Write an equation of the line that is parallel to the line whose equation is 3y+7=2x and passes through point (2,6).

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.

We need to find it because, if two lines are parallel, then that means they have the same slope.

The best way to do this is solve for y:

[tex]3y+7=2x\\3y=2x-7\\y=\frac{2}{3}-\frac{7}{3}[/tex]

Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.

Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:

[tex]y = mx+b\\y=\frac{2}{3}x+b\\6=\frac{2}{3}(2)+b\\18=4+3b\\ 14=3b\\\frac{14}{3} = b[/tex]

So our line is:

[tex]y=\frac{2}{3}x+\frac{14}{3}[/tex]

Answer 2
Final answer:

To find the equation of a line parallel to a given line and passing through a given point, first find the slope of the original line. Then, using the slope-intercept form of a line, substitute the given point's coordinates and the slope to find the equation of the parallel line.

Explanation:

To find an equation of the line parallel to 3y+7=2x and passing through point (2,6), we need to find the slope of the original line and then use it to create the equation of the parallel line. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

The given equation 3y+7=2x can be rearranged to y = (2/3)x + 7/3.

The slope of this line is 2/3. Since a line parallel to another line has the same slope, the slope of the parallel line is also 2/3.

Using the point (2,6) and the slope 2/3, we can use the slope-intercept form to find the equation of the parallel line: y = (2/3)x + b. Plugging in the coordinates of the given point, we get 6 = (2/3)(2) + b.

Solving for b, we find that b = 5/3. Therefore, the equation of the line parallel to 3y+7=2x and passing through (2,6) is y = (2/3)x + 5/3.

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Related Questions

The table shows the price of potatoes. The price varies directly with the weight in pounds.


Explain what the origin represents in this situation.


What is the unit rate for this direct variation? If the unit rate is less than one, put a zero to the left of the decimal point.

Answers

Answer:

The origin represents no potatoes, thus no money.

The variation is 0.99 per pound.

Step-by-step explanation:

If the price of 3 pounds is $2.97, that means each pound costs $0.99

So, the price of 4 pounds of potatoe, is 4 x $0.99 = $3.96

Same for 6 and 10:

6 x $0.99 = $5.94

10 x $0.99 = $9.90

So, the variation is $0.99 for pound of potatoe

Answer: The unit rate is $0.99.

and the origin represents no potatoes means no money i.e. (0,0).

Step-by-step explanation:

Since we have given the table.

Cost of 3 potatoes = $2.97

Cost of 4 potatoes = $3.96

Since there is direct variation.

So, unit rate would be

[tex]\dfrac{2.97}{3}=\dfrac{3.96}{4}=\$0.99[/tex]

Hence, the unit rate is $0.99.

and the origin represents no potatoes means no money i.e. (0,0).

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?
The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.
The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.
The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.

Answers

Answer:

C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

Step-by-step explanation:

The average rate of change for the function f(x) from [tex]x_1=a[/tex] and [tex]x_2=b[/tex] is

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

It is a measure of how much the function changed per unit, on average, over that interval.

Actually, this is the slope of the line passing through two points on the graph of the function.

If the average rate of change of the function f(x) between m = 36 and m = 60 is -0,04, it means that the value of the comic book decreased (because of negative number -0.04) by an average of $0.04 each month (a unit in this case is a month) between m = 36 and m = 60.

Answer:

C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

Step-by-step explanation:

Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year ?
(b) Find the amount in the account at the end of 2 years.?

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6[/tex]

Which three dimensional figure has double the number of edges than faces

Answers

Answer:cube

Step-by-step explanation:

Answer:

Cube

Step-by-step explanation:

Take a cube, or draw one. You can count the faces.

Knowing that a cube has 6 faces, we will count the edges.

There are 12 edges on a cube.

So, 12÷6=2.

Anything that you multiply by two is half the product.

state the x and y intercepts of 4x-3y=-12
im confused on how to find it can someone please help.

Answers

Answer: X intercept= (-3,0) Y intercept= (0,4)

Step-by-step explanation:

Solve the equation by finding square roots

9x^2-12x+4=-3

Answers

square root of 3, √3

Factor the expression completely
[tex] { \times }^{2} - 2x - 63 [/tex]

Answers

use form x^2 + bx + c
b = -2
c = -63
find a pair of integers whose product equals c and sum equals b

so, find a product that equals -63 and a sum that equals -2

-9 + 7 = -2
-9 • 7 = -63

write in factored form ->
(x - 9)(x + 7)

Solve for x.
46
12x - 3
5x + 7

With draw angels

Answers

Answer:

12x-3=

Step-by-step explanation:

x=12+3

=15

=5×+7=

×=7-5

=2

5

Final answer:

To solve for x, one must understand the type of equation provided. Unfortunately, the original question does not provide clear context or an equation. Therefore, various methods such as algebraic manipulation, proportions, or the quadratic formula may be used to solve for x depending on the equation at hand.

