What is the horizontal asymptote of f/x )= 4 x?

Answers

Answer 1

The given equation of the horizontal asymptote is y=0

Because there is not a rational expression so there is no horizontal asymtotes.The given equation would be linear because degree of given function is 1.

what is an Asymptote?

An asymtote is a line being approached by a curve but never touching the curve at any finite distance.It is a line that the graph approaches as either x or y in positive or negative infinity.

How do you find horizontal asymptotes?

The horizontal asympototes of a function can be determined by looking at the degree of the numerator and denominator.if we say N is the degree of numerator and Dis the degree of denominator.So it will be N<D.Then horizontal asymptotes will be y=0

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Related Questions

What is the value of TT in math?

Answers

Answer:

22/7 or 3.14

the value of pie is 22/7 or if you write it in decimals it will be 3.14.

Carlos plays an arcade game. The scatter plot shows his score and the number of minutes
he plays. A good line of fit is drawn through the points (6, 50) and (12, 80).
What is the slope of the line of fit?
m =?

Answers

Answer:

The slope of this line (m) is 5

Step-by-step explanation:

Slope is the change in y over the change in x.

The y values are 80 and 50 (6,50) (12,80)  You find the change by subtracting these values

80 -50 = 30

The x values are 12 and 6 (6,50) (12,80)  You find he change by subtracting these values.

12 - 6 = 6

[tex]\frac{30}{6}[/tex]  this reduces to 5

The difference between a number p and 6 is -14
Equation:
Solution:p=

Answers

The value of p in the equation p - 6 = -14 is -8.

What is the value of p in the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, the difference between a number p and 6 is -14.

It should be noted that the equation van be illustrated as:

p - 6 = -14

Collect like terms

p = -14 + 6

p = -8

The value of p is -8.

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The total of the age of Ann, Bob and Chri i 31 year. What will the total of their age be in three year’ time?

Answers

The total of their age be in three years time is 40 years.

As per the given data:

The total of the age of Ann, Bob and Chri is 31 years.

Let the present age of Ann is 'x' years.

Then the age of Ann after 3 years will be x+3

Let the present age of Bob is 'y' years.

Then the age of Bob after 3 years will be y+3

Let the present age of Chri is 'z' years.

Then the age of Chri after 3 years will be z+3.

The total of the age of Ann, Bob and Chri is 31 years.

x + y + z = 31.....(i)

The total of the age of Ann, Bob and Chri after 3 years is ( x + 3 + y + 3 + z + 3 ) years.

= ( x + 3 + y + 3 + z + 3 )

= ( x + y + z + 9 )

From equation (i)..... ( x + y + z = 31 )

= 31 + 9

= 40 years

Therefore the answer is 40 years.

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Compare kx <5 and kx =5 for any nonzero number k.
(Hint: Pick a value of k and discuss the graph of the inequality versus the graph of the equation.)

Answers

The graph of  k x = 5 will be a line parallel to Y axis and the graph of k x < 5 will be the region where the value of x does not exceed 5/k.

What is Linear Inequality?

Linear Inequalities are the expressions which have a left and a right hand side connected with inequality signs like >, <, ≥ and ≤.

Consider k x = 5

⇒ x = 5/k

This means that, for a nonzero constant k, the value of x will be the same throughout, which is 5/k.

If k = 1, then the value of x will be 5 throughout.

If k = 2, then the value of x will be 5/2 = 2.5 throughout.

and so on.

So the graph of k x = 5 will be a line parallel to the Y axis passing through the point x = 5/k for some constant k.

Now let us consider k x < 5.

⇒  x < 5/k

This means that for any nonzero constant k, the value of x will not be equal or never exceed 5/k.

If k = 1, then the value of x will be less than 5 throughout.

If k = 2, then the value of x will be less than 5/2 = 2.5 throughout.

and so on.

So the graph of k x < 5 includes the region where value of x does not exceed 5/k.

Hence the graph of  k x = 5 and k x < 5 is a line parallel to Y axis and the region which does not exceed 5/k respectively.

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what does 12 times a number g mean?

