Angie and kenny play online video games. Angie biys 1 software package and 4 months of game play. Kenny buys 1 software package and 1 month of game play. Each software costs $35. If their total cost is $130 what is thr cost of one month of game play

Answers

Answer 1

Answer:

1 month of game play will cost $12

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of one month of game play.

From the question, we know the following;

Angie bought 1 software package and 4 months of game play

while

Kenny bought 1 software package and 1 month of game play.

The total packages and months bought will be;

2 packages and 5 months of game play

From the question, we are told that 1 month of game play is $35, so 2 months of game play will be 2 * $35 = $70

So the amount remaining for the 5 months will be; $130 - $70 = $60

So if 5 months cost $60, it means one month will be $60/5 = $12


Related Questions

The 3rd and the 6th terms of an Arithmetic Progresion (A.P) are 16 and 34 respectively. Find the sum of the first 6 terms

Answers

Answer:

a(first term)=4

d(common difference)=6

sum of first 6 terms=114

The sum of the first 6 terms is given by 114

What is an Arithmetic progression?

An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…

Given here The 3rd and the 6th terms of an Arithmetic Progression (A.P) are 16 and 34 respectively. Here on increase in 3 terms the value changes by  34-16=18 Thus if we move by +1 term the common difference must be 18/3=6 and thus the common difference is equal to 3.

∴ The Arithmetic progression is given by:

4,10,16,22,28,34 . . . .

∴ The sum of the first 6 terms is 4+10+16+22+28+34=114

Hence, The sum of the first 6 terms is given by 114

Learn more about an Arithmetic progression here:

https://brainly.com/question/1610404

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En un entrenamiento, Mariana metió 12 de los 15 tiros al arco que pateo. Carla tuvo una efectividad del 75%. Cual de las dos chicas tuvo un mejor desempeño al pasear al arco?

Answers

Answer:

Mariana has better performance.

Step-by-step explanation:

We are given that in a training session, Mariana made 12 of the 15 shots on goal that she kicked and Carla had an effectiveness of 75%.

And we have to find which girl's performance is better.

Since it is stated that Carla had an effectiveness of 75%.

Similarly, we will find the effectiveness of Mariana;

Total shots available to Mariana = 15 shots

Number of shots on goal = 12

So, her effectiveness =  [tex]\frac{12}{15} \times 100[/tex]

                                    =  [tex]4 \times 20[/tex] = 80%

This shows that Mariana has a better performance as compared to Carla as 80% > 75%.

Solve c= 8a-3b for a

Answers

Answer:

(c+3b)/8 = a

Step-by-step explanation:

c= 8a-3b

Add 3b to each side

c+3b= 8a-3b+3b

c+3b = 8a

Divide each side by 8

(c+3b)/8 = 8a/8

(c+3b)/8 = a

( 60 POINTS FOR EVERYTHING )
Need some help on this INTEGERS Worksheet.
Not too difficult, but I don't have much time left.
( Use in this format v )

1.) ??
2.) ??
3.) ??
etc..

Answers

Answer:

11) -11

12) -12

13) 7

14) -60

15) -56

16) -378

17) -126

18) -4

19) -3

20) -12

Answer:

see below

Step-by-step explanation:

1.  75

2.  -14

3.  91

4.  67

5.  24

6.  112

7.  91

8.  44

9.  15

10.  -11

11.  -11

12.  -12

13.  7

14.  -60

15.  -56

16.  -378

17.  -126

18.  -4

19.  -3

20.  -12

The amount of money, in dollars, John earns for each shift he works at the bookstore is equal to the function ƒ(h) = 10h, where h is the number of hours he works during his shift. Enter the value for ƒ(h), the amount of money he earns for his shift, and the value for h, the number of hours he works during his shift, for each notation in order to complete the table and show the relationship between ƒ(h) and h.

Answers

Answer:

Step-by-step explanation:

Amount of money earned by John for each shift he works at the bookstore is represented by the function,

f(h) = 10h

Where f(h) = Amount of money earned in dollars

h = number of hours worked by John

1). For h = 1 hour

   f(1) = 10 × 1

        = $10

2). For h = 2.5 hours

   f(4.5) = 10 × 4.5

            = $45

3). For h = 10 hours

   f(10) = 10 × 10

           = $100

. Dillion deposits $150 into his account. One week later, he withdraws $26. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?

