Select the correct answer.
How would you write this expression as a sum or difference?

[tex]log_{3} (^{5\sqrt{x}} X y )[/tex]

Answers

Answer 1

Answer:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Step-by-step explanation:

Given

[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]

Required

Write as sum or difference

Using addition law of logarithm, the equation becomes:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]

Expand

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]

Apply addition law

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]


Related Questions

Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible choice combinations are shown in the tree diagram below.


If Victor chooses these work clothes at random, what is the probability that he will choose tan pants, a white shirt, and a red tie?

1/12

1/4

3/7

4/9​

Answers

Answer:

should be 3/7 I think that's right

Savannah is using unit cubes to determine the volume of her desk drawer. What is true about the volume of Savannah's drawer?

Answers

Answer:

The volume is 60 cubic units

Step-by-step explanation:

It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.

Each of the cube have dimensions of 1 unit by 1 unit by 1 unit

The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.

Thus the volume of her desk drawer is = 4 x 3 x 5

                                                                = 60 cubic units

45
24
K K
AM
51

15
17
15

8
15
O
8
17

Answers

Hope this help!!!

Have a nice day!!!!

Which set of numbers does not contain the value below?


Select one:

a. Complex Numbers
b. Pure Imaginary Numbers.
c. Rational Numbers.
d. Integers.​

Answers

Answer:

b. Pure Imaginary Numbers.

Step-by-step explanation:

[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]

-3 is an integer, a complex number, and a rational number.

Answer: b. Pure Imaginary Numbers.

What is the value of c?
30°
с

Answers

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

The correct answer is 60 degrees

is this a reasonable estimate? Why?

Answers

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

How many minutes will it take to bake 24 tortillas

Answers

Answer:

72 mins

Step-by-step explanation:

12 mins = 4 tortillas

1 tortilla = 3 mins

3x24=72

72 mins

Answer:

72 minutes

1 hour and 12 minutes

Step-by-step explanation:

[tex]\frac{4}{12}: \frac{24}{y}[/tex]

4 × y = 12 × 24

4y = 288

4y ÷ 4 = 288 ÷ 4

y = 72

Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 23.4 ft^3

Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.

Answer:

v ≈ 34.95ft^3

Step-by-step explanation:

h = 9.8ft

A^B = 10.7ft

V=A^B

h/3 = 10.7 • 9.8/3

≈34.95333ft^3

≈34.95ft^3

Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).

Answers

Answer:

[tex]S' = (-5,-5)[/tex]

[tex]Q"=(-5,-5)[/tex]

Step-by-step explanation:

Given

[tex]S = (5,-5)[/tex]

[tex]Q= (5,5)[/tex]

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]S(5,-5) \to S'(-5,-5)[/tex]

Hence:

[tex]S' = (-5,-5)[/tex]

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

[tex](x,y) \to (x,-y)[/tex]

So:

[tex]Q(5,5) \to Q'(5,-5)[/tex]

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]

Hence:

[tex]Q"=(-5,-5)[/tex]

i dont get it either

Step-by-step explanation:

A company sold 3,000 computers in one month, but 12 were returned. If 3,500 were sold the next month, the company would expect 14 to be returned.

What is a valid proportion to represent the problem?​

Answers

Answer:

the last one is correct

Step-by-step explanation:

because 3000/12 = 250 and 3500/14 = 250 so they are porportional.

what is the answer for 10(x-7)=y

Answers

x intercepts- (7,0)
y intercepts- (0,-70)

please help me answer this!!

Answers

Answer:

(x, y) = (10, 290)

Step-by-step explanation:

From the table

Total fees = fixed + variable

Fixed:

When number of times Ahmed mowed, x = 0

y = 40

When x = 2, y = 65

Rate of change = y2 - y1

= 65 - 40

= 25

y = 40 + 25x

Where,

y = total fees charged

40 = fixed fee

25x = variable fee

Total amount Ahmed will make for mowing 10 times

when x = 10

y = 40 + 25x

y = 40 + 25(10)

= 40 + 250

= 290

y = 290

(x, y) = (10, 290)

lol it looks easy but everytime i submit my answer it ends up wrong sooo help pls

Answers

Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

y^2+10y+16
y^2+8y+2y+16
y(y+8)+2(y+8)
(y+8)(y+2)

4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*​

Answers

Answer:

x>6

Step-by-step explanation:

I know I’m not good at writing.

The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.



Which of the following statements can you determine from the graph? Select all that apply.

Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall.
The median height of the students in Mrs. Hill's class is 152 centimeters.
The interquartile range of this data set is 15 centimeters.
The mean height of the students in Mrs. Hill's class is 152.5 centimeters.

