estimate the age of a bone if it now contains 70% of its original amount of carbon-14. round to the nearest 100 years
Answers
The required age of the bone is approximately 8,200 years.
To estimate the age of a bone that now contains 70% of its original amount of carbon-14, you can use the formula:
age = (half-life / log(2)) x log(original amount / current amount)
In this case, the original amount of carbon-14 is 100% and the current amount is 70%, so the age of the bone can be calculated as:
age = (5730 years / log(2)) x log(100% / 70%)
age = (5730 years / 0.693) x 0.35667
age = 8268 years
Rounded to the nearest 100 years,
age = 8200 years
Therefore, the bone is estimated 8,200 years old.
To learn more about the half-life click here:
https://brainly.com/question/22724705
#SPJ1
Related Questions
Can someone please help me with this math problem I don’t understand it
Answers
Answer:
i need points
Step-by-step explanation:
i need points ,, hope you find your answer
Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
Answers
AS per the concept of Compound interest,
(a), The amount owed at the end of 1 year is $8,400
(b) The amount owed at the end of 2 year is $ 9,408
Compound interest:
The general formula to calculate the compound interest is
A = P(1 + r/n)ⁿˣ
where
A represents Accrued amount (principal + interest)
P represents Principal amount
r represents Annual nominal interest rate as a decimal
n represents number of compounding periods per unit of time
x = time
Given,
Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year. Assume that no payments are made on the loan.
Here we need to find the following,
a)the amount owed at the end of 1 year.
b) the amount owed at the end of 2 year.
From the given details we know that the value of
Principal amount = $7,500
Interest rate = 12%
Part a) the amount owed at the end of 1 year is calculated as,
Here we have to convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = 7,500.00(1 + 0.12/1)(1)(1)
A = 7,500.00(1 + 0.12)(1)
A = $8,400.00
Therefore, the amount owed at the end of 1 year is $8,400.
Part b) The amount owed at the end of 2 year is calculated as,
In this one the value of principal amount interest rate are same but the value of year only differs as 2,
So, the amount is
=>A = 7,500.00(1 + 0.12/1)(1)(2)
=> A = 7,500.00(1 + 0.12)(2)
=> A = $9,408.00
Therefore, the amount owed at the end of 2 years is $9,408.
To know more about Compound interest here.
https://brainly.com/question/14295570
#SPJ!
given AC=XZ and AB=XY prove BC=YZ
Answers
Triangle plz help me find B,b and c
Answers
Answer:
B = 55°
b = 17.1 (rounded to the nearest tenth)
c = 20.9 (rounded to the nearest tenth)
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
Answers
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ2
Find the area of the following parallelogram:
Answers
Answer:
216
Step-by-step explanation:
18 which is the base will be multiplied by the height which is 12 giving you
18 x 12 = 216
while eating your yummy pizza, you observe that the number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour. on average, how many customers arrive in each 10 minutes interval?
Answers
In every 10 minutes an average of 3 customers will arrive to the pizza station
Given,
The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.
We have to find the average number of customers arrives in each 10 minutes.
Here,
The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:
P (X = x) = (e^-μ × μ^x) / x!
Where,
The number of successes is x.
The Euler number is e = 2.71828.
μ is the average over the specified range.
Now,
Rate of 18 customers per hour;
μ = 18 n
n is the number of hours.
Number of customers arrive in each 10 minutes
10 minutes = 10/60 = 1/6
Then,
μ = 18 x 1/6 = 3
That is,
In every 10 minutes an average of 3 customers will arrive to the pizza station.
Learn more about average number of customers here;
https://brainly.com/question/24110095
#SPJ1
CO
A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry
fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?
02
3
4
5
Nex
Save and Exit
Subm
Mark this and return
Answers
Answer:
3 rounds of bingo
Step-by-step explanation:
Let x represent the number of bingo rounds
For adults, the total cost can be represented by 2x + 13, since it is $2 per game and there is a $13 entry fee
For children, the cost can be represented by 3x + 10, since it is $3 per round and there is a $10 entry fee
To find how many rounds are needed to make the cost the same, set these expressions equal to each other and solve for x:
2x + 13 = 3x + 10
13 = x + 10
3 = x
So, costs will be the same with 3 rounds of bingo
FIND EACH LENGHT BELOW ITS AN ALEX ASSIGNMENT UNDER THE CATEGORY SEGMENTS IN CIRCLES
Answers
The length in each circle is:
(a) CD = 19.5 units
(b) UZ = 12.8 units
How to find the length in each circle?(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".
