On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 2, negative 2) and then goes up through (negative 4, 2) with an arrow instead of an endpoint. The second line has an open circle at (2, 1) and then goes up through (5, 4) with an arrow instead of an endpoint.

Which values are within the domain of the function? Check all that apply.


x = –6

x = –4

x = –2

x = 0

x = 2

x = 4


its A B C F

Answers

Answer 1

Answer:

-4, -2 and 4

Step-by-step explanation:

Consider x represents the input value,

Given,

In the piece-wise function,

The first line has a closed circle at (-2, negative 2) and then goes up through (-4, 2) with an arrow instead of an endpoint.

Thus, -4 ≤ x ≤ -2.

The second line has an open circle at (2, 1) and then goes up through (5, 4) with an arrow instead of an endpoint.

Thus, 2 < x ≤ 5.

Since domain of a function is all possible input values,

Therefore, domain = [-4,-2]∪(2,5]

-6 ∉ [-4,-2]∪(2,5]

-4 ∈ [-4,-2]∪(2,5]

-2 ∈ [-4,-2]∪(2,5]

0 ∉ [-4,-2]∪(2,5]

2 ∉ [-4,-2]∪(2,5]

4 ∈ [-4,-2]∪(2,5]

Hence, -4, -2 and 4 are within the domain of the function.

Answer 2

Answer:

The person who ask this question is right its ABCF

Step-by-step explanation:


Related Questions

Which expression is equivalent to y times y times y times z times z times z times z? y cubed z Superscript 4 12xy (y z) Superscript 7 7xy

Answers

Answer:

Option 1 - y cubed z superscript 4

Step-by-step explanation:

Given : Expression y times y times y times z times z times z times z.

To find : Which expression is equivalent to given expression ?

Solution :

Re-write the expression as,

[tex]y \times y \times y \times z \times z \times z \times z[/tex]

Write the number of time value repeat itself as the power,

[tex]y \times y \times y \times z \times z \times z \times z=y^3\times z^4[/tex]

[tex]y \times y \times y \times z \times z \times z \times z=y^3z^4[/tex]

or we can say that the expression is y cubed z superscript 4.

Therefore, option 1 is correct.

Answer:

it is A).

Step-by-step explanation:

Simplify -2 ^3. -------------------------------------------

Answers

Answer:

-8

Step-by-step explanation:

-2^3

-8

Answer:  -8

Answer: -8

Step-by-step explanation:

-2x-2x-2=-8

Which of the following represents a horizontal line that passes through the point (2,-6)?
(1) y=6
(2)x=2
3) y = 2x - 6
4) y = -6x + 2​

Answers

If number 1 is supposed to be -6 then it is number 1. But I could be wrong but I’m pretty sure

Quinn has 6 bottles of water that each weigh 3/5 pound. What is the total weight of the water bottles? Use the number line to help

Answers

Answer:

The weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]

Step-by-step explanation:

Given:

Total number of bottles = 6

Weight of each bottle = [tex]\frac{3}{5}[/tex] pound

To find the total weight of 6 bottles.

Solution:

We can plot the number line for six bottles.

We can the plot the weights in another number line.

Each unit represents [tex]\frac{3}{5}[/tex] pound of weight.

As the number of bottles increase the number of pounds of weight increase by  [tex]\frac{3}{5}[/tex] .

Thus, weight of 6 bottles = [tex]\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}[/tex] [tex]=\frac{18}{5}[/tex] pounds

Converting fraction to mixed number.

[tex]\frac{18}{5}=3\frac{3}{5}[/tex] pounds

Or in decimals [tex]\frac{18}{5}=3.6\ pounds[/tex]

Thus weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]

The water level in a swimming pool increased from 4.5 feet to 6 feet.What is the percent increased in the water level rounded to the nearest tenth of a percent?Show your work

Answers

Answer: The answer is  80.5  percent

Step-by-step explanation:

Because 6 = 100 percent  4.5 = 80.5  

I need help understanding this homework. I am totally lost. It says Solve the problem, show your work and PQPA your answer. My daughter has to turn this paper in tomorrow morning.

Answers

Step-by-step explanation:

I'm guessing that "PQPA" means like Problem Question, Problem Answer (so what you are trying to find, and what it is (I think)).

That means the first problem is (3/4)+(7/8) = 13/8 and "How much water is collected in two hours?"

