HELP PLEASE! giving brainliest What would be the slope of a line parallel to the line below

HELP PLEASE! Giving Brainliest What Would Be The Slope Of A Line Parallel To The Line Below

Answers

Answer 1
The third one
-3\2 I think
Answer 2
The answer would be 2/3.

Related Questions

questions 5 and 6 please!
formula: y = ax + q

Answers

Answer:

5) y = 1x + 2

6) y = -0.5x + 6

Explanation:

5)

Given points are (-3, -1), (2, 4)

[tex]\sf slope \:formula: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here, find slope:

[tex]\rightarrow \sf slope \ (a) = \dfrac{4-(-1)}{2-(-3)} = \dfrac{5}{5} = 1[/tex]

Find Equation:

y = ax + q

Here found that a = 1, take (x, y) = (-3, -1)

[tex]\sf -1 = 1(-3) + q[/tex]

[tex]\sf q - 3 = -1[/tex]

[tex]\sf q = -1 + 3[/tex]

[tex]\sf q = 2[/tex]

So, in total equation:

y = 1x + 2

-------------------------------------------------------------------------------------

6)

Given points are (-2, 7), (2, 5)

[tex]\sf slope \:formula: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here, find slope:

[tex]\rightarrow \sf slope \ (a) = \dfrac{5-7}{2-(-2)} = -0.5[/tex]

Find Equation:

y = ax + q

Here found that a = -0.5, (x, y) = (-2, 7)

[tex]\sf 7 = -0.5(-2) + q[/tex]

[tex]\sf 7 = 1 + q[/tex]

[tex]\sf q = 7-1[/tex]

[tex]\sf q = 6[/tex]

So, in total equation:

y = -0.5x + 6

Answer:

Since √3√3 is equal to 1 , you simply rearranged the way it was written. The value of the simplified fraction stays the same

quick question for 40 points​

Answers

A,B,C
The range is the y-axis, which is not always 3.
The line is not a function because there are multiple y values per x value.

there was 506 tickets sold for the school play they were either student tickets or adult tickets there was 56 more student tickets sold than adult tickets sold how many adult tickets were sold

Answers

Answer:

A = 228 tickets

Step-by-step explanation:

We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.

Because the number of adult and student tickets together equals 506, we have A + S = 506.

Because there are 56 more student tickets than adult tickets we have A + 56 = S

And the way the system is already set up allows us to use substitution.

Thus, we have:

[tex]A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S[/tex]

The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.

Which of these ordered pairs is a solution to the linear inequality y > 3x + 2?


(–1, –5)


(–2, –7)


(2, 8)


(2, 9)

Answers

The ordered pairs that is a solution to the linear inequality y > 3x + 2 is

(2, 9)

How to find solution of inequality?

The inequality is as follows;

y > 3x + 2

Therefore, let's try option 1

(-1, -5)

-5 > 3(-1) + 2

-5 > -3 + 2

-5 > - 1 (This is false)

(–2, –7)

-7 > 3(-2) + 2

-7 > -6 + 2

-7 > -4 (This is false)

(2, 8)

8 > 3(2) + 2

8 > 6 + 2

8 > 8 (false)

(2, 9)

9 > 3(2) + 2

9 > 8 (This true)

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Find the measure of side b.
b = _ yd

Answers

side b would be approximately 26.7 yards

Which equation represents the line that is perpendicular to and passes through (-8,-2)?

x = -2

x = -8

y = -6

y = -8

Answers

The equation of the line that is perpendicular to y = 1/6 is: B. x = -8.

How to Find the Equation of Perpendicular Lines?

Perpendicular lines have slope values that equals -1 when multiplied together, that is, they are negative reciprocals.

Given the equation, y = 1/6, the slope is 0. This means it is a vertical line, therefore, the line that is perpendicular to it would automatically be a vertical line with an undefined slope which passes through (,8, -2).

The line therefore, would intercept the x-axis at -8. The equation would be: x = -8.

Equation of the perpendicular line is therefore: B. x = -8.

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An international company has 21,700 employees in one country. If this represents 17.7% of the company's employees, how many employees does
it have in total?
Round your answer to the nearest whole number.

Answers

Answer:

122,599

Step-by-step explanation:

In words, what I am is asking is 17.7% of what number is 21,700.  I will need to change 17.7% to a decimal.  To do that, I move the decimal 2 places to the left.  Then solve.

.177 x w = 21700  Divide both sides by .177

w = 122,599

Find the reminder when 3x² + 2x -7 is divided by x - 1

Answers

Answer:

-2

Step-by-step explanation:

When x = 1, 3x² + 2x - 7 = -2.

Solve the differential equation
[tex]y {}^{(5)} -4y {}^{(4)} +4y'''-y''+4y'-4y=69[/tex]

Answers

The given differential equation has characteristic equation

[tex]r^5 - 4r^4 + 4r^3 - r^2 + 4r - 4 = 0[/tex]

Solve for the roots [tex]r[/tex].

[tex]r^3 (r^2 - 4r + 4) - (r^2 - 4r + 4) = 0[/tex]

[tex](r^3 - 1) (r^2 - 4r + 4) = 0[/tex]

[tex](r^3 - 1) (r - 2)^2 = 0[/tex]

[tex]r^3 - 1 = 0 \text{ or } (r-2)^2=0[/tex]

The first case has the three cubic roots of 1 as its roots,

[tex]r^3 = 1 = 1e^{i0} \implies r = 1^{1/3} e^{i(0+2\pi k)/3} \text{ for } k\in\{0,1,2\} \\\\ \implies r = 1e^{i0} = 1 \text{ or } r = 1e^{i2\pi/3} = -\dfrac{1+i\sqrt3}2 \text{ or } r = 1e^{i4\pi/3} = -\dfrac{1-i\sqrt3}2[/tex]

while the other case has a repeated root of

[tex](r-2)^2 = 0 \implies r = 2[/tex]

Hence the characteristic solution to the ODE is

[tex]y_c = C_1 e^x + C_2 e^{-(1+i\sqrt3)/2\,x} + C_3 e^{-(1-i\sqrt3)/2\,x} + C_4e^{2x} + C_5xe^{2x}[/tex]

Using Euler's identity

[tex]e^{ix} = \cos(x) + i \sin(x)[/tex]

we can reduce the complex exponential terms to

[tex]e^{-(1\pm i\sqrt3)/2\,x} = e^{-x/2} \left(\cos\left(\dfrac{\sqrt3}2x\right) \pm i \sin\left(\dfrac{\sqrt3}2x\right)\right)[/tex]

and thus simplify [tex]y_c[/tex] to

[tex]y_c = C_1 e^x + C_2 e^{-x/2} \cos\left(\dfrac{\sqrt3}2x\right) + C_3 e^{-x/2} \sin\left(\dfrac{\sqrt3}2x\right) \\ ~~~~~~~~ + C_3 e^{-(1-i\sqrt3)/2\,x} + C_4e^{2x} + C_5xe^{2x}[/tex]

For the non-homogeneous ODE, consider the constant particular solution

[tex]y_p = A[/tex]

whose derivatives all vanish. Substituting this into the ODE gives

[tex]-4A = 69 \implies A = -\dfrac{69}4[/tex]

and so the general solution to the ODE is

[tex]y = -\dfrac{69}4 + C_1 e^x + C_2 e^{-x/2} \cos\left(\dfrac{\sqrt3}2x\right) + C_3 e^{-x/2} \sin\left(\dfrac{\sqrt3}2x\right) \\ ~~~~~~~~ + C_3 e^{-(1-i\sqrt3)/2\,x} + C_4e^{2x} + C_5xe^{2x}[/tex]

Find the integral
∫(cos(1/x)) /x^2 dx

Answers

Answer:

Step-by-step explanation:

∫(cos(1/x)/x² dx

[tex]put~\frac{1}{x} =t\\diff.\\\frac{-1}{x^2} dx=dt\\\int(- cos~t~)dt=-sin~t+c\\=-sin (\frac{1}{x} )+c[/tex]

Factor
(a-2b) (3x-5y) + (2b-a)(x-y)


Answers

Answer:

8by + 2ax - 4bx - 4ay

Step-by-step explanation:

I assume you mean expand so:

(a - 2b)(3x - 5y) + (2b - a)(x - y)

3ax - 5ay - 6bx + 10by + 2bx - 2by - ax + ay

Now collect like terms:

2ax - 4ay - 4bx + 8by

This is your answer but in a better order:

8by + 2ax - 4bx - 4ay

A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with stain. One rectangular area is 23 feet by 10.4 feet, and the other is 10.5 feet by 7.2 feet. Which expression gives the number of gallons of stain Bradley will need?
Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket divided by 200
Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket divided by 200
Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket times 200
Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket times 200

Answers

The expression that we need to get is:

[tex]N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}[/tex]

So the correct option is the second one.

Which expression gives the number of gallons of stain Bradley will need?

We know that 1 gallon is enough to cover 200 ft².

We have two rectangular areas, one of:

23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.

Then the total area is:

A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)

The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:

[tex]N = \frac{(23ft)*(10.4ft) + (10.5ft)*(7.2ft)}{200ft^2} \\\\N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}[/tex]

So the corerect option is the second one.

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40°
87°

Q
Image not to scale
38°
Calculate the missing internal angle x.

Answers

Q = 87 + 40

Q = 127

X + 127 + 38 = 180

X = 180 - 127 - 38

X = 15

Therefore we say X is 15

Hence, the missing internal angle is [tex]15[/tex].

What is the angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes. These are called dihedral angles.

Here given that,

[tex]Q = 87 + 40Q = 127X + 127 + 38 = 180X = 180 - 127 - 38X = 15[/tex]

Hence, the missing internal angle is [tex]15[/tex].

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Find the vertex of the quadratic function.
ƒ(x) = 2(x−1)² +3
a. (1,3)
b. (2, -1)
c. (-1,3)
d. (2,3)

Answers

hi,

the function is given with it's canonic form.  

canonic form is  :  f(x) = a ( x-α)² + β

α  and β are the value of the coordonnates of the vertex.

so here we  have : ƒ(x) = 2(x−1)² +3

with α = 1  and β = 3

so vertex is  V (1;3)

So yes, answer is   A.

two candles of the same height are lighted at the same time. the first is consumed in 4 hrs and the second in 3 hrs. assuming that each candle burns at a constant rate, in how many hours after being lighted was the first candle twice the height of the second?

Answers

The height of candle 4 is twice that of candle B after 2.4 hours.

How many hours after being lighted was the first candle twice the height of the second?

For candle, A time is taken for 100% bearning=4hour.

For 1 hour, it burns for 25%(100/4)

After 1 hr.[tex]\frac{25}{100}[/tex]

After x hours, the amount burnt[tex]=\frac{x}{4}[/tex]

Amount left[tex]=1-\frac{x}{4} =\frac{4-x}{4}[/tex]

Let's not presume that candle B's height will be half that of candle A after x hours.

After x hours, part vemacing [tex]=1-\frac{x}{3} =\frac{3-x}{3}[/tex]

[tex]\frac{4-x}{4} =1\frac{3-x}{3}[/tex]

Height of candle A[tex]=2[/tex]×Height of candle B.

[tex]12-3x=24-8x[/tex]

   ⇒[tex]5x=12[/tex]

        [tex]x=\frac{12}{5}[/tex]

           [tex]=2.4[/tex]

The height of candle 4 is twice that of candle B after 2.4 hours.

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You throw a ball at a height of 6 feet above the
ground. The height h (in feet) of the ball after t seconds can be modeled by the equation

h=-16t² +62t +6. After how many seconds does the ball reach a height of 27 feet?

Answers

Answer:

0.375 second and 3.5 second

Step-by-step explanation:

The position can be modeled by a quadratic function [tex]\displaystyle{h=-16t^2+62t+6}[/tex]. We are tasked to find the time when a ball reaches a height of 27 feet. Therefore, let h = 27:

[tex]\displaystyle{27=-16t^2+62t+6}[/tex]

Solve for t:

[tex]\displaystyle{27-6=-16t^2+62t}\\\\\displaystyle{21=-16t^2+62t}\\\\\displaystyle{16t^2-62t+21=0}[/tex]

Since the equation is quite complicated and more time-consuming to solve, i'll skip the factoring or quadratic part:

[tex]\displaystyle{t=0.375, 3.5}[/tex]

After done solving the equation, you'll get t = 0.375 and 3.5 seconds. These solutions are valid since both are positive values and time can only be positive.

Hence, it'll take 0.375 and 3.5 seconds for a ball to reach 27 feet.

The data represent the age of world leaders on their day of inauguration. Find the​ five-number summary, and construct a boxplot for the data. Comment on the shape of the distribution.

Answers

The five-number summary is: 41, 56, 65, 67, 69.

The box plot that represents the data is: option B.

Correct statement for the shape of the distribution is: B. the distribution is skewed to the left.

What is the Five-number Summary?

The five-number summary is a five data value that describes the distribution of a data set, which include: lower and upper quartiles, minimum and maximum values, and the median of the data.

The five-number summary is used to construct a box plot.

Given the data, 65, 56, 67, 68, 66, 66, 67, 69, 48, 57, 59, 68, 59, 41, 44, the five-number summary for the data is:

Minimum: 41Quartile Q1: 56Median: 65Quartile Q3: 67Maximum: 69

This means that the box plot that will represent this data will have a box that ranges between 56 and 67, and the data at both whiskers will be 41 and 69, while the data at the point where the vertical line divides the box would be 65.

Thus, the box plot that represents the data is: option B.

The median is closer to the right of the third quartile/upper quartile, therefore: B. the distribution is skewed to the left.

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What is the area of a desktop that is 2 1/2 feet by 5 feet?

Answers

The area of the desktop is 12. 5 feet square

How to determine the area

The formula for area of a rectangle;

Area = length × width

Length = 2. 5 feet

Width = 5 feet

Area = 2. 5 × 5

Area = 12. 5 feet square

Thus, the area of the desktop is 12. 5 feet square

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what is the range if the given function?

Answers

Answer:

Second option

Step-by-step explanation:

The range is the set of output values a function can take. As shown in the table, as x is substituted in, y is the corresponding value.

explain why x squared = 16 has two solutions. What are the solutions.

Answers

A negative number * another negative number gives a positive value

A positive number * another positive number also gives a positive value

The solutions are -4, 4


Hope this helps :)

I need help with the slope

Answers

Answer:

Line A

Step-by-step explanation:

Hello!

Given that the x-values is the time in minutes, and the y-axis is the number of dishes stacked, for every minute, the line should go up by 7.

This means, that the value of y when x is 1 should be 7. The line that follows this rule is Line A. For every minute, 7 dishes are stacked.

The answer is Line A.

A study showed that low intenstisy vibration therapy reduce pain levels in patients with fibromyalgia. During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session. Another study is being design to examine whether low intensity vibration therapy also reduces pain in patients suffering from ruptured disks at the lumbar region of the back. Three hundred male patients are subjects the new study. Part A: What is an appropriate design for the new study? Include treatments used, method of. treatment assignment, and variables that should be measure
Part b: if the study consists of 150 male and 150 female patients instead of 300 male patients would you change the study design if so, how would you modify your design? if not, why not?
Part c: could your design be double blind

Answers

Answer:

I didn't got the question well

Given the drawing as shown below and that plla, name a pair of
alternate interior angles.
le
A
B
C
D
Lc = 4f
Zb and Ze
Zd=48
Zd= Le
d
do
8
9

Answers

Answer:

Angle D & Angle E

Step-by-step explanation:

Angle C & Angle F are ALTERNATE EXTERIOR angles.

Angle B & Angle E are CONSECUTIVE angles.

Angle D & Angle G are CORRESPONDING angles.

HELP ME PLEASE
LOOK AT IMAGE

Answers

Answer:

the answer is congruent making d midpoint

The measure of the second angle of a triangle is twice as large as the measure of the first measure of the third angle is 30° less than the sum of the measures of the other two angles find measure of each angle

Answers

Applying the triangle sum theorem, we have:

First angle measure = 35°

Second angle = 70°

Third angle = 75°

What is the Triangle Sum Theorem?

According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.

First angle measure = x

Second angle = 2x

Third angle = (2x + x) - 30 = 3x - 30

x + 2x + 3x - 30 = 180 [triangle sum theorem]

6x - 30 = 180

6x = 180 + 30

6x = 210

x = 210/6

x = 35

First angle measure = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 3x - 30 = 3(35) - 30 = 75°

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23 1/2% as a mixed decimal (as a percent)

Answers

Answer: 23,5%

Step-by-step explanation:

[tex]23\frac{1}{2} %[/tex]% = [tex]\frac{47}{200}[/tex] = 0,235 = 23,5%

A six sided die, a 20 sided die, and a 12 sided die are rolled, what’s the probability of all three happening. Showing 3 on the first die, showing either 19 or 20 on the second die, and showing an odd number on the third die

Answers

The probability of all three events happening when the dies are rolled is; 0.0083

What is the Probability of Rolling a Die?

A) On the first die, it has 6 sides and 3 must come out, that is, 1 event out of 6 possible, therefore the probability is: 1/6

B) On the second die, it has 20 sides and if 19 or 20 can come out, that is 2 events out of 20 possible, so the probability is: 2/20 = 1/10

C) On the third die, which is 12 sides, an odd number can come out. The odd numbers would be 1, 3, 5, 7, 9, 11; i.e, 6 events out of 12 possible numbers.

Thus, the probability would be: 6/12 = 1/2

The final probability would be;

(1/6) * (1/10) * (1/2) = 0.0083

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Which point do the graphs of f and g have in common?

Answers

The point that the graphs of f and g have in common are (1,0)

How to get the points?

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0).

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Answer:

Its (1,0)

and the second one is A. F

Step-by-step explanation:

If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m?

m < 9
m > 9
m ≤ 9
m ≥ 9

Answers

The inequality which shows all possible values of m is; m < 9.

Which inequality best shows all possible values of m?

It follows from the task content that the variable in discuss, m is described as less than 9.

On this note, the most appropriate inequality to represent the set of all possible values of m is; m < 9.

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A family has two cars. The first car has a fuel efficiency of miles 15 per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 975 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?

Answers

The first car consumed 25 gallons of fuel while the second car consumed 30 gallons of fuel.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the first car consumption and y represent the second car consumption, hence:

x + y = 55   (1)

Also:

15x + 20y = 975   (2)

From both equations:

x = 25, y = 30

The first car consumed 25 gallons of fuel while the second car consumed 30 gallons of fuel.