Answers

Answer:

152 and 9

Step-by-step explanation:

1.
Line RK
Line TY
Line RU
Line PQ

2. Pick three
- X
- T
- Q
- U
- Y

3. Pick three
- X
- s
- P
- R
- U
- T

4.
Plane QRP
Plane XUY
Plane s
Plane TRY

5. Show work if possible pls
(1/2, 4)
(4, 1/2)
(8, 1)
(1, 8)

6. Round to one decimal point

7-11. Show work if possible plz!

Answers

Answer:

the answer is plane try I'm pretty sure it's that.

Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!

Answers

Answer:

[tex] \frac{15 \sqrt{209} }{209} [/tex]

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

[tex] \csc(a) = \frac{60}{16} [/tex]

Apply reciprocal identity csc a = 1/sin a.

[tex] \sin(a) = \frac{16}{60} [/tex]

Apply pythagorean identity to find cos a.

[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]

[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]

[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]

We can simplify both expression

[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]

[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]

Rationalize the denominator.

[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]

Find the 25th term of the sequence -7,-22,-37.

Answers

Answer:

a₂₅ = - 367

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 22 - (- 7) = - 37 - (- 22) = - 15

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7 and d = - 15 , then

a₂₅ = - 7 + (24 × - 15) = - 7 - 360 = - 367

True or False: in a table of a proportional relationship, the ratio or y/x is constant.

Answers

Answer:

true

Step-by-step explanation:

It is True that in a table of a proportional relationship, the ratio or y/x is constant.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, y∝x

In order to eradicate the proportional sign introduces the constant as,

y=kx

k=y/x

k is the constant value.

Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

WORTH 25 POINTS!!!!
match the following

Answers

Answer:

Step-by-step explanation:

Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.

1). The range and domain of P = {(x, y)| y = 3}

Domain: Set of all real numbers

Range: {y: y=3}

2). The domain set of C = {(2, 5), (2, 6), (2, 7)}

 Domain: {2}

3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}

  Range: {3, 4, 5, 6}

4). The range and domain set of F = {(x, y)| x + y = 10}

   Domain = Range = {All real numbers}

please help me oh my lord

Answers

Answer:

A

Step-by-step explanation:

C my father owns cloud9 so I know I’m right

The sales tax in a city in Chicago was 5.5%. Ms.M spent $60 on presents for
family members. What was Ms.M's total including sales tax?

Answers

Answer:

$63.30

Step-by-step explanation:

Assuming the $60 is excluding taxes:

60 * 1.055 = $63.30

28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..

Answers

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

8 × 4 ÷ 3 + 5 2 - 8 Can Someone Answer This Algebra Question

Answers

Answer:

164/3

Step-by-step explanation:

164/3 just divide the fraction for your answer.

Solve for X

PLEASEEEEE HELPPPP

Answers

Answer:

ok from this we know the angle of this triange are

90+47+x=180

x=43

with these if we use the proper formula we know that the two other sides are

about 21 and 23

since the top side is longer we know that X=23

What is the value of X in the figure below? In this diagram ∆ABD is similar to ∆CAD.

Answers

Answer:

F. 45/4

Step-by-step explanation:

Corresponding sides have same ratio:

AB/AC = BD/AD

Find AB:

AB = [tex]\sqrt{20^2-15^2} = 5\sqrt{7}[/tex]

Find AD:

AD = √15²-x²

Now the ratio:

5√7/15 = (20 - x)/√(15²-x²)√7 *√(225-x²)= 3(20 - x)7(225 - x²) = 9(20 -x)²7*225 - 7x² = 9(400 - 40x + x²)1575 - 7x² = 3600 - 360x + 9x²16x² - 360x + 2025 = 0(4x)² - 2*4x*45 + 45² = 0(4x - 45)² = 04x - 45 = 04x = 45x = 45/4

Correct choice is F

Sara sees some notebooks she likes in a shop. They cost 35p each. This is the money she has. Look in the image

a. How many notebooks can Amy buy? _________

b. How much money will she have left? __________

NEED ANS ASAP giving u 50points

Answers

Answer:

Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1

Step-by-step explanation:

