A sinusoidal function has an amplitude of 5 units, a period of 180°, and a maximum at (0, -1). Answer the following questions. # 1) Determine value of k. k = # 2) What is the minimum value? Min # 3)

Answers

Answer 1

The answer is,1) k = 2 2) Minimum value = -6

Given,

An amplitude of 5 units

A period of 180°

A maximum at (0, -1).

We know the formula of sinusoidal function is y = A sin (k (x - c)) + d

where,A = amplitude = 5units

Period = 180°

⇒ Period = 180° = 360°/k

⇒ k = 360°/180°

⇒ k = 2

A maximum at (0, -1)

⇒ d = -1

Therefore, the function is y = 5 sin 2(x - c) - 1

When x = 0, y = -1, we get -1 = 5 sin 2(0 - c) - 1⇒ 0 = sin(2c)

The smallest possible value of sin 2c is -1, which occurs at 2c = -π/2 + 2πn

⇒ c = -π/4 + πn

To find minimum value,

y = 5 sin 2(x - c) - 1

The minimum value of sin 2(x - c) is -1, which occurs when 2(x - c) = -π/2 + 2πn

⇒ x = π/4 + πn

Therefore, the minimum value of y is 5(-1) - 1 = -6

So, the answer is,1) k = 2 2) Minimum value = -6

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Related Questions

PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG

PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG

Answers

Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

while working as a reace driver, jalen nedded to replace the trie on his car, tries are sold by the measurment around the outside of the tire. he measures the dimeter of the tire be 24 inches. what size tire does he need to by ( round to the nearest half inch)?

Answers

Jalen need to buy a tire of 69.08 m.

Given that, the tire diameter is 24 inches, we need to calculate the size tire does Jalen need to buy,

To find the same, we will calculate the circumference of the tire,

Circumference = π × diameter

= 3.14 × 22

= 69.08

Hence, Jalen need to buy a tire of 69.08 m.

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2. Which equation represents a line that passes through the points (4, 5) and (6, 9)?​

Answers

Answer:

y=2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-5)/(6-4)

m=4/2

m=2

y-y1=m(x-x1)

y-5=2(x-4)

y=2x-8+5

y=2x-3

CAN SOMEONE HELP ME PLEASE

CAN SOMEONE HELP ME PLEASE

Answers

No I can not ask nicer

Kian is making cupcakes for a friend’s birthday. Each cupcake needs one fourth cup of frosting for the top. If Kian has 10 cups of chocolate frosting and 8 cups of vanilla frosting, how many cupcakes can he frost?

Answers

Answer: 72

Step-by-step explanation: Just mulitpy 18 by 4 or divided 18 by 1/4

Answer:

Kian can make 72 cupcakes with the amount of frosting they have

Step-by-step explanation:

each cupcake requires 1/4 cup of frosting.

They have 10 cups of chocolate frosting and 8 cups of vanilla frosting,

Since each cupcake requires 1/4th cup of frosting, with 1 cup, they can make 4 cupcakes,

Hence with the 10 cups of chocolate frosting they can make, (10)(4) = 40 cupcakes

And with the 8 cups of vanilla frosting they can make (8)(4) = 32 cupcakes

In total they can make 40 + 32 = 72 cupcakes with the1 0 cups of chocolate frosting and 8 cups of vanilla frosting

find the area of the trapezium​

find the area of the trapezium

Answers

Answer:

"16c"

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find the area of the trapezium

Answer:

16cm²

Step-by-step explanation:

Area of trapezium = ½(sum of parallel sides) x height

height= 4cm

parallel sides= 3cm and 5cm

½(3+5)cm x 4cm

½(8)cm x 4cm

32cm²÷ 2

16cm²

ESTIMATING RESULTS The figures show the number of taxpayers and the federal tax revenue for the United States in 2018.
Estimate the United States federal tax revenue per taxpayer.
US TAXPAYERS
122,176,626
T
US FEDERAL TAX REVENUE
$3,307,673,720,131

ESTIMATING RESULTS The figures show the number of taxpayers and the federal tax revenue for the United

Answers

Answer:

$27,072.88

Step-by-step explanation:

$3,307,673,720,131 ÷ $122,176,626

T is an exponential random variable with expected value 0.02 and B = { T > 0.04 }

a. What is the conditional expected value of T given B?
E[T|B] = ________
b. What is the conditional variance of T given B?
Var[T|B] = _________

