What is the linear equation represented by the graph?

What Is The Linear Equation Represented By The Graph?

Answers

Answer 1

The linear equation represented by the graph is y = 8x.

Describe Linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional space. It can be written in the form of:

y = mx + b

where y and x are variables, m is the slope of the line, and b is the y-intercept of the line (the point where the line crosses the y-axis).

The slope, represented by "m", describes the steepness of the line, while the y-intercept, represented by "b", is the point where the line intersects with the y-axis.

Linear equations can also be written in other forms, such as the standard form:

Ax + By = C

where A, B, and C are constants, and x and y are variables. In this form, the equation describes a line in terms of its x and y intercepts.

Linear equations are used in a variety of fields, including mathematics, physics, engineering, economics, and more. They are useful for describing and predicting relationships between variables that exhibit a linear pattern.

The equation represented by the graph is a linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we can use the formula:

m = (y2 - y1)/(x2 - x1)

Let's choose the first two points (0.5, 4) and (1, 8):

m = (8 - 4)/(1 - 0.5) = 8

So, the slope is 8.

To find the y-intercept, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Let's choose the point (0.5, 4) and the slope we just found:

y - 4 = 8(x - 0.5)

y - 4 = 8x - 4

y = 8x

So, the linear equation represented by the graph is y = 8x.

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Related Questions

What is the degree of 7c3d2

Answers

The degree of the expression 7c³d² is 2

How to determine the degree

From the question, we have the following parameters that can be used in our computation:

Expression = 7c³d²

The degree of an expression is the highest power in the expression

In this case,

7c³ =  Constant

d² = Variable

The highest power of the variable is 2

Hence, the degree is 2

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PLEASE HELP 25 POINTS!! NO LINKS

Answers

Answer:

C i think

Step-by-step explanation:

PLEASE ANSWER ASAP THANKS

Answers

The value of x is 97.

What are corresponding angles?

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

From the figure,

(x - 5) and (x - 9) forms a straight angle.

This means,

x - 5 + x - 9 = 180

Solve for x.

2x - 14 = 180

2x = 180 + 14

2x = 194

x = 97

Thus,

The value of x is 97.

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please help me on this

Answers

Answer:

[tex]\frac{2}{30}[/tex]

Step-by-step explanation:

[tex]\frac{4}{6}-\frac{3}{5} \\ \\ =\frac{2}{3}-\frac{3}{5} \\ \\ =\frac{10}{15}-\frac{9}{15} \\ \\ =\frac{1}{15} \\ \\ =\frac{2}{30}[/tex]

It would be 1/15 but thats not an option, if you need help try math  way doht  com, thats the best thing u can use for math problems

what is c over 2 < -0.75=

Answers

The value of c lies in the interval [tex](-\infty, -1.5)[/tex]

What is inequality?

Inequality is a statement that shows the relationships the two expressions are not equal. It is defined by the symbols like <, >, ≤, ≥.

[tex]\frac{c}{2} < -0.75[/tex]

To find the value of c:

[tex]\frac{c}{2} < -0.75[/tex]

Multiply both sides by 2 we get,

[tex]2\frac{c}{2} < (-0.75)*2[/tex]

⇒c < -1.5

Therefore c<-1.5 is the solution for the given inequality.

It can also be represented in the interval form.

This is given in the interval notation [tex](-\infty, -1.5)[/tex]

Hence, the value of c lies in the interval [tex](-\infty, -1.5)[/tex]

Complete question:

What is the values that c can take when  [tex]\frac{c}{2} < (-0.75)[/tex]?

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based on the t-test assuming unequal variances on the t-testunequal worksheet, is the difference in mean mpg between 4 and 8 cylinder cars statistically significant?O Yes, the means appear to be similar. O No, the ratio of the variances is not greater than 4:1. O No, the calculated t Stat value is less than the critical t value. O Yes, the calculated t

Answers

When performing a t-test assuming unequal variances, the test statistic is a t-value, which is calculated by dividing the difference between the means of the two groups by the standard error of the difference.

To see if the difference in mean mpg between 4 and 8 cylinder cars is statistically significant, compare the estimated t-value to a critical t-value based on degrees of freedom and desired level of significance. The difference is regarded statistically significant if the estimated t-value is bigger than the crucial t-value.

As a result, the right response depends on the estimated t-value, the crucial t-value, and the level of significance utilized in the test.