Answers

Answer:

The Answer is 12 g because 12* g =12g

1.5(x-5)=1 solve for x

Answers

Answer: 5.66

Step-by-step explanation:

1.5(x-5)= 1

1.5x - 7.5 = 1

Add 7.5 on both sides

1.5x = 8.5

Divided 1.5 into both sides

x = 5.66

What is y =- 3 on a graph?

Answers

Answer:

A line.

Step-by-step explanation:

Graphing y =  -3  will give you a horizontal line 3 units below the x-axis.

To imagine this, we can create a bunch of points, each with a y coordinate of -3. For example: (-2, -3), (-1, -3), (3, -3), (6,-3). Graphing these will lead to a horizontal line!

How do you solve a 2x2 matrix 2x2?

Answers

To solve a 2x2 matrix equation of the form Ax = b, where A is a 2x2 matrix, x is the variable (a column vector), and b is a known column vector.

You can use the following steps:

Find the inverse of the matrix A. This will allow you to multiply both sides of the equation by A^(-1), which will isolate the variable x on the left side of the equation.To find the inverse of a 2x2 matrix A, use the following formula:

A^(-1) = (1/det(A)) * adj(A)

where det(A) is the determinant of matrix A and adj(A) is the adjugate of matrix A. The transposition of a matrix's cofactor matrix is adjugate. The cofactor matrix is a matrix of the determinants of the minors of the original matrix, each of which is multiplied by a cofactor (-1)^(i+j). The minors of a matrix are the determinants of the square submatrices formed by deleting one row and one column from the matrix. The determinant of a matrix is a scalar value that can be computed from its elements.

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Help multiple choice math. Fx

Answers

Answer:

Last one

Step-by-step explanation:

a pet shop pays $40 for a dog bed, and then sells it to a customer for $75. what is the percent markup

Answers

Answer:
46.6% or 47% simplified
Step-by-step explanation:
75-40=35. 35x100=3500. 3500 divided by 75 = 46.6 or 47%.

Is algebra 8th or 9th grade?

Answers

Algebra is advised for ninth grade, and pre-Algebra is taught in eighth grade, according to the Common Core standards that California enacted two years ago and is just now starting to apply.

what is algebra ?

In algebra, definite or fixed numbers with values like 2, 9, 0.068, etc. are used. Introduction to algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are only a few of the many sub-disciplines of algebra.

here ,

The option to take it in the eighth grade may be given to students who demonstrated extraordinary potential in the subject.

Algebra is often taught in the eighth grade in many schools today, while certain students who meet a certain threshold can finish the subject in the lower grades.

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Are all squares with equal sides congruent?

Answers

Answer:

Squares have to have the same shape and size to be congruent. Therefore, not all squares are congruent, since not all of them are the same size. … This means that they have the same shape, although not necessarily the same size.

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Step-by-step explanation:

Which tool is used to make chart 1 look like chart 2 in Excel?

Answers

The answer is data labels tool.Data Labels tool is used make chart 1 look like chart 2.When you select the chart and right click and select the option to add data labels.So the required labels will be displayed.

what is excel chart?

A chart is a visual display of data in which the data is displayed by symbols such as bars in a bar chart or lines in a chart.It can help people to understand information easily.

How many types of charts?

There are following types  of charts.

column charts

line charts

bar  charts

area charts

pie charts

Now for opening chart tools in excel.you can

click the insert tab and then click the arrow next to chart.click chart type and then double click the chart you want to add.So you can insert chart into excel sheet.

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What is the nature of roots of 2x² 6x 3 0?

Answers

Answer:

The roots are imaginary.

Step-by-step explanation:

⭐ What is "the nature of the roots"

The nature of the roots are how the roots of a quadratic exist.

⭐What are the different types of "the nature of the roots"?

The roots could be real numbers, distinct, and rational/irrationalThe roots could be real, equal, and rationalThe roots could be imaginary

⭐How do we determine "the nature of the roots"?