Answers

T is an exponential random variable with expected value 0.02 and B = { T > 0.04 }

a. Then  the conditional expected value of T given B is E[T|B] = 0.06

b. Then the conditional variance of T given B is Var[T|B] = 0.0004

We are given that T is an exponential random variable with an expected value of 0.02, and B = { T > 0.04 }.

a. To find the conditional expected value of T given B, we need to calculate E[T|B]. For an exponential random variable, the conditional expectation E[T|B] can be calculated as:

E[T|B] = E[T] + t, where t is the lower limit of the conditional range (in this case, t = 0.04).

Given the expected value of T (E[T]) is 0.02, we can plug in the values:

E[T|B] = 0.02 + 0.04 = 0.06

b. For the conditional variance of T given B, Var[T|B], it remains the same as the original variance for an exponential random variable. To find the variance, we first need to calculate the rate parameter, λ:

λ = 1 / E[T] = 1 / 0.02 = 50

The variance of an exponential random variable is given by Var[T] = 1 / λ²:

Var[T|B] = Var[T] = 1 / (50²) = 1 / 2500 = 0.0004

Your answer:
a. E[T|B] = 0.06
b. Var[T|B] = 0.0004

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write a statement that creates a list called my_nums, containing the elements 5, 10, and 20.

Answers

A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

What are three types of arrays?

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

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i didnt understand PLEASE HELP!!!!
with the explanation please i need to understand to solve the rest

i didnt understand PLEASE HELP!!!!with the explanation please i need to understand to solve the rest

Answers

Answer:

No solution

Step-by-step explanation:

You are given a function involving the sine of angle Ф instead of the angle Ф itself.  Your task is to determine the angle Ф.

If 2 sin Ф - 3 = 0, then 2 sin Ф = 3, and sin Ф = 3/2 (or 1.5).  Recall, however, that the value of the sine function is never less than -1 or greater than +1; therefore there is no solution.

Solve the equation or formula for the variable indicated.
X-2y=1

Answers

Answer:

Step-by-step explanation:

-2y = -x -1
2y = x+1
y = 1/2x+1/2

Which expression is equivalent to the expression below?

2.1 + (–3.7h) + 1.9h – 1.4

Answers

The equivalent expression is -1. 8h + 0.7

What are algebraic expressions?

Algebraic expressions are defined as expression that are composed of variables, terms, coefficients, factors and constants.

They are also made up of arithmetic operations.

From the information given, we have that;

2.1 + (–3.7h) + 1.9h – 1.4

To simply this, we need to expand the bracket, we get;

2.1 - 3. 7h + 1.9h - 1.4

Now, collect the like terms, we get;

-3. 7h + 1. 9h + 2.1 - 1.4

Add or subtract the like terms

-1. 8h + 0.7

Hence, the expression is-1. 8h + 0.7

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The graph for a linear regression crosses the y axis in negative values. Where would the y-intercept of the regression line be located on the y-axis?
a) Above 0
b) Below 0
c) To the right of 0
d) To the left of 0

Answers

Answer:

The correct answer is

b) Below 0

The correct option is (d) To the left of 0.

If the graph for a linear regression crosses the y-axis in negative values, the y-intercept of the regression line would be located to the left of 0 on the y-axis.

Therefore, the correct option is (d) To the left of 0. How to find the y-intercept of the regression line?

The y-intercept of a regression line is the value where the regression line intersects with the y-axis. It is the point where x = 0. In order to find the y-intercept of the regression line, we can use the equation of the regression line, which is y = mx + b. Here, m is the slope of the line and b is the y-intercept.

Therefore, if the regression line crosses the y-axis in negative values, it means that the y-intercept (b) is negative, and the line intersects the y-axis to the left of 0.

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please help me on this! will give you brainliest, ty:,

please help me on this! will give you brainliest, ty:,

Answers

Answer: 4^9

Step-by-step explanation:

4^-7 is just 1/4^7 so this is equal to 4^2 divided by 1/4^7. Dividing by a fraction is the same thing as multiplying by its reciprocal (just flip the fraction). So this whole equation is equal to 4^2 multiplied by 4^7. And when you multiply two exponents with the same base, the exponents are just added. So, your answer should be 4^9. Hope this helps! :)

What is the product of 2x3 +9 and x3 +7?

