Help me please 10 pts for you mark you brainliest

Help Me Please 10 Pts For You Mark You Brainliest
Help Me Please 10 Pts For You Mark You Brainliest
Help Me Please 10 Pts For You Mark You Brainliest
Help Me Please 10 Pts For You Mark You Brainliest

Answers

Answer 1

Answer 1: A and C

Step-by-step explanation:

Use distribution law to see which answer match the equation at the top.


Answer 2: 16q + 4

10q and 6q are like terms

10q + 6q = 16q

+

5 - 1

Help Me Please 10 Pts For You Mark You Brainliest
Help Me Please 10 Pts For You Mark You Brainliest
Answer 2

Answer:

Hello,

Step-by-step explanation:

page 1:

60-36j=12(5-3j) answer C
=6(10-6j) answer A

page 2:

10q+5+6q-1=16q+4=4(4q+1)

page 3:

24j-16=8(3j-2)

page 4:

10h+30+50j=10*(h+3+5j) answer B
=2*(5h+15+25j) answer C

=5(2h+6+10j) not A  nor D


Related Questions

Consider the equations y= |x-1 | and y = 3x + 2. The approxirate solution of this system of equations is

Answers

Answer:

Point Form: (- 1/4, 5/4)

Equation Form: x = - 1/4, y  = 5/4

Step-by-step explanation:

Of india’s more than 1.2 billion population, about _____ percent are muslims.
a) 4
b) 15
c) 26
d) 62
e) 88

Answers

Fifteen percent of Muslims live in India

A group of Advanced Open Water Divers plans to make two dives. The first dive is on a reef in 22 metres of water for 20 minutes. The group then remains on the surface for 1 hour. The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes. What will be the ending pressure group after the second dive

Answers

The ending pressure group after the second dive is R.

According to the statement

We have given that the

The first dive is on a reef in 22 metres of water for 20 minutes and The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes.

And we have to find the pressure group after second dive.

So, For this purpose, we know that the

Recreational scuba diving (R) – this diving has prescribed limits, including a depth no greater than 130 fsw, using only compressed air, and never requiring a decompression stop.

From the above situation, we could note that there was a prescribed limit 18m/60ft of water with a bottom time of 30 minutes.

And due to its the ending pressure becomes R.

So, The ending pressure group after the second dive is R.

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Select the correct answer.
Suppose the following function is graphed.
y = 8^5x +4
On the same grid, a new function is graphed. The new function is represented by the following equation.
y = -5^8x+8
Which of the following statements about these graphs is true?

Answers

The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

What is a graph?

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

How to interpret the graph?

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

Where:

x and y are the points.m is the slope.c is the intercept.

The condition for perpendicularity.

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

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Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

A salesman is carrying a big bag for selling a machine. In addition to the machine that the salesman wants to sell, there is some personal stuff. The weight of his machine is three kilogram and half a machine. In addition to the machine, there is a repair tool for the machine that weighs half kilogram and one-fourth of the machine. The personal stuff weighs four kilogram minus a fourth of the weight of the machine. Finally, the salesman has some supplies that weigh two-fifth of the machine and personal stuff combined. What is the total weight in the bag of salesman

Answers

The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.

What is a fraction?

A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.

Calculation:

It is given that,

A salesman is carrying a big bag for selling a machine.

Consider the weight of the machine = w

So,

The weight of his machine is three kilograms and half a machine. I.e.,

w = 3kg +w/2

⇒ w/2 = 3kg

w = 6kg

Thus, the weight of the machine is 6 Kg.

So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine

⇒ 1/2Kg + 1/4w

⇒ 1/2 + 6/4

2 Kg

The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.

⇒ 4Kg - w/4

⇒ 4 - 6/4

2.5 Kg

He has some supplies that weigh two-fifth of the machine and personal stuff combined.

⇒ 2/5(w + 2.5)

⇒ 2/5 × 8.5

3.4 Kg

Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg =  13.9Kg.

Therefore, the total weight of the salesman's bag is 13.9 Kg.

