A farmer in China discovers a mammal
hide that contains 37% of its original
amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t=0)
N = amount of C-14 at time t
k= 0.0001
t = time, in years
Answers
Answer:
Step-by-step explanation:
I'm going to take a giant leap here and guess that you are looking for how old this mammal hide is. At least that's what I'm going to work out for you. Filling in the formula is relatively easy as long as we remember that the initial amount of hide was 100%:
[tex]37=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].37=e^{-.0001t}[/tex] In order to get that t down from its current position, we have to take the natural log of both sides. The reason we do natural log as opposed to common log is because the natural log will cancel out the e:
[tex]ln(.37)=ln(e^{-.0001t})[/tex] and again, because the log cancels out the e we have:
ln(.37) = -.0001t and divide both sides by -.0001 to get
t = 9942.5 years
Answer:
answer is 9943
Step-by-step explanation:
Related Questions
John finds that the sum of two numbers is 24 and their difference is one sixth of the
sum. Find the smallest number between the two numbers.
Answers
Given:
The sum of two numbers is 24 and their difference is one sixth of the sum.
To find:
The smaller number between the two numbers.
Solution:
Let x and y be the two numbers where x>y.
The sum of two numbers is 24.
[tex]x+y=24[/tex] ...(i)
Their difference is one sixth of the sum.
[tex]x-y=\dfrac{1}{6}\times 24[/tex]
[tex]x-y=4[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]2x=28[/tex]
[tex]x=\dfrac{28}{2}[/tex]
[tex]x=14[/tex]
Putting [tex]x=14[/tex] in (i), we get
[tex]14+y=24[/tex]
[tex]y=24-14[/tex]
[tex]y=10[/tex]
The two numbers are 14 and 10.
Therefore, the smaller number between the two numbers is 10.
The inequality x ≤ -8 would represent which of the following values?
{8, 5, 0}
{-6, -7, -8}
{-10, -9, -8}
None of these choices are correct.
Answers
Answer:
{-10. -9, -8}
Step-by-step explanation:
x ≤ -8 would be all values of x less than or equal to -8
x = -8, -9, -10
Find the center and radius of the circle. Help !!
Answers
Answer:
the center is -1,1 and the radius is 4 i think
Step-by-step explanation:
What is the answer to this question?
Answers
Answer:
yeah,I think it's 16 ...
if each square is 2cm long then the perimeter is
Answers
Answer:
for each square the perimeter would be length times width. so 2x2 =4
Now if there are multiple squares then the answer would be different. but 4 is the answer for the individual square.
The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?
0.8 = 0.8
–0.8 = –0.8
3 = 3
–3 = –3
Answers
Hello,
Answer B : -0.8=-0.8
[tex]n=-2\\1.4*n+2=2*n+3.2\\\\so:\\1.4*(-2)+2=?\ 2*(-2)+3.2\\\\-2.8+2=\ ? -4+3.2\\\\-0.8=-0.8\\[/tex]
The last line of the justification is –0.8 = –0.8
Solving equationsGiven the following equation
1.4n + 2 = 2n + 3.2.
Collect the like terms
1.4n - 2n = 3.2 - 2
Substitute n = -2 into the expression
1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = -0.8
Hence the last line of the justification is –0.8 = –0.8
Learn more on equation here: https://brainly.com/question/475711
#SPJ9
which choice is equivalent to the expression below when x less than or equal to 0
Answers
Answer:
b
Step-by-step explanation:
Angle A and B are supplementary angles. The measure of angle B is twice the measure of angle A minus 24. Find the measure of the angle A and B.
Answers
Answer:
A = 58
B = 112
Step-by-step explanation:
A + B = 180 Supplementary angles
B = 2A - 24 Given
Substitute for B in the first equation
A + 2A - 24 = 180
3A - 24 = 180 Add 24 to both sides
3A = 180 + 24 Combine the right
3A = 204 Divide both sides by 3
A = 204/3
A = 68
B = 2A - 24
B = 2*68 - 24
B = 136 - 24
B = 112
help I need help with my homework no link please BTW its 9th grade work I need help with number 1 a) I still need help with it
Answers
Answer:
you need to learn how to "prime factor" numbers....
primes are 2,3,5,7,11,13,17....
they go on forever. ALL whole numbers can be "broken down" into a bunch of primes multiplied together.
take the fractions (top and bottom) and start dividing them bu the smallest prime, and going up until all the numbers multiplied make the original number...
15 = 3 * 5
24= 2 * 12 = 2 * 2 * 6 = 2* 2* * 2 * 6
thus [tex]\frac{15}{24}[/tex] = [tex]\frac{3 * 5 }{2* 2* 2* 3}[/tex] now just cancel all the SAME numbers from to to bottom
"pair them up" .... in this case only one of the threes in the bottom "takes out" one of the threes in the top
result [tex]\frac{5}{2*2*2 } = \frac{5}{8}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\frac{21}{35}[/tex]
21= 3 * 7
35= 5* 7
[tex]\frac{3*7}{5*7} = \frac{3}{5}[/tex]
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $214.25 to spend on parking and admission. Parking is $6.75, and tickets cost $20.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Answers
Answer:
10 friends can go to the amusement park
Step-by-step explanation:
214.25 = 6.75 + 20.75x
207.50 = 20.75x
x = 10 friends can go
3x
2x
x + 30
The diagram shows a triangle.
The sizes of the angles, in degrees, are
3x
2x
x + 30
Work out the value of x
Answers
Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
Answers
Answer:
f=x−32
Step-by-step explanation:
Subtract 3232 from both sides.