Using the theorem, we have:
EC * ED = EG²
6.5 * ED = 13²
6.5ED = 169
ED = 169/6.5
ED = 26 units
ED = EC + CD
26 = 6.5 + CD
CD = 26 - 6.5
CD = 19.5 units
(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
UZ * UW = UX * UY
UZ * 40 = 8 * 64
40UZ = 512
UZ = 512/40
UZ = 12.8 units
Learn more about Intersecting Secant-Tangent Theorem on:
brainly.com/question/27160891
#SPJ1
PLEASE HELP! THANK YOU!
Answers
Answer:
B
Step-by-step explanation:
1/3+2/6=1/3+1/3=2/3
Hope I helped!
Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {1, 2, 3, 5, 7}, and C = {1, 3, 6, 7}. Find A ∩ Ø a) { } b) {1, 3, 5, 7} c) {1, 2, 3, 4, 5, 6, 7} d) {2, 4, 6}
Answers
we know that
A=[2,4,6]
we have that
A ∩ Ø=Ø
therefore
The answer is the option aWhich statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Answers
Explanation
The square root of a number is “what number times itself”
2 x 2 = 4
3 x 3 = 9
7 is between 4 and 9 so C is the correct answer
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answers
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
Hello, I need help finding the value of the 89th term
Answers
Given:
common difference (d) = 7
6th term = 53
n = 6
Find: 89th term where n = 89
Solution:
To determine the 89th term, let's first determine the first term using the recursive formula for an arithmetic sequence.
\(a_1=a_n-(n-1)(d)\)Let's use the given 6th term in which n = 6 and a₆ = 53. Use d = 7 for the common difference. Let's plug this into the recursive formula above.
\(\begin{gathered} a_1=53-(6-1)(7) \\ a_1=53-(5)(7) \\ a_1=53-35 \\ a_1=18 \end{gathered}\)Therefore, the first term is 18.
Now, let's use the recursive formula again to determine the 89th term.
This time, we will use n = 89, d = 7, and a₁ = 18.
\(a_n=a_1+(n-1)(d)\)\(\begin{gathered} a_{89}=18+(89-1)(7) \\ a_{89}=18+(88)(7) \\ a_{89}=18+616 \\ a_{89}=634 \end{gathered}\)Therefore, the 89th term in the sequence is 634.
An increasing number of statistics courses use a computer and software rather than manual calculations. A survey of statistics instructors asked each to report the software his or her course uses. The responses are as follows: 1. Excel 2. Minitab 3. SAS 4. SPSS 5. Other a. Produce a frequency distribution. b. Graphically summarize the data so that the proportions are depicted. c. What do the charts tell you about the software choices
Answers
A frequency distribution shows the frequency of the data elements it represents
(a) A frequency distributionTo do this, we make use of a table that has the following columns
SNSoftwareFrequencyRelative frequencyUsing the given dataset, the frequency distribution is:
SN Software Frequency Relative frequency
1 Excel 34 48.6%
2 Minitab 17 24.3%
3 SAS 3 4.3%
4 SPSS 4 5.7%
5 Other 12 17.1%
(b) Present the frequency distribution on a chartSee attachment for the histogram that represents the frequency distribution
(c) Interpret the chartFrom the chart, we have the following highlights:
Most statistics instructors use Excel software.Least statistics instructors use SAS software.Read more about frequency distribution at:
https://brainly.com/question/1094036
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
Mia counts on in steps of 100 she starts at 946. Write the next number she says
Answers
Answer:
100+946=1046
Ao the next no. Is 1046
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answers
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
simplify the expression 14+5(x+3) - 7x
Answers
Answer:
- 2x +29
Step-by-step explanation:
Open up the parenthesis, then simplify
14 + 5x + 15 - 7x
5x - 7x + 14 + 15
-2x + 29
\(14+5(x+3) - 7x\)
Distribute:
\(14+(5)(x)+(5)(3)-7x\)
\(14+5x+15-7x\)
Combine Like Terms:
\((5x-7x)+(14+15)\)
\(\fbox{-2x + 29}\)
on a line chart, you can change the of the vertical axis to provide more vertical space and a more dramatic slope to the lines.
Answers
we are allowed to change the vertical axis on a line chart.
why we need to change the vertical axis?suppose we have a large range of value needed to plot along the vertical and horizontal axis, but the current line chart cannot meet this demand. in such cases, we can customize the scales to provide more vertical and horizontal spaces.
what is dramatic slope?dramatic slopes are the steep slopes of a straight line calculated by vertical and horizontal coordinate of two points laying on it. By changing the vertical axis as well as the horizontal axis we can plot a graph of a straight line more properly and finally more dramatic slope is visible there.
hence, we can change the scale values on a line chart to meet the requirement of the plot.
to learn more about line chart visit the link:
https://brainly.com/question/29833410
What the solution for CED
Answers
Explanation: 180-122=58
Answer:
Step-by-step explanation:
The two adjacent angles must have a sum of 180
CED=180-122
CED=58 degrees
ayudaaa a resolver esto plis
Answers
The value of x in degrees will be 6° and 11° using properties of parallel lines.