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The table below lists the tallest waterfalls in the world, in feet.
Name/Location Height (ft.) Mutarazi - Zimbabwe 24.99 x 102 Gocta Cataracts - Peru 2.532 x 103 Utigord - Norway 2,625 x 100 Angel - Venezuela .3212 x 104 Espelands - Norway 2.307 x 103 Yosemite - California (USA) 2,425 Monge - Norway 25.4 x 102 Tugela - South Africa 3.11 x 103 **Heights are approximations** [Part 1] List the waterfalls from tallest to shortest.. Show all of your work and/or explain your reasoning. [Part 2] What is the difference between the tallest and shortest heights? Show your work.

Answers

The difference between the tallest and shortest heights is 0.787 × 10

Statistics

Mutarazi - Zimbabwe 24.99 x 10²Gocta Cataracts - Peru 2.532 x 10³Utigord - Norway 2,625 x 10^0Angel - Venezuela .3212 x 10⁴Espelands - Norway 2.307 x 10⁴Yosemite - California (USA) 2,425Monge - Norway 25.4 x 10²ugela - South Africa 3.11 x 10³

From tallest to shortest:

Angel - Venezuela 3.212 x 10⁴Espelands - Norway 2.307 x 10⁴ugela - South Africa 3.11 x 10³Utigord - Norway 2,625 x 10^0Monge - Norway 25.4 x 10²Gocta Cataracts - Peru 2.532 x 10³Mutarazi - Zimbabwe 24.99 x 10²Yosemite - California (USA) 2,425

Difference between tallest and shortest heights =

3.212 x 10⁴ - 2,425

= 3.212 x 10⁴ - 2.425 × 10³

= (3.212 - 2.425) × 10^4 - 3

= 0.787 × 10

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Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −3^2 + 150 − 1200, where x is the amount he charges per tree.

1. How much does he need to charge if he wants to break even?

2. How much does he need to charge if he wants to make a profit of $600?

Answers

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

What is a quadratic function?

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

[tex]\Delta = 150^2 - 4(-3)(-1200) = 8100[/tex][tex]x_1 = \frac{-150 + \sqrt{8100}}{-6}[/tex][tex]x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40[/tex]

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

[tex]\Delta = 150^2 - 4(-3)(-1800) = 900[/tex][tex]x_1 = \frac{-150 + \sqrt{900}}{-6}[/tex][tex]x_2 = \frac{-150 - \sqrt{900}}{-6} = 30[/tex]

He needs to charge $30 for a profit of $600.

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Which fractions are equal to 2/3?


Check all that are true.

1
3

6
9

4
6

1
6

3
2

Answers

Answer:

It's the correct answer

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

Equivalent fractions of 2/3 : 4/6 , 6/9 , 8/12 , 

THX

Don't forget to mark me as brainliest

PLSSS HELP
Refer to your answers to the questions from Part 2 of Project 1.
A parabola goes through (negative 3, 3) & (1, negative 1). A point is below the parabola at (negative 3, 2). A line above the parabola goes through (negative 3, 4) & (0, 4). A point on the parabola is labeled (x, y).


What is the correct standard form of the equation of the parabola?

Enter your answer below. Be sure to show each step of your work.

Answers

The correct standard form of the equation of the parabola is:

[tex](x+3)^{2}[/tex]= 4(y - 3).

What is a parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

[tex](x-h)^{2}=4(y-k)[/tex]

[tex](x+3)^{2}[/tex]= 4(y-3)

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x =x=x, equals
^\circ

Answers

Answer:

x = 25°

Step-by-step explanation:

Hello!

25° and x° are vertical angles, therefore they are equal to each other.

Vertical angles are angles formed by two intersecting lines that are non-adjacent.

The angle to the right of 80° would be 55°, because the sum of angles on a line is 180°.

Angle x would be 25° because the other straight line contains angles 80°, 50° and x°.

What is the volume of the space filled with tissue paper in the packaging box? 81.84 cubic centimeters 105.84 cubic centimeters 198.264 cubic centimeters 222.264 cubic centimeters

Answers

The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters

Let l,b,h be the dimensions of small gift box V1 = Volume = l*b*h

= 24cm^3

Dimension of Large box are 2.1l , 2.1b,2.1h

Volume of large box = 2.1 l*2.1b*2.1h

= (2.1)^3*lbh

= (2.1)^3*24

V2 =222.264

Volume filled with tissue paper is V2-V1

222.264 - 24

= 198.264cm^3

Hence The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters

The complete question is shown below

Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters.What is the volume of the tissue paper in the packaging box?