Answers

Answer:

[tex]Expression = x + 150 +(- 26)[/tex]

$124 higher

Step-by-step explanation:

Given

[tex]Deposit = \$150[/tex]

[tex]Withdrawal = \$26[/tex]

Required

Represent the situation

Determine how much higher or lower is the remaining amount

Let the initial amount in his account be represented with x

When he deposited, the balance becomes

[tex]Balance = x + 150[/tex]

When he withdrew, the balance becomes

[tex]Balance = x + 150 + (-26)[/tex]

Hence, the algebraic expression is

[tex]Expression = x + 150 +(- 26)[/tex]

Calculating how much higher or lower

[tex]Balance = x + 150 + (-26)[/tex]

Open bracket

[tex]Balance = x + 150 -26[/tex]

[tex]Balance = x + 124[/tex]

Recall that the initial amount in the account is x

The difference between the balance and the x is as follows

[tex]Difference = x + 124 - x[/tex]

[tex]Difference = \$124[/tex]

Hence, the account has a higher of $124 after both transactions

Can someone tell me how to do this -3(6+h)

Answers

Answer:

[tex]-18-3h[/tex]

Step-by-step explanation:

[tex]-3(6+h)\\\\\text{Distribute:} \left \{ {{-3*6=-18} \atop {-3*h=-3h}} \right.\\\\\boxed{-18-3h}[/tex]

The answer can also be expressed as: [tex]-3h+18[/tex]

Hope this helps.

What is X plus seventeen equals three

Answers

Answer: -14

Step-by-step explanation: 3-17= -14

17+(-14)=3

The middle note C has a frequency of 262 hertz and can be modeled using a sine function with an amplitude of 1.5, where x is time in seconds. Which function represents the vibrations of this note?

Answers

Answer:  f(x) = 1.5*sin(x*2*pi/0.0038s)

Step-by-step explanation:

A sine function is:

f(x) = A*sin(c*x + f)

Where A is the amplitude, we know that it is 1.5

c is a constant that depends on the frequency.

f is a phase.

As there is no mention of a phase, we can assume f = 0.

Then our function is:

f(x) = 1.5*sin(c*x)

now let's find the value of c.

We know that the frequency is 262hz.

Then the period can be calculated with the equation:

T = 1/f.

T = 1/262 Hz = 0.0038 seconds.

Now, the period of a sin function is 2*pi.

whit pi = 3.14159265358979.....

Then we have that:

sin(0) = sin(c*0.0038s)

sin(0) = sin(2*pi)

then:

c*0.0038s = 2*pi

c = 2*pi/0.0038s

Then the function is:

f(x) = 1.5*sin(x* 2*pi/0.0038s)

According to the information given, the sine function is:

[tex]y = 1.5\sin{(524\pi x)}[/tex]

The standard sine function is given by:

[tex]y = A\sin{(2\pi fx)}[/tex]

In which:

A is the amplitude.f is the frequency, in Hz.

In this problem:

Amplitude of 1.5, hence [tex]A = 1.5[/tex]Frequency of 262 Hz, hence [tex]f = 262[/tex]

Then, the equation is:

[tex]y = A\sin{(2\pi fx)}[/tex]

[tex]y = 1.5\sin{(2\pi (262)x)}[/tex]

[tex]y = 1.5\sin{(524\pi x)}[/tex]

A similar problem, which also involves building a sine function according to the desired characteristics, is given at https://brainly.com/question/18055768

What is the y-intercept of a line with a slope of 2/3 that passes through (-5,1)?

Answers

Answer:

(0,13/3)

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

We know the slope is 2/3 and a point on the line is (-5,1)

y = 2/3x +b

Substitute the point into the equation

1 = 2/3 (-5) +b

1 = -10/3 +b

3/3 = -10/3 +b

Add 10/3 to each side

10/3 = b

The equation is

y = 2/3 x+13/3

The y intercept is

(0,13/3)

Answer:

[tex](0,13/3)[/tex]

Step-by-step explanation:

Since we know the slope and a point, we can use the point-slope form.