Substitute the values of the coefficients (a,b, and c) of a quadratic equation into the quadratic formula( [tex]x =\frac{ -b+/-\sqrt{b^2-4ac} }{2a}[/tex])If the value of the discriminant in the quadratic formula ([tex]b2-4ac[/tex])>0: the roots are real numbers, distinct, and rational/irrationalIf the value of the discriminant in the quadratic formula ([tex]b2-4ac[/tex])=0: the roots are real, equal, and rationalIf the value of the discriminant in the quadratic formula ([tex]b2-4ac[/tex])<0: the roots are imaginary

To solve this problem, substitute the values of the coefficients of the given quadratic equation into the quadratic formula:

[tex]x =\frac{ -6+/-\sqrt{6^2-4(2)(30)} }{2(2)}[/tex]

Now, compute only the discriminant ([tex]b^2-4ac[/tex]).

[tex]b^2-4ac = 36-4(60)[/tex]

[tex]b^2-4ac = 36-240[/tex]

[tex]b^2-4ac = -204[/tex]

[tex]b^2-4ac[/tex]< 0. Therefore, the roots are imaginary.

What are the multiples of 42?

Answers

The first 10 multiples of 42 are as follows:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420.

What are multiples?

In mathematics, multiplying any number by integer results in a multiple.

In other terms, it can be argued that b is a multiple of the supplied two numbers, a, and b if b = na for some integer n, known as the multiplier.

This is comparable to saying that if an is not zero, then b/a is an integer.

When a and b are both integers and b is a multiple of a, then an is said to be a divisor of b.

So, the multiples of 42 are:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420

Therefore, the first 10 multiples of 42 are as follows:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420.

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Correct question:

What are the first 10 multiples of 42?

There are 11 counter in the bag. 8 of the counter are green. 3 of the counter are blue. Sid take at random two counter from the bag. Work out the probability that Sid take one counter of each colour

Answers

The probability that Sid takes one counter of each color is 0.5.

To find the probability that Sid takes one counter of each color, we need to know the total number of possible outcomes when Sid takes two counters from the bag. Since the order in which Sid takes the counters does not matter, there are two cases to consider:

Sid takes a green counter first and a blue counter second. There are 8 green counters and 3 blue counters, so there are a total of 8 * 3 = <<8*3=24>>24 outcomes in this case.

Sid takes a blue counter first and a green counter second. There are 3 blue counters and 8 green counters, so there are a total of 3 * 8 = <<3*8=24>>24 outcomes in this case.

In total, there are 24 + 24 = <<24+24=48>>48 outcomes when Sid takes two counters from the bag.

To find the probability that Sid takes one counter of each color, we divide the number of successful outcomes (24 in each case) by the total number of outcomes (48). This gives us a probability of 24/48 = 1/2 = 0.5.

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what is the 95% confidence interval for the difference in the two means (construction site minus undisturbed location)?

Answers

The 95% confidence interval for the difference in the two means = (-2.56 , 0.16)

What is Confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given,

Sample statistics                         size(n)               mean(x)                s.d(s)

Construction site                           16                  x₁ = 5.584               1.812

Undistributed Location                 16                  x₂ = 6.789               1.945

Standard error = 0.665

Degree of freedom = 30

Critical T-value for 95% confidence interval is 2.0423

The 95% confidence interval for the difference in the two means

(construction site - undistributed location)

= x₁ -x₂ ± (t-value) (standard error)

= 5.584 - 6.786 ± (2.0423) (0.665)

= -1.2020 ± 1.358130

= (-1.2020 - 1.358130 , -1.2020 + 1.358130)

= (-2.56 , 0.156)

= (-2.56 , 0.16)

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Given,

Sample statistics                         size(n)               mean(x)                s.d(s)

Construction site                           16                  x₁ = 5.584               1.812

Undistributed Location                 16                  x₂ = 6.789               1.945

Standard error = 0.665

Degree of freedom = 30

Critical T-value for 95% confidence interval is 2.0423

The 95% confidence interval for the difference in the two means

(construction site - undistributed location)

= x₁ -x₂ ± (t-value) (standard error)

= 5.584 - 6.786 ± (2.0423) (0.665)

= -1.2020 ± 1.358130

= (-1.2020 - 1.358130 , -1.2020 + 1.358130)

= (-2.56 , 0.156)

= (-2.56 , 0.16)

How many solutions will the linear equation 2x 5y 7 has?