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Clue 1
The number has three digits.
Clue 2 The number is less than 140.
Clue 3 The number has 7 as a factor.
Clue 4 The number is even.
Clue 5 The sum of the digits of the number is less than 9.

Answers

the number is 112
1. Three digits
2. Less than 140
3. 7 is a factor
4. Even
5. 1+1+2 = 4

Question down below about linear equations.

Answers

The system of equations is -x + y = 4 and -2x + y = 0

How to create the system of linear equations?

To do this, we make use of the following ordered pairs

(4, 8)

The above point represents April 2008.

Let the system of equations be

mx + ny = 4

2mx + ny = 0

Substitute (4, 8) for x and y in the above equations.

4m + 8n = 4

8m + 8n = 0

Subtract both equations

4m - 8m = 4

This gives

-4m = 4

Divide by 4

m = -1

Substitute m = -1 in 8m + 8n = 0

-8 + 8n = 0

This gives

8n = 8

Divide by 8

n = 1

So, the system of equations is -x + y = 4 and -2x + y = 0

The graph of the system of equations

The system of equations is -x + y = 4 and -2x + y = 0

See attachment for the graph of the system

Prove that the solution is (4, 8)

The above is represented in the (a) part of this solution

Verify that the solution is (4, 8)

We have:

-x + y = 4 and -2x + y = 0

Substitute (4, 8) for x and y in the above equations.

-4 + 8 = 4 --- true

-2*4 + 8 = 0 --- true

Both equations are true

Hence, the system of equations have been verified

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PLEASE HELP I GIVE 95 POINTS

Answers

D,
3^x is positive, and the y-in. is 1.
3^0 = 1
Process of elimination.

The following table shows each of Haruka's final exam scores last semester. Final exam Score on a 100100100-point scale Astronomy 727272 Biology 858585 Physics 929292 Chemistry \large

Answers

The mean calculated shows that the Chemistry score will be 87.

How to calculate the score?

From the information given, the total scores will be:

= 84 × 4

= 336

The addition of the scores given will be:

= 72 + 85 + 92

= 249

The Chemistry score will be:

= 336 - 249

= 87

Complete question:

If the mean of the data set is 84 points, find Harukas final exam score in Chemistry.

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A pizzeria has a choice of 15 toppings. How many ways could someone choose 3?

Select one:
a. 15
b. 455
c. 2,730
d. 3,375

Answers

Answer:

the answer is b 455

Step-by-step explanation:

15/(4×12)=455

Question 4 of 10
What can you say about the end behavior of the function f(x)--4x+6x²-52?
A. The leading coefficient is positive so the left end of the graph
goes down.
B. f(x) is an even function so both ends of the graph go in the same
direction.
C. The leading coefficient is positive so the left end of the graph
goes up.
D. f(x) is an even function so both ends of the graph go in opposite
directions.

Answers

The end behavior of the Polynomial f(x) = -4x⁶ + 6x² - 52 is;

B. f(x) is an even function so both ends of the graph go in the same

direction

What is the end behavior of the Polynomial?

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

Now, we are given the polynomial;

f(x) = -4x⁶ + 6x² - 52

Let us first test if the polynomial is even;

f(1) = -4(1)⁶ + 6(1)² - 52

f(1) = -50

Similarly;

f(-1) = -4(-1)⁶ + 6(-1)² - 52

f(-1) = -50

Since f(1) = f(-1), we can say that both ends of the graph go in opposite

directions.

Lastly, the leading coefficient is negative because it is -4 and as such it means that the left end goes down.

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b. Shawn has 42 points on his computer game. He loses the
next round though which takes away 50 points. How
many total points does Shawn now have?

Answers

Answer: -8 points

Step-by-step explanation: because he lost 50, and he originally had 42, a smaller number, the answer will go into the negatives.

42-50= -8, which is how you get the answer!

