Which of the following are correct? (Answer this one without using a calculator.) 1. arccos(sins) - II. ectan(cot(-7) - III. arcsin(csc) - 4 O A. I only OB. Il only O C. Ill only OD. I and II only O E. 1, II, and III < PREVIOUS

Answers

Answer 1

Option C Ill only is the right option

How to find the correct option?

Let's analyze each option one by one:

I. arccos(sins):

The range of the arcsine function is [-π/2, π/2], and the range of the cosine function is [0, π].

Since the arcsine of any value is always between -π/2 and π/2, it is not possible to have a value outside that range. Therefore, arccos(sins) is not a valid expression.

II. ectan(cot(-7)):

The tangent function has a period of π, which means tan(x) = tan(x + π) for any value of x.

Therefore, tan(-7) is the same as tan(-7 + π) = tan(-7 + 3.14...) = tan(-3.14...), which is defined and equal to 0.

Since the cotangent is the reciprocal of the tangent, cot(-7) = 1/tan(-7) = 1/0, which is undefined. Thus, ectan(cot(-7)) is not a valid expression.

III. arcsin(csc):

The cosecant function (csc) is the reciprocal of the sine function, so csc(x) = 1/sin(x).

The arcsine function (arcsin) is the inverse of the sine function, so arcsin(sin(x)) = x for any x within the range of the arcsin function.

Therefore, arcsin(csc) simplifies to arcsin(1/sin), and since these functions are inverses of each other, arcsin(1/sin) = x.

The value of x depends on the specific value of sin, which is not provided.

Therefore, arcsin(csc) is a valid expression, but we cannot determine a specific value without knowing the value of sin.

Therefore, the correct answer is C. III only.

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Related Questions

The formula m =1/2(a+b) gives the mean M of two numbers a and b
a.express a in terms of m and b
b.hence find a when m=19 and
b=23

Answers

Answer:

a = 2m - b , a = 15

Step-by-step explanation:

(a)

m = [tex]\frac{1}{2}[/tex] (a + b) ← multiply both sides by 2 to clear the fraction

2m = a + b ( subtract b from both sides )

2m - b = a

(b)

when m = 19 and b = 23 , then

a = 2(19) - 23 = 38 - 23 = 15

a. 'a' in terms of m and b is given by: a = 2m - b.
b. when m = 19 and b = 23, the value of 'a' is 15.

a. To express a in terms of m and b, we can rearrange the mean formula:

m = (1/2)(a + b)

Now, we'll solve for 'a':

Multiply both sides by 2 to eliminate the fraction:

2m = a + b

Subtract 'b' from both sides:

2m - b = a

So, 'a' in terms of m and b is given by: a = 2m - b.

b. Now that we have the expression for 'a', we can find its value when m = 19 and b = 23:

a = 2m - b

a = 2(19) - 23

a = 38 - 23

a = 15

So, when m = 19 and b = 23, the value of 'a' is 15.

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Kimo went into a bakery where they sell cookies for $0.75 each and brownies for $1.25 each. Kimo has $15 to spend and must buy no less than 12 cookies and brownies altogether.




a. Define the variables. (4 pts)




b. Write the system of inequalities that could be used to solve the situation. DO NOT SOLVE. (4 pts)

Answers

a) The variables are:

x = number of cookies bought.y = number of brownies bought.

b)

x + y ≥ 12

x*$0.75 + y*$1.25 ≤ $15

How to write the system of inequalities?

a) First we need to define the variables, in this case we have:

x = number of cookies bought.y = number of brownies bought.

b) Now we want to write the system, we know that he must buy at least 12 items, then:

x + y ≥ 12

And he can spend, at most, $15, then:

x*$0.75 + y*$1.25 ≤ $15

These two inequalities conform the system of inequalities:

x + y ≥ 12

x*$0.75 + y*$1.25 ≤ $15

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Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!

Answers

Answer:

b

Step-by-step explanation:

b shows direct variation because we can clearly tell that the slope of the graph is 1/2. The graph is also linear, and it crosses the origin (0,0).

a: This graph can be represented as y=2, and that is not a direct variation.

b: Above explanation. This graph is a direct variation.

c: This graph can be represented as x=-8, and that is not a direct variation.

d: This graph has the slope, but it does not cross the origin, so it is not a direct variation.