Explanation:

The information provided in the question seems fragmented and lacking context. To solve for x in algebra, one would typically rearrange the equation and isolate the variable x. Here are various ways that might be relevant:

For linear equations, you can divide or multiply both sides of the equation by a number to isolate x.

When dealing with proportions, like 12 inches/1 foot = x inches/3.5 feet, you would cross multiply to solve for x.

If given a quadratic equation such as ax² + bx + c = 0, you can use the quadratic formula to find the roots or solutions for x.

In cases where the provided information is insufficient, clarifying the original equation or context is essential to provide an accurate solution.

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I need help with my daughter math homework this is the question Angela counts 18 people in canoes on the lake. There are 2 people in each canoe. How many cameos are in the lake?

Answers

Answer:

there are 9 canoes on the lake

Step-by-step explanation:

divide 18 by 2

Answer:

10

Step-by-step explanation:

you must divide the number of all the people for the number of the people who can stay on tbe canoes (18:2=9) then ypu should add angela couse she didn't count herself (9+1=10)

What is the inverse of this given function?

Answers

to get the inverse of any expression, we start off by simply doing a quick switcheroo on the variables, and then solving for "y".

[tex]\bf g(x)=4y\implies \stackrel{switcheroo}{g(y)=4x}[/tex]

Name each quadrant these points are in
1.(3,-1)
2.(-2,3)
3.(4.5,-3)
4.(-6,2.3)

Answers

Answer:

(3,1),(-2,3),(4.5,-3),(-6,2.3)

Your quadrants are going to be 4,2,4,2 respectively

Which best describes the number 7?
Write prime or composite.

Answers

Answer:

he number 7 is a prime number because it can't be divided by any other other number

Step-by-step explanation:

Answer: Prime

Step-by-step explanation: To find out if 7 is a prime or composite number, we can begin by finding the factors of 7.

7 ÷ 1 = 7

This means that 1 and 7 are factors. Notice however that 7 does not divide evenly between 2, 3, 4, 5, or 6. The only other number that 7 divides by evenly is 7. When we divided 7 by 7, we get 1. Notice however that 7 and 1 are repeat factors so we can stop. This means that the factors of 7 are 1 and 7. When a number only has 2 factors, it's called a prime number. Therefore, 7 is considered a prime number.

PLEASE HELP!!!
below is the graph of a system of two linear equations.
what system does it represent, and what is the solution of this system ?

Answers

Answer:

A

Step-by-step explanation:

You must first find a Y value and plug it into both equations and then plug the solution in then simplify to see if they equal each other or not. the one that equals to each other is the solution

What is the product?
(2x - 1)(x+4)
2x?-4
2x+4
2x+7-4
2x? - 7x-4

Answers

The answer is :

2x^2 + 7x - 4

The Kentucky Derby distance is
23 furlongs. How far is the Kentucky Derby in​ (a) rods?​ (b) fathoms?

Answers

Answer:

Part a) 920 rods

Part b) 2,530 fathoms

Step-by-step explanation:

we have that

The Kentucky Derby distance is  23 furlongs

Part a) How far is the Kentucky Derby in​ rods?

Remember that

[tex]1\ furlong= 40\ rods[/tex]

so

To convert furlongs to rods multiply by 40

[tex]23\ furlongs=23(40)=920\ rods[/tex]

Part b) How far is the Kentucky Derby in​  fathoms?

Remember that

[tex]1\ furlong= 110\ fathoms[/tex]

so

To convert furlongs to fathoms multiply by 110

[tex]23\ furlongs=23(110)=2,530\ fathoms[/tex]

List 3 things that you should consider when choosing a career.

Answers

Answer:

1.)Will this career choice be a good fit for you?

2.)Does choosing a profession in this field require you to relocate?

3.)Will this profession pay you what you want or need to survive?