Answer:

-8

Step-by-step explanation:

42-50 is the same as 50-42, except the answer is negative

can someone please help me

Answers

Answer:

[tex]\frac{13\pi }{9}[/tex] radians

Step-by-step explanation:

to convert degrees to radians

degrees × [tex]\frac{\pi }{180}[/tex]

= 260 × [tex]\frac{\pi }{180}[/tex]

= 26 × [tex]\frac{\pi }{18}[/tex]

= 13 × [tex]\frac{\pi }{9}[/tex]

= [tex]\frac{13\pi }{9}[/tex]

Tickets for a concert were \$5$5dollar sign, 5 for each child and \$8$8dollar sign, 8 for each adult.

Answers

Answer:

What exactly is the question

Step-by-step explanation:

There's no clear question.

How much did Alexa make in 5.5 hours?

Answers

Using a proportional relationship, it is found that Alexa makes $146.45 in 5.5 hours.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant in this problem is:

k = 213.6/8 = 427.2/16 = 827.7/31 = 26.7.

Hence her earnings for x hours of work is:

y = 26.7x.

For 5.5 hours of work, her earnings are:

y = 26.7(5.5) = $146.45.

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An object has a mass of 560 kg and a volume of 8 m3. find the density of the object in kg/m3.

Answers

The density is 70 kg/m3. Here’s how I found it:
1: the formula for density is mass divided by volume (560/8)
2: 560/8=70
3. The label is kg/m3

What is the equation of the translated function, g(x), if f(x) = x2?


a.) g(x) = (x – 4)2 + 6


b.) g(x) = (x + 6)2 – 4


c.) g(x) = (x – 6)2 – 4


d.) g(x) = (x + 4)2 + 6

Answers

Answer: dfghj

Step-by-step explanation: xcfvghj

Answer: It's D

Step-by-step explanation:

Right on edge 2022

What are the answers to quick check for 13-2 equivalence with customary units of capacity in savvas

Answers

Hence, the customary units of capacity in Sava's are 1 Fluid ounce, 1 Cup, 1 Pint, 1 Quart and 1 Gallon.

According to the question,

The customary units of capacity in Sava's are 1 fluid ounce, 1 Cup, 1 Pint, 1 Quart and 1 Gallon.

Customary units and its equivalent  

1 Fluid ounce = 2 Tablespoons

1 Cup = 8 fluid ounces

1 Pint = 2 cups

1 Quart = 2 pints

1 Gallon = 4 quarts

Hence, the customary units of capacity in Sava's are 1 Fluid ounce, 1 Cup, 1 Pint, 1 Quart and 1 Gallon.

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Find n if GCF(n, 40)= 10 and LCM (n, 40)= 280

Answers

Answer:

70

Step-by-step explanation:

GCF(x,y)*LCM(x,y)=xy

10*280=40n

2800=40n

70=n

n=70

2. (01.01)
Evaluate 32+(5-2)-4-
O 19
O 16
O 46
24
3
. (1 point)

Answers

32+(5-2)-4
=32+3-4
=35-4
=31

describe fully the single transformation which maps triangle A onto triangle B.

Answers

The single transformation which maps triangle A onto triangle B is the reflection over the x axis, that is (x, y) ⇒ (x, -y)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, left, right or down in the coordinate plane.

The single transformation which maps triangle A onto triangle B is the reflection over the x axis, that is (x, y) ⇒ (x, -y)

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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

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

Answers

The final step in solving the inequality is to divide through by -2 and flip the sign

Solving Inequalities

From the question, we are to determine the final step in solving the inequality

The given inequality and the steps for solving are

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

The final step will be to divide both sides of the inequalities by -2 and then flip the sign

That is,

–6 < –2x

Divide both sides by -2 and flip the sign

3 > x

OR

x < 3

Hence, the final step in solving the inequality is to divide through by -2 and flip the sign

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Fill in the table using this function rule.

Answers

The complete table is

x     y

-1     -2

0     3

1     8

2    13

How to complete the table?

The function is given as:

y = 5x + 3

On the table, we have

x = -1, 0, 1 and 2

Using the above values, we have:

y = 5(-1) + 3 = -2

y = 5(0) + 3 = 3

y = 5(1) + 3 = 8

y = 5(2) + 3 = 13

So, the complete table is

x     y

-1     -2

0     3

1     8

2    13

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There were only 86 confirmed cases of Measles in the year 2000. In 2019, there was a reported 1,350 % increase in confirmed
cases of Measles. How many cases were there in 2019?