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An online app charges $0.99 to download a song and $7.99 membership fee. (A)Write an expression that gives the total cost in dollars to download “s” songs. (B)Then, find the cost of downloading 12 songs. Incorrect work/solutionCorrect work/solution (A) s(0.99 + 7.99) = 0.99s + 7.99s = 8.98s = (B) 8.98(12) = 8.98 x 12 = $107.76 for 12 songs Part A:Explain what this student did incorrectly.

Answers

Answer: The student correctly wrote an expression to find the total cost of downloading "s" songs. The expression is: 0.99s + 7.99. However, they made a mistake when they simplified the expression to 8.98s. The expression should have remained as 0.99s + 7.99, because the $7.99 membership fee does not change regardless of how many songs are downloaded.

In Part B, the student correctly used the expression to find the cost of downloading 12 songs. They multiplied 8.98 by 12 and got the correct answer of 107.76.

Step-by-step explanation:

One way to establish validity of a questionnaire is my measuring:A) The correlation between the score on the questionnaire and another measure of the same conceptB) The alpha value of the reliability coefficientC) How well sunjects perform on the questionnaire at one time compared to another timeD) The consistency by which multiple sunjects are able to complete the questionnaire without error

Answers

The correct option is Option D) The consistency with which several individuals can complete the questionnaire without making an error is one technique to determine a questionnaire validity.

A questionnaire is a sort of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a collection of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Despite the fact that surveys are frequently created so that the answers may be statistically analyzed. Consequently, it may not be practical to conduct a survey using a questionnaire for some demographic groups.

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from 2005 to 2018, the annual investment in renewable energy sources in the united states increased from $11.4 billion to $46.5 billion. calculate the percent change in renewable energy investment in the us from 2005 to 2018.

Answers

To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:

Percent change = ((Final value - Initial value) / Initial value) * 100%

In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:

Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%

= ($35.1 billion / $11.4 billion) * 100%

= 3.085 * 100%

= 308.5%

So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.

The table below shows the ratios of black to white keys on pianos of various sizes.


Black A 18 45 72
White 13 B 65 C


Determine which table has the correct values for A, B, and C.

Black 8 18 45 72
White 13 25 65 105

Black 9 18 45 72
White 13 26 65 104

Black 9 18 45 72
White 13 39 65 117

Black 1 18 45 72
White 13 26 65 104

Answers

Using the given ratios found the values of A, B and C, and completed the table as follows:

Black   9   18       45     72

White  13   26     65    104

What is meant by the ratio?

A ratio in mathematics demonstrates how many times one number is present in another. A ratio is what a fraction looks like when it is written as a:b. A ratio is the comparative or condensed version of two quantities of the same type.

Given the table:

Black   A   18   45   72

White  13   B    65    C

The table represents the ratios of black keys to white keys on pianos of various sizes.

The ratio of keys of the piano always remains constant.

So we can write as follows:

A/13 = 18/B = 45/65 = 72/C

To find A, we take the following ratios.

A/13 = 45/65

On solving, we get

A = 45 * 13 / 65 = 585/65 = 9

To find B, we take the following ratios.

18/B = 45/65

B = 18 * 65 / 45 = 1170/45 = 26

To find C,  we take the following ratios.

72/C = 45/65

C = 72 * 65 / 45 = 104

Therefore using the given ratios we can complete the table using the values of A, B and C,

Black   9   18       45     72

White  13   26     65    104

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-3x² + 2x-5 = y
-x+2=-y

Answers

Answer:     \left(h,\:k\right)=\left(\frac{1}{3},\:\frac{14}{3}\right),\:p=\frac{1}{12\

Step-by-step explanation:

[tex]1\frac{1}{3} :2\frac{1}{3}[/tex]

Answers

Answer:

Given: [tex]1\frac{1}{3} :2\frac{1}{3}[/tex]

To simplify this ratio, convert the mixed fractions into improper fractions:

[tex]\frac{4}{3}[/tex] : [tex]\frac{7}{3}[/tex]

Then to divide ( because ratio = division ) turn around [tex]\frac{7}{3}[/tex] and multiply:

[tex]\frac{4}{3} * \frac{3}{7}[/tex]

Then multiply:

[tex]\frac{12}{21}[/tex]

Finally simplify this fraction by dividing the denominator & numerator by 3:

= [tex]\frac{4}{7}[/tex]

...

Raul is wrapping a cylindrical package with wrapping paper. He has two different packages to choose from:
Package A has a radius of 1.5 inches and a height of 6 inches
Package B has radius of 2 inches and a height of 3 inches

He has 70 in2 of wrapping paper and he will need to cover all sides of the package.

