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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

what is this answer?​

Answers

Answer:

the answer is h=9

Step-by-step explanation:

the answer is h=9

27/3=9

(p - 4)(4p - 2)

Anybody know this

Answers

4p^2-2p-24p+8
Answer=4p^2-26p+8
(p-4)(4p-2)

Now you multiply the second parenthesis by each term from the first parenthesis

p*(4p-2)-4(4p-2)

4p^2-2p-4(4p-2)

4p^2-2p-16p+8

4p^2-2p-16p+8

Collect the like terms

4p^2-18p+8, is your answer

The diagram shows a regular hexagon and a parallelogram.

Answers

Answer:

180-112 = 68

120-68=52

Step-by-step explanation:

I think that is 52

Answer:

x=52

Step-by-step explanation:

180-112=68

use the equation :(n-2)x180

(6-2)x180=720

720/6=120

120-68=52

The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?

Answers

Answer:

a) the required percentage is 32.64%

b) the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Step-by-step explanation:

Given that;

mean μ = 14.7 %

standard deviation σ =33%

a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?

P( portfolio lose money )

= P( x< 0) P( 0-14.7 / 33 )

P( Z < -0.45 ) =  0.3264 ≈ 32.64%

Therefore, the required percentage is 32.64%

b)

the cutoff for the highest 15% of annual returns with this portfolio will be:

P( X ≥ x) = 15%

1 - P(X ≤ x) = 0.15

P(X ≤ x) = 0.85

P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1

form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2

from the equations;

(x-14.7 / 13 ) = 1.04

33 × 1.04 = x-14.7

34.32 = x-14.7

x = 34.32 + 14.7

x = 49.02%

Therefore, the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Consider the figure below.

part a- Determine sin(g)

part b- Determine tan(z)

part c- Determine cos(z)

part d- Determine sin(M)

Answers

Answer:

A) 77/427

B) 77/420

C) 420/427

Step-by-step explanation:

Sin= Opposite/Hypotenuse

Opposite always make a 90° with the Adjacent. adjacent and the Hypotenuse are across each other.

Cos= Adjacent/Hypotenuse

Tan= Opposite/Adjacent

Answer:

part a: 420/427

part b: 420/77

part c: 77/427

how many eighths make a quarter

Answers

Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from I to
number cube one time.
Dimas wants to roll a 2 or a 3. He rolls the
What is the probability that he will roll a 2 or a 3?
ОА .
OB
O D. 16

Answers

Answer:

0.333333 or 1/3

Step-by-step explanation:

I hope it is 1 to 6.

2 or 3 is the 2 numbers representing success

P(2 or 3) = 2/6 = 1/3

I don't understand the choices. Can you upload a picture of the question?

please help me asap!!!

Answers

Answer:

230

Step-by-step explanation:

Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.

Answer:

m< CDF = 58°

Step-by-step explanation:

Key skills needed: Congruent Triangles

1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.

2) Since both triangles have 1 right angle, they are both triangle triangles.

3) Both triangles share the same hypotenuse (DF)

Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC

Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it

HL means Hypotenuse-Leg

This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.

4) Since ΔEDF ≅  ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.

--> To say that < CDF is congruent to < EDF, we can use the theorem:

If Δs are ≅, then all corresponding parts are ≅.

5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)

Since <EDF is 58°, <CDF would also be 58°

Hope you understood and have a nice day!! :D

Will mark brainliest!!! Plz solve for each variable

Answers

Step-by-step explanation:

parallel

8g - 3 = 25

8g = 25 + 3

8g = 28

g = 28/8

g = 14/4

f + 30 + 72 = 180 (straight angle = 180°)

f = 180 - 30 - 72

= 78

An online furniture store sells chairs for $200 each and tables for $650 each. The
store must sell no less than $12000 worth of chairs and tables each day. Write an
inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

Answer: There’s alot of answers but one of the is 18 table with the cost of 11,700$ and 1 chair with 200$ so in totally it 11,900, less then 12,000

Step-by-step explanation:

An auto transport truck holds 12 cars. A car dealer plans to bring in 1, 150 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?