What Qualities Characterize Parallel Lines?They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.
Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.
The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.
In the above figure,
8x + 7 = 55
8x = 55 - 7
x = 6
Measure of the angle will be 8 × 6 + 7 = 49
In 11)
10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)
⇒x = 11
The value of x in degrees will be = 11° using properties of parallel lines.
To learn more about Parallel lines refer to :
brainly.com/question/16701300
#SPJ1
what is the perpendicular and parallel lines of y= -2 -4x
Answers
y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.
Where m represents the slope and y intercept is -2.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
The negative reciprocal of -4 is 1/4.
Therefore, the slope of the perpendicular line is 1/4.
The perpendicular line is y=1/4x-2.
We know that the parallel lines have same slope.
y=-4x+3
Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ1
1. a. Anita hadoſ a bag of fertilizer left. She used
of what was left. What question about Anitas
fertilizer can be answered by calculating !!!
Answers
Answer:
hello your question is incomplete below is the complete question
answer : what part of the bag of fertilizer left was used by Anita
Step-by-step explanation:
Anita had 1/2 bag of fertilizer left
and she used (3/4 of the fertilizer
that means she used ( 3/4 * 1/2 ) bag of fertilizer
hence the question about Anita's fertilizer that can be answered is ; what part of the bag of fertilizer left was used by Anita
WELPPPPP IMMA FAILLLLLL
Answers
Answer:
I'm pretty sure the answer is A.
Step-by-step explanation:
y = x^3 + 1 is a place in a linear graph.
You randomly select three cards from a standard deck of 52 playing cards. What is the probability that all three cards are face cards when you replace each card before selecting the next card?
Answers
probability of first face card ( with total 12 face cards amongst 4 suits), is 12/52, once one face card is removed, the probability of next card is 11/51, and the next is 10/50. This probability of all 3 being face cards is ( 12/52)* (11/51) *(10/50 ) =1320/132600= 0.00995475113 ~0.01, i.e. one in hundred.
Question 6 Which of the following is the graph of f(x) = x² = 5x + 4?
Answers
Given: The equation x² = 5x + 4
We have to draw the the graph for the given equation.
Consider the given equation,
x^2 - 5x - 4 = 0
The vertex of the parabola of the form f(x) = ax^2 + bx + c is given by x = -b/2a
Here,
a= 1
b= -5
c= -4
vertex = x = 5/2= 2.5
Also, the y coordinate at x = 2.5 is,
y = (2.5)^2 -5(2.5)-4
y = -10.25
Thus the vertex of parabola is (2.5 , -10.25)
y - intercept is the point where x = 0
put x = 0 in given equation
f(x) = 0 - 0 -4
f(x) = -4
hence y intercept is at (0, -4).
Now, we calculate x- intercept
x- intercept is where y is equal to 0.
Put f(x) = 0
We have,
x^2 - 5x - 4 = 0
by using quadratic formula,
x = -b ±√b² - 4ac/2a
x=5 ±√-5² - 4 (1)(-4)/2
x= 5±√41/2.
Hence with the obtained values the graph of the equation is obtained.
Learn more about Parabola,
https://brainly.com/question/29267743
#SPJ1
find x
a.204
b.90
c.78
d.102
Answers
Answer:
Hope you can understand my handwriting though
f(x) = x + 2
g(x) = 3x² - 5
Find (f.g)(x).
OA. (f g)(x) = 3x³ - 10
OB. (f g)(x) = 3x³ + 6x² - 5x - 10
OC. (f. g)(x) = 3x³ + 10
OD. (f g)(x) = 3x³ + 6x² + 5x + 10
SUBMIT
Answers
Answer:
It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10
Step-by-step explanation:
In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.
• Take the products of both functions.
f(x)g(x) = 3x²+5 • x-2
• Next, expand the functions. We expand by combining like terms.
= 3x^3 - 6x^2 + 5x - 10
Since the function cannot be simplified further, this leads to option B being our answer.
Hope this helps!
Which of the following sequences represents a geometric sequence?
A. 0, 2, 4, 6, ...
B. 1,4, 9, 16,
C. -3, -6, -12, -24,
D. -1,2,5,8,
Answers
Answer:
D
Step-by-step explanation:
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.