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The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550

A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%

Of its carbon remaining.

Select the correct answers

Answers

Answer 1

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

Answer 2

Answer:  For plato family

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

Use function t to complete the statements.

A fossil with 47%    of its carbon-14 remaining is approximately

years old.

A fossil that is 7,000 years old will have approximately

       17%     of its   carbon-14 remaining.

Step-by-step explanation:

 The  first  box is  2,998

  The  second  box is 17%


Related Questions

15 points!! Please help

Answers

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.

1.2 x 2.5 is 3

3 ft is the answer

Which number line represents the following statement?
A number is more than negative five.
+ +
-4 -3 -2
-10 -9
-8
-7
-6
-5
-1
0
+
-3
+
-1
-10 -9
-8
-7
-6
-5
-4
-2
0
04
-10 -9
-8
-7
-6
-5
-4
-3
-2
0
1
-8
-10 -9
-7
-6 -5
-4
-3
-2
-1
0

Answers

Answer:

It is the third answer.

Step-by-step explanation:

It is the third answer because when you look at the equation it is 5x is greater then negative 5 so that means it’s the 3rd answer hope this helped!

The number line represented by the equation is x > 5 and the graph is plotted

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = number is more than negative five

Let the number be represented as n

where n > 5

Hence , the inequality is n > 5 and the graph is plotted

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ7

Mille is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace, about how many pages will she have read after 5 days?

Answers

four hundred fifty five

The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550

A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%

Of its carbon remaining.

Answers

Answer:   For plato family

A fossil with 47% of its carbon remaining is approximately how old

2998

A fossil that is 7000 years old will have approximately

17%

Step-by-step explanation:

three times a number added to 15 .

Answers

Answer:

i say 45

Step-by-step explanation:

Answer:

5×3=15

so, definitely answer is 5

;-))

The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual distance, x, represented by 20 centimeters on the map? StartFraction 10 over 4 EndFraction = StartFraction x over 20 EndFraction StartFraction 10 over 4 EndFraction = StartFraction 20 over x EndFraction StartFraction 10 over 20 EndFraction = StartFraction 4 over x EndFraction StartFraction 10 over 20 EndFraction = StartFraction x over 4 EndFraction
HELP PLSS QUICK ILL GIVE BRAINLIST

Answers

10/4=x/20
Your answer will be x=50 kilometers

Answer:

the guy above me is correct

Step-by-step explanation:

I WILL MARK BRAINLIEST PLEASE ANSWER ITS DUE AT 1:00 PLEASE

Answers

Answer:

(7,3)

Step-by-step explanation:

solving 2 step inequalities give three solutions for each inequality 1/5(y+10) is < or = -25

Answers

Answer:

-25

Step-by-step explanation:

Answer:

Any solution less than or equal to -115 would count. So three solutions could be -115, -116, and -117.

Step-by-step explanation:

[tex]\frac{1}{5} (y+10)\leq -25\\\frac{y}{5}+2\leq -25\\\frac{y}{5}\leq -23\\y\leq -115[/tex]

20. When subtracting u- v, I must rewrite the pair as
a. ut -V
b. -U + V
C. u + v
d. It doesn't matter; I will get the same vector

Answers

Answer:

d

Step-by-step explanation:

you just get the same anwser

It doesn’t matter you get the same answer

You weigh a gallon of liquid in science class and learn that it is approximately 7.7 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.


only right anwres

Answers

Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

There are 2 glasses of orange juice , glass a has squash mixed together with water in the ratio 1:3 and glass b had squash mixed together in the ratio of 1:5 I mix together an equal amount of juice from glass a and b . What will be the new ratio of squash to water

Answers

Answer:

2:6

Step-by-step explanation:

there are 2 glasses of orange juice

glass a has a ratio of 1:3

glass b has a ratio of 1:5

mix the same amount from glass a and b

and you should get the ration 2:6

20 points Find the value of x in the figure

Answers

Answer:

x=100

Step-by-step explanation:

180 degrees on a straight line.

180-57= 123

123-23=100

x=100

Hope this helps

Answer:

I broke it down for you

HELP ILL MARK AS BRAINLIEST!

Answers

Answer:

There is one solution (4,0)

Step-by-step explanation:

First, we will try to solve this system of equations.