95 full truckloads with 12
cars on the 96th truck


960 full truckloads with 10
cars on the 961st truck


95 full truckloads with 10
cars on the 96th truck


96 full truckloads with 10
cars on the 97th truck

Answers

Answer:

95

Step-by-step explanation:

Ok so

so firs what we do is

1150/12 and ignore remainder

95 and remainder is 10

therefore we have 95 trucks full and 10 cars in the last truck

How to identify if the problem is a sample deviation problem or a population deviation problem?

Answers

Answer:

what?????????????????

(4y' - 49 +8) - 092-y+3)

Answers

Answer:

3y-130

Step-by-step explanation:

hope this was helpful! c:

Answer:

3y-130 hope this helps

Step-by-step explanation:

at.the zoo there is a ratio of zebra to giraffes 5:2 there are 21 animals how many zebra and how many graffies​

Answers

Step-by-step explanation:

Given that the ratio of zebras are 5 and giraffes are 2

We add them giving is 7

So: giraffe=2/7 × 21 = 6

Zebra 5/7 × 21 = 15

plz help due in 10 min

Answers

Answer:

the answer is A <_______________^______________

Please help quickly as possible thank you​

Answers

$68.11 all you have to do is add the tax to the amount paid for the shoes

In triangle ABC, m hypotenuse: AB, BC, or CA?

Answers

Answer:

The hypotenuse is the side AB

Step-by-step explanation:

Right Triangles

Right triangles are identified because they have an internal angle of 90°. The longest side is the hypotenuse and the two smaller sides are called the legs.

The hypotenuse is always opposite to the right angle.

The image provided below shows a right triangle ABC, whose angle C is 90°. Thus, the hypotenuse is the side AB.

Please Help realy I need it

Answers

the t shirts cost $3 more than tank tops

3 3/5 x (-8 1/3) =

Please help and quick

Answers

Answer:

3 3/5 x (-8 1/3) = -30/1

= -30

Step-by-step explanation:

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

(

x

1

)

(

x

+

2

)

(

2

x

+

3

)

(

x

2

x

1

)

(

0

)

(

x

+

3

)

Step-by-step explanation:

Zeke had 9 dvds. His mother bought d more DVD. Write an expression that shows how many dvds zeke has now

Answers

Answer: 9+d=x or x=9+d

d-the new dvds

x-the unknown total

9-the dvds Zeke owned before

And this one please​

Answers

I agree it’s A bc you look at the highest and lowest points going down and side ways

Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.

Which measurement is the best representation of the distance between point D and point E in units?

Answers

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle

Answers

P= L(W)
34= L(6.5)
then you go ahead and divide both sides by 6.5
so 34/6.5= 5.2
inconclusion: 5.231(6.5)= 34

Will mark brainliest!! Please do the two in green using cos!!

Answers

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]

Number 2:

[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]

I will give brainiest to whoever answers correctly !!

Answers

Answer: The interest is $6384

Please help me ASAP I’ll Mark Brainly

Answers

Answer:72

Step-by-step explanation:

Answer:

3(4 + 3 + 17)

Step-by-step explanation:

The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)

if x = -3 is a zero of f(x), which of the following must be true?
a) A factor of f(x) is (x – 3)
b) A factor of f(x) is (x + 3)
c) x = 3 is also a zero
d) f(x) has no real solutions

Answers

Answer: B

Step-by-step explanation: You make the values in the parentheses equal to zero.

(X + 3) = 0

X = -3

A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.

can someone help me?

Answers

Step-by-step explanation:

the answer would be

4

2

1

3

5

Q +2.02=9.2 q equals

Answers

Answer:

Q=7.18

Step-by-step explanation:

9.2-2.02=7.18

Answer:

7.18

Step-by-step explanation:

subtract 2.02 from 9.2

Solve the inequality 37v < -18

Answers

The Answer: V< - 18/37

Answer:

I'm not sure

Step-by-step explanation:

sorry need point

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