Using the formula SA = 2π
rh + 2π
r2, determine which of the following packages Raul will have enough wrapping paper to cover.

Package A has a surface area of
Choose...
in2. Package B has a surface area of
Choose...
in2.

Raul will have enough paper to wrap
Choose...

Answers

The package that will have enough wrapping paper to cover is package B

Package A has a surface area of 70. 65 in²

Package B has a surface area of 62. 8 in²

How to determine the surface area

The formula for the surface area of a cylinder is expressed as;

SA = 2πrh + 2π

Given that the parameters are;

r is the radiush is the height of the cylinder

For Package A, substitute the values

= 2 × 3.14 × 1.5 × 6 + 2 × 3.14 × (1.5)²

Multiply the values, we have;

= 70. 65 in²

For package B, substitute the values, we get;

= 2 × 3.14 × 2 × 3 + 2× 3.14 × (2)²

Multiply the values

= 62. 8 in²

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a family buys a studio apartment for $140,000. they pay a down payment of $42,000.

a. Their down payment is what percent of the purchase​ price?

b. What percent of the purchase price would a ​$7,000 down payment be?

Answers

Answer:

a: 30%

b: 5%

Step-by-step explanation:

a: (42,000/140,000)*100

b: (7,000/140,000)*100

Kayla has a coupon for $1.50 off the purchase of a toothbrush and toothpaste. The toothbrush is $1.69 and the toothpaste is $2.24. She is also getting some dental floss for $2.39, a toothbrush case for $1.65, and mouthwash for $4.83. She also has a coupon for $.80 off the mouthwash. What is the final price?

Answers

The answer is 10.5, shout out to Kayla for brushing her teeth

You must spend at least $10 at the grocery store to get a free greeting card

Answers

Answer:

I spent 13.32 at the store the other day...?

Step-by-step explanation:

What is the question.

Go to the dollar section and pick out 10 things and then get the gift card

What does p and p hat mean?

Answers

In statistics, p represents the true proportion p hat represents the sample proportion

p represents population that has a certain characteristic or falls into a certain category. It is a fixed, unknown value that we are trying to estimate.

p hat represents the sample proportion, which is an estimate of the true proportion based on a sample of the population. It is calculated by dividing the number of individuals in the sample with the characteristic or in the category by the total sample size.

For example, if we want to estimate the proportion of students who prefer chocolate ice cream, we could take a sample of 100 students and find that 60 of them prefer chocolate.

In this case, p hat would be 60/100 or 0.6. This is our estimate of the true proportion, p, of all students who prefer chocolate ice cream.

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Suppose that n 0 and n 1. Show that the substitution v = y^1-n transforms the Bernoulli equation dy/dx + P (x) y = Q(x) y^n into the linear equation dy/dx +(1-n)p(x)v(x)=(1-n)q(x).

Answers

The substitution, transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x). It is done as:

The equation is in the form  

dy/dx +P(x)y=Q(x)yⁿ,  where P and Q are functions of x or constants, this is called Bernoulli's equation.

Now, we have to substitution using 

[tex]v = {y}^{1 - n} [/tex]

Differentiating both side with respect to 'x'

[tex]v' = (1 - n) {y}^{ - n} y' \\ \frac{dx}{dy} = \frac{1}{1 - n} {y}^{n} v'[/tex]

we get,

[tex]= \frac{1}{1 - n} {y}^{n} v' + p(x)y \\ = q(x) {y}^{n} \\ = v' + (1 - n)p(x) {y}^{1 - n} \\ = (1 - n)q(x)[/tex]

Now, by using 

[tex]v' = {y}^{1 - n} [/tex]

The given equation is expressed as:

[tex]v + (1 - n)p(x)v = (1 - n)q(x)[/tex]

or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)

The Bernoulli equation simply states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a fixed value. The Bernoulli Equation can be viewed as a statement of the conservation of energy principle applicable to flowing fluids.

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From the top of a 450-foot cliff, a hiker looks down at a river below. Her angle of
depression to the near and far banks of the river are 80° and 50° respectively, as
shown in the picture. Based on this information, how wide is the river?

Answers

The width of the river is calculated by the tangent of the angle will be 293 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Observing a river below from the top of a 450-foot cliff, a hiker. Her depression lies at an angle of 80° to the near bank and 50° to the far bank of the river.

The horizontal distance when the angle is 80° is given as,

tan 80° = 450 / x₁

x₁ = 84.64 feet

The horizontal distance when the angle is 50° is given as,

tan 50° = 450 / x₂

x₂ = 377.59 feet

The width of the river is given as,

W = x₂ - x₁

W = 377.59 - 84.64

W = 292.95

W ≈ 293 feet

The width of the river is calculated by the tangent of the angle will be 293 feet.