Answers

The linear equation 2x + 5y = 7 has  infinitely many solutions.

In this question we need to determine the number of solutions of the linear equation 2x + 5y = 7.

We know that an equation of the form ax + by + c = 0, where a, b and c are real numbers such that a ≠ 0 and b ≠ 0, is called as a linear equation in two variables.

Also as we know a linear equation in two variables has infinitely many solutions. The graph of linear equation in two variables is a straight line. Every point on the straight line represents a solution of the linear equation.

Here we have a linear equation in two variables 2x + 5y = 7.

By rearranging given linear equation we get,

5y = 2x - 7

y = (2x - 7)/5

Here we will get different values of y for different values of x

Therefore, the linear equation has infinitely many solutions.

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The ratio of soccer balls to basketballs at Andrew’s school is shown on the ratio table. What number completes the ratio table to make an equivalent ratio? [Type your answer as a number.]

soccer balls 30 ?
basket balls 25 5

Answers

Answer:

10

Step-by-step explanation:

30-25=5

10-5=5

30:10

25:5

What is the range of f )= 4?

Answers

Answer: the range is 4

Step-by-step explanation:

Find the slope between each points.
(-8,18) and (-14,-3)

Answers

Answer:

the slope between the two points is 3.5.

Step-by-step explanation:

To find the slope between two points, you can use the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the coordinates for the two points, we get: slope = (-3 - 18) / (-14 - (-8)). Simplifying the expression, we get: slope = -21 / -6Which simplifies to slope = 3.5, So slope between the two points is 3.5.

Answer:

Slope: 7/2

Step-by-step explanation:

Slope formula:

m=(y2-y1)/(x2-x1) ==> where m=slope, (x1, y1), (x2, y2)

(x1, y1), (x2, y2) ==> (x1=-8, y1=18), (x2=-14, y2=-3)

m=(-3-18)/(-14-(-8))  ==> plugin y2=-3, y1=18  and  x2=-14, x1=-8

m=(-(3+18))/(-14+8)  

m=(-21)/(-6)  ==> simplify

m=21/6  ==> m=7/2

NEED HELP!!!
The graph shows a linear relationship between y, the number of bicycles, and x, the number of tires.
Which statement is true?

Select TWO correct answers.

A. Range: {0, 1, 2, 3, 4, 5}

B. Domain: {0, 1, 2, 3, 4, 5}

C.Range: {0, 2, 4, 6, 8, 10}

D. Domain: 0 ≤ x ≤ 5

E. Domain: {0, 2, 4, 6, 8, 10}

F. Range: 0 ≤ y ≤ 10

Answers

The Range={0, 1, 2, 3, 4, 5}

Domain={0, 2, 4, 6, 8, 10}

So, options A and E are correct.

What is meant by range and domain?

Its arguments are a group of values that can be plugged into a function's domain. This set includes the x values for a function like f(x). Its range refers to the set of digits that the function considers. The function prints these values in the order they are entered after the insertion of an x value.

Another approach to defining the scope and range of functions is through the use of graphs. Since "domain" refers to the set of possible input values, the full set of input values shown on the x-axis is the domain of a graph. On the y-axis, the range's varied output values are visible.

From the graph the points are (0, 0), (1, 2), (2,4), (3,6), (4,8), (5,10)

So,  Range={0, 1, 2, 3, 4, 5}

Domain={0, 2, 4, 6, 8, 10}

Therefore, options A and E are correct.

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suppose i work at a call center and i have to track the urgency of the incoming calls. in one day, i had 20 calls. 5 were classified as urgent and 15 were classified as no rush. what is the mode of this data?

Answers

The mode of the data at the call center will be 15 which are the non urgent s that was received.

What is the mode of a data set?

The mode of a data set is defined as the value of the set of data that appeared or occurred the most. When two values have the same number of occurrences or frequency, it is said that the data set is bimodal or has two modes.