93.1-35-35=23.1

The sum of two numbers is 106. The bigger number is 22 more than the smaller number. Then what is half of the smaller number?
(1 Point)

a) 84

b) 21

c) 42

d) 32
7Rakesh's mother's age is three times the present age of Rakesh. After 5 years their ages when added together, will become 66 years. The equation that represents the above is as follows;
(1 Point)

a) x + 3x = 66

b) x + 3x + 5 = 66

c) 4x + 15 = 66

d) 4x + 10 = 66
8Equation 1 is : 2 x - 3 = - 9 and Equation 2 is : x - 7 = 2. The first equation has solution (x = - 3), and the second equation has solution (x = 9) and both these answers are correct for the respective equations. Choose the correct statement from below.
(1 Point)

a) Since the first equation has a negative solution, the second equation only is a Linear equation, as it has a positive solution

b) Both equations have solutions which are rational numbers

c) The first equation is called a Negative Linear Equation as it has a negative solution

d) None of the statements a, b or c are True
9Please see the Figure A, and choose the correct
statement that matches the figure from the
options given below.
(1 Point)

a) The above figure is a Polygon with 5 sides

b) The above figure is a Concave Polygon

c) The above figure is not a Polygon

d) The above figure is a Regular Pentagon
10The sum of measures of the exterior angles of any polygon is …
(1 Point)

a) 180 degrees

b) 360 degrees

c) ( n – 2 ) x 180 degrees

d) ( n – 2 ) x 360 degrees
11In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
(1 Point)

a) Is a Square

b) Is a Rhombus

c) Could be a Square, or could be a Rhombus, we need to know more about the length of the diagonals

d) None of the above statements is correct
12A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
(1 Point)

a) That the diagonals remain equal

b) That the diagonals continue to bisect the angles at the vertices equally

c) The lengths of the diagonals change

d) The diagonals are now bisecting each other in 4 equal parts
13Which statement is True for the following two Figures A and B, given below
(1 Point)


a) Figure A is a Rhombus and Figure B is a Kite

b) Figure A and B are both Rhombus

c) Figure A and B are both Kites

d) Figure A is a Kite and Figure B is a Rhombus
14Which statement out of the four options below, is True?
(1 Point)

a) All Rectangles are Squares

b) All Rhombuses are Parallelograms

c) All Squares are Concave Polygons

d) All Convex Polygons have diagonals outside them
15
(1 Point)




16If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
(1 Point)

a) 156

b) 15600

c) 15.6

d) 1.56
1712.00001 ÷ 0.600001 is closest to ……..
(1 Point)

a) 0.02

b) 2

c) 20

d) 200
18Complete:
(1 Point)




19The equation : 12 x + 16 = 20 is the same as ……
(1 Point)

a) 12 x + 8 = 12

b) 12 x = 20 + 16

c) 12 x – 16 = 20 – 16

d) 12 x – 20 = 16
2020. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
(1 Point)




21Which number will give us a quotient of - 4, if we divide - 24 by ……..
(1 Point)

a) 4

b) - 6

c) - 4

d) 6
22If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
(1 Point)

a) – 3

b) 3

c) – 6

d) 6
23The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10

Now choose the best solution from the below options.
(1 Point)

a) Only Rohit got the correct answer

b) Both Rohit and Mohit got the correct answer

c) Rohit, Mohit and Rakesh all got the correct answer

d) Rohit, Mohit and Allen all got the correct answer
24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
(1 Point)

a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circle

b) Binu has walked more than Abhay, as he has walked more circles than Abhay

c) Both of them have covered the same distance

d) With the information given above, we cannot say who walked more
25Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
(1 Point)

a) +

b) –

c) x

d) ÷

Answers

Step-by-step explanation:

on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think

To solve the above, the solutions are given below.

1. b) 21

7. b) x + 3x + 5 = 66

8. b) Both equations have solutions which are rational numbers

9. a) The above figure is a Polygon with 5 sides

10. b) 360 degrees

11. In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …

a) Is a Square

12. A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..

b) That the diagonals continue to bisect the angles at the vertices equally

13. Which statement is True for the following two Figures A and B, given below

b) Figure A and B are both Rhombus

14Which statement out of the four options below, is True?

b) All Rhombuses are Parallelograms

16. If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?

b) 15600

17. 12.00001 ÷ 0.600001 is closest to ……..

c) 20

19. The equation : 12 x + 16 = 20 is the same as ……

a) 12 x + 8 = 12

20. Find the value of a quarter of the angle QRT

which is ‘x’ if angle PRS is 2x as shown in the

figure below. Consider Triangle PRQ and Triangle

RST to be equilateral triangles of different sizes.