Answer:

Graph b

Step-by-step explanation:

Direct variation means "y varies directly as x”:

Direct variation equation:

[tex]y=kx[/tex]

where k is the (non-zero) constant of variation.

Note, therefore, that a direct variation equation passes through the origin,  as when x = 0:  

[tex]\implies y=k(0) \implies y=0[/tex]

Graph a

y does not change as x varies.

Therefore this graph does not model a direct variation.

Graph b

As x gets bigger, so does y.  As x gets smaller, so does y.  

The line passes through the origin (0, 0).

Therefore this graph models a direct variation.

Graph c

x does not change as y varies.

Therefore this graph does not model a direct variation.

Graph d

As x gets bigger, so does y.  As x gets smaller, so does y.  

However, the line does not pass through the origin (0, 0).

Therefore this graph does not model a direct variation.

Determine the length of side QR in the following triangle

Answers

The length of the side QR in the task content can be determined as; 12.22cm.

What is the length of the third side QR?

It follows from the task content that 2 lengths and one included angle are given in the task content. It therefore follows that the length of side QR can be evaluated by the cosine rule as follows;

QR² = 13² + 4² - (2×4×13×cos70)

QR = √149.4

QR = 12.22cm

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Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
RootIndex 4 StartRoot 2 cubed EndRoot
StartRoot 2 Superscript 5 EndRoot
RootIndex 4 StartRoot 4 cubed EndRoot
StartRoot 4 Superscript 5 EndRoot

Answers

If nine plus 10 is 21 and the square root of the sun is blank

Answer:

D

Step-by-step explanation:

give: ∠BDE ≅ ∠CDE and BD ≅ CD.
Prove ∠ABD ≅ ∠ACD

Answers

3) [tex]\angle ADB[/tex] and [tex]\angle BDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)

4) [tex]\angle ADC[/tex] and [tex]\angle CDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)

5) [tex]\angle ADB \cong \angle ADC[/tex] (supplements of congruent angles are congruent)

6) [tex]\triangle ADB \cong \triangle ADC[/tex] (SAS)

7) [tex]\angle ABD \cong \angle ACD[/tex] (CPCTC)

What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
5 cm
4 cm
3 cm

Answers

Answer:

v =L× b×h

=5× 4×3

=60 cubic centimeter

help what’s the answer? confused

Answers

Answer:

D. continuous

Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of them have?

Answers

Solving a system of equations we can see:

Sutopa has $73.20Maneet has $97.60Kim has $115.60

How much money each of them has?

First, let's define the variables:

S =  money that Sutopa has.M = money that Maneet has.K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

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URGENT! WILL GIVE BRAINLIEST!

Answers

Answer:

150 [tex]m^{2}[/tex]

Step-by-step explanation:

Consider the figure as an isosceles triangle and a rectangle combined.

ISOSCELES TRIANGLE

[tex]A = \frac{1}{2} bh[/tex]

[tex]A = \frac{1}{2} *15*12[/tex]

A = 90

RECTANGLE

[tex]A=lw[/tex]

[tex]A = 5*12[/tex]

[tex]A = 60[/tex]

60 + 90 = 150

Answer:

150m

Step-by-step explanation:

break up the polygon into a triangle and a rectangle.

Triangle:

to find the height of the triangle, subtract 5 from 20

height = 15m     base = 12m

[tex]area=\frac{1}{2}bh\\ A=\frac{1}{2} (12)(15)\\A=6(15)\\A=90m[/tex]

rectangle:

[tex]A=bh\\A=12(5)\\A=60m[/tex]

Add both areas together:

[tex]90+60=150m[/tex]

Determine the perimeter of the figure.

Answers

Answer:

[tex]\huge\boxed{\sf 7x + 10\ cm}[/tex]

Step-by-step explanation:

Perimeter:Sum of all sides of a figure is the perimeter of the figure.Perimeter of the figure:

= 5 + 2x + 2x + 5 + 3x

Combine like terms

= 2x + 2x + 3x + 5 + 5

= 7x + 10 cm

[tex]\rule[225]{225}{2}[/tex]

Answer:

7x + 10

Step-by-step explanation:

Perimeter is the sum of all the sides together, the distance around a shape.