Recall that the point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let m be 2/3 and let (-5,1) be x₁ and y₁. Therefore:

[tex]y-(1)=\frac{2}{3}(x-(-5))[/tex]

Simplify:

[tex]y-(1)=\frac{2}{3}(x+5)[/tex]

Distribute:

[tex]y-1=\frac{2}{3} x+\frac{10}{3}[/tex]

Add 1 to both sides. The left cancels. 1 is the same as 3/3:

[tex]y=\frac{2}{3} x+\frac{10}{3}+\frac{3}{3}\\[/tex]

Simplify:

[tex]y=\frac{2}{3}x+\frac{13}{3}[/tex]

This is in slope-intercept form. The coefficient is the slope and the y-intercept is the constant. Thus, the y-intercept is 13/3.

13=-4k+9 someone solve pls

Answers

The answer is -1
Your welcome :)

Answer:

k = - 1

Step-by-step explanation:

13 = -4k + 9

-4k + 9 = 13

subtract 9 from both sides

-4k + 9 - 9 = 13 - 9

simplify

-4k = 4

k = 4 / -4

k = - 1

PLEASE HELP MEE
These four cubes were placed in a bag. What
is the probability that the dark one would
be pulled out of the bag first?

Answers

Answer:

1/4

Step-by-step explanation:

You have to look at the total number of items there are in the problem, since there are 4 cubes in total and there is only 1 dark cube and three white, there will be a quarter of the chance to pull it out, compared to 3/4 of a chance to pull a white one out.

25% chance because there is one dark one out of four

A circular room has a floor of diameter 590cm. Estimate the 92.2 perimeter of the room in metres​

Answers

Answer:

  18.5 m

Step-by-step explanation:

The diameter in meters is 5.90, so the circumference of the room is ...

  C = πd = 5.90π m ≈ 18.5 m

The perimeter of the room is about 18.5 m.

.¿Cuál de las siguientes alternativas no corresponde a una transformación isométrica? A)Traslación B) Simetría C) Rotación D) Isometría C) Teselación

Answers

Answer:

D) Isometría

Step-by-step explanation:

Hola, D es la respuesta correcta porque la isometría no es una transformación isométrica, veamos por qué.

Una Transformación Isométrica es el cambio de forma, pero no por tamaño ni forma de la figura.

A. La traslación es una transformación isométrica porque desliza la figura a otro lugar, sin afectar su forma o tamaño.

B. La simetría es una transformación isométrica porque técnicamente es un reflejo, una vez más no afecta el tamaño o la forma de la figura.

C. La rotación es una transformación isométrica porque gira la figura, sin afectar el tamaño o la forma de la figura.

E. La teselación es una transformación isométrica porque une la misma forma, sin afectar el tamaño o la forma de la figura.

Dejándonos con D.

i need some help lol u get 100 for answering

Answers

Answer:

see below

Step-by-step explanation:

-6.75  is a rational real number

   since it is not a whole number or a counting number

sqrt(175) = 5 sqrt(7) = irrational real number

     since sqrt(7) is irrational

5 pi = irrational real number

      since pi is irrational

30/3 = 10 = natural , whole, integer, rational, real number

since this is a counting number

- sqrt(9) = -3  integer, rational, real number

since this is negative

Answer:

see attached

Step-by-step explanation:

 

15)
What is the result of adding 17 to its opposite?
A)
-34
B)
0
C)
17
D)
34

Answers

B)
0
Positive 17 Plus Negative 17=0

Answer:

The Answer B.

If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Please show all work and not just the answers.

Answers

Answer:

49, 49 , 98

Step-by-step explanation:

AC = AB + BC = 2AB

3x - 31 = 2(x+6)3x - 31 = 2x + 123x - 2x = 12 +31x = 43

AB= BC = x + 6 = 43 + 6 = 49

AC = 2AB = 2* 49 = 98

Can somebody solve this?

9-3 divided by 1/3 +1

Answers

Answer:

Hey there!

GIVE THE OTHER PERSON BRAINLIEST, NOT ME.

Dividing by 1/3 is multiplying by 3.