80°

21. Which number will give us a quotient of - 4, if we divide - 24 by ……..

d) 6

22. If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….

b) 3

23. The teacher asked the class to divide a given number by 24

- Rohit divided the number by 24 and got the correct answer 20

- Mohit divided the number by 6 and got an answer which he again divided by 4 and

obtained the final answer

- Rakesh divided the number by 2.4 and then divided the answer again by 10

- Allen divided the number by 2.4 and then multiplied the answer obtained by 10

Now choose the best solution from the below options.

a) Only Rohit got the correct answer

24. Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................

c) Both of them have covered the same distance

25. Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number

c) x

Therefore, the answers are as given above.

learn more about factorization from here: https://brainly.com/question/25829061

Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm and the base one is 40cm and the base two is 35 cm. Ahmed is finding the area of the building model. What is its area?
PLSSS HELPP

Answers

Answer:

Area = 1500 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area= height ×(Base 1 +base 2)

Area = 20 × (40+35)

Area = 20×75

Area = 1500 [tex]cm^{2}[/tex]

Math question. Genius, please answer correctly.

Answers

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

Other Questions
50 POINTSFind the approximate values of the five-number summary for the data set represented by this box plot. The rate to rent a small moving van is $30 per day, plus $2 per mile. Jada rented a van to drive to her new home. It tooktwo days, and the total cost was $360. How many miles did she drive? Where should there be a paragraph break in the following text? Billy felt good about his speech. He thought he made the points he wanted to make clearly and that he had made a connection with the crowd. He sat in his seat feeling satisfied. (1.) Mandy would have to do something crazy to win this debate. (2.) Mandy approached the podium, feeling smug. She knew she had one last trick up her sleeve. (3.) She casually smoothed out her dress and shot Billy a devious smile. She cleared her throat and said, (4.) I accept Billys offer to be his running mate, and the crowd cheered. point e is the midpoint of ca and bd. which statements about the diagram are true? HOW DOES THE PROCESS OF TRANSLATION CONVERT INFORMATION While editing sentences for grammar errors, a good strategy would beA. To make and follow a checklist of common errors.B. To consider who will read or listen to the paragraph.C. To make sure that all commas, periods, and semicolons are correct.D. To replace some elses ideas with original ideas. 2. Who were the four major Allied countries? All living organisms carry out certain activities which make them different from inanimate objects. Which one of the following lists shows three activities of all living organisms? Movement, decay, synthesis Respiration, nutrition, preservation Exercise, irritability, metabolism Reproduction, excretion, growth Social scientists discovered that 1,013 General Social Survey (GSS) respondents in 2010 watched television for an average of 3.01 hours per day, with a standard deviation of 2.65 hours per day. Answer the following questions, assuming the distribution of the number of television hours is normal.Required:a. What is the Z score for a person who watches more than 8 hr/day? b. What proportion of people watch television less than 5 hr/day? How many does this correspond to in the sample?c. What number of television hours per day corresponds to a Z score of +1?d. What is the percentage of people who watch between 1 and 6 hr television per day? Jerome has a tow truck, and he is in charge of moving several vehicles for the city. He wants to explain to his niece how towing vehicles relates to Newton's second law. Which statement should he use? [tex] \frac{12}{20} - \frac{30}{20} [/tex] ZABC and ZQRS are complementary angles. If the measure of ZABC= 41, what is the measure of ZQRS? Give the change in conditions required to go from a gas to a solid. Give the change in conditions required to go from a gas to a solid. Decrease temperature or reduce pressure. Increase temperature or reduce pressure. Increase temperature or increase pressure. Decrease temperature or increase pressure. None of the above. hy phn tch din din bin tm trng ca b hng khi trong lng me what is 20/100 in it's simplest form? ik this i just wanna give someone my points lol PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASEUse the drawing tool(s) to form the correct answer on the provided graph.Plot the axis of symmetry and the vertex for this function:h(x) = (x - 5)2 - 7. At the Santa Barbara fishing hole, people come from all around to catch fish to sell at the fish market.The total number of fish caught is F= 10xx2 where x is the number of fishermen. Suppose it costs each person $20 a day to fish and that fish sell for $10 each at the market. At the social optimum,how much would it hurt all the other fishermen (combined) if one more person started fishing?(a) $30 (b) $20 (c) $10 (d) $40 The value of x for which the expressions 5(3x-4) equal to 2(2x+1) A 2 kg object traveling at 5 m s on a frictionless horizontal surface collides head-on with and sticks to a 3 kg object initially at rest. Which of the following correctly identifies the change in total kinetic energy and the resulting speed of the objects after the collision? Kinetic Energy Speed (A) Increases 2 m/s 3.2 m/s (B) Increases Soold 2 m/s (C) Decreases 3.2 m/s (D) Decreases What is the mass of 6 atom(s) of copper in grams?