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1. Functional writing (20marks) Just after a few days of being in a secondary school, you have visited a national park, you have played a friendly matched against another school, and done your first exams. Write a letter to your parent/guardian briefing them about these developments. Part A: Using the Class Methods 1. Examine the Python statements in the file named "lab10a. Py", then extend that program to do the following tasks: a. Display each players hand after the first card has been played from each hand. B. Display the second card dealt to each player and compare them. C. Display each players hand after the second card has been played from each hand. D. Display the last card dealt to each player and compare them. Here is the additional output after those modifcations: Second card dealt to player #1: Q Player #1 hand: [7, 10, 7] Second card dealt to player #2: Q Player #2 hand: [K, 2, 8] Last card in hand of player #1: 7 Last card in hand of player #2: 8 8 of higher rank than 7 Note on Mimir testing: you will notice that the symbols for the suits are not printed in the Mimir tests instead the letters hcds are used. That is because Mimir cannot handle the symbols. You do not need to do anything about thatit is built into the cards. Py that we use for testing A. Classification B. Explanation plastics are insulators of heat and there fore, plastics can somehow maittain thetemperature inside tha water jug consider an i-node that contains 9 direct entries and 7 singly-indirect entries. assume the block size is 2^9 bytes and that the block number takes 2^2 bytes. compute the maximum file size in bytes. a population of n = 7 scores has a mean of = 10. if one score with a value of x = 4 is removed from the population, what is the value for the new mean? group of answer choices a 1900 kgkg car traveling at a speed of 17 m/sm/s skids to a halt on wet concrete where kkmu_k = 0.60. For these situations, state which measure of central tendencymean, median, or modeshould be used.a. The most typical case is desired. Modeb. The distribution is open-ended Medianc. There is an extreme value in the data set. Mediand. The data are categorical. Modee. Further statistical computations will be needed. Meanf. The values are to be divided into two approximately equal groups, one group containing the larger values and one containing the smaller values. If the results of each game are decided by fair coin flip, what is the probability that a given team i is a k-winner? If event E and F form the whole sample space, S, Pr(E)=0.7, and Pr(F)=0.5, then pick the correct options from below. Pr(EF) = 0.2 Pr(EIF)=2/5. Pr(En F) = 0.3 Pr(E|F)=3/5 Pr(E' UF') = 0.8 Pr(FE) = 4/7 Why do tropical cyclone Florence develop in late summer Calculate what the expected voltage is across the capacitor and resistor using the peak to peak voltage of 4 V and frequency of 1000 Hz. (you do not need to change to RMS voltage - just use 4 Vpqd0" as the input voltage. (080 J. 'JAMF 3. 14 LG -board workstation Serial # Date: Lab Final 680 Figure 1. Series AC R-C Circuit. the capacitor and resistor using the peak to . (you do not need to change to RMS voltage- fill in the blank. ___ are expanding the possibilities of data displays as many of them allow users to adapt data displays to personal needs. consider two random variables x and y with joint pmf given by pxy(k,l)=12k l,for k,l=1,2,3,... show that x and y are independent and find the marginal pmfs of x and y. find p(x2 y210) Consider the reaction described in the first problem. First, some notation: H+H H2: n1 = density of free H atoms = N1/V n2 = density of H2 molecules = Nz/V N = total number of particles = N1 + N2 F = total free energy = F1+F2 = free energy of all free H atoms (F1) plus the free energy of all H2 molecules (F2) Choose expression(s) that can be used to calculate the equilibrium state of the reaction. A. (F1/N1) .V=0 B. (F2/N2) .V=0 C. (F/N2) .V=0 D. (F/N1) .V=0 Why is the banks recent borrowing of 30,000 gold napoleons a significant detail? find the first four terms of the sequence given by the following an= 8(2)^n-1 , n= 1,2,3 Wildhorse Co. issued$720,000,10-year,5%bonds at 103. (a) Prepare the journal entry to record the sale of these bonds on January 1, 2025, (List all debit entries before credit entries, Credit account titles are outomatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) let be the part of the plane 3x 4y z=1 which lies in the first octant, oriented upward. find the flux of the vector field f=3i 3j 1k across the surface s. In which of these areas would you be most likely to find the Highest concentration of people who practice Hinduism? why don't plasmids with the cloned gene have a complete lac-z gene?