College Algebra Half Life Problem

Recently, while digging in Chaco Canyon, New Mexico, archaeologists found corn pollen that was 4000 years old. This was evidence that Native Americans had been cultivating crops in the Southwest centuries earlier than scientists had thought.

What percent of the carbon-14 had been lost from the pollen?

(half-life of carbon-14 = 5730)

Answers

Answer 1
I think the correct answer is 56%

Related Questions

Convert (A5D.F)¹⁶ to base 2

Answers

The radix for the number to convert is 16 so it's hexadecimal. There's, I believe a typo as there no "." in base 16. Base 2 is binary and so the answer would be [tex]1010010111011111[/tex]

• The packages of henna powder cost $12 each and the squeeze
bottles cost $3 each. What is Sushmila's total cost for the supplies?

Answers

Answer:

Step-by-step explanation:

If she is just buying one henna package and one squeeze bottles the total is 12 + 3 which is 15

Answer:

27

Step-by-step explanation:

I got it right

at 6:00 PM it’s 24°F at midnight the temperature was 636°F lower than Apple what will the temperature at midnight

Answers

Answer:

A)12 F.

Step-by-step explanation:

Find the x-intercept of each line defined below and compare their values.

Answers

x intercept of line a is (-6,0)

x intercept of line b is (1,0)

The x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Equation of line A

y=-2/3x-4

When y=0

0=-2/3x-4

4=-2/3x

-6=x

So the x intercept for line A is -6.

Let us find equation of line B by using table

Slope = -1

Now let us find y intercept

2=-1(-1)+b

b=3

So equation is y=-x+3

Now let us find the  x intercept

Put y=0

0=-x+3

x=3

(3, 0) is x intercept of line B

Hence, the x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

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) Use a generating function for modeling the number of different election outcomes in an election for class president if 25 students are voting among four candidates. Which coefficient do we want

Answers

Answer:

The answer is "[tex]x^{25}[/tex]"

Step-by-step explanation:

In four candidates, student participants are voting.  

For design the range of votes, it must employ a dividend growth.

Total students = 25  

Total choices to vote = 4

The role generation is: [tex]G(x) = (1 + x+x^2 + ....+ x^{25})^4[/tex]  

In order to obtain the various results, they need to analyze the term coefficient [tex]x^{25}[/tex].

Myra is cooking meat the double number line shows that he needs 12 hours too cook 5 kilograms of meat how long does myron need to cook 3 kilograms of meat​

Answers

Answer : 7.2 hours

Step by Step Explanation: 12 divided by five equals 2.4

2.4 times 3 equals 7.2

The area of a rectangle is 72 square metres. The length of the rectangle is twice the width. Find the width of the rectangle.

Answers

Answer: Width = 6m

Working:
Find common factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Work out which ones multiply together to make 72 and as the question states that the length is twice the width, we need to find two numbers that multiply to make 72 and one of the numbers is double the other number.

These numbers would be 6 and 12. (6 x 12 = 72)

Therefore:

Area = 72m²
Width = 6m
Length = 12m

A snowplow has maximum speed of 45 miles per hour on a dry highway. Its maximum speed decreases by 1.6 miles per hour for every inch of snow on the highway. According to this​ model, at what snow depth will the snow plow be unable to​ move?

Answers

Answer:

28.125

Step-by-step explanation:

If it is going 45mph and every hour it decreases 1.6mph per inch of snow added. so 45 divided by 1.6 is 28.125.


The speed of the current in a creek is 2 mph. A person can kayak 9 mi upstream in the same time that it takes him to kayak 13 mi downstream. What is the speed of the
person's kayak in still water?

Answers

Let s be the speed of the person's kayak in still water.