9-3=6

6 times 3 = 18

18+1=19

Hope this helps :)

Choose all the sets containing the number pie

Answers

Answer:

The set of Real Numbers.

The set of Irrational Numbers.

The set of transcendental numbers.

Step-by-step explanation:

1. How many types of terms are there? ​

Answers

Answer:

The are two types of terms.

One is Express terms: these are laid down by the parties themselves.

The second is Implied terms: these are read into the contract by the court on the basis of the nature of the agreement and the parties' apparent intentions, or on the basis of law on certain types of contract.

Hope this helps!

Please ASAP Simplify: 8[20-( [9-5)]^2] * ​

Answers

Answer:

32

Step-by-step explanation:

hope you have an amazing day, friend!

Answer:

[tex]\Huge \boxed{32}[/tex]

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

Step-by-step explanation:

[tex]8[20-( [9-5)]^2][/tex]

Evaluating according to PEMDAS:

[tex]\Rightarrow \ \ 8[20-( 4)^2][/tex]

[tex]\Rightarrow \ \ 8[20-16][/tex]

[tex]\Rightarrow \ \ 8[4][/tex]

[tex]\Rightarrow \ \ 32[/tex]

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

A student who is interested in architecture and construction is taking a personal assessment. Which portions of a personal assessment could belong to this student? Select all that could apply. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, read and follow blueprints and or instructions; 2, picture in my mind what a finished product looks like; 3, work with my hands; 4, perform work that requires precise results; 5, solve technical problem; 6, visit and learn from beautiful, historic, or interesting buildings; 7, follow logical, step-by-step procedures. Column 2 is labeled Personal qualities that describe me with entries 1, curious, 2, good at following directions, 3, pay attention to detail, 4, good at visualizing possibilities, 5, patient and persistent. Column 3 is labeled School subjects that I like with entries 1, Math; 2, Drafting; 3,Physical sciences; 4, Construction trades; 5, Electric trades, Heating, Air conditioning, Refrigeration, and Technology Education. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, interpret formulas; 2, find answers to questions; 3, work in a laboratory; 4, figure out how things work and investigate new things; 5, explore new technology; 6, experiment to find the best way to do something; 7, pay attention to details and help things precise. Column 2 is labeled Personal qualities that describe me with entries 1, detail oriented; 2, inquisitive; 3, objective; 4, methodical; 5, mechanically inclined. Column 3 is labeled School subjects that I like with entries 1, Math; 2, Science; 3, Drafting, Computer aided drafting; 4, Electronics, Computer Networking; 5, Technical classes, Technology Education. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, work with my hands and learn that way; 2, do routine, organized, and accurate work; 3, perform activities that produce tangible results; 4, apply math to work out solutions; 5, use hand and power tools and operate equipment and machinery; 6, visualize objects in three dimensions from flat drawings. Column 2 is labeled Personal qualities that describe me with entries 1, practical; 2, observant; 3, physically active; 4, step-by-step thinker; 5, coordinated. Column 3 is labeled School subjects that I like with entries 1, Math and Geometry; 2, Chemistry; 3, Trade and Industry courses; 4, Physics; 5, Language Arts. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, work with computers; 2, reason clearly and logically to solve complex problems; 3, use machines, techniques, and processes; 4, read technical materials, and diagrams, and solve technical problems; 5, adapt to change; 6, play video games and figure out how they work; 7, concentrate for long periods without being distracted. Column 2 is labeled Personal qualities that describe me with entries 1, logical and analytical thinker; 2, see details in the big picture; 3, persistent; 4, good concentration skills; 5, precise and accurate. Column 3 is labeled School subjects that I like with entries 1, Math; 2, Science; 3, Computer tech and Applications; 4, Communications; 5, Graphic design. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, be involved in politics; 2, negotiate, defend, and debate ideas and topics; 3, plan activities and work cooperatively with others; 4, work with details; 5, perform a variety of duties that may change often; 6, analyze information and interpret it to other. Column 2 is labeled Personal qualities that describe me with entries 1, good communicator, competitive, service-minded, well organized, problem solver. Column 3 is labeled School subjects that I like with entries 1, Government; 2, Language Arts; 3, History; 4, Math; 5, Foreign Language.