From the scenario given,

The number of calls received in a day = 20 calls.

The number of calls that are urgent = 5

The number of calls that are not urgent = 15

Therefore, the mode of this data set would be the number of non urgent calls which is 15.

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the probability that the same kayla will score above 80% on a mathematics test is 0.70. kayla will take four tests this semester. we want to find the probability she will score above 80% on exactly three out of the four tests. what is the probability of kayla scoring above 80% on exactly three out of the four tests?

Answers

The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

Probability

Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:

0.6 x 0.6 x 0.6 x 0.4 = X

0.216 x 0.4 = X

0.0864 = X

0.0864 x 100 = 8.64

Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

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find the indicated critical value z0.11(round to two decimal places as needed.

Answers

The indicated critical value of z₀.₁₁ is 0.54.

What does it mean round to two decimal places?

The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or the level of statistical significance for a given test.

The critical value of z₀.₁₁ is z₀.₁ ₊ ₀.₀₁ = 0.5438

The round to two decimal places of 0.5438  is 0.54.

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For the polynomial function f(x) = -2x4 + 8x2 - 8, find all local and global extrema.

A.) No global extrema exist.

B.) The only extrema point is (0, -8).

C.)The local and global extrema are: (-√2.0), (0.-8) and (√2.0).

D.)No local extrema exist.

Answers

The derivative for [tex]y=eu(x)[/tex]; [tex]u(x)[/tex] is a function in terms of [tex]x[/tex] is [tex]\frac{dy}{dx}[/tex]=[tex]eu'(x)[/tex]+ [tex]u(x)e[/tex].

Definition of derivative-A derivative is the rate of change of a function with respect to a certain variable . Derivatives are fundamental to the solution of problems in calculus and differential equations.

There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :

Power Rule.

Sum and Difference Rule.

Product Rule.

Quotient Rule.

Chain Rule.

Given: [tex]y=eu(x)[/tex]

Explanation:-This equation can be solved using the product rule of derivatives .

According to the product rule derivative of uv will be taken as -

                                            u(v)' + v(u)'

where (') represents derivative of the variable.

Therefore accordingly, [tex]y=eu(x)[/tex]

Differentiating with respect to [tex]x[/tex],

[tex]\frac{dy}{dx} =e(u(x))'+u(x)(e')[/tex]

[tex]\frac{dy}{dx} =eu'(x)+u(x)e[/tex]

So, finally the derivative of the function in terms of x is [tex]\frac{dy}{dx}[/tex] = [tex]eu'(x)+[/tex][tex]u(x)e[/tex]

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Is 5 A All real number?

Answers

Yes, 5 is a all real number.

What is real number?

A real number is a number that can take on any value on the real number line, which is an infinite line that extends from negative infinity to positive infinity. Real numbers are used in mathematics to represent quantities such as distance, area, and time. They can also be used to represent irrational numbers, such as pi, and numbers with recurring decimals, such as 1/3.

A real number is any number that is either a rational number (fractions and whole numbers) or an irrational number (numbers that cannot be expressed as a fraction or a whole number). This includes all integers, fractions, and decimals. 5 is an integer, so it is included as a real number.
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What are the 4 types of discontinuity?

Answers

Four types of discontinuity of a function are as follow:

Jump discontinuity , infinite discontinuity, endpoint discontinuity, and Mixed discontinuity.

As given in the question,

Four types of discontinuity are given by :

1. Jump discontinuity :

In this type of discontinuity both side of limit that left hand side and right hand side limit exist but both represents the different value .

2. Infinite discontinuity :

In this case both the side of limit exist but are reaches to infinity.

3. Endpoint discontinuity:

In this case only one side either left or right side of limit exist.

4. Mixed discontinuity:

In this case at least one side of limit either right or left does not exist.

Therefore, the four types of discontinuity are :

Jump discontinuity , infinite discontinuity, endpoint discontinuity, and Mixed discontinuity.

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In which number does the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045?
A. 640,488
B. 814,694
C. 28,367
D. 56,808

Answers

The number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is A. 640,488.