Step-by-step explanation:

Decision-making involves balancing the pros and cons of what you have been researching and experimenting with. Will this career choice be a good fit for you? Does choosing a profession in this field require you to relocate? Will this profession pay you what you want or need to survive? Honest answers to these questions will help you make the best decision. Also, consider when you plan to enter the industry. If it is a job that requires a lot of training or years of education, this time may be far in the future, so you need to be flexible with your plans and make allowances for changes as they come.

Answer: salary, education requirements, work/life balance

Step-by-step explanation:  edge 2022

g(x) = x-6
If the opposite of g(x) is -g(x),
then -g(x) =

Answers

Answer:  The required expression for -g(x) is -x+6.

Step-by-step explanation:  We are given the following function :

[tex]g(x)=x-6.[/tex]

Also, the opposite of g(x) is -g(x).

We are to find the expression for g(x).

According to the given information, we have

[tex]-g(x)\\\\=-(x-6)\\\\=-x+6.[/tex]

Thus, the required expression for -g(x) is -x+6.

if you deposit a check for $43.95 and $12.39 in cash, what is the total deposit amount?​

Answers

Answer:

$56.34

Step-by-step explanation:

The answer for this is 56.34

Tickets to the country fair cost $8 for an adult and $5 for a child. If you have 15% discount card, how much will 2 adult tickets a d 2 child tickets cost?

Answers

Answer:

$22.10

Step-by-step explanation:     Cost of tickets without discount $8×2+5×2=16+10=26

Cost with discount: 26× 100−15/100 = 26×85/100 = 2210/100 = 22.10.

Hope this helps :)

-n+(-4)-(-4n)+6


solve

Answers

Answer:

3n + 2

Step-by-step explanation:

-n+(-4)-(-4n)+6

= -n -4 +4n +6        [positive plus negative =  negative; ∴  +(-4) = -4

=4n - n +6 - 4                      negative plus negative = positive; ∴ -(-4n) = 4]

now subtract n from 4n and subtract 4 from 6

=3n + 2

                                                                                                       

                             

the answer is =3n+2 Hope this helps ! ;-)

Four lines are drawn on a coordinate plan
trapezoid WXYZ

Answers

Answer:

Step-by-step explanation:

Given a trapezoid WXYZ. In a trapezoid one pair of opposite sides are parallel .Parallel lines have same slope.Slope of line parallel to x axis is 0.If the line starts at the bottom left and goes towards the top right it has negative slope.

All that is true for Trapezoid WXYZ are:

Line WZ has the same slope as line XY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept

What they said lolll

Describe the location of the sum, relative to p, on a number line
P+(-2)

Answers

Answer:

The location of the sum is 2 units before P (left to P)

Step-by-step explanation:

* Lets describe the number line

- A number line is a horizontal straight line with numbers placed at

 an equal units

- A number line can be extended infinitely to the left and to the right

- A number line represents both positive and negative integers

- The numbers come on it from left to right

- The negative numbers come on the left of zero and the positive

  numbers come on the right of zero

- Ex: -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 part of the numbers on the

 number line

- To add numbers on the number line we start from first number of

  the addition and if this number is added by a positive number we

  go to right , if the number is added by a negative number

  we go to left

- Ex: 5 + 3 ⇒ go from 5 to the right 3 units, then your position is at 8

 2 + (-3) ⇒ go from 2 to the left 3 units then your position is at -1

* Now lets solve the problem

- The sum of P + (-2)

∵ Your location is P

∵ You will add P by (-2)

- Negative number means you go to the left

∴ Your position will be before P by two units

The location of the sum is 2 units before P (left to P)

The sum of p + (-2) will always be located to the left of p on a number line.

To describe the location of the sum P+(−2) on a number line, you would start at the point represented by

P and then move 2 units to the left.

This is because adding a negative number is equivalent to moving to the left on the number line.

For example, if P is located at the number 5 on the number line, then

P+(−2) would be located at 5−2=3.

So, the sum is 3 units to the left of the point P on the number line.

6x + 5 = 27 , if x = 4

Answers

Answer: 0.93

Explanation: write out the problem and sub in 4, for "x". So it would look like this; 6 (4) + 5=27

6 (4)= 24, then add 5, which equals 29. so your next step would look like this; 29=27. Once you get this you want to divide each side by 29. The 29 cancels and 27/29 is equal to 0.93

A woman traveled 2438.1 miles in 17 hours 20 minutes. Find the average speed of her light in miles per hour (Change 17 hours 20 minutes into hours and use the formula
d=rt)

Answers

Answer:

+140.68 m/h

Step-by-step explanation:

17.33 h

2438.1/17.33 = 140.68

+140.68 m/h

Final answer:

The woman's average flight speed is 140.7 miles/hour, calculated by using the formula for speed (v = d/t) on the provided distance (2438.1 miles) and the converted time (17 hours 20 minutes to 17.333 hours).