This means the second problem is (2 1/3) - (1 3/4) = (7/3)-(7/4) = 7/12 and "How many pounds of beef are left"

This means the third problem is (1 -(1/6))(2/5) = (5/6)(2/5) = 1/3 and "What fraction of her paycheck is saved"

This means that the fourth problem is (3/4)(2/3) = 1/2 and "How long did it take Megan to do her HW?"

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = x
h(x) = 2x

Answers

ANSWER IS D HOPE IT HELPS

Use the Distributive Property to find 1/3 x 6 1/2
.

Answers

Answer:

13/6 or 2 1/6

Step-by-step explanation:

6 1/2 = 13/2 (Improper Fraction)

1/3 = 2/6 (1/3 is just simplified)

1/3 x 1 + 1 + 4 + 6 + 1 = Answer

(13/2 x 1/3 = 13/6)

Solving the expression using the Distributive Property, we get 13.6.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

(1/3) x (6 1/2)

We have the expression -

(1/3) x (6 1/2)

(1/3) x (6 + 1/2)

(1/3 x 6) + (1/3 x 1/2)

2 + 1/6

13.6

Therefore, solving the expression using the Distributive Property, we get 13.6.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ5

Find the maximum value of
C = 4x + 2y
Subject to the following constraints:
x > 0
y>0
2x + 2y < 10
3x + y < 9

Answers

Answer:

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints:

[tex]x\geq 0[/tex] ----> constraint A

[tex]y\geq 0[/tex] ----> constraint B

[tex]2x+2y\leq 10[/tex] ----> constraint C

[tex]3x+y\leq 9[/tex] ----> constraint D

Solve the system of inequalities by graphing

using a graphing tool

The solution is the quadrilateral shaded area

see the attached figure

The vertex of the figure are

(0,0),(0,5),(2,3) and (3,0)

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function C and then compare the results

we have

[tex]C=4x+2y[/tex]

[tex]For (0,0) -----> C=4(0)+2(0)=0\\For (0,5) -----> C=4(0)+2(5)=10\\For (2,3) -----> C=4(2)+2(3)=14\\For (3,0) -----> C=4(3)+2(0)=12[/tex]

therefore

The maximum value of C is 14

Answer:

The maximum value is c=14

Step-by-step explanation:

I hope this helps

I also did the question on acellus

What is one half after 4:00 in the morning

Answers

Answer:

Step-by-step explanation:

4:30am

The original price of the shorts is $35. They are on sale for 25% off. What is the sale price?

Answers

Answer:

$26.25

Step-by-step explanation:

So what you do is divide 25 by 100 so its a decimal .25 then multiply that by 35 and you get 35/4 or 8.75 you take that number and subtract it from 35 and you get 26.25.

For future reference what ever percentage you have like if says it went up 80% you divide that by a hundred also and you get .80 you multiply that by 35 you get 28 you don't subtract it from the original price but you add it so you get 35+28=63 and that's your final answer.

Remember you divide the percentage for example 25 by 100 multiply by the price it gives for example 35 if the question says off you subtract what you got from the original price if it went up you add it to the original price and that's your final answer. Hope this help :)

What value of x makes the equation true? 4x - 3= -9 + 7x
2
-2
−12
12

Answers

Answer:

x = 2

Step-by-step explanation:

Given

4x - 3 = - 9 + 7x ( subtract 7x from both sides )

- 3x - 3 = - 9 ( add 3 to both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = 2

In the figure below, triangle RPQ is similar to triangle RTS.
What is the distance between P and Q?
0 24
0 42
50
0 54
Unmark this question
Save and Exit
Next

HELP ASAP PLZ

Answers

Answer:

PQ = 54

Step-by-step explanation:

The rest of the question is the attached figure.

As shown:

triangle RPQ is similar to triangle RTS.

So, the corresponding sides are in proportion.

[tex]\frac{PQ}{TS}= \frac{RP}{RT}[/tex]

From the figure:

TS = 36 , RP = 42 AND RT = 28

∴ [tex]\frac{PQ}{36} = \frac{42}{28} \\[/tex]

∴ PQ = 36 * 42/28 = 54

So, the distance between P and Q = 54

If Joe makes 16 out of 40 free throws in a
basketball game, what is his free throw shooting
percentage?

Answers

The answer would be 6.4% because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640%

Answer:

the answer is 6.4%

Step-by-step explanation:

Because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640% hope it helps!!!!!!!!!

You have $512.50. You earn additional money by shoveling snow. Then you purchase a new cell phone for $249.95 and have $482.55 left. How much money do you earn shoveling snow?