Answers

The product of the expression is 2x⁶ + 23x³ + 63

How to determine the product

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

BracketAdditionMultiplicationDivisionParenthesesSubtraction

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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normal six-sided dice have a different number of pips (dots) on each face, from 1 to 6. you roll two such dice and add the result. 1) what is the probability of rolling 10 (rolling 10 and higher than 10)? 2) what is the probability of rolling an odd number? 3) what is the total that is most likely to result?

Answers

We can see that 7 is the total that is most likely to result, since it has the highest number of possible ways to roll it (6).


1) To find the probability of rolling a 10, we need to determine how many ways we can roll a 10 and then divide that by the total number of possible outcomes.

To roll a 10, we can get a 4 on one dice and a 6 on the other, or a 5 on one dice and a 5 on the other. So there are 2 ways to roll a 10.

The total number of possible outcomes is 6 x 6 = 36, since each dice has 6 possible outcomes.

Therefore, the probability of rolling a 10 is 2/36, which can be simplified to 1/18.

To find the probability of rolling higher than 10, we need to determine how many ways we can roll a total of 11, 12, or 13, and then divide that by the total number of possible outcomes.

To roll an 11, we can get a 5 on one dice and a 6 on the other, or a 6 on one dice and a 5 on the other. To roll a 12, we can get a 6 on both dice. To roll a 13, we can get a 6 on one dice and a 6 on the other.

So there are 4 ways to roll higher than 10.

Therefore, the probability of rolling higher than 10 is 4/36, which can be simplified to 1/9.

2) To find the probability of rolling an odd number, we need to determine how many ways we can roll an odd number and then divide that by the total number of possible outcomes.

To roll an odd number, we can get a 1, 3, or 5 on one dice and any number on the other dice, or we can get a 2, 4, or 6 on one dice and a 1, 3, or 5 on the other dice.

So there are 18 ways to roll an odd number.

Therefore, the probability of rolling an odd number is 18/36, which can be simplified to 1/2.

3) To find the total that is most likely to result, we need to determine which total has the most possible ways to roll it.

We can create a table to show how many ways we can roll each total:

Total | Number of Ways

2 | 1

3 | 2

4 | 3

5 | 4

6 | 5

7 | 6

8 | 5

9 | 4

10 | 3

11 | 2

12 | 1

From the table, we can see that 7 is the total that is most likely to result, since it has the highest number of possible ways to roll it (6).

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Micheal bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $400 less than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 8.5% per year, and for the laptop it was 5% per year. The total finance charges for one year were $412. How much did each computer cost before finance charges?

Answers

Let's call x the cost of the desktop. So, the cost of the laptop would be x-400 because it costs $400 less than the desktop.

Then, we express the following based on the given information.

\(0.085x+0.05(x-400)=412\)

Note that we use the percentages as their decimal expression. Let's solve for x.

\(\begin{gathered} 0.085x+0.05x-20=412 \\ 0.135x=412+20 \\ 0.135x=432 \\ x=\frac{432}{0.135} \\ x=3,200 \end{gathered}\)

The cost of the desktop is $3,200.

\(x-400=3,200-400=2,800\)

The cost of the laptop is $2,800.

Please help my work is almost due and I have no clue

Please help my work is almost due and I have no clue

Answers

Answer:

4 = x

Step-by-step explanation:

64 = x^3

Take the cube root of each side

64^ (1/3) = x^3 ^ (1/3)

4 = x

Suppose that the market research department of a famous bakery has determined that the most aesthetically pleasing donut has a thickness that is twice the inner radius of the donut (that is, the radius of the donut’s hole). The formula for the inner radius of the donut is given by the equation , where V is the volume of the donut in cubic centimeters. Use the table of values to help you answer the questions about r(v). -30 -0.80 -20 -0.70 -10 -0.55 0 0 10 0.55 20 0.70 30 0.80

Suppose that the market research department of a famous bakery has determined that the most aesthetically

Answers

Answer:

The information given are;

\(r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}\)

Where;

r(V) = The radius of the doughnut (cm)

V = The volume of the doughnut (cm³)

The data are;

V,          r(V)

