Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]
[tex](1-r)^{5600} = 0.5[/tex]
[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]
[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]
[tex]1 - r = 0.9999[/tex]
So
[tex]A(t) = A(0)(0.9999)^t[/tex]
Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which [tex]A(t) = 0.02A(0)[/tex]. So
[tex]A(t) = A(0)(0.9999)^t[/tex]
[tex]0.02A(0) = A(0)(0.9999)^t[/tex]
[tex](0.9999)^t = 0.02[/tex]
[tex]\log{(0.9999)^t} = \log{0.02}[/tex]
[tex]t\log{0.9999} = \log{0.02}[/tex]
[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]
[tex]t = 39118[/tex]
The estimated age of the skull is 39118 years.
Whoever can answer this will get brainlyest
Answer:
The proportion is [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex], and the length of the unknown side is [tex]\frac{245}{9}[/tex] or 27.22 approximately rounded to the nearest hundredth.
Step-by-step explanation:
Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is [tex]\frac{35}{108}[/tex]. MK and KF are corresponding sides, and their proportion is [tex]\frac{x}{84}[/tex] in which x represents the missing side. The proportions are equal, so [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex]. Multiply both sides by 84 to isolate the variable, and you'll get [tex]x = \frac{35*84}{108}[/tex], which is [tex]\frac{2940}{108}[/tex] or [tex]\frac{245}{9}[/tex].
Help it’s due today plz
Encryption Matrices are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take < space > = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes [1 2 15 18 20 0 13 9 19 19 9 15 14]. To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 × 2 matrix 3 4 1 2 . We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A. Encrypted Matrix = 3 4 1 2 1 15 20 13 19 9 14 2 18 0 9 19 15 0 = 11 117 60 75 133 87 42 5 51 20 31 57 39 14 , which we can also write as [11 5 117 51 60 20 75 31 133 57 87 39 42 14]. To decipher the encoded message, multiply the encrypted matrix by A−1. The following exercise uses the above matrix A for encoding and decoding. Use the matrix A to encode the phrase "GO TO PLAN B".
Answer:
ok
Step-by-step explanation:
(9, 19) (2, 16)
Write the coordinates as decimals or integers.
Answer:
In decimal 0.428571428
Step-by-step explanation:
The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9
The slope = (16 - 19)/(2 -9)
The slope = (-3)/(-7)
The slope = 0.428571428
So in decimal form the coordinates are going to be written as 0.428571428
Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.
Can you answer this for me thank you
Please help. And show your work or your content answer will be removed and your points will be taken away from the one's you get from me.Thank you!
Answer:
“It’s not hard to steal points”.........................................so thx for points....................................bye
Step-by-step explanation:
HELP ME QUICKLY AND PLS EXPLAIN HOW YOU GOT YOUR ANSWER! ILL EVEN GIVE BRAINLIEST<3
Laura wants to cut the board into equal pieces so that each piece is 5/8 foot long. How many pieces will she have? (The board is 12ft)
Answer:
Step-by-step explanation:
This is a straight forward division problem.
12/(5/8).
The rule for division of fractions is: invert the denominator and multiply.
For this problem: 12/(5/8) = 12 * 8/5 = 96/5.
whats 8 x 2 40 points
Answer:
Error hehehheheheh
Step-by-step explanation:
crown me please hehehhhe hahahahahh hohohoohoho points more more more more points
Help me please!!
15 points!
Answer:
Hi Hi really sorry may i get some points i need them to give it to other people cuz some people want points, ik its not the answer u wanted sorry but hope u get the answer soon!
Step-by-step explanation:
What do all Quadrilaterals have in common?
Answer:
The number of edges
Step-by-step explanation:
quad means 4 so all quadrilaterls have 4 sides.
Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin.
Find the displacement vector of the object.
d = 〈 _,_ 〉
Find the work done in moving the object.
W = ___ Joules
Answer:
-3,9
30
Step-by-step explanation:
Edge 2021
The displacement is (-3, 9)
Work done= 30 Joules
What is vector?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Given:
F= (-1, 3)
point (3, -9)
So, displacement from origin to (3, -9)
d= (0-3, 0-(-9))
d= ( -3, 9)
Work done = F. d
= 3 + 27
= 30 joules.
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The cost of a new 19-inch television would be around
a) $40.
b) $400.
c) $4,000.
Answer:
A
Step-by-step explanation:
They are typically around $100 or less. closest would be 40
Help
Don’t use for points and also be clear or I will take the points back
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
I believe it is 47.
Step-by-step explanation: The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD. then subtracted it and applied it to the other side, keep in mind I am only a freshman and it might be wrong super tiny chance but it might.
What is the common factor in 14xy – 25yz?
1. z
2. x
3. xyz
4. y
Answer:
it would be y since both are common there
Types of operating system
Answer:
unary and binary
Step-by-step explanation:
Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the other hand, take two values, and include addition, subtraction, multiplication, division, and exponentiation.
Answer:
multiprocessing operating system
batch operating system
realtime operating system
multi tasking operating system
mobile operating system
network operating system
8.
Tom works 1 3/4 hours a day at a café. He is paid $8 an hour. How much
money is he paid in 10 days?
Answer:
1 3/4 x 8 = 14. In 10 days, he will be paid the amount of one day x 10. 14 x 10 = 140. Tom will be paid $140 in 10 days
Step-by-step explanation:
How many fourths are in 3 fourths?
Answer:
12 one fourths
Step-by-step explanation:
Answer:
12 one fourths
Step-by-step explanation:
There 3 × 1 1/4 = 3 × 4 = 12 one fourths in 3
Jeff had 20 $ he spent 1/8 on his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left
Answer:
9.50$
Step-by-step explanation:
First, multiply 20 by the given fractions
20*1/8=2.5
20*2/5=8
Add the two together to get the total amount of money Jeff spent, 10.5, then subtract 10.5 from 20 to get the total amount he has left, 9.5
Answer:
$9.50
I did a test with this question and the correct answer was 9.50
a punch recipe calls for 3 liters ginger ale, 1.5 liters tropical fruit juice. and 500 milliliters pineapple juice. how much punch will the recipe make?
Answer
189
Step-by-step explanation:
just is
Translate the expression: Four-fifths of the sum of 4 and y (pls hurry it's timed)
[tex]\frac{4}{5}(4+y)[/tex]
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.
The explicit rule for the geometric sequence is aₙ =
Step-by-step explanation:
i guess math is the hardest subject
Answer:
The answer is aₙ = 2,500 (6/5)^n-1
Hope i helped, have a wonderful day! :D
I need help on this question please
Answer:
dont mind me im just getting my points back
Step-by-step explanation:
how do I find b of the traingal
Answer:
Pythagorean Theorum:
16ft
Step-by-step explanation:
pythagorean theorum states a^2+b^2=c^2
it only works for right triangles, c is the hypotenuse, a and b are the legs
so to find b we plug in the info we have!
7.8^2+b^2=17.8^2
next we simplify:
60.84+b^2= 316.84
subtract 60.84 from both sides to isolate the variable:
b^2=256
square root both sides
b=16
16ft is the answer
I hope this helps!
50 de 100 ün en sade halı acil
Answer:
srry buddy I don't understand your language
I am from India
can ask it in English
then I could help you
I'm having struggles with this, it would be much appreciated for assistance (:
I would be happy to help, but there is no problem
Step-by-step explanation:
Write the exponent for 3 x 3 x 3 x 3 x 3 (shift 6 to make the ^ sign). *
Answer:
3^5Step-by-step explanation:
The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
California is at higher risks for earthquakes, because it near the Pacific Ocean
What is the sum of the matrices shown below?
Answer:
[tex] \red{ \bold{\begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]
Step-by-step explanation:
[tex] \begin{bmatrix} 4 & 19 & - 5\\ \\ 7 & 0 & - 14\end{bmatrix} + \begin{bmatrix} -8 & 7 & 0\\ \\ - 1 & 17 & 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 + ( - 8) & 19 + 7 & - 5 + 0\\ \\ 7 + ( - 1) & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 - 8 & 19 + 7 & - 5 + 0\\ \\ 7 - 1 & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ \purple{ \bold{ = \begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]
[tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex] is the sum of the given matrices.
What is matrices?There are columns and rows in a matrix. The dimensions or size of a matrix are determined by these rows and columns. There are many different kinds of matrices, including row, column, null, square, diagonal, upper triangular, lower triangular, symmetric, and antisymmetric matrices.
Given two matrices,
[tex]\left[\begin{array}{ccc}4&19&-5\\7&0&-14\\\end{array}\right][/tex] and [tex]\left[\begin{array}{ccc}-8&7&-0\\-1&17&6\\\end{array}\right][/tex]
We need to find the sum of this given matrices
The only matrices that may be added together are ones of the same size. As a result, you can only add matrices if they are both m × n. For example, you can add two or more 3 × 3, 1 × 2, or 5 × 4 matrices. You cannot add a 2 × 3 and a 3 × 2 matrix, a 4 × 4 and a 3 × 3, etc. The number of rows and columns of all the matrices being added must exactly match.
thus,
Sum of matrices = [tex]\left[\begin{array}{ccc}4 -8&19 +7 &-5 + 0\\7 -1&0 + 17&-14 +6\\\end{array}\right][/tex]
Sum of matrices = [tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex]
Therefore, option D is correct.
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Yesterday, 72 students from Red Rock Middle School went on a trip to the zoo. There are a total of 80 students in the school.
What percent of the students in the school went to the zoo2
O A 72%
OB. 80%
Oc88%
OD. 90%
OE 92%
pls sorry ty
3 1/8 - 7/12
NEED HELP ASAP!!! Plz
Step-by-step explanation:
hope this right.but if its not,im so sorry