Answers

You make $220 dollars shoveling snow

The person earned $220.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

The person initially has $512.50.

The total money person spends is:

$249.95 + $482.55

=$732.5

Now, subtract 512.50 from 732.5 to get the money earned by the person:

$732.5 - $512.50

= $220

Hence, the person earned $220.

To learn more about subtraction, click here:

https://brainly.com/question/2346316

#SPJ2

An ice cream store sells
28 flavors of ice cream. Determine the number of 44
dip sundaes How many 4 dip sundaes are possible if order is not considered and no flavor is​ repeated?
11.8#7

Answers

Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

Step-by-step explanation:

We have , an ice cream store sells 28 flavors of ice cream, determine the number of 4 dip sundaes. how many are possible if order is not considered and no flavor is repeated? Let's find this:

There are we flavors available as the first sundae flavor. After selecting a flavor for the first sundae flavor there are 27 flavors available for the second. The same way there are 26 flavors for the third sundae flavor and 25 flavors available for the forth sundae flavor. So, Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is  [tex]28(27)(26)(25)=491400[/tex] available sundaes.

Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

What is the ratio of blue shapes to all shapes in the set below?
2 blue triangles, 1 blue circle, and 2 blue squares. 1 orange square, 2 orange circles, and 1 orange triangle.
4:9
5:9
4:5
5:4

Answers

Answer:

[tex]ratio=\frac{5}{9}[/tex]

Step-by-step explanation:

Let

x ----> the number of blue shapes in the set

y ----> all shapes in the set

we know that

To find out the ratio of blue shapes to all shapes in the set , divide the number of blue shapes in the set by the number of all shapes in the set

we have

[tex]x=5\\y=9[/tex]

therefore

The ratio is equal to

[tex]ratio=\frac{x}{y}[/tex]

substitute

[tex]ratio=\frac{5}{9}[/tex]

Answer: It would be letter B (5:9)

Step-by-step explanation:

Brett has 100 feet of fence with which to
make a rectangular cage for his dog. The
area of the cage in square feet is given
by the polynomial -W + 50w, where wis
the width of the cage in feet. What is the
area of the cage if the width is 8 feet?
a) 114 ft2. b) 336 ft?
C) 384 ft? d) 464 it

Answers

C lejgjjf484885845886

Answer:

D 464

Step-by-step explanation:

lemme know if you need an explanation

what is the total cost with sales tax? $370.00 tax 5%

Answers

Answer: $388.5

Step-by-step explanation:

Total cost = cost + sales tax

Given that cost = $370

Sales tax = 5% of $370

5/100 × 370 = $18.5

Total cost = $370 + $18.5

= $388.5

I hope this is clear.

why is it that |-9| = |9|

PLEASE HELP ASAP

A: The absolute value of a number gives its distance from zero on the number line.

B: when you multiply either number by -1, you get the other.

C: The absolute value of a number always gives the opposite of a negative number in the square of a positive number.

D: when the numbers are squared, they give the same answer.

Answers

Answer:

The answer A. "The absolute value of a number gives its distance from zero on the number line."

Step-by-step explanation:

An absolute number has these in it '| |'. An absolute number always is positive, because it represents a difference.

For example, the difference of 0 and -30 is |30|.

Though 0 - 30 is -30, the DIFFERENCE is |30|.

As the answer says, "its distance from zero on the number line".

Final answer:

The absolute value of -9 equals the absolute value of 9, which is 9, because absolute value represents the distance from zero on the number line, and both -9 and 9 are 9 units away from zero, regardless of their direction.

Explanation:

The reason why |-9| = |9| is because the absolute value of a number refers to its distance from zero on the number line. This distance is always a non-negative number since it does not refer to direction, just the magnitude of separation from zero. Therefore, both -9 and 9 are 9 units away from zero, and their absolute values are equal.

In mathematical terms, the absolute value function, denoted by | |, strips away the sign of a number, turning any negative number into its positive counterpart. So, |9| is already positive, and |-9| transforms -9 into 9 because you remove the negative sign, rendering both absolute values equivalent.