Explanation:

Calculating Average Speed

The question is asking to calculate the average speed of a woman's flight given the distance traveled and the time taken. To convert the time from hours and minutes to just hours, we use the fact that 20 minutes is ⅓ of an hour (20/60). Therefore, 17 hours 20 minutes is equivalent to 17 + ⅓ = 17.333 hours.

We use the formula for speed, v = d/t, which tells us that speed (v) is the distance (d) divided by the time (t). Plugging in the given values:

Distance (d) = 2438.1 miles

Time (t) = 17.333 hours

Applying these values to the formula gives us:

v = 2438.1 miles / 17.333 hours = 140.7 miles/hour.

So, the final answer is that the woman's average speed during her flight was 140.7 miles/hour.

Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U. Which is another way to name AngleUST? AngleTSR AngleTSU AngleUSR AngleUTS

Answers

Answer:

Angle TSU

Step-by-step explanation:

Two lines extend from point S to create a right angle TSR, where the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.

A third line extends right and up from point S through point U (see attached diagram for details).

Consider angle UST. We can name angles by using three capital letters like: UST. The middle letter is called the vertex of the angle. In your case, the vertex is at S. Two consecutive letters shows the rays which form the angle. In your case, SU (ray from S to U) and ST (ray from S to T) form the angle. If we consider rays ST and SU, then we get angle name TSU.

The way to name angle UST is the angle TSU.

Two lines extend from point S to create a right angle TSR, when the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.

What is the meaning of the angle?

A corner whether constituting a projecting part of a partially enclosed space.

A third line extends right and up from point S through point U (see attached diagram for details).

Consider angle UST.

We can name angles by using three capital letters like: UST.

The vertex of the angle is the middle letter.

In this case, the vertex is at S.

Two consecutive letters show the rays which form the angle.

In case, SU and ST form the angle.

We consider rays ST and SU, So we get the angle name UST.

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Berta wants to plant 1,224 trees in 8 equal rows. How many trees will go in each row?​

Answers

Answer: 153 trees in each row

Step-by-step explanation:

You would divide 1,224 by 8 to get 153 trees in each row.

sammy's bucket holds 2,530 milliliters of water. Marie's bucket holds 2 liters 30 milliliters of water. Katie's bucket holds 2 liters 350 milliliters of water. Whose bucket holds the least amount of water.​

Answers

Final answer:

After converting all volumes to the same unit (milliliters), we can compare them. Sammy's bucket holds 2,530 milliliters, Marie's bucket holds 2,030 milliliters, and Katie's bucket holds 2,350 milliliters. Therefore, Marie's bucket holds the least amount of water.

Explanation:

To answer this question, we first need to convert all the volume measurements to the same unit. In this case, we'll convert everything to milliliters. We know that 1 liter equals 1000 milliliters. Therefore, Marie's bucket holds 2,030 milliliters (2 liters equal 2000 milliliters plus 30 milliliters), and Katie's bucket holds 2,350 milliliters (2 liters equal 2000 milliliters plus 350 milliliters).

Now that all the volumes are in the same units, we can compare them. Sammy's bucket holds 2,530 milliliters, Marie's bucket holds 2,030 milliliters, and Katie's bucket holds 2,350 milliliters.

From this comparison, we can see that Marie's bucket holds the least amount of water.

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Suri solved the equation x squared = 49 and found that x=7. What error did Suri make?

Answers

Answer:

x = [tex]\frac{+}{-}[/tex] 7

Step-by-step explanation:

[tex]x^{2}[/tex] = 49

[tex]\sqrt{49}[/tex] can equal 7 or -7

7 x 7 = 49.  -7 x -7 = 49

Final answer:

Suri made the error of only finding one solution for the equation x squared = 49. The correct solutions are x = 7 and x = -7.

Explanation:

Suri made an error when solving the equation x squared = 49 by only finding one value for x. In fact, there are two solutions to this equation, as the square root of 49 can be both positive and negative. So the correct solutions are x = 7 and x = -7.

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Help me please!! 30 points

Answers

Answer:

1. 0.03

2. 0.066

3. 0.20833

4. 0.42105263157

Step-by-step explanation:

K=y/x
1. Y=k•x
Y= 50•1.5
Y= 50•15/10
Y = 75

2. x=y/k
x= (3•3/4)/(1/4)
x= (15/4)• 4
x= (15•4)/4
x= 15

3. Y= k•x
Y= (1/2)•(2•4/5)
Y= (1/2)•(14/5)
Y= 14/10
Y=7/5
Y= 1.4

4. x= y/k
x= 38/16
x= 2.375
x=

c(n)=−6+5(n−1) find the 8th term in the sequence

Answers

Answer:

Step-by-step explanation:

n = 8

c(n) = -6+5(n - 1)

c(8) = -6+5(8 - 1)

c(8) = -6+5( 7)

c(8) = -6+5(7)

c(8) = -6+35

c(8) =  29

============

Here is the series.

-6

-1

4

9

14

19

24

29

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The antibiotic rifampin inhibits the bacterial RNA polymerase, preventing it from binding to the promoter region. This inhibits ___________a. translationb. transcriptionc. transpositiond. transductione. transformation 6h-3=7h-13step by step pleasee We sometimes "signal" interest in someone without the use of words, which is part of how we establish a relationship with another person, possibly a lasting one. How would an anthropologist describe our behavior? The probability that a lab specimen contains high levels of contamination is 0.15. A group of 3 independent samples are checked. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that none contain high levels of contamination? (b) What is the probability that exactly one contains high levels of contamination? (c) What is the probability that at least one contains high levels of contamination? Can i please have help i will rate 5 and thank. Song Title:Year Song Was Released:1.How many different instruments do you hear in this band or group? Identify and name the instruments you hearAnswer: 2.Is one instrument featured more prominently than the others? What is it about the sound of that instrument that makes a distinct impression on the listener? What is unique about this instrument? Answer:3.Choose an instrument that you normally dont pay much attention to (maybe the bass or the keyboard, for instance). Listen carefully to how it sounds in this song. Describe three interesting features that characterize this instrument and its sound. Why is this instrument crucial to the overall sound of this band? Explain your reasoning.Answer:4.Think about the singer and the instruments in the band. Are the instruments and the singer of equal importance? In your opinion, which is more important and why do you think so?Answer: which of the following is indicated by the arrow in the image Convert the condensed structures to line angle formulas: 1. CH3CH2CH(CH3)CH2CH3 8. CH:COCH 9. CH3CH2OCH3 2. CH3CH2CH(CH2CH3)CH(CH3)CH2CHO CH)CH:CH-CH: 10. CH CH2CH=C(CH:CH)(C(CH))CH 3. CH3CH2CH(CH3)CH(CH3)CH2CH3 11. CH:CH-CH(CH2CH)CH OH 4. CH3C(CH3)2CH2CH2CH(CH3)CH2CH3 12. CHCHOCH2CHO 5. CH(CH3)2CH(CI)CH2CH3 13. HOOCCH2NHCH(CH3)COCH; 6. CH3CH2CHOCH(CH2CH3)CH2CH3 14. HOOCCH OCH COOH 7. HOCH:C(CH3)2CONH2 name the property that is shown by the following expression (9x3)x4=9x(3x4) PLEASE HELPWhich of the following is TRUE about gothic master builders?A. They designed the structure of the church without supervising its constructionB. Their primary role was to construct the church the abbot designed.C. They worked closely with the abbot to design and build a church.D. They supervised construction without working with their own hands. Exotics Faucets and Sinks LTD., guarantees that its new infrared sensor faucet will save any household that has 2 or more children at least $30 per month in water costs beginning 1 month after the faucet is installed. If the faucet is under full warranty for 5 years, the minimum amount a family of four could afford to spend now on such a faucet at an interest rate of 1/2% per year, compounded monthly, is closest to(a) $149c) $1787(b) $1552d) $1890 Which terms are rational in the expansion of (\sqrt{3} + \frac{1}{\sqrt[4]{6}})^{15} . List the rational terms and justify why the others are not rational. Please help me answer these: (8.18*10^-6)(1.15*10^-5)and1.15*10^-7_______2.5*10^-3 It's scientific notation and please explain your answer What volume of phenytoin suspension 30 mg/5 mL is required to be added to a suitable diluent to obtain 150 mL phenytoin suspension 20 mg/5 mL? 100 Use Gaussian elimination on the augmented matrix, then use back substitution to find the solution of the system of linear equations.-2x + 3y - 4z = 75x - y + 2z = 133x + 2y - z = 17