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

took the quiz!!

Select all the lines below that are an asymptote to the rational function of f(x)= 2x+1/x-9. Picture attached, 15 points and I'll give Brainliest! Due in two hours.

Answers

Answer:

Solution : Option A and Option C

Step-by-step explanation:

To determine our vertical asymptote here we can make the denominator of the rational function equivalent to zero ...

x - 9 = 0,

x = 9 - this is our vertical asymptote

Now there are three rules that we need to apply when determining the horizontal asymptote. To do so we take the degree of each " x " term and compare the numerator and denominator degree.

If the numerator (degree) < denominator (degree), we take the degree of the numerator as the asymptote --- (1). If the numerator (degree) = denominator (degree) we take the coefficient of the x terms, and divide --- (2). If the numerator (degree) > denominator (degree) their will be no asymptote.

In this case our degree for the numerator is 1, (x¹) and our degree for the denominator is the same, 1 (x¹). Therefore we divide the coefficients, 2 / 1 = 2. Our horizontal asymptote is y = 2.

Which of the following could be a rational number?

Group of answer choices

the sum of two irrational numbers

the sum of a rational number and an irrational number

the product of a rational number and an irrational number

the product of two irrational numbers

Answers

Answer:

the sum of two irrational numbers

Step-by-step explanation:

A group of friends were working on a student film that had a budget of $1500. They used $1200 of their budget on costumes. What percentage of their total budget did they spend on costumes?

Answers

Answer:

80%

Step-by-step explanation:

1200/1500

12/15 = 0.8

80%

Use the order of operations to evaluate each expression.
5) 3+ (4)(5) +6+3

Answers

Answer:

44

Step-by-step explanation:

It’s 32 b/c you are using PEMDAS so multiplication comes first before addition

Aunt Barb's Salad Dressing requires 1/3 cup olive oil and 1/6 cup balsamic vinegar. How much dressing does this recipe make?

Answers

Answer:

1/2 cup of dressing

Step-by-step explanation:

To find the total amount of dressing, we just need to add up the amounts of olive oil and balsamic vinegar.

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 cup

Answer:

1/2 cup

Step-by-step explanation:

Simplify the following:

1/3 + 1/6

Hint: | Put the fractions in 1/3 + 1/6 over a common denominator.

Put 1/3 + 1/6 over the common denominator 6. 1/3 + 1/6 = 2/6 + 1/6:

2/6 + 1/6

Hint: | Add the fractions over a common denominator to a single fraction.

2/6 + 1/6 = (2 + 1)/6:

(2 + 1)/6

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

3/6

Hint: | Reduce 3/6 to lowest terms. Start by finding the GCD of 3 and 6.

The gcd of 3 and 6 is 3, so 3/6 = (3×1)/(3×2) = 3/3×1/2 = 1/2:

Answer: 1/2

One country has 12 stone bridges and 20 steel bridges. What is the ratio of ? A. Stone bridges to steel bridges. B. Steel bridges to stone bridges. C total bridges to steel bridges.

Answers

Answer:

A. Stone bridges to steel bridges=

12 : 20

6 : 10

3 : 5

answer = 3 : 5

B. Steel bridges to Stone bridges

20 : 12

10 : 6

5 : 3

answer = 5 : 3

Total bridges = 20+12=32

C. Total bridges to steel bridges

32 : 20

16 : 10

8 : 5

answer = 8 : 5

Answer:

A (Stone to Steel bridges)= 3:5

B (Steel to Stone bridges)= 5:3

C (Total bridges to steel bridges)= 8:5

Step-by-step explanation:

A: Stone to steel bridges is

12:20

You can simplify that by dividing by 4 on both numbers:

3:5

So the ratio of stone to steel bridges is 3:5

B: Steel to stone bridges is

20:12

You can simplify that by dividing by 4 on both numbers:

5:3

So the ratio of stone to steel bridges is 5:3

C: Total bridges to steel bridges is

What is the total number of bridges?

20+12=32

32:20

You can simplify that by dividing 4 on both numbers:

8:5

So the ratio of the total number of bridges to steel bridges is 8:5

Hope this helps!