I will rearrange 2x-5y=8 to isolate -5y.

The new equation would be 5y=2x-8.

Now we will add

2x -8 = 5y

with

-2x+8=5y

We get 0 = 10y

Divide by 10 and we get y = 0.

Now that we know the value of y, lets solve for x.

2x-8=5(0)

2x-8=0

Add 8

2x=8

Divide by 2 to isolate x

x = 4.

x=4 and y=0

The solution is (4, 0)

Solve for N. Express the solution in decimal form.

Answers

Answer:

N= 3.8

Step-by-step explanation:

Answer:

3.8

Step-by-step explanation:

i did this on iready and this was the answer.

What does 58/6 equal

Answers

Answer:

9.66666666667

Step-by-step explanation:

The fraction 58

6

is equivalent to 9 2

3

.

This fraction is a improper fraction once the absolute value of the top number or numerator (58) is greater than the absolute value of the bottom number or denomintor (6). So, the equivalent fraction is a mixed number which is made up of a whole number (9) and a proper fraction (2

3

).

The fraction 58

6

is equal to 58÷6 and can also be expressed as a decimal as 9.66667 and expressed as a percentage as 966.7%.

What is the slope of the line i need help asap

Answers

Answer:

Step-by-step explanation:

is C  -1/2

y=mx+b

2y=6-x

y=-x/2 +3

m=-1/2

A dolphin travels through the water at a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate

Answers

Answer:

B

Step-by-step explanation:

If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.

Answers

Answer:

The answer is "3107.75".

Step-by-step explanation:

[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]

[tex]\to p(t)= 2500 (1.022)^t[/tex]

when t= 0  

[tex]\to p(0) = 2500(1.022)^0[/tex]

           [tex]= 2500 \times 1\\\\= \$ 2500[/tex]

When t=10

[tex]\to p(10)=2500(1.022)^{10}[/tex]

             [tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]

who wants some pfpssssssssssssssssssssss

Answers

Answer:

what is that

Step-by-step explanation:

Answer:

I already have cool ones thx to u but brainlist plssssssssssssssssssssssssssss

Step-by-step explanation:

Witch ratio is less than 15/24

Answers

Answer:

Answer choices: 1/2, 7/8, 19/24, 6/8.

Step-by-step explanation:

Share £360 in the ratio 2:7

Answers

Answer:

80:280

Step-by-step explanation:

The artist realizes she has 49 ounces left . How many ounces of blue does she need to add

2 ounces of blue paint to every 7 ounces of yellow

Answers

Answer:

hwope this helps \(=^‥^)/’`

Step-by-step explanation:

Simplify-2(4x-6)+3(8x+2)

Answers

Answer:

-8x +12 + 24x +6 = 0

16x + 18 =0

16x = -18

x = - 18/16 = - 1.125

-8x+12 + 24x+6
Which then simplifies to:
16x + 18

a) In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race

Answers

Answer:

58.4 seconds

Step-by-step explanation:

Find the average of all the seconds by dividing the sum of the seconds by 4

Answer:

 233.53 s

The sum of best times for the legs is ...

 56.81 +59.22 +57.39 +60.11 = 233.53 . . . seconds

Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.

Find the measure of each angle in the problem: complementary angles with measures 4x and 5x-18 degrees

Answers

Answer:

42 degrees and 48 degrees

Step-by-step explanation:

If they are complementary, that means they add up to 90 degrees, so

4x + 5x - 18 = 90,

Solving,

9x - 18 = 90

add 18 to both sides

9x = 108

divide both sides by 9

x = 12

Now, to find the angle measures of each you have to substitute x = 12 into both angles.

4x --> 4 * 12 = 48 degrees

5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees

I NEED HELP!! But it's not an emergency. 50 Points!!

Answers

Answer:

D. x = 7 and m∠LMN = 120°

Step-by-step explanation:

Since MO bisect angle LMN, the angles formed are congruent:

∠LMO≅∠NMO

Substitute values and solve for x:

13x - 31 = x + 5313x - x = 53 + 3112x = 84x = 7

Find the value of ∠LMN:

m∠LMN = 2*m∠LMOm∠LMN = 2(13*7 - 31) = 120°

Correct option is D

Here,

MO is bisect of the [tex]\angle{LMN}[/tex],

SO,

[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]

According to the question,

[tex]\bold{ 13x-31=x+53 }[/tex]

[tex]\bold{ 13x-x=53+31 }[/tex]

[tex]\bold{12x=84 }[/tex]

[tex]\bold{x=\dfrac{84}{12} }[/tex]

[tex]\bold{x=7 }[/tex]

Now we find the value of [tex]\angle{LMN }[/tex]

so,

[tex]\angle{LMO}=2×\angle{NMO }[/tex]

[tex]\bold{ 2×(13×7-37) }[/tex]

[tex]\bold{2×(91-31) }[/tex]

[tex]\bold{2×60 }[/tex]

[tex]\bold{120° }[/tex]

PLEASE HELP!! WILL GIVE 200 POINTS PLUS BRAINLY!!!
Question2. Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)

Part B: How can you graph the equations obtained in Part A for the first 5 hours? (5 points)
Question 3. The graph shows the functions f(x), p(x), and g(x):

Graph of function g of x is y is equal to 2 multiplied by 0.85 to the power of x. The straight line f of x joins ordered pairs minus 7, 3 and minus 3, minus 2 and is extended on both sides. The straight line p of x joins the ordered pairs 4, 1 and minus 3, minus 2 and is extended on both sides.

Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)

Part B: Write any two solutions for f(x). (3 points)

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)

Question 4. The coordinate plane below represents a town. Points A through F are farms in the town.

graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, negative 2. Point E is at 5, negative 4. Point F is at 3, 4.

Part A: Using the graph above, create a system of inequalities that only contains points A and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points A and E are solutions to the system of inequalities created in Part A. (3 points)

Part C: Chickens can only be raised in the area defined by y < −2x + 4. Explain how you can identify farms in which chickens can be raised. (2 points)

Question 5. Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times the amount he paid the month before, Explain to Tom how to represent his first 30 payments in sequence notation, Then explain how to find the sum of his first 30 payments, using complete sentences,

Answers

https://brainly.com/question/11874728 here is the answer! pls give brainliest

Answer:

Slope intercept form: The straight line equation is given by:

, .....[1] where m is the slope of the line.

(A)

Let x represents the number of hours and y represents the velocity of the runner.

As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

we have two points as (1, 5) and (3, 3)

Calculate first slope.

Formula for slope(m) is given by;

Then substitute the given values we get;

Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;

Using distributive property:

Add both sides by 5 we get;

or

Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,

(B)

x            y = 6 -x

1             5

2            4

3            3

4            2

5            1

Now, plot these points on the graph for the first 5 hours  as shown below in the attachment.

Slope intercept form: The straight line equation is given by:

, .....[1] where m is the slope of the line.

(A)

Let x represents the number of hours and y represents the velocity of the runner.

As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

we have two points as (1, 5) and (3, 3)

Calculate first slope.

Formula for slope(m) is given by;

Then substitute the given values we get;

Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;

Using distributive property:

Add both sides by 5 we get;

or

Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,

(B)

x            y = 6 -x

1             5

2            4

3            3

4            2

5            1

Now, plot these points on the graph for the first 5 hours  as shown below in the attachment.

Step-by-step explanation:

if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180

Answers

Answer:

The answer is 80 :)

Step-by-step explanation:

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?

Answers

Answer:

The mean and standard deviation of Y is $6.56 and $2.77 respectively.

Step-by-step explanation:

Consider the provided information.

Let Y represent their profit on a randomly selected pizza with this promotion.

The company is going to run a promotion where customers get $2 off any size pizza.

Therefore, [tex]Y=\text{Profit}-\$2[/tex]

[tex]Y=X-\$2[/tex]

So the mean will be reduced by 2.

[tex]\mu_Y=\mu_X-\$2[/tex]

[tex]\mu_Y =\$ 8.56 - \$2[/tex]

[tex]\mu_Y =\$6.56[/tex]

If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.

Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]

Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.

What is the distance between -60 and -10 on
a number line?
units
90-80 -70 -60 -50-40-30-20 - 10
0
10

Answers

Answer:

50

Step-by-step explanation:

60-10

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