Write and graph linear equations

Write And Graph Linear Equations

Answers

Answer 1

The equation of the line is y = -3/4x + 10, the graph of the equation has been plotted

The slope of the line = -3/4

The slope of the line the change in y coordinate with respect to the change in x coordinate of the function

The line is passing through the point (0,10)

The point slope form is

[tex](y-y_1)=m(x-x_1)[/tex]

Substitute the values in the equation

y-10 = -3/4(x-0)

y - 10 = -3/4x

y = -3/4x + 10

The equation of the line in slope intercept form is

y = -3/4x + 10

Plot the graph using the slope intercept form

Hence, the equation of the line is y = -3/4x + 10, the graph of the equation has been plotted

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Write And Graph Linear Equations

Related Questions

Jayce is a taxi driver.

M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.

What does the statement M(10) = K mean?

Choose 1 answer:

A

Jayce's fee for his Kth drive is equal to $10.

(B)

Jayce's fee for his 10th drive is equal to K dollars.

Answers

The correct answer is C. Jayce's fee for his 10th drive is equal to K dollars.

Based on the mentioned statements, n refers to the number of drives in a certain day. Additionally, it is mentioned that M(n) models the fee in dollars. As is seen in the equation, M(n) is equal to K. Thus, the fee in dollars is K dollars.

Now, as n is ten, thus the drive is tenth. And the fees for tenth drive is K dollars. So, the third option is correct, which states that Jayce's fee for his tenth drive is equal to K dollars.

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PLEASE HELP

In November's Math Meet, the Little Monsters of Beast Academy solved $\frac{1}{5}$ of the problems. In March's Math Meet, they solved $\frac23$ of the problems. (There might be different numbers of problems asked in November and March.)

In total, the Little Monsters solved $13$ of $30$ problems over both Math Meets. How many problems were asked at March's Math Meet?

Answers

The number problems solved by the little Monsters  of Beast Academy in March's meet is 15.

How to determine the number of problems solved in March meet

The problem is a simultaneous equation of two unknowns with two equations.

The equations are formed as follows

let the number of questions solved by little Monsters  of Beast Academy in

March's meet be xNovember's meet be y

In November's Math Meet, the Little Monsters of Beast Academy solved $\frac{1}{5}$ of the problems = y/5

In March's Math Meet, they solved $\frac23$ of the problems = 2x/3

Hence:

y/5 + 2x/3 = 12

x + y = 30

solving the equation gives

x = y = 15

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Christian buys 18 bottles of grapefruit juice at the corner store for a total cost of $15.66. If each bottle costs the same amount, how much is 3 bottles of juice?

Answers

Answer:$2.61

Step-by-step explanation:

18=$15.66

÷6    ÷6

3=$2.61

The cost of 3 bottles of juice based on the given ratio will be $2.61.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

18 bottles cost = $15.66

1 bottle cost = $15.66/18 = $0.87/ bottle

For 3 bottles = 3 × $0.87 = $2.61

Hence "The cost of 3 bottles of juice based on the given ratio will be $2.61".

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Translate the expression “the product of triple a number and 19”

Answers

Answer: 3x+19

Step-by-step explanation:

at an academically challenging high school, the average gpa of a high school senior is known to be normally distributed with a variance of 0.45. a sample of 15 seniors is taken and their average gpa is found to be 2.83. assume that and . the 90% confidence interval for the population mean gpa is:

Answers

The 90% confidence interval for the population mean gpa is [2.545,3.114].

The confidence interval for population mean is:

µ ± z* . σ/√n

Where, μ is population mean, σ is standard deviation, z* is the value of z-score and n is number of samples.

The z-score value for 90% confidence interval is 1.645.

The average gpa is found to be 2.83, so μ=2.83. The variance is 0.45, it means

σ² = 0.45

σ = √0.45

σ = 0.67

The 90% confidence interval for population mean is:

2.83 ± 1.645 . 0.67/√15

[2.83 - 1.645.0.67/√15 , 2.83+1.645.0.67/√15]

[2.545 , 3.114]

Therefore, the 90% confidence interval for the population mean gpa is :

[2.545 , 3.114]

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Which equation represents a line that is parallel to the line y = -2/3x + 5? Pls Hurry :/

Answers

The equation of the line parallel to the equation y = - 2 / 3 x + 5 is 2x - 3y = 21

How to find the equation of a line?

The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.

Lines are parallel when they have the same slope.

Using slope intercept form,

y = mx + b

where

m = slopeb = y-intercept

Therefore,

y = - 2 / 3 x + 5.

The slope of the equation is - 2 / 3.

Hence, let's find the equation that has the same slope as - 2 / 3. First, we will have to represent the equation in slope intercept form.

2x - 3y = 