Answer:
f=32.2m
Step-by-step explanation:
got it right on edge
HOW TO I REMEMEBER MULTIPLICATION (I NEVER PAYED ATTENTION IN MATH LOL) AND I CANT SEEM TO REMEMEBER IT :(
I NEED TO REMEMBER 1-12
Answers
Jorge compro en la papeleria 3 Borradores y 2 lápices, por ellos pago $47.50. si la suma de lo que cuesta un borrador y un lápizes $20 ¿cuanto vale cada borrador y cada lápiz?
Por favor es urgente
Answers
Answer:
Cost of each pencil = $12.5
Cost of each eraser = $7.5
Step-by-step explanation:
Given:
Number of eraser bought = 3
Number of pencil bought = 2
Total amount paid = $47.50
Cost of one pencil and one eraser = $20
Find:
Each cost
Computation:
Let;
Cost of each eraser = e
Cost of each pencil = p
So,
e + p = 20
e = 20 - p .................................... eq1
3e + 2p = 47.50
3(20 - p) + 2p = 47.50
60 - 3p + 2p = 47.50
-p = -12.5
Cost of each pencil = $12.5
e = 20 - p
e = 20 - 12.5
e = 7.5
Cost of each eraser = $7.5
A man borrows $800 for 2 years at a simple interest rate of 20%. What is the total amount that must be repaid
Answers
Answer: [tex]\$1120[/tex]
Step-by-step explanation:
Given
Man borrows $800 for 2 years
Rate of interest is R=20%
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
Insert the values
[tex]\Rightarrow S.I.=\dfrac{800\times 20\times 2}{100}\\\\\Rightarrow S.I.=\$320[/tex]
So, total payable amount is
[tex]\Rightarrow 800+320\\\Rightarrow \$1120[/tex]
Find the measure of the missing angle using the triangle angle sum theorm
Answers
Answer:
31°
Step-by-step explanation:
The theorem states that all angle sums of any triangle add up to 180°.
128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.
Please help me w the answer
Answers
Answer:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Step-by-step explanation:
In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.
The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:
[tex]\frac{()}{(x-4)(x-5)}[/tex]
The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled
[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve children. (Hint: 1 cup = 8 fluid ounces and 1 pint = 16 fluid ounces.)
Answers
Answer:
20 children
Step-by-step explanation:
We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.
Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.
Answer:
20 childrenyjvvvvggguggggyg
I need help pls !!!!!!!
Answers
How many marbles do you need to be able to arrange them into the shape of an equilateral triangle with 75 rows
Answers
Answer:
2850
Step-by-step explanation:
1+2+3+4+5+6+7...74+75
just add up all the numbers from 1 to 75
Subtract 11.485-18.38
Answers
Answer:
-6.895
Step-by-step explanation:
11.485
-18.38
______
-6.895
Given: ABCD is a parallelogram.
Prove: ∠A and ∠D are supplementary.
Parallelogram A B C D is shown.
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answers
Answer:
AB = DC So ∠A and ∠D are bigger then 90%
Answer:
E2020
Step-by-step explanation:
HELP ME PLZ!!
-x - 1 = 221 + 2x
Answers
Answer:
[tex]-x\:-\:1\:=\:221\:+\:2x[/tex]
[tex]-x-1+1=221+2x+1[/tex][tex]-x=2x+222[/tex][tex]-x-2x=2x+222-2x[/tex][tex]-3x=222[/tex][tex]\frac{-3x}{-3}=\frac{222}{-3}[/tex][tex]\hookrightarrow Answer:x=-74[/tex]
-------------------------
hope it helps...
have a great day!!
( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)
Answers
Solve by combining like terms
line I is parallel to line m.if the maesure of angle 6 is 75 what is the measure of angle 3
Answers
Answer:
105
Step-by-step explanation:
l is parallel m so angle 3+angle 6=180
Can ya’ll help me out
Answers
Answer:
Step-by-step explanation:
[tex]volume of cone=\frac{1}{3} \pi r^2h\\=\frac{1}{3} \pi (4)^2 \times 3\\=16 \pi \\\approx 50 in^3[/tex]
Answer:
answer is C 50 in³are you fine with it
The diagram is not drawn to scale
Find the value of x to the nearest tenth.
Options:
A: 25.0
B: 16.0
C: 9.0
D: 17.3
Answers
Answer:
3x-2 = 25 3x = 25+2 3x = 27 x =9the answer is option cUse the factors of the numbers to explain why
45 x 56 = 5 x 7 x 8 x 9
Answers
Answer:
45 x 56=
2520 and
5 x 7=35*8=280*9=2520
2520=2520
Hope This Helps!!!
Match each percent with the fraction or decimal equivalent. 5% 0.25 15% 0.07 6.5% 1 20 25% 0.065 7% 3/20
Answers
Answer:
5% = 1/20
15% = 3/20
6.5% = 0.065
25% = 0.25
7% = 0.07
Step-by-step explanation:
I hope this helps! Just ask me if you have any questions.
Have a nice dayy! :)
Answer:
.05 25% .15 7% .065 100% 2000% .25
Step-by-step explanation:
Percentages to decimals :
example
5% = .05
First remove the % sign: 5
Where is the decimal? Here : 5.00
Now move the decimal to the left two places. Fill the gaps with zeros : .05
Another way to do it is by divide the number by 100. Use a calculator if necessary.
Example 2: 6.5%
Move decimal two places to left: .065
Example 3: .56%
Move decimal to places to the left: .0056
Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.
Example: .25 becomes 25%
.07 becomes 07% or just 7%
I need help with my math work!!!!!!
Answers
Answer:
The answer is the first one
Step-by-step explanation: