12} [/tex]
[tex]x = 16[/tex]
hope it helps you
Five more than twice a number is nine.
What is the number?
Answer:
nine
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
The number is 2.
Multiply 2 by 2 (twice the number) and you'll get 4. Add 5 (five more) and you'll end up with 9.
What is the measure of 2 ABC ?
B
a
60°
60°
A
С
А
30°
B
60°
90°
D impossible to determine
Answer:
60 B
Step-by-step explanation:
You can do 180-60-60=60
Or it is an equilateral triangle meaning all angles are equal
what is 2562 times 7287
Answer:
18,669,294
Step-by-step explanation:
Answer: it’s 18,669,294
Step-by-step explanation:
which expression is equivalent to 6p + 6p?
A 12p
B 36p
C 12 + 2p
D p ^6
Answer:
A
Step-by-step explanation:
They both share the same variable p, therefore you add the numbers to get the answer
Answer:
=12p
Step-by-step explanation:
Madelyn is working two summer jobs, making $8 per hour washing cars and $10 per
hour clearing tables. Madelyn must earn no less than $150 this week. Write an
inequality that would represent the possible values for the number of hours washing
cars, w, and the number of hours clearing tables, C, that Madelyn can work in a given
week.
I NEED HELP
Answer:8w+10c_>150
Step-by-step explanation:
Solve the inequality 4/3 < -8/3y.
Answer:
The answer to this inequality is y < -1/2.
Hope this could help you! (*＾წ＾*)
Answer:
[tex]y<-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{4}{3}<-\frac{8}{3}y[/tex]
[tex]-\frac{8}{3}y>\frac{4}{3}\\[/tex]
[tex]\left(-\frac{8}{3}y\right)\left(-1\right)<\frac{4\left(-1\right)}{3}[/tex]
[tex]\frac{8}{3}y<-\frac{4}{3}[/tex]
[tex]3\cdot \frac{8}{3}y<3\left(-\frac{4}{3}\right)[/tex]
[tex]8y<-4[/tex]
[tex]\frac{8y}{8}<\frac{-4}{8}[/tex]
[tex]y<-\frac{1}{2}[/tex]
Hope this helps!
All the love, Ya boi Fraser :)
Find the percent of increase or decrease. Round to the nearest percent.
1 point
1) Keelin's hourly rate went from $9.50 per hour to $10.25 per hour. What is
the percent increase
Please help -2(x+10)
Answer:
-2x-5
Step-by-step explanation:
By distributing the -2 to the x+10 we get, "-2x-5". This is our final simplified answer.
Answer:
−2
what’s the ratio 3:12:9 in its simplest form.
Answer:
1:4:3
Step-by-step explanation:
Hope that helps.
Have a good day and stay safe!
Answer: 1 : 4 : 3
Step-by-step explanation:
Their greatest factor is 3 so you had to divide all by 3.
3 ÷ 3 = 1
12 ÷ 3 = 4
9 ÷ 3 = 3
In ΔQRS, the measure of ∠S=90°, RS = 39 feet, and SQ = 92 feet. Find the measure of ∠Q to the nearest degree.
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
Find the valué of (3x10^4)+(2x10^2)+(4x10)
Answer:30240
Step-by-step explanation:
10 points
A line crosses the coordinates (-4, 4) and (2, -5). What is the slope of the
line? *
3/2
-3/2
2/3
-2/3
h
Answer:
b
Step-by-step explanation:
5x(12-4)+3=?
PLEASE HELP WILL MARK BRAINLIEST!!!!!
Answer:
D. 43
Step-by-step explanation:
first do everything inside paranthesis (12-4)=8
then multipy 8 by 5= 40
40+3=43
hope this helps
Answer:
43
Step-by-step explanation:
what's
[tex]76 \div 4\times3[/tex]
76 divided by 4 = 19
19 x 3 = 57
Answer = 57
Find all solutions of the equation in the interval [0, 2pi).
(2sinx-sqrt2)(3cscx-2sqrt3) = 0
At what value of x does the graph of the following function F(x) have a
vertical asymptote?
F(x)= 1/x+2
A. 2.
B. -2
C. -1
D. 0
Answer:
B
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 2 = 0 ⇒ x = - 2
The equation of the vertical asymptote is x = - 2
what is the domain of the function, f(x)?
Answer:
B. 3≤x≤ 6
Step-by-step explanation:
When a question asks for the domain of a function, it is asking for all possible x-values. Look at the graph of the function- there are no points on the graph where x=1, so we know that C and D are definitely wrong since they include 1. The two that are left look very similar, but A means "3 is greater than or equal to x, x is greater than or equal to 6." This has to be wrong because it says that 3 is greater than 6, which is obviously incorrect. The only answer left is B, which is correct because it includes all possible x-values.
lmk if this is incorrect or hard to understand, hope this helps!!!
(btw dont click on unknown links like the one in the other answer)
If the measure of each exterior angle is twice as large as each interior angle, the polygon must be a regular
Answer:
y+o+u+t+u+b+e +biggie smalls
Step-by-step explanation:
The polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.
What is a regular polygon?
A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
As we know, the interior angle is given by:
= 180(n - 2)
Sum of the exterior angle is 360 degree
(360/n) = 2[180(n - 2)]/n
360 = 360(n - 2)
n = 3
Number of sides n = 3
Polygon will be a triangle
Thus, the polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.
Learn more about the regular polygon here:
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The first three terms of a geometric sequence are given. Find the 8th term. Round to the nearest thousandth (if necessary).
2,4,8, ...
Answer:
2 4 8 16 32 64 128 256
Step-by-step explanation:
its doubleing evrey time
Answer:
7.594
Step-by-step explanation:
Which pair of terms are like terms in the expression 3x + 2 – x?
Answer:
3x and x
Step-by-step explanation:
because you can put them together to make 2x+2
Answer:
3x and -x
Step-by-step explanation:
Like terms are terms that are in the same form. So essentially, 3x and -x are both able to be added and subtracted from each other in this case.
What’s the answer??????
Answer:
SORRY I DONT KNOW THE ANSWER TO THISSSS
See how it feels? stop answering people questions with " Sorry I dont know the answer to this"
Step-by-step explanation:
How many 1/3-yard long pieces of wood can be cut from 1-yard long piece of wood?
Answer:
3 pieces
I hope this helps
Step-by-step explanation:
X(1/3) = 1
x/3 = 1
X= 1×3 = 3