3x + 5 + 2x + 2x + 5

Organize so the variables are on one side

3x + 2x + 2x + 5 + 5

Combine like terms:

7x + 10

Your answer would be: 7x + 10

I hope it helps! Have a great day!

bren~

What divided by 4 equals 9/4
( 9/4= Divided by 4 )

Answers

Answer

16/9

Step-by-step explanation:

I don't know if this is right or not and I'm sry if its wrong

but 16/9 divided by 4 = 9/4 

If point (4, 5) is on the graph of a function, which equation must be true?

f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1

Answers

Answer:

f(4) = 5

Step-by-step explanation:

Think about it this way

a point with an x value of 4,

this x value is put into the function,

then the function outputted a y value (or value) of 5.

So, we can name this function f(x)

Then,  we let x = 4,

then the output for f(4) = 5

Answer: f(4) = 5

Step-by-step explanation:

      If the point (4, 5) is on the graph of a function, this means that when you input 4 you get an output of 5.

      Inputs are usually shown with the x-coordinate, and outputs are usually shown with the y-coordinate.

      This means that (4, 5) is an input of 4 for an output of 5.

Construct a tangent to a circle through a point outside the circle using the construction tool. insert a screenshot of the construction here. alternatively, construct a tangent to a circle through a point outside the circle by hand using a compass and straightedge. leave all circle and arc markings. (10 points)

Answers

Tangent of a circle is a line which touches the circle at a point from outside the circle.

Given a tangent to a circle through a point outside the circle.

We have to draw a tangent to a circle from point outside the circle.

Tangent of a circle is a line which touches the circle at a point from outside the circle.. The point at which tangent touches the circle is known as point of contact.The radius of the circle and tangent are perprndicukar to each other at the point of contact. There cannot be any tangent  to the circle through a point inside the circle. There can be one tangent to a point on the circle. The steps of drawing a tangent to a circle are as under:

1) Draw a circle with the radius neede with center O.

2) Join center of the circle O and any point P on the circle OP is the radius of the circle.

3) Draw a line perpendicular to radius OP through point P which is the intersection point of tangent and circle.

This line is the tangent to the circle at P.

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Answer:

igu

you could crop out question n use pic :)

the current value of a new car is 18,000. the car will depreciate 15% per year over the next 5 year. which exponential equation models this situation

Answers

The exponential equation that models this situation is:

[tex]V(t) = 18000(0.85)^t, 0 \leq t \leq 5[/tex].

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

For this problem, the parameters are:

A(0) = 18000, r = 0.15.

Hence the equation for the value of the car over the next 5 years is:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 18000(1 - 0.15)^t[/tex]

[tex]V(t) = 18000(0.85)^t, 0 \leq t \leq 5[/tex].

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The length of the rectangle is 10.4cm. the perimeter of the rectangle is 28cm. calculate the area of the rectangle.

Answers

Answer:

37.44 cm²

Step-by-step explanation:

To find the width, follow these steps.

10.4*2=20.8

28-20.8=7.2

7.2/2=3.6

The width is 3.6.

To find the area, multiply the width and the length together.

10.4*3.6=37.44

The area of the rectangle is 37.44 cm²

Hope this helps!

chegg Based on the graph of the general solution to the differential equation dy over dx equals 2 times x minus 2 times y comma which of the following statements is true

Answers

The statement which is true is the slopes are all positive in quadrant I.

Given the differential equation is dy/dx=2x-2y

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

Given dy/dx=2x-2y

now slope=2x-2y

Along x-axis, y=0.

So, slope=2x≠0.

Since it depends upon x hence the slope along the y-axis are not horizontal.

Along y-axis, x=0.

So, slope=-2y≠0.

Since the slope along the x-axis are also not horizontal.

In quadrant I

x,y≥0

So, dy/dx≥0

Hence the slopes are all positive in quadrant I.

In quadrant IV,

x≥0,y≤0

so, dy/dx is  not always positive.

This, the slope are not all positive in quadrant IV.

Hence, the slope are all positive in quadrant I for the differential equation dy/dx=2x-2y.

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The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How many seats are in the theater?



Anyone is here



Answers

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

7/11 = x/9
Round your answer to the nearest tenth.

Answers

The solution to the given fraction 7/11 = x/9 to the nearest tenth is 5.7

Fraction

7/11 = x/9

cross product

7 × 9 = 11 × x

63 = 11x

divide both sides by 11

x = 63/11

x = 5.72727272727272

Approximately,

x = 5.7

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A dog gave birth to 9 puppies, of which 2 are brindle. What is the ratio of brindle puppies to non-brindled puppies?