The diagram represents two statements: p and q.
Which represents region B?
BE
Opva
Op + 9
Оq Ap
A
B
9 - P

Answers

Answer:

the third one

Step-by-step explanation:

B = p ∩ q

B is the common part of p and q

The p v q represents region B.

Option A is the correct answer.

What is a Venn diagram?

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

From the Venn diagram,

We see that,

Region B is the intersection between regions p and q.

Now,

The intersection s denoted by V.

So,

B = p V q

Thus,

The p v q represents region B.

Learn more about the Venn diagram here:

https://brainly.com/question/1605100

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Select all sets in which the number is an element. A. natural numbers B. real numbers C. whole numbers D. rational numbers E. irrational numbers F. integers

Answers

Answer:

a,c,d

Step-by-step explanation:

yea

The set of a number is the list of possible values the number can take. The set of -4 are:

B. real numbers  D. rational numbers F. integers

The number is given as -4

Analyze each option as follows

A. Natural numbers are whole numbers greater than 0.  

-4 is less than 0; this means -4 is not a natural number

B. Real numbers is the totality of all numbers.

This means that -4 is a real number

C. Whole numbers are non-negative numbers without decimal point.

-4 is negative; this means -4 is not a whole number

D. Rational numbers are numbers that can be expressed as a fraction

-4 can be expressed as a fraction. e.g. [tex]-\frac{8}{2} = -4[/tex]

This means that -4 is a rational number

E. If a number is rational, then the number cannot be irrational. This means that -4 is not irrational.

F. Integers are numbers without decimal point.

-4 has no decimal point. This means that -4 is an integer.

Hence, the following options are true.

B. real numbers  D. rational numbers  and F. integers

Learn more about numbers at:

https://brainly.com/question/18114925

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A sentence using the term pseudoscience The price that the writer of a call option receives for the underlying asset if the buyer executes her option is called the Convert the following:15 s = ____ msa. 15,000b. 1500C. 150d. 0.15 Upon receiving a complaint, HUD initiates an investigation and makes a determination to bring charges or dismiss the complaint within:________ a. 180 days of the filing of the complaint. b. 120 days of the filing of the complaint. c. 100 days of the filing of the complaint. d. 30 days of the filing of the complaint. A wheel with a radius of 7 inches is rotating at 4 revolutions per second. What is the linear speed v, in feet per second How many significant figures are in thismeasurement?10.006 L How many molecules of DNA would result from one molecule after five cycles of PCR? OA. 14 B. 10 C.5D. 32 What is the measure of AngleDCF? Three lines extend from point C. The space between line C D and C E is 75 degrees. The space between lines C E and C F is 54 degrees. The measure of AngleDCF is degrees. 20 POINTS!!! NEED ALL 4 ANSWERED!!! Set the two sides equal to each other and solve for x! -2x + 81 = 61 9x - 58 = 5 21 + 10x = 3x + 28 9x - 42 = 2x (I already put them in the correct forms based on each images But here's the images anyways, just in case.) Given x=-3, y=6, and z=-4 x+y+(-1)= From the income statement, the corporation had a net income of $724 million for the year. Total dividends were $106 million. There were 400 million shares outstanding. How much is the earnings per share? The scuba diver is a living system. The scuba gear, or self-contained underwater breathing apparatus, is a system of air exchange. How are these two systems interacting? What are the inputs and outputs of these systems? What is the area of 6ft and 5ft Question attached below:Thanks! :) How to introduce yourself in Korean and Arabic? It should be not too formal and not too informal. A cup sits on a table. Due to its position, the potential energy of the cup is 3.00 joules. Ignoring frictional effects, if the cup falls off the table, how much kinetic energy will it have when it is halfway to the floor? a) 3.00 J b) 1.50 J c) 0.00 J d) cannot be determined without knowing the mass and the height of the cups Due to a recent string of theft in your office, you need to harden your local system. What two actions are most appropriate for your situation? Each correct answer represents a complete solution. Choose two. what are the uses of rockets Two cubes have volumes in the ratio 27: 64. Find the ratio of their surface areas What are the measures of x,y & z?