-30,     -0.8

-20,     -0.7

-10,      -0.55

0,          0

10,         0.55

20,        0.7

30,        0.8

From the table of values, the identified key features are;

a) There is a direct relationship between the radius and the volume of the doughnut

b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above

c) The data values are symmetric and continuous about the y and x-axis

2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and  V where V = -30 and-20 at one end and 20 and 30 at the other end

b) The x and y-intercept are

The x -intercept = (0, 0)

The x -intercept = (0, 0)

c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)

d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R

Step-by-step explanation:

Suppose that the market research department of a famous bakery has determined that the most aesthetically

Find the Surface area of the trapezoid
please help
show work

Find the Surface area of the trapezoidplease helpshow work

Answers

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

brianliest!! 10 point!! hurry pls!!

brianliest!! 10 point!! hurry pls!!

Answers

Answer:

your answer is totally correct

the answer is parallelogram

(18 points) What is the approximate area of the circle shown below?

(18 points) What is the approximate area of the circle shown below?

Answers

Answer:

A

Step-by-step explanation:

because if you put in the radius of 3.7 you get 43.01 and if you round that up you get 43 which is A

Zoe is a high school basketball player. In a particular game, she made some free
throws (worth one point each) and some two point shots. Zoe made a total of 11 shots
altogether and scored a total of 15 points. Write a system of equations that could be
used to determine the number of free throws Zoe made and the number of two point
shots she made. Define the variables that you use to write the system.

Answers

Answer:

Step-by-step explanation:

Let's define the variables as follows:

Let x be the number of free throws Zoe made.

Let y be the number of two point shots Zoe made.

We know that Zoe made a total of 11 shots altogether, so we can write the equation:

x + y = 11

We also know that Zoe scored a total of 15 points. Since free throws are worth 1 point each and two point shots are worth 2 points each, we can write the equation:

x + 2y = 15

These two equations form a system of equations that can be used to determine the number of free throws Zoe made and the number of two point shots she made.

PLEASEE HELP ASAP!! 50 POINTS!

Select the correct answer. The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g?

PLEASEE HELP ASAP!! 50 POINTS!Select the correct answer. The graph of function f is shown. If g(x) =
PLEASEE HELP ASAP!! 50 POINTS!Select the correct answer. The graph of function f is shown. If g(x) =
PLEASEE HELP ASAP!! 50 POINTS!Select the correct answer. The graph of function f is shown. If g(x) =
PLEASEE HELP ASAP!! 50 POINTS!Select the correct answer. The graph of function f is shown. If g(x) =
PLEASEE HELP ASAP!! 50 POINTS!Select the correct answer. The graph of function f is shown. If g(x) =

Answers

The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g is show on the attachment

What is a graph?

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

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PLEASEE HELP ASAP!! 50 POINTS!Select the correct answer. The graph of function f is shown. If g(x) =

What is the surface area of the triangular prism? *
2 poin
5 in.
5 in.
4 in
15 in.
A
6 in.





HELP PLS ASAP

What is the surface area of the triangular prism? *2 poin5 in.5 in.4 in15 in.A6 in.HELP PLS ASAP

Answers

The correct answer to this question is 6 in

diagram shows the position of a ship (s) and a marine base (b) the scale of the diagram is 1cm represents 20km

a) work out the real distance between the ship and the base

b)measuring the bearing of B from S

c) a fishing boat (f) is 20km from s on a bearing of 95 degrees

diagram shows the position of a ship (s) and a marine base (b) the scale of the diagram is 1cm represents

Answers

The real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

How to find the scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.

The figure represent the position of the ship(S) and the marine base(B).

a) Real distance between the ship and the base is;

When the distance from ship and the base is measured by rules. It comes out 3.5 cm.

The scale of the diagram is 1 cm, represents 10 km. Thus,

BS = 10/ 1 x 3.5

BS = 35 km

b) Measure the bearing of B from S

With the help of compass, the bearing angle of B from S is measured as the given;

Angle BSN = 70 degree

Thus, the real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

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What is the domain of g?