Answers

Answer:

2:7

Step-by-step explanation:

If 2 of the puppies are brindle that leaves 7 that are not out of the nine making the ratio 2:7.

Describe the steps you would take to solve the given literal equation for m as shown.

Answers

For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .

Power Rules

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

The question gives: [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex] and from the previous equation, you should find [tex]m=\frac{kt^2}{4\pi ^2}[/tex].

STEP 1 - Applying the power 2 on both sides of the equation [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex].

[tex]t=2\pi *\sqrt{\frac{m}{k}}\\ \\ t^2=(2\pi *\sqrt{\frac{m}{k}})^2\\ \\ t^2=4\pi ^2*\frac{m}{k}[/tex]

STEP 2 - Rewriting the equation  [tex]t^2=4\pi ^2*\frac{m}{k}[/tex]  as a function of the variable m .

[tex]t^2=4\pi ^2*\frac{m}{k}\\ \\ t^2k=4\pi ^2m\\ \\ m=\frac{kt^2}{4\pi ^2}[/tex]

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Answer:

1. divide both sides of the equation by 2pi

2. square both sides of the equation

3. use the rule to simplify a fraction to a power

4. multiply both sides of the equation by k

Step-by-step explanation:

edg '22

If two sides of a triangle have lengths of 8 in and 12 in what are the possible lengths

Answers

Answer:

The possible length of the third side is greater that 4ft and less that 20 ft

4<x<20

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3

x > –3
x < 3
x > 3

Answers

x<3

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

(–10 + 8x) < 6x – 4

8x –6x < –4 + 10

2x < 6

x < 3

For question 1-8 calculate the surface area. If necessary round to the nearest hundredth

Answers

Surface area = 400 unit square

Surface area = 1100 unit square

Surface area = 1100 unit square

Surface area = 2400 unit square

How to determine the surface area

The first figure is a cuboid;

Surface area of a cuboid = 2lw+2lh+2hw

L = 9

W = 11

h = 4

Surface area = 2( 9 × 11) + 2(9 × 4) + 2( 4× 11)

Surface area = 2(99) + 2(36) + 2(44)

Surface area = 198 + 72 + 88

Surface area = 400 unit square

Surface area of a triangular prism = Area of top + area of base

Area of the top = 1/ 2 b × h

Area = 1/2 × 4 × 8

Area = 16 unit square

Area of base = length × width

Area = 4× 4

Area = 16 unit square

Surface area = 16 + 16

Surface area = 1100 unit square

Surface area of a cylinder = 2πrh + 2πr² = 2 ( 3. 412 × 7. 5 × 15) + 2 ( 3. 141× 7. 5 × 7.5)

Surface area = 706. 95 + 353. 48

Surface area = 1100 unit square

Surface area of a cone =πr(r+ √h² + r2)

Surface area = [tex]3. 142 * 15 ( 15 + \sqrt{10^2 +34^2 }[/tex]

Surface area = [tex]47. 13 * 50. 44[/tex]

Surface area = 2400 unit square

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find the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube

Answers

The smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

Perfect cube quotient of a division

The given number is 29160

Note that:

29160 can be factored into 5832

That is, 29160 = 5832 x 5

Take the cube of 5832:

[tex]\sqrt[3]{5832}=18[/tex]

Since it has been confirmed that 5832 is a perfect cube, the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

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Jerome solved the equation below by graphing. log subscript 2 baseline x log subscript 2 baseline (x minus 2) = 3

Answers

x = 4 would be the solution of the given problem.

I can't speak to the first part of this question, as I don't totally have context for what they're asking, but we can solve for x using one of the laws of logarithms, namely:

log.m + log.n = log.mn

Using this law, we can combine and rewrite our initial equation as

log(x^2- x) = 3

Remember that logarithms are simply another way of writing exponents. The logarithm  is just another way of writing the fact . Keeping that in mind, we can express our logarithm in terms of exponents as

log(x^2- x) = 3 --> x^2- 2x = 8

2³ = 8, so we can replace the left side of our equation with 8 to get

x^2 - 2x - 8 =0

(x-4)(x+2) = 0

Hence x = 4 0r -2. As x cannot be negative so it would be 4.

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A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.

show your work

Answers

The width of the freezer is 2.25ft

Volume of a rectangular prism

The formula for calculating the volume of rectangular prism is expressed as:

V = lwh

Given the following

length l = 8feet

w is the width

height h = 3feet

Substitute

54 = 8*3w

54 = 24w

w = 54/24

w = 2.25ft

Hence the width of the freezer is 2.25ft

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A square piece of paper measures 20

centimeters on each side. Four equally-
sized circles are going to be cut out from

the paper. What is the largest possible
area of ONE of the circles?

Answers

The largest possible area of one of the circles would be 314. 2 cm²

Area of a circle

It is important to note that the formula for finding the area of a circle is given as;

Area = [tex]\pi r^2[/tex]

From the information given, we have the sides of the square to have a value of 20cm

Also note that the measure of the sides of the square is the size of the diameter of the circle

But we need to find the radius

radius = diameter/2

radius = 20/ 2 = 10cm

Substitute value of radius into the formula for area

Area = 3. 142 × 10^2

Area = 3. 142 × 10 × 10

Area = 314. 2 cm²

The area of the circle is 314. 2cm^2

Thus, the largest possible area of one of the circles would be 314. 2 cm²

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GOOD AFTERNOON BRAINLIESTS! Please help me with this question! TYSM!
- xXIndieKidXx

Answers

Answer:

Domain: All real numbers ; Range: y> -3

Step-by-step explanation:

find the only one digit number that is both a square number and a cubic number​

Answers

Answer:

the only one digit number that is cube and square would be 1

Step-by-step explanation:

because 1 x1 = 1 and 1×1×1= 1

no other one digit number is both a square number and cubic number :)

hope it helps please let me know if you need more help :)

The answer would be 1.



Square root of 1 is 1.

1 to the cubed root is also 1.
Other Questions
Evaluate the expression use calculator if needed What theme does the author develop about acceptance in paragraphs 1-7? A.It is essential to confront individuals when they make fun of other people for their differences.BThe ability to use one's native wit is a powerful way to get people to understand each other better.C.Even though people may look different from one another, it is important to be kind to others.D. Using one's physical strength is critical in being able to help others who are less able or fortunate.D.l Who wrote I must go down to the sea again to the lonely sea and the sky? Describe and correct the error a student made in graph in the function y= 5/x drew was shopping on amazon on black Friday. he purchased 5 DVDs all at the same price. the tax on his purchase was 6 bring the total cost to 61. what was the price of each DVD? Is oil considered a natural resources? Which of the following best describes the political functions of mass media? Identify the least reactive element from the following.A816XB1020XC1123XD919X 1 economics 1; You know that the inflation rate and unemployment are the very terrifying macro-economic problems in Ethiopia, there fore Sate clearly the Suggested Policy instruments to reduce these problems? How do you know if a domain is all real numbers? Can someone help me out with this question fast!?!?! The picture below is of a ceremonial rite installing the new pharaoh in Egypt. What type of government is represented in this picture? An unusually wet spring has caused the size of a mosquito population in some city to increase by 7% each day. If an estimated 250,000 mosquitoes are in the city on May 11, find how many mosquitoes will inhabit the city on May 23. Use y250,000(1.07)x where x is number of days since May 11 Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Complete the table of inputs and outputs for the given function. g(x)=38x What precedent was established by Gideon v. Wainwright? O The accused have the right to double jeopardy The accused have the right to no illegal searches O The accused have the right to an attorney O The accused must have their rights read to them What is f(-3) if f(X) =1/3x please help me with this questionthe cleave of a mineral___20 points Classify the statements as describing a gene, a chromosome, or a genome.Gene Chromosome Genome Each organism has one Determines a particular characteristic of an organism Describes the collection of all of the replicable genetic material of a cell or organism Codes for a specific Is the largest Is a linear or protein or RNA molecule in the cell circular molecule Encodes all the heritable Is a unit of DNA carrying genetic traits of an organism information encoded in genes Is a contiguous Functions to package, organize, Acts as the basic piece of DNA and regulate access to DNA unit of heredity May include plasmids assume that general motors employs labor and materials, whose costs are denominated in dollars, in the production of automobiles. if the dollar's exchange value appreciates by 10 percent against the yen, the yen-denominated cost of a gm vehicle falls by 10 percent. A good nursing decision maker is one who: