Please answer fast!!!!!!!!
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as
much of its carbon-14 as compared to a living sample. How old is the fossil?

28,993 years
9,955 years
2,899 years
996 years

Answers

Answer 1

Answer:

Step-by-step explanation:

0.5^(t/5730) = 0.30

2^(-t/5730) = 0.30

-t/5730 = log₂0.30

t = -5730 log₂0.30 ≈ 9953 years


Related Questions

Simplify the expression.
4X2 + 10x -6 / 2x-1

a. -x+5
b.2(x+3)
c.x+3
d.2x-6

Answers

Answer:

4x2+7x−1

Step-by-step explanation:

In a sample of 500 respondents, men account for 20% of all observations in the sample. What is the total number of females in the sample ?

Answers

The total number of women is 400.


Explanation: 20% of 500 is 100

A percentage is a way to describe a part of a whole. The total number of females in the sample are 400.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that In a sample of 500 respondents, men account for 20% of all observations in the sample. Therefore, if we deduct the number of male from the total number of respondents, then we can get the total number of women.

Now, the total number of females in the sample are:

Total number of females in the sample

= Total number of respondents - Total number of males in the sample

= 500 - 20% of total respondents

= 500 - 20% of 500

= 500 - 0.20(500)

= 500 - 100

= 400

Hence, the total number of females in the sample are 400.

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Triangles please and thanks

Answers

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

60 I answered it and got it right

Priya creates a scatter plot showing the relationship between the number of steps she takes and her heart rate. The correlation coefficient of the line of best fit is 0.88.


1. Are they correlated? Explain your reasoning.

2. Does either of the variables cause the other to change? Explain your reasoning.

Answers

Answer:

Positive correlation exists ;

Number of Steps taken will cause heart rate to increase.

Step-by-step explanation:

Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.

Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.

Correlation between number of steps taken and heart rate.

Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

What is Correlation Coefficient?A correlation coefficient shows how corelated two variables are.Correlation coefficient ranges from -1 to 1.The closer the correlation coefficient is to -1 or 1, the stronger the correlation between two variables.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

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write a simplified expression for the volume of a cube with side length x+3​

Answers

The equation for a volume of a cube is V=a^3 and since all the sides are the same the equation would be V=(x+3)^3

PLZZ HALPMMELOL PLZZ it’s due 20 min

Answers

Answer: They ate 5/8 of the salad

Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.

Step-by-step explanation:

they ate 5/8 salad

3/8+ 2/8 = 5/8

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

The RADIUS of the barrel is 9.5.

What is the circumference of the barrel?

Answers

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

(3x²+4x-1) + (-2x²-3x+2)

Answers

Answer:

(3x²+4x-1) + (-2x²-3x+2)

3x²+4x-1 -2x²-3x+2

3x²-2x²+4x-3x-1+2

x²+x+1

Answer:

x²+x+1

Step-by-step explanation:

Estimate 73% of 120

Thanks if you help!

Answers

Answer:

73/100 (120)

answer:-87.6

Answer:

87.6

Step-by-step explanation:

[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]

73*120/100= 87.6

I WILL NAME YOU BRAINLIEST AND GIVE YOU ALL MY POINTS IF YOU SOLVE THIS!!!!! In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.

Answers

Answer:

27

Step-by-step explanation:

ez

Answer:

26

Step-by-step explanation:

Square=5

Circle=7

Triangle=4

Do the math to check for yourselves.

1) Functions A, B and C are all linear functions ofx. Rank the rates of change and the y-intercepts of all three from smallest to largest. Function A Function B y = .5x. 0.55 X 0 1 2 3 у -1.25 0.5 0.25 1 1.75 Function C Rates of change in order smallest to largest : 3- + Y-intercepts in order smallest to largest: -1 -3​

Answers

Answer:

Step-by-step explanation:

slope = rate of change

y = mx + b ( "m" is slope, "b" is y-intercept)

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~~~

which translation is moving left 5 and down 3​

Answers

Answer:

f i think?

Step-by-step explanation:

Which equation best represents the comparison sentence

Answers

Answer:

5

Step-by-step explanation:

HELP PLEASE THIS IS HARD-!

Answers

Answer:

12

Step-by-step explanation:

[tex]\frac{2(2)}{2} +2(2)+\frac{2(6)}{2} =2+4+6\\ =12[/tex]

Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

BD = 30

Step-by-step explanation:

if it is a square, than all sides are equal

so if AC = 30, then BD = 30 as well

What is the area of this square?

Answers

Answer:

4x4x4x4=256

Step-by-step explanation:

hope this helps

Answer:

20 = white square in the middle

Step-by-step explanation:

The whole square itself (including the blue parts) is 36 because 6 x 6 = 36

Help Please , :))))))
Suppose f(x) = x2 and K(x) = 1/9x^2 . Which statement best compares the graph
of K(x) with the graph of f(x)?

Answers

Answer:

D

Step-by-step explanation:

since it is not in a parentheses with x that means it only affects the y axis, resulting in a vertical compression by a factor of 9

plz, mark me brainliest ;)

Factor the expression: 12r-12

Answers

Answer:

12 (r-1)

Step-by-step explanation:

Both terms have 12 as a common factor, so you can factor it out.

Answer  And  explanation :

common factor

12—12

12(r—1)

solution:

12(r—1)

What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3

Answers

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

can somebody answer it for me please. simplify and it can only contain positive exponent.

Answers

Answer:

1/2m^12

Step-by-step explanation:

simplify the expression :

m^-6/2m^3 x m^3

1/2m^9 x m^3

solution: 1/2m^12

sorry its really hard to explain the steps but I hope I helped you :)

Answer:

[tex]\frac{1 }{2m} ^x{12}[/tex]

Step-by-step explanation:

just take away the X

I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!
x/4 < −1.5

Answers

Answer:

x < -6

Step-by-step explanation:

[tex]\frac{x}{4} < -1.5[/tex]

to isolate x, multiply both sides by 4

[tex](4) \frac{x}{4} < -1.5 (4)[/tex]

which gives you:

x < -6

50 POINTS HELP PLS ASAP

Answers

Answer:

G

Step-by-step explanation:

Helppppppppppppppppppp I’ll mark you brainlist

Answers

Answer:

1

Step-by-step explanation:

you add +6 everytime you up the number :))

Answer:

The missing value of x in this arithmetic sequence is "1"

Step-by-step explanation:

Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.

In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.  

From this we know in order to get from x to 7 we added 6, now know this we can make an equation...

x + 6 = 7

And now we just solve it...

x + 6 = 7

x = 7 - 6

x = 1

Cost price = £40
Selling price = £48
Calculate the percentage profit

Answers

There is 20 percent profit

Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?

Answers

Answer:

They are perpendicular to each other.

Step-by-step explanation:

It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.

Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.

Answer: C they are perpendicular to each other

Step-by-step explanation:

I took the test and got C

Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth

Answers

Answer:

exponential

linear

$1092.73

$1120

account b

account a

Step-by-step explanation:

on the test now.

Is this true or false?

Answers

Answer:

True

Step-by-step explanation:

Use the rule of fractional exponent: The denominator becomes the root index and the numerator becomes the power.

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)

Answers

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

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Pleaseee helppp answer correctly !!!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

I’m pretty sure it’s just 30
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