Answers

What graph are you exactly referring to??
There are no pictures….. so I’m not sure

4) Write the following rational number in Pq form 1.) 2.514​

Answers

Answer:

3 or 2.5

both are correct answers

I need help with number 15 please help

I need help with number 15 please help

Answers

Answer:

15.2 , 21.5 , 27.9 , 29.5

Step-by-step explanation:

please give brainliest and help me on my recent

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of

Answers

The 'rise' and 'run' of the line is shown in figure whose slope is:  \(\frac{11}{13.5}\)

Define the term graph?

An x-y axis graphic is a visual representation of mathematical functions or data points on a Cartesian coordinate system. The x-axis represents the horizontal or independent variable, whereas the y-axis represents the vertical or dependent variable.

As we know that, the Slope of the line in terms of 'rise' and 'run' is;

Slope =  \(\frac{rise}{run}\)

by the figure, we can take two end points are (-4, -10) and (9.5, 1) so,

rise = (y₂ - y₁) = (1) - (-10) = 1 + 10 =  11

run = (x₂ - x₁) =  (9.5) - (-4) =  9.5 + 4 =  13.5

put the values to find slope,

Slope =  \(\frac{11}{13.5}\)  =  0.8148

Therefore, the rise and run is shown in below figure whose slope is: \(\frac{11}{13.5}\)

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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of
Other Questions
You have just come into an inheritance of $25,000 from a distant relative, and you want to invest it for the long term. Create an investment portfolio that includes five different stocks. Report the following for EACH of the five investment options:Stock name (and ticker symbol)Price per stock and how many stocks you purchasedTotal purchase price by stockTotal purchases (stay as close to $25,000) as possibleA brief reasoning for why you like this stockInstructions:Find companies that you can access stock prices for on a daily basis.Once you have found a company you like, research the investment results over the previous years and what experts say about the company's future Jim can swim 3/8 mile in 1/4 hr. What is Jim's unit rate? Total flight height can be considered to be a measure of the total energy required to break open a whelk. Why is this value lower for a platform set at 5 meters than for one at 2 or 15 meters? according to maslow, a person must first _____ before he or she can try to find meaning in life and contemplate what it means to be alive. Which did President Andrew Jackson support? FOR 50 POINTS HURRY PLEASE :DWrite five sentences correctly using each of the following prepositions once: um, gegen, fr, ohne and durch.Don't copy any sentences directly from any activity this unit, however, you may use sentences in other activities as PATTERNS for you to model your own sentences after. I need help question Which 1967 u.s. supreme court case held that juvenile courts must provide due process protections? +- 1. Who was the commander of the British forces in America in 1781?A. General RochambeauB. General HoweC. General CornwallisD. General Clinton if a person lives in the united states, then the person lives in the state of minnesota Using the following data, determine the percentage retained, cumulative percentage retained, and percent passing for each sieve. Sieve size Weight retained (g) No. 4 59.5 No. 8 86.5 No. 16 138.0 No. 30 127.8 No. 50 97.0 No. 100 66.8 Pan 6.3 Problem 2: Vector v has initial point (4, 3) and terminal point (-7, 9). Write v as a linear combination of the standard unit vectors i and j. The increase in the number of matches produced in California from 1980 to 1990 exceeds by how many million the increase in the number of matches produced in Oregon over the same period Suppose you are going to graph the data in the table:Minutes Temperature (C)5 2010 515 1020 625 2530 2135 1440 6What data should be represented on each axis, and what should the axis increments be? xaxis: minutes in increments of 5; y-axis: temperature in increments of 1 xaxis: minutes in increments of 5; y-axis: temperature in increments of 5 xaxis: temperature in increments of 5; y-axis: minutes in increments of 1 xaxis: temperature in increments of 1; y-axis: minutes in increments of 5 5x- 13x - 44 = 2 please help!!!!!!!!!!!!! Is this a question? Please hurry! the ju/'hoansi's increasing reliance upon refined carbohydrates and domesticated meat and dairy products in their daily diet has led to an increase in: !! PLS HELP QUICK!! Rock layers were found containing 30 kg of radioactive elements that had a half life of 5 million years. How old were the rock layersscientists determined that the samples had originally contained 120 kg of the radioactive materials?A 10 million years oldB. 5 million years old C. 15 million years old Write an equation with the following: m=1/2 b=-9 age: 41=350 bone density age:49=345bone densityage :57=340 bone density age : 61=325 bone density age:69=310 bone density calculate the correlation coefficient ,r.Round to three decimal places.