How to illustrate the place value?

It should be noted that a place value is the value that is represented based on the position of a number.

In this case, the digit of 6 in 62,045 is 60000. From the options, the digit of 6 in 640488 is 600000. This is 10 times the value.

Therefore, the number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is 640,488. The correct option is A.

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For linear function `f`,`f(2)=0` and `f(4)=-6`. Write function `f` in slope-intercept form. Is 1 a real number? What goes up during stagflation? Pumpkin Transformation Move the figures according to the compositions of transformations given for each figure. Use very light pencil to keep track of each transformation as you work. Only darken in the final image of each figure. YA 1. Reflect: over the line x = -4 Translate: (x,y) (x-4, y-18) Reflection AC, 2. Rotate: 180 Translate: (x,y) (x-3, y + 4) 3. Reflect: over the line y = x + 11 Rotate: 180 4. Translate: (x, y) (x+6, y-10) Rotate: 90 clockwise Reflect: over the line y = -11 5. Rotate: 270 Reflect: over the line y = -10 Translate: (x, y) (x-12, y) 6. Reflect: over the y-axis Reflect: over the line y = x Translate: (x, y) (x,y-3) 1 5 2 10 -10 Why did the aunt have to use the word don't show of them? Search the internet and find information on major technology projects. Then, assign yourself as a project manager for this project and start managing it by: o Identifying the stakeholders for the project. o Identify the business, organization, and technology aspects related to the project. o Define the personality of the organization undertaking the project by applying the four frames of organizations. o Choose the organizational structure that in your opinion will suit the project and can you provide a justification for why you selected this type of structure? o Which project lifecycle model is most suited for the project? Provide a justification for your answer A networked application on the web obtains information from various sources and combines them to show a result to the user, it may be using: a. Service oriented architecture b. Ethernet OC. Peer-to-peer computing Consider the following statements: Statement 1: Drive-by hacking is legal Statement 2: War driving is illegal O a. Statement 1 is true, Statement 2 is false Ob.Statement 1 is true, Statement 2 is true OC. Statement 1 is false, Statement 2 is true d. Statement 1 is false, Statement 2 is false a solenoid 4.00 cm in diameter and 20.0 cm long has 500 turns and carries a current of 15.0 a. calculate the magnetic flux through the circular cross-sectional area of the solenoid. What are the rights in Article 3? What does the farmhouse represent in the story Animal Farm? Who controls things in a command economy? write what are the layers over the wall of blood vessels,how do these layers differ among arteries and veins? How do i know how many valence electrons a metal has? If f(x)\ =\ x^{2}+3f(x) = x 2 +3 , find f(-2)f(2) . A researcher designs an experiment to investigate whether soil bacteria trigger the synthesis of defense enzymes in plant roots. The design of the experiment is presented in Table 1. For each group in the experiment the researcher will determine the average rate of change in the amount of defense enzymes in the roots of the seedlings Table 1. An experiment to investigate the effect of soll bacteria on plant defenses Group Number of Seedings Type of Soil Treatment Solution 1 10 Sterlepotting sol Contains actively reproducing soll bacteria 2 10 Sterile potting sol Contains heille soll bacteria 3 10 Sterle porting soil Contains no bacteria Which of the following statements best helps justify the inclusion of group 2 as one of the controls in the experiment? A) I will show whether the changes observed in group 1 depend on the metabolic activity of Boll bacteria B) will show whether the changes observed in group 1 depend on the type of plants used in the experiment. C) It will show the average growth rate of seedings that are maintained in a nonsterile environment D) I will show the changes that occur in the roots of seedlings following an infection by soll bacteria. What was Douglass famous quote about men and chains? barry's goal is to obtain a 4.0 gpa this semester. he completes several extra-credit assignments to ensure success but doesn't internalize a lot of what he has learned. this is an example of which type of orientation? What is the most popular sport in Cuba and the Dominican Republic? What does addends mean in math? Last year, there were 113 pies baked for the bake sale. This year, there were k pies baked. Using k, write an expression for the total number of pies baked in the two years.