Given, speed of current = 2 mph

Upstream distance = 9 miles

Speed of the person upstream = s-2

Time traveled upstream = 9/s-2

Downstream distance = 13 miles

Speed of the person downstream = s+2

Time traveled downstream = 13/s+2

Given,

9/s-2 = 13/s+2

Cross-multiplying,

9*(s+2) = 13*(s-2)

9s + 18 = 13s - 26

Grouping like terms together,

13s-9s = 26+18

4s = 44

s = 11 mph

Speed of person's kayak in still water = 11 mph

Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.​

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

y = -2x + 4

Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.

y-intercept through point (3, 1):

y = mx + b

1 = -2(3) + b

1 = -6 + b

b = 7

Equation of line that is parallel to original:

y = mx + b

y = -2x + 7

Evan's favourite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.
How long did Evan spend making paper cranes today?

Answers

Answer:

it took him 3 hours

Step-by-step explanation:

28 divideed by 4= 7

21divided by 7=3

How can we multiply fractions

Answers

Answer:

There are three simple steps...

Step-by-step explanation:

Step 1: Multiply the numerators from each fraction by each other (the numbers on top). The result is the numerator of the answer.

Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom).

Step 3: Simplify or reduce the answer.

The difference of 9 and three times a number is that number increased by 5. Find the number. just give me the equation

Answers

Answer:

9-3n=n+5

Step-by-step explanation:

n= the number

What is the probability that a coin tossed in the air will land heads up? 25% 50% 75% 100%

Answers

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation: the normal probability is 1/2 sooo it translates to 50/100 which is 50%

Find the derivative of the function.
3
f(x) = 4x + 20x4
f'(x)=

Answers

Answer:

f'(x) = 4 + 80x³

General Formulas and Concepts:

Calculus

The definition of a derivative is the slope of the tangent line.

We can take the derivative/distribute it over addition and subtraction.

Basic Power Rule:  

f(x) = cxⁿ  f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define function

f(x) = 4x + 20x⁴

Step 2: Find 1st derivative

Basic Power Rule (1st term):                    f'(x) = 4 · 1x¹⁻¹ + 20x⁴Basic Power Rule (2nd term):                  f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹Simplify:                                                    f'(x) = 4 + 80x³

A Salesman earns 8% commission on all the merchendise that he sells. Last month he sold $4000 worth of merchandise. How much commission ( in dollars) did he earn last month?

Answers

Answer:

$320

Step-by-step explanation:

For this question, you just need to find 8% of $4000.

1. Convert 8% to a decimal. 8% = 0.08

2. Multiply. 0.08 ($4000) = $320

The original price of a shirt was 20$. It decreased to 15$. what is the percent decrease of thee price of this shirt ?

Answers

5 dollars off of $20 would be 25%.

After birth, a baby's weight increased at a steady rate for several weeks.

A linear model of this situation contains the values (1, 7.3) and (9, 9.7), where x represents the number of weeks, and y represents the baby's weight, in pounds.

What was the baby's weight at birth?
A.
8 pounds
B.
7.3 pounds
C.
0.3 of a pound
D.
7 pounds

Answers

Answer:

c

Step-by-step explanation:

i really dont know pls help PAHAHA

The baby's weight at the birth of the baby was 7 pounds.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that a linear model of this situation contains the values (1, 7.3) and (9, 9.7), where [x] represents the number of weeks, and [y] represents the baby's weight, in pounds.

Assume the equation of the line in slope - intercept form is -

y = mx + c

Now -

m = (9.7 - 7.3)/(9 - 1)

m = 2.4/8

m = 0.3

The equation will be -

y = 0.3x + c

For the point - (1, 7.3), we can write -

7.3 = 0.3 x 1 + c

c = 7.3 - 0.3

c = 7

Therefore, the baby's weight at the birth of the baby was 7 pounds.

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I need help plz
thank you.

Answers

Answer:

hxdjgcfmv,hjb.kn

Step-by-step explanation:

hrzdxjcgfmv,guvmcdcfvmtfbudufuv,gh

ljfehhgsdddzcSDJCHjgsDdlhfcgadscbsdhcSDMlnSBDZx

Answers

Answer:

?

Step-by-step explanation:

joe wants to purchase a new pair of basketball shoes that are on sale at two different stores. store a has the sale at 20% off. the original price on the shoes is $85.95 and has a sales tax of 8.7%. store b has the shoes on sale at 25% off the original price on the shoes is $93.95 and has a sales tax of 8.5%

Answers

Answer:

What is the question?

Step-by-step explanation:

5. A boy owns 2 pairs of pants, 8 shirts, 6 ties, and 7 jackets. How many different outfits can he wear to school if he must wear one of each item?
He can wear _________ different outfits.

Answers

Answer:

672

Step-by-step explanation:

6. Melanie put $1500 into an account 2 years later the account was worth $1700.
What was the interest rate of the investment?
(8 Points)
6.67%
8.089
17. 196
44.796

Answers

its 44.796 ur welcome my guy

1. The sum of 6 and the quotient of a number and 4 is 10.

Answers

Step-by-step explanation:

20÷4=20/4=5 is the quotient I'm pretty sure

Answer:

34                       Sorry if im kinda late

Step-by-step explanation

The equation is 6+x/4=10. now we figure out what x=? there are a lot of ways to figure out the answer this is what im gonna do first figure out what divided by 4 equals 10. multiply 10 times 4 you get 40 which means 40 divided by 4 equals 10 now subtract 6 from 40 and you get 34.

Please mark brainliest.

A tourist can bicycle 26 miles in the same time as he can walk 6 miles. If he can ride 10 mph faster than he can walk, how much time should he allow to walk a 25-mile trail

Answers

Answer:

It would take him 3 miles to talk a 25-mile trail

Step-by-step explanation:

3. Lisa's checking account charges her a $35 overdraft fee plus the purchase amount
for each purchase that cause her account balance to go below or stay below $0.
On Monday, her account balance was only $40. She made the following purchases
in order:
$25 on a gift for her friend
$10 on fast food
$37 on groceries
$15 on gas
She then deposited a $650 check into her account.
What is her new account balance? IS
(8 Points)
5498
$533
$568
$603

Answers

Her new balance will be $603

How can you rewrite the problem so that the divisor is a whole number?
0.21 divided by 17.66

Answers

Answer: 21 divided by 1766

Step-by-step explanation:

just try to remove the decimal points which mean 0.21 to 21 and 17.66 to 1766

URGENT PLZ HELLLP
Triangles ABC and DEF are similar. The lengths of the sides of ABC are 56, 64, and 72. The length of the largest side of DEF is 252. What is the length of the smallest side of DEF?

Answers

Answer:

abcdefghijklmnopqrstuvwxyz now i know my abc's next time wont you sing with me!!!!!!

Step-by-step explanation:

Find the y-intercept, The equation of the x of symmetry and the x-coordinate of the vertex for 12.

Answers

Answer:

0, x=0, (0,0)

Step-by-step explanation:

f(x) =4x²

y-intercept is at (0,0) because there is no term with no variable

axis of symetry is x=0, because is the y-axis

x-coordinate of the vertex is 0 because the vertex is at (0,0)

Answer:

axis of symmetry-x=0

y-int-(0,0)

vertex-(0,0)

Step-by-step explanation:

A photographer charges a sitting fee of $15 plus $3 for each pose. Write a function to describe the situation. Find a reasonable domain and range for up to 5 poses.
Please help i really don't understand how to find the domain and range.

Answers

Answer:y=3x+15

Step-by-step explanation: (1,18), (2,21), (3,24), (4,27), (5,30) domain is your x values 1,2,3,4,5. Range is your y values. I’d assume someone wouldn’t pay $15 for 0 poses.

The function for the given situation is f(x)=15+3x and  a reasonable domain and range for up to 5 poses is 5 and 30 respectively.

Given that, a photographer charges a sitting fee of $15 plus $3 for each pose.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Let the number of poses be x and the total cost be y.

The function for the given situation is y=15+3x

Thus, f(x)=15+3x

For 5 poses:

Put x=5 in the obtained function, we get

f(5)=15+3(5)

= 15+15

= 30

So, the ordered pair is (5, 30)

Hence, the function for the given situation is f(x)=15+3x and  a reasonable domain and range for up to 5 poses is 5 and 30 respectively.

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