Write a linear equation in Slope-Intercept Form for a line that goes through the
points (-4, -1) and (-2,-5). *

Answers

Answer:

-2x-9=y

Step-by-step explanation:

If the difference between the 7th and 9th terms
of an arithmetic sequence is 25. Find the
Common difference.​

Answers

The common difference is [tex]d=-\frac{25}{2}[/tex]

Explanation:

The difference between the 7th and 9th terms  of an arithmetic sequence is 25

Since, we know the general form of an AP is [tex]a_{n}=a_{1}+(n-1) d[/tex]

For [tex]n=7[/tex], we have,

[tex]a_{7}=a_{1}+(7-1) d[/tex]

[tex]a_{7}=a_{1}+6 d[/tex] ---------(1)

For [tex]n=9[/tex], we have,

[tex]a_{9}=a_{1}+(9-1) d[/tex]

[tex]a_{9}=a_{1}+8 d[/tex] ----------(2)

Subtracting (1) and (2), we get,

[tex]a_7-a_9=6d-8d[/tex]

Since, it is given that the difference between 7th and 9th term is 25.

Hence, we have,

[tex]25=-2d[/tex]

Dividing both sides by -2, we have,

[tex]d=-\frac{25}{2}[/tex]

Hence, the common difference is [tex]d=-\frac{25}{2}[/tex]

What is 3/8 rounded to the nearest 100

Answers

Answer: 0.38

Step-by-step explanation:

Divide 3 by 8 = 0.375

To round 0.375 to the nearest hundredth means to round the numbers so there are only two digits in the fractional part. it is pertinent to know that the fractional part is 375, since the value at the end is not less than 5, the number turns 1 and we add it to the number before it.

0.375 to the nearest hundredth is 0.38.

I hope this helps.

Evaluate each expression if x = 5

8x
—-
2

Answers

Answer:

I think you should divide 40 by 2 and get 20

Step-by-step explanation:

The table of values shows the output values of three different equations for the same
input values, 3.
Drag the correct expression to each row to complete each equation.

Answers

Answer:

x+33x^23^x

Step-by-step explanation:

Relationship 1

The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.

__

Relationship 2

The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is (3x^2), which matches the values of y2.

__

Relationship 3

The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3^x), which matches the values of y3.

The relations are:

x+3

3x^2

3^x

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the

Finding the relations:

Relationship 1:

The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.

Relationship 2:

The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is (3x^2), which matches the values of y2.

Relationship 3:

The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3^x), which matches the values of y3.

The relations are:

x+3

3x^2

3^x

Learn more about Equations:

https://brainly.com/question/296895

#SPJ2

Find the circumference of each circle with the given radius or diameter. Round to the nearest tenth. Use 3.14 for T.
d = 14.2 mm

Answers

Answer:

C=44.6mm

Step-by-step explanation:

C=pi times d

C=3.14 times 14.2

Final answer:

The circumference of a circle with a diameter of 14.2 mm is 44.6 mm when rounded to the nearest tenth.

Explanation:

To find the circumference of a circle with a given diameter, you can use the formula C =
(D), where
is approximately equal to 3.14, and D is the diameter. For a circle with a diameter of 14.2 mm, the circumference would be calculated as follows:



C = 3.14 x 14.2 mm



After performing the multiplication:

C = 44.588 mm



When rounded to the nearest tenth, the circumference is:


C = 44.6 mm



Therefore, the circumference of the circle is 44.6 mm.

What is the the equation??

Answers

Answer: A. Explanation: the equation for a slope is y= mx+b, where m is the slope, and b is the y intercept. By putting -1 in the y int, and 4/5 in the slope, you get the same equation as A, so the answer is A.

write an equation that is parallel to the line Y equals 1/2 x -4 and passes through the point 6 / -2

Answers

Answer:

Y equals 1/2 x -4 and passes through the point 6 / -2

Step-by-step explanation:

CAN SOMEONE PLEASE HELP WITH THIS???

Answers

i really don’t know the answer to this but good luck and i’m just writing this to get points

Answer:

B) 384

Step-by-step explanation:

Hello! This is the answer.

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

Lateral Surface Area of a square pyramid (4 isosceles triangles):

For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a and for this calculation our height for the triangle is slant height s.  With 4 sides we need to multiply by 4.

L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)

Squaring the 2 to get it back inside the radical,

L = a√(a2 + 4h2)

Base Surface Area of a square pyramid (square):

B = a2

Total Surface Area of a square pyramid:

A = L + B = a2 + a√(a2 + 4h2))

A = a(a + √(a2 + 4h2))

Therefore your answer is B 384.

