Carbon-14 has a half-life of 5,730 years. If the age of an object older than 50,000 years cannot be determined by radiocarbon dating, then

* carbon-14 levels in a sample are undetectable after approximately ten half-lives.
* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
* the half-life of carbon-14 is too long to accurately date the object.
* a radioisotope with a shorter half-life should be used to date the object.

Answers

Answer 1

* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
Nine half-lives pf carbon 14 is 51,570 years.

Source:
https://en.wikipedia.org/wiki/Radiocarbon_dating

Answer 2

C-14 has a half-life of 5730 years. Let's figure out how many half lives would pass in 50,000 years. We take 50,000 and divide it by 5730 = 8.72 half-lives. This is fairly close to 9. The answer is B) C-14 levels in a sample are undetectable after approximately nine half-lives.

Related Questions

Suppose that a system has 5000 grasshoppers. how many hawks would be expected?

Answers

Probably 2500 or less because they dont need that much hawks.

Which fraction is NOT equivalent to 8 1/2 ? A) 2 3 B) 24 36 C) 4 6 D) 6 10

What is 5 x 2/3?

A) 3 1/3

B) 3 2/5

C) 5 2/3

D) 10/15

Answers

None of the fractions are equivalent on the first one.

The answer for the second question is A. 3 1/3. 5/1 x 2/3 =10/3 10/3=3 1/3

75 less than twice a number

Answers

I think the number is 75 because 75 x 2 = 150 - 75 = 75.

How many real number solutions does the equation have?
0=5x^2+2x-12
A- one solution
B- two solution
C-infinity many solutions
D-no solutions

Answers

b is the answer to this

5x^2+2x-12=0 is a quadratic equation. For any ax^2 + bx + c = 0, the solution can be found by completing the square to find the equations
x=(-b+sqrt(b^2-4ac))/2a and x=(-b-sqrt(b^2-4ac))/2a
Substituting using the equation 0=5x^2+2x-12
x=(-2+sqrt(2^2-4(5)(-12)))/(2(5)) and x=(-2+sqrt(2^2-4(5)(-12)))/(2(5))
Since the sqrt(244) is a real number, there are two real solutions.

find the area of the circle .Leave your answer in terms of pie (3.14) the area is 4.1m .I need help on this question

Answers

The area of a circle = pi x radius^2. If the area is 4.1m, then to transfer that into terms of pi you would simply divide 4.1 by pi. Pi is infinite, but is typically simplified to 3.14, 4.1/3.14 = 1.31. So the area in terms of pi is 1.31 x pi.

Answer:

Area of the circle = 1.3π m²

Step-by-step explanation:

Area of the circle is given by the formula A = πr²

It is given that area of the circle is 4.1 m² and we have to convert it in the terms of π.

Now to convert the area in terms of π we will multiply the area by π and divide the area by 3.14.

⇒ Area×π / 3.14 = 4.1 × π/3.14 = 1.30π

Therefore answer is area of the circle = 1.30π m²

Triangle ABC and Triangle DEF are similar. For triangle ABC, AB = 2x , AC = 24 inches and BC = 20. For triangle DEF, EF = 5 and DF = x - 2 . What is the value of x?

Answers

x=8.

Following the similarity statement, we know that AC is to DF as BC is to EF. The ratio would be:

24/(x-2) = 20/5

Cross multiply:
24*5 = 20(x-2)

Use the distributive property:
120 = 20x - 40

Add 40 to both sides:
120+40 = 20x - 40 + 40
160 = 20x

Divide both sides by 20:
160/20 = 20x/20
8 = x

A roped off area of width x is created around a 4-foot by 6-foot rectangular museum of display of Native American artifacts. The combined area of the display and the roped-off is 120 square feet. Find the width.

Answers

Let
x----------> width a roped off area

we know that
(4+2x)*(6+2x)=120
then
4*6+4*2x+2x*6+2x*2x=120 ---> 24+8x+12x+4x²=120 -------> 4x²+20x+24=120
4x²+20x-96=0

using a graph tool---------> to calculate the quadratic equation
see the attached figure

the solution is
x=3 ft

the answer is
the width a roped off area is 3 ft

The width of the roped off area around the museum display is 4 feet.

To find the width of the roped off area around the museum display of Native American artifacts, we need to solve for x in the area equation. The area of just the display is 4 feet by 6 feet, which is 24 square feet. Since we know the combined area of the display and the roped-off area is 120 square feet, the equation is:

Area of display + Area of roped-off region = Total Area

(4)(6) + ((4 + 2x)(6 + 2x) - (4)(6)) = 120

24 + (24 + 4x + 12x + 4x2) - 24 = 120

Simplifying, we get:

4x² + 16x - 96 = 0

Divide by 4:

x² + 4x - 24 = 0

Factor the quadratic equation:

(x + 6)(x - 4) = 0

Setting each factor equal to zero gives us two potential solutions:

x + 6 = 0
or
x - 4 = 0

Therefore, x can be -6 or 4. Since a width can't be negative, the only logical solution is:

x = 4 feet

The width of the roped-off area is 4 feet.

Rico is making 4 batches of salsa.EAxh batch needs 2/3 cup of corn.He only had a 1/3 cup measure.How many times must rico measure 1/3 cup of corn to have enough for all of the salsa

Answers

He would need to measure the 1/3 cup of corn 2 times

Find the simple interest. $7,064 at 6.5% for 8 months

Answers

the answer is 57.395

Simple Interest can be calculated using the formula I=Pr t

Here I= interest earned ,P= Principal ,R= rate of interest ,t= time in years.

It is given Principal P=$7,064

Rate r=6.5% =0.065

Time t= 8 months =[tex] \frac{8}{12} =\frac{2}{3} [/tex] years

Substituting these values in I = P r t

I =(7064)(0.065)([tex] \frac{2}{3} [/tex])

Solving for I

I=306.11

interest earned on $7,064 at 6.5% for 8 months is $306.11

Ben walks at a rate of 3 miles per hour. he runs at a rate of 6 miles per hour. in one week, the combined distance that he walks and runs is 210 miles.
b. (using 3x + 6y = 210 with x representing walk and y representing run) ben runs for 25 hours. for how many hours does he walk?

Answers

25 x 6 is 150 out of 210 miles therefore Ben ran for 150 miles and walked for 60 miles

which do you think would seat more people a 4ft by 6 ft rectangular table or a circular table with a diameter of 6 ft? How many people would sit at each table? Explain your reasoning.

Answers

To determine which seating arrangement would be able to seat more people you will find the distance around each table.

For the rectangle, you will find the perimeter:

P = 2l + 2w
2 x 6 + 2 x 4
P = 20 feet

For the circle you will find the circumference:

C = pi x d
3.14 x 6
C = 18.84 feet

The rectangle would seat more people because the distance around the table is longer.

You would be able to fit about 7-8 people around the rectangular table and 6-7 people around the circular table.

Final answer:

Comparing a 4ft by 6ft rectangular table and a circular table with a 6ft diameter, the circular table can seat more people (approximately 9) due to more efficient use of its perimeter, compared to the rectangular table which can seat 6 people.

Explanation:

The question asks which table would seat more people: a 4ft by 6ft rectangular table or a circular table with a diameter of 6ft. To answer this, we need to compare the arrangements and sizes of the two tables.

The rectangular table measures 4 feet by 6 feet. Typically, a person needs about 2 feet of space at a dining table to sit comfortably. Therefore, on the longer sides (6 feet), you can seat 3 people on each side, for a total of 6. On the shorter sides (4 feet), it's not practical to seat anyone due to space constraints and leg room. So, the rectangular table can seat 6 people.

The circular table has a diameter of 6 feet. Placing chairs around a circle often allows for more efficient use of space. If we assume each person requires the same 2 feet of space, roughly, the circumference of the table (which is π * diameter) dictates how many people can sit around it. The circumference of a 6-foot diameter table is about 18.85 feet (π * 6). Dividing this by 2 feet per person, you can seat approximately 9 people around the circular table.

In conclusion, a circular table with a diameter of 6 ft would seat more people, approximately 9, compared to a 4ft by 6ft rectangular table, which would seat 6 people. This is due to the circular table's ability to more efficiently use the perimeter for seating.

Maura is 5 years younger than her sister Cara. Seven years ago, Maura was half as old as her sister. How old is Maura now?

Answers

Let's call Maura's age now M and Cara's age now C.

We know Maura is five years younger than Cara. In symbols that is, M - 5 = C

We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols: [tex]M-7= \frac{1}{2}(C-7) [/tex]

Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:

[tex]M-7= \frac{1}{2}(C-7) [/tex]
[tex]C-5-7= \frac{1}{2}(C-7) [/tex]
[tex]C-12= \frac{1}{2}C-( \frac{1}{2})(7) [/tex]
[tex]C-12= .5C-3.5[/tex]
[tex].5C-12= -3.5[/tex]
[tex].5C= 8.5[/tex]
[tex]C= 17[/tex]

Cara is 17. Since Maura is 5 years younger she is 12.

As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.

Final answer:

To solve this problem, set up equations based on the given information. M = C - 5 and M - 7 = (C - 7) / 2. Solve the system of equations to find Maura's age (19).

Explanation:

To solve this problem, we can set up equations based on the given information. Let's let M represent Maura's age and C represent Cara's age.

The first clue tells us that Maura is 5 years younger than Cara, so we can write the equation M = C - 5.

The second clue tells us that seven years ago, Maura was half as old as Cara. So seven years ago, Maura's age was M - 7 and Cara's age was C - 7. We can write the equation M - 7 = (C - 7) / 2.

Now we can solve this system of equations to find Maura's age. Substituting the value of M from the first equation into the second equation, we get (C - 5) - 7 = (C - 7) / 2. Simplifying and solving for C, we find that Cara's current age is 24. Substituting this value back into the first equation, we find that Maura's current age is 19.

A $50,000 investment earns 18% annually. If B represents the balance and t represents the number of years, determine an expression that gives the account balance, B, after t years. Also, determine an equivalent expression that displays the effective monthly interest rate.

Answers

Using the compound interest formula;
FV=P(1+r/100)^t

FV is the future value
P is the principle
r is the rate
t is the time

the formula that gives the account balance after t years will be:

FV=50000(1+18/100)^t
FV=50000(1.18)^t

The formula for effective monthly interest rate will be:
monthly interest rate=(annual rate)/(number of months)
annual rate=18%
number of months in a year=12 months
rate=18/12=1.5%

Answer:

usa test prep its B

Step-by-step explanation:

Will mark brainliest ⭐️⭐️⭐️⭐️⭐️

Answers

is a hope this helped

Answer:

answer is d

Step-by-step explanation:

Please explain it and tell me how u got the answer
Thx

Answers

The y-intercept of a function is that function's value when x=0.
.. f(0) = 4
.. g(0) = 0
These y-intercepts differ by 4.

If you want them to differ by zero (be the same), you have to move them to the same point.

Selection 1. Moves f(0) down 3 (to 1) and g(0) up 1 (to 1), so moves the y-intercepts to the same point. This is what you want, so this is an appropriate answer selection.

Selection 2. Moves f(0) up 4 (to 8) and g(0) down 1 (to -1). 8 and -1 are not the same point, so this is not the answer.

Selection 3. Moves f(0) down 2 (to 2) and g(0) up 1 (to 1). 2 and 1 are not the same point, so this is not the answer.

Selection 4. Moves f(0) up 3 (to 7) and g(0) down 6 (to -6). 7 and -6 are not the same point, so this is not the answer.

___
The appropriate choice is the 1st one.
  f(x) - 3 and
  g(x) + 1

What needs to happen before you can use the reason CPCTC?

Answers

Answer: before you can use the reason CPCTC it must be stated that the triangles are congruente.

Explanation:

1) CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

2) Therefore, to use that reason you first need to prove that the the triangles are congruent.

3) Once, it has been stated that the triangles are congruent, then you can use the reason to state the the corresponding segments are congruent which will let you to state the length of any side of one triangle known the corresponding side of the other triangle, because they are congruent (have the same length).

What is the best first step in solving the equation 3 +3 square root 6x = 5? A.)Subtract 3 from both sides.
B.)Find the cube of 3 square root 6x .
C.)Cube both sides of the equation.
D.) Subtract 5 from both sides.

Answers

Final answer:

The best initial step in solving the equation 3 + 3√(6x) = 5 is to subtract 3 from both sides, simplifying the equation to 3√(6x) = 2, which lays a clear path towards isolating and solving for x.So,option A.)Subtract 3 from both sides. is correct.

Explanation:

The best first step in solving the equation 3 + 3√(6x) = 5 is to simplify the equation by isolating the square root term. This can be done by following option A: Subtract 3 from both sides of the equation. This action makes the equation easier to manage step-by-step as you move toward isolating x, which is the ultimate goal of solving for x. The resulting equation after subtracting 3 from both sides is 3√(6x) = 2. This simplified equation can then be further manipulated to solve for x, primarily by squaring both sides to eliminate the square root, and then solving the resulting simple algebraic equation.

5 times the sum of p and r

A.5(p+r)
B.5p+r
C.5pr
D.5+p+r

Answers

The answer would be 5(p+r) because p+r means the sum of those two variables and 5 would times the numbers in the parenthesis.

Answer:

Option: A is the correct answer.

The mathematical representation of the given statement is:

[tex]5(p+r)[/tex]

Step-by-step explanation:

We are asked to represent the given expression in words to numerical expression.

The statement is:

5 times the sum of p and r

The sum of p and r is: (p+r)

and now 5 times the sum of p and r i.e. 5 is multiplied to the sum of p and r.

i.e.

[tex]5(p+r)[/tex]

What is 5% in a decimal and a fraction?

Answers

5/100 or .05 would be the answers I believe.

It can be helpful to understand that the "%" is a sort of fancy or short-hand way to write "/100".

That is, 5% means 5/100. This is your fraction. It can be reduced to 1/20.

As a decimal, of course, 5/100 = .05, a number with 5 in the hundredths place.

Justin lives in saint paul and goes to school in minneapolis. in the morning, he has 333 transportation options (bus, cab, or train) to school, and in the evening he has the same 333 choices for his trip home. if justin randomly chooses his ride in the morning and in the evening, what is the probability that he'll use both the bus and the train?

Answers

To answer this question you will multiply the probability of the first event happening by the probability of the second event happening. He has a one in three chance of taking the bus on the way to school, and a one in three chance of taking the train home. 1/3 x 1/3= 1/9 chance of both of these occurring at the time he is indicating.

Answer:

2/9

Step-by-step explanation:

TRUST ME THIS GUY ABOVE ME IS A DING DONG

Perform the indicated operation. (r + s)(r2 - rs + s2)

Answers

Final answer:

The operation in the equation, (r + s)(r2 - rs + s2), is solved by distributing the multiplication of the binomial across each term in the trinomial. When the multiplications are complete and the terms are added, the resulting solution is r3 + s3.

Explanation:

The indicated operation in the question is the multiplication of the binomial, (r + s), and the trinomial, (r2 - rs + s2). This can be performed by using the distributed property of multiplication over addition. In this case, you would multiply each term in the binomial by each term in the trinomial, then add the products. So the solution will be:

r3 - r2s + rs2 + r2s - rs2 + s3 = r3 + s3

Note: the terms -r2s and r2s cancel each other out, as do the terms rs2 and -rs2, which is why the final result is r3 + s3.

Learn more about Polynomial Multiplication here:

https://brainly.com/question/20121808

#SPJ12

Point A is located at (0, 4) and point B is located at (−2, −3). Find the x value for the point that is 1/4 the distance from point A to point B.

−1

−0.75

−0.5

−0.25,

Answers

- First thing, find the distance between A and B:

AB =[tex] \sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} } [/tex] =
=[tex] \sqrt{(0-(-2))^{2} + (4-(-3))^{2} } [/tex] =
= [tex] \sqrt{4+49} [/tex] =
= √53

- Hence, we know that the distance between point A and the point C to be found is:
AC = √53 / 4

- The only other thing we know about point C is that it lays on the line that connects A and B. Let's use the point-slope formula to find the equation of this line:

y - y₂ = [tex] \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex] (x - x₂)
y - (-3) = (7/2)(x - (-2))
y + 3 = (7/2)(x + 2)
y = (7/2)x + 7 - 3
y = (7/2)x + 4

This is the equation that ties the coordinates of every point laying on it, therefore it is vaid for A, B and, above all, C which will be:
C (x , (7/2)x + 4)

- Now let's find the distnce between A and C:
AC =[tex] \sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} } [/tex]=
=[tex] \sqrt{(x-0)^{2} + ((7/2)x+4-4)^{2} } [/tex] =
=[tex]\sqrt{x^{2} + (49/4)x^{2} }[/tex] =
=[tex] \sqrt{(53/4) x^{2} } [/tex] =
=+/-(√53/2)x
- Lastly, we know this distance must be equal to √53 / 4, therefore you need to set and solve the equation:
+/-(√53/2)x = √53 / 4
(1/2)x = +/-(1/4)
x = +/-(1/2)

Since point C is towards point B, we have to take the negative answer:
x = -(1/2)

- Therefore the correct answer is C: -0.5

How do I find the holes for this function?

Answers

A "hole" is created when a factor can be crossed out of the numerator and denominator.

x^2 - x - 2 factors into (x - 2)(x + 1) both of which can be crossed out or canceled with the factors in the numerator. That creates very really tiny holes at x = 2 and x = - 1.

You need to find common factors in the equation. First, we factorise the denominator:
[tex] {x}^{2} - x - 2 \: = > (x + 1)(x - 2)[/tex]
Which leaves is with the equation:
[tex]y = \frac{(x - 5)(x + 1)(x - 2)}{(x + 1)(x - 2)} [/tex]
We can see that we have the common factors of (x+1) and (x-2), so these cancel out in the numerator and denominator:
[tex]y = \frac{(x - 5)}{1} [/tex]
a.k.a: y = x - 5
So if x+1 and x-2 cancel out, then the x values of the holes are:
x+1=0
x= -1
And
x-2=0
x= 2
Now we plug in each of these numbers into our simplified equation:
y = x - 5
y=(-1)-5
y= -6
This gives us the coordinate (-1,-6)
y = x - 5
y=(2)-5
y= -3
This gives us the coordinate (2,-3)
So the holes are at (-1,-6) and (2,3)

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER!

Answers

In this problem, we are dealing with simplifying expressions with exponents in the denominator. When we have exponents in the denominator, one thing that we want to be sure of is that there are not any negative exponents and that the numerators and denominators are completely simplified.

Our expression is 5/x^-2y^5

The first thing we notice is that we have a negative exponent in the denominator. This is easily solved if we switch the term with the negative exponent into the numerator.

Our expression now looks like this: 5x^2/y^5

Now, there aren't any other terms that cancel out, so our simplified expression is 5x^2/y^5.

If the state sales tax is 6% and a city adds an additional 1 1/4% tax,
What will the tax be on a purchase of $146.00? (Round the answer to the nearest cent.)

A. $10.59
B. $8.76
C. $10.80
D. $18.25

Answers

Your answer is A. 10.59 is the tax.

A population of 80,000 toads is expected to shrink at a rate of 9.2% per year.

What will the toad population be in 20 years?
3632
7360
11,609
72,640,

Answers

11,609!!! Let me know if u need more help!☺

Toad Population = 80000 Rate of shrink = 9.2% = 0.092 => 100 - 9.2 = 90.8% = 0.908 Time t = 20 years Toad population after first year = 80000 x 0.908 = 72640 Next year will be 72640 x 0.908 = 65957.12 This for 20 years lead up to 80000 x (1 - 0.0.092)^20 = 80000 x 0.908^20 = 11609

Please help me please

Answers

The 1st selection is appropriate.

_____
The other selections are nonsense.

Find the zeros of the function. f(x)=9x^2-12x-5

Answers

x=5/3, -1/3

You can use the quadratic formula or you can do any method that your teacher teaches you (box, etc.)

Answer: 5/3 and - 1/3

Explanation:

1) Set the given function equal to 0: 9x^2 - 12x - 5 = 0

2) make 9x^2 = (3x)^2 and 12x = 4(3x)

=> (3x)^2 - 4(3x) - 5 = 0

3) Factor the polynomial:

(3x - )(3x + ) first stept of factoring.

Now find two numbers that sum - 4 and their product of - 5, those are -5 and + 1: =>

(3x - 5) (3x + 1) = 0

4) Set the two factors equal to 0:

3x - 5 = 0 => 3x = 5 => x = 5/3 ↔ one root

3x + 1 = 0 => 3x = - 1 => x = - 1/3 ↔ the other root.

(0.2,3),(0.4,6) what is the slope? 10,15,20,25

HELP PLEASE

Answers

Answer:

Step-by-step explanation:

Use the slope formula to find the slope m.

m= y2-y1 / x2-x1

m= 6-3/0.4-0.2

m=15

Phil is a commercial fisherman. He keeps 5 salmon for every 8 cod he catches. If Phil keeps 15 salmon, how many cod will he keep?

Answers

15 / 5 = 3

3 * 8 = 24 cod

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