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What is the scale factor?

Answers

Answer:A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Step-by-step explanation:

What is the scale factor: ratio

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

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Need help, please, thanks!

Answers

The earnings in the simple interest and compound interest for a 5 year period is in the table below where S is for Suzanne and D is for Derrick

            S - annual interest  S - Balance   D - annual interest   D - Balance

Year 1                 147                   3147                      147                    3147

Year 2                294                  3294                     301.2                 3301.2

Year 3                441                   3441                      462.96              3462.96

Year 4                588                  3588                     632.65              3632.65

Year 5                735                   3735                     810.65               3810.65

How to solve simple interest

Simple interest is calculated by the formula

principal x time x rate / 100

In the problem

Principal = $3000

rate = 4.9%

time is varying from 1 to 5

For the first year we have

= 3000 * 1 * 4.9 / 100

= 147

Compound interest the formula is

Principal(1 + rate)^(year) - 1)

For the first year, (the rate is already divided by 100 to get 0.049) we have

= 3000(1 + 0.049)^(1) - 1)

= 147

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Penny is vacationing at the beach and decides to purchase a pair of swim goggles and a
sand bucket which she randomly selects off the shelf. When she realizes that they are
both green, she states that "because she selected a green pair of swim goggles, she was
more likely to select a green sand bucket." Do you agree or disagree with Penny's
statement? Justify your thinking

Answers

Answer: I disagree with Penny's statement. The probability of her selecting a green pair of swim goggles and then a green sand bucket is the product of their individual probabilities. The fact that she selected a green pair of swim goggles does not change the probability of selecting a green sand bucket. Each selection is independent of the other, and the probabilities of each event remain the same. So, Penny's statement that "because she selected a green pair of swim goggles, she was more likely to select a green sand bucket" is not valid.

Step-by-step explanation:

1. Arturo earns n dollars per hour. Next month
he will receive a 2% raise in pay per hour. The
expression n +0.02n is one way to represent
Arturo's pay per hour after the raise. Write
an equivalent simplified expression that will
represent his pay per hour after the raise.

Answers

The equivalent simplified expression is 1.02n.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Given that, Arturo earns n dollars per hour. Next month he will receive a 2% raise in pay per hour.

The expression n +0.02n is one way to represent Arturo's pay per hour after the raise.

Here, the equivalent expression is n +0.02n= 1.02n

Therefore, the equivalent simplified expression is 1.02n.

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e by 1
3. Mr. Bauer placed the letters in the word
BASKETBALL into a bag. What is the
probability of choosing the letter B, not
replacing it, and then choosing a vowel?

Answers

Answer: The word "BASKETBALL" has 2 B's and 3 vowels (A, E, A). The probability of choosing the letter B, not replacing it, and then choosing a vowel is:

(2/10) * (2/9) * (3/8) = 6/90 = 1/15

So, the probability of choosing the letter B, not replacing it, and then choosing a vowel is 1/15.

Step-by-step explanation:

A car is bought for £8500
In it's first year it's price reduces by 10%
Each year after that it decreases by 5%
What is the price after 3 years?

Answers

Answer: The price after 3 years is £6904.15

Step-by-step explanation:

After 1 year,  8500*0.9= 7650

7650*0.95=7267.5

7267.5*0.95=6904.125

The price after 3 years is £6904.15

Simplify the following by rationalizing the denominator. need rightnow pahelp.

Answers

Answer:

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Exact Form:

3√2+2

    7

Decimal Form:

0.89180581

Convert 2 pints into milliliters. Round your answer to the nearest whole number.

Answers

Answer: 946 ml

Step-by-step explanation: 1 pint= 473.2

2*

473.2= 946.4

=946 ml

HELP PLSS I NEED HELPPPPP

Answers

The required measures of length are, as follows:

GF = 11, GE = 28, DF = 28, HF = 14, and DG = 25.75.

What is a rectangle?

A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.

The lengths are given in the question, as follows:

DE = 11

GH = 14

Since DE and GF are opposite sides then both are equal.

So GF = 11

Here GH and HF are equal,

HF = 14

∵ GE = GH + HE = 14 + 14 = 28

As we know that the two lengths of the diagonals are equal in the rectangle.

So GE = DF

So DF = 28

Using the Pythagorean theorem, we have

DG² + GF² = DF²

DG² + 11² = 28²

DG² + 121 = 784

DG² = 663

DG = 25.75

Thus, the measures are, as follows:

GF = 11, GE = 28, DF = 28, HF = 14, and DG = 25.75.

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solve
(2x-3) (x2+4x-5)

Answers

Answer: 2x^3 + 5x^2 - 10x + 15

Step-by-step explanation:

To multiply two polynomials, you can use the distributive property and multiply each term of one polynomial by each term of the other. In this case, the two polynomials are (2x - 3) and (x^2 + 4x - 5), so we have:

(2x - 3) * (x^2 + 4x - 5) =

2x * x^2 + 2x * 4x - 2x * 5 +(-3) * x^2 + (-3) * 4x - (-3) * 5

Expanding the products, we get:

2x^3 + 8x^2 - 10x - 3x^2 - 12x + 15

Combining like terms, we get: 2x^3 + 5x^2 - 10x + 15

What is X and Z. please tell me

Answers

x = 5

z = 118°

Step-by-step explanation:

opposite angles are equal

(6x + 32)° = 62°

6x = 62° - 32°

6x = 30°

x = 5°

angles on a straight line add up to 180

180° = 62° + z

z = 180° - 62°

z = 118°

Other Questions
What causes blood clots in inflammation? From what height would a car have to fall in order for the magnitude of its momentum to equal the magnitude of its momentum when it is moving on a highway at 34 m/s? Express your answer with the appropriate units. A ? Ay = Value Units Submit Request Answer What would the total bill be of a painting that costs $44.80 with tax rate 6%? a good conclusion transitioning into the counterclaim about racism and poverty Show that equation (5.3) is true by considering an investment in the asset combined with a short position in a futures contract. Assume that all income from the asset is reinvested in the asset. Use an argument similar to that in footnotes 2 and 4 of this chapter and explain in detail what an arbitrageur would do if equation (5.3) did not hold.5.3 equation:F0= S0e(r-q)TFootnote 2:For another way of seeing that equation (5.1) is correct, consider the following strategy: buy one unit of the asset and enter into a short forward contract to sell it for F0 at time T. This costs S0 and is certain to lead to a cash inow of F0 at time T. Therefore S0 must equal the present value of F0; that is, S0= F0erT, or equivalently F0= S0erTEquation 5.1 F0= S0erT.Footnote 4:For another way of seeing that equation (5.2) is correct, consider the following strategy: buy one unit of the asset and enter into a short forward contract to sell it for F0 at time T. This costs S0 and is certain to lead to a cash inow of F0 at time T and an income with a present value of I. The initial outow is S0. The present value of the inows is I+ F0e-rT. Hence, S0=I + F0e-rT, or equivalently F0= (S0 I)erTEquation 5.2 F0= (S0 I)erT is mr oakhurst a dynamic or static character in is in The Outcasts of Poker Flat What is the ICD-10 for Pleural effusion? 7. Speculate. Were Mary warren and Abigail Williams working togetheragainst Elizabeth Proctor? Support your argument with evidencefrom the text. which mesopotamian culture is responsible for the first form of written language? A set of stairs is being made from concrete. A picture of the stairs is shown below.2 feet5 feet$1 foot8 feet5 feetWhat is the volume, in cubic feet, of the set of stairs? a nurse is reinforcing discharge teaching with a client who is 2 days postpartum. which of the following statement should the nurse include in the teaching. you should breastfeed your newborn the cherokee, creek, seminole, chickasaw, and choctaw peoples were collectively known as in 2006 was 85% of the number atthe school in 2005. In 2006 the number of students was 1020.How many students were there in 2005? after world war ii, the us government adopted a policy of containment. this policy remained in place for several decades during the cold war period. what was the purpose of the containment policy? ? identify characteristics of a pseudo first order experiment. TRUE/FALSE. A private employer's refusal to give an employee overtime pay would meet the requirements for state action in a suit brought by the employee. What is the height h for the base that is 5/4 units long? In plane P, lines m and n intersect at point A. If line k is perpendicular to line m and line n at point A, then line k is 1) contained in plane p 2) parallel to plane p 3) perpendicular to plane p 4) skew to plane p a student from sidney, australia compares the distance he obtained from the 1-st spark mark to the 25-th spark mark, with the similar result of a student who did the experiment in gaithersburg, maryland. both students operated identical setups powered with 60 hz ac, reported no missing spark marks, and achieved precision of their measurements in four significant figures. what difference in the results was found? data for the gravity acceleration on the two locations is provided in the text. what is percentage is as common fractions in simplest form 40% 32% 15% 37% 96%