Which expressions are equivalent to
-6 +49 + (-69) ?​

Answers

Answer:

-26

Step-by-step explanation:

-6+49+(-69)

43+(-69)

43-69

-26

Other Questions
Let X1,X2......X7 denote a random sample from a population having mean and variance . Consider the following estimators of :1=X1+X2+......+X7 / 72= (2X1-X3+X5) / 2a. Is either estimator unbiased?b. Which estimator is best? In what sense is it best? Calculate the relative efficiency of the 2 estimtors. A constant volume of gas is heated from 25.0C to 150.C. If the initial pressure was 760. torr, what is the final pressure? Which change that occurs during puberty is social?A. having mood swingsB. becoming more independentC. feeling attraction towards othersD. having growth spurts Select the correct answer.Which metabolic disorder affects the pituitary gland in horses?A. OsteoarthritisB. Cushing diseaseC. Pemphigus foliaceusD. Mammary tumors what *kind* of evidence did Hitler offer for his anti-Semitic arguments? A certain amount of heat is added to 1 cup of water and the temperature raises by 5C. How much will the temperature raise if three times the amount of heat is added to the same amount of water? Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan? A. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks. B. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. C. Chuy will save more than he needs and will meet his goal in less than 27 weeks. How long ago did the solar system form?a. 5 million yearsb. 5 billion yearsc. 5 trillion years Name 1 energy transformation system. (example: Flashlight=chemical energy->electrical energy->light energy +thermal energy A project costs $91,000 today and is expected to generate cash flows of $11,000 per year for the next 20years. The firm has a cost of capital of 8 percent. Should this project be accepted, and why?A. Yes, the project should be accepted since it has a NPV = $15,391.23.B. Yes, the project should be accepted since it has a NPV = $13,610.89.C. Yes, the project should be accepted since it has a NPV = $16,999.62.D. None of these answers is correct. how did taxes change over time for citizens who lived in rome? Circle your answer and justify it by showing your work. (a) T F: (b) T F: Let A be any square matrix, then ATA, AAT, and A + AT are all symmetric. If S is invertible, then ST is also invertible. If a row exchange is required to reduce matrix A into upper triangular form U, then (c) T F: A can not be factored as A = LU. (d) T F: Suppose A reduces to upper triangular U but U has a 0 in pivot position, then A has no LDU factorization. (e) T F: If A2 is not invertible, then A is not invertible. 10 10. [10points] (a) T F: All(x,y,z)R3 withx=y+z+1isasubspaceofR3 (b) T F: All(x,y,z)R3 withx+z=0isasubspaceofR3 (c) T F: All 2 2 symmetric matrices is a subspace of M22. (Here M22 is the vector space of all 2 2 matrices.) (d) T F: All polynomials of degree exactly 3 is a subspace of P5. (Here P5 is the vector space of all polynomials a5x5 + a4x4 + a3x3 + a2x2 + a1x + a0 of degree less than or equal to 5.) (e) T F: P3 is a subspace of P5. (Here Pi is the vector space of all polynomials aixi+ai1xi1+ ai2x12 + ... + a2x2 + a1x + a0 of degree less than or equal to i.)a. TrueB. False. Consider the titration of 50.0 mL of 1.00 M C5H5N by 0.500 M HCl. For each volume of HCl added, decide which of the components is a major species after the HCl has reacted completely. Kb for C5H5N Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length. In a batch operating system, three jobs are submitted for execution. Each job involves an I/O activity, CPU time and another I/O activity of the same time span as the first. Job JOB1 requires a total of 23 ms, with 3 ms CPU time; JOB2 requires a total time of 29 ms with 5 ms CPU time; JOB3 requires a total time of 14 ms with 4 ms CPU time. Illustrate their execution and find CPU utilization for uniprogramming and multiprogramming systems. Why was the nation so traumatized by Kennedys assassination?It was sudden and senseless.It was carried out by a Castro sympathizer.It was broadcast live on television. Nicole's parents are often inconsistent in terms of their behaviors and what they say. For example, they often tell Nicole how important it is to be polite, but are not very polite themselves when it comes to letting other people off airplanes or giving up seats in public buses. How would one expect this contradiction to impact Nicole's behavior In order to have reached this conclusion, the Grants must have either assumed or proven that several other facts about the finch population were true. Which statements represent information that must be true in order for the Grants conclusion to be correct A STUDENT can take many COURSES and a COURSE can have more than one STUDENT enrolled in the course. In this case, both the "student_id" and "course_id" primary keys become foreign keys and primary keys in a new entity called COURSE-STUDENT. What is the main reason for creating a new entity? a. To reinforce data accuracy b. To preserve data completeness c. To eliminate possible data redundancy d. To achieve data consistency Find the number of grams 4.00 moles of CU(CN)2