Answers

Answer:

1161 confirmed cases

Step-by-step explanation:

In 2000 the number of cases was 86

Percent means out of a hundred, so if we divide 1350 by 100 we get 13.5.

So, we must multiply 13.5 and 86 to get the amount of cases in 2019.

13.5*86 = 1161 confirmed cases in 2019

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How many times les are needed for a bathroom 2. 7 long ,2. 25cm wide and 3m high Determine delta h soln in terms of kj/mol for urea for both trialsTrial #1 Trial #2 19 kJ/mol 13 kJ/mol the issuance of bonds for borroiwing is classified in the statemnt of cash flows as ana. financing activity b. investing activity c. non cash activity d. operating activity 3. in what respect is a simple ammeter designed to measure electric current like an electric motor? explain. explain why the designing a controller for a mechatronic system is considered both engineering as well as an art Will give brainlest and 25 points A 4-column table with 3 rows. Column 1 has entries swim, do not swim, total. Column 2 is labeled softball with entries a, c, 20. Column 3 is labeled no softball with entries b, 5, e. Column 4 is labeled Total with entries 22, d, 32. A summer camp has 32 campers. 22 of them swim, 20 play softball, and 5 do not play softball or swim. Which values correctly complete the table? a = 15, b = 10, c = 7, d = 5, e = 12 a = 15, b = 7, c = 5, d = 10, e = 12 a = 14, b = 7, c = 5, d = 12, e = 10 a = 14, b = 12, c = 7, d = 5, e = 10. Programs remember numbers and other data in the computer's memory and access that data through program elements called comments. Messages. Integers. Variables El mstil de un velero se halla unido a la proa y a la popa por dos cables que forman con cubierta, ngulos de 45 y 60, respectivamente. si el barco tiene una longitud de 25 m, cul es la altura del mstil? The molar solubility of Mg(CN)2 is 1.4 x 10-5 Mata certain temperature. Determine the value of Ksp for Mg(CN)2 1 2 Based on the given values, fill in the ICE table to determine concentrations of all reactants and products. Mg(CN)2(s) = Mg2+ (aq) + 2 CN (aq) Initial (M) Change (M) U Equilibrium (M) RESET 0 1.4 x 10-5 -1.4 x 10-5 2.8 x 10-5 -2.8 x 10-5 +x +2x - 2x 1.4 x 10- + x 1.4 x 10- + 2x 1.4 x 10- - * 1.4 x 10-6 - 2x 2.8 * 10* + x 2.8 x 10 + 2x 2.8 x 10-5 - x 2.8 x 10-5 - 2x The molar solubility of Mg(CN)2 is 1.4 x 10- Mat a certain temperature. Determine the value of Ksp for Mg(CN)2. 1 2 Based on the set up of your ICE table, construct the expression for Ksp and then evaluate it. Do not combine or simplify terms. Ksp = RESET [0] [1.4 x 10-) [2.8 x 10-6 [1.4 x 10-12 [2.8 x 10-12 [2x] [1.4 x 10- + x] [1.4 x 10- + 2x)* [1.4 x 10-4 - x] [1.4 x 10% - 2x}" [2.8 x 10- + x] [2.8 x 10* + 2x] [2.8 x 10" - x) [2.8 x 10-4 - 2x]? 1.4 x 10-6 2.7 x 10-15 1.1 x 10-14 2.2 x 10-14 3.9 x 10-10 assuming a perfectly competitive market, with the cost function c = 295 3q2 and price = $48 what is the profit maximizing quantity? the shortest wavelength of a photon that can be emitted by a hydrogen atom, for which the initial state is n = 4 is closest to The answer is supposedly 92nm, but I only get that if I solve it as R(1/12 - 1/122).However, shouldn't it be R(1/[infinity] - 1/122)?For example, in this question: "The shortest wavelength of a photon that can be emitted by a hydrogen atom, for which the initial state is n = 3, is closest to," the answer is 820nm. The sine curve y = a sin(k(x b)) has amplitude _____, period ______, and horizontal shift ______. The sine curve y = 2 sin 7 x 4 has amplitude _____, period ______, and horizontal shift ________. draw the lewis structure of so (by following the octet rule on all atoms) and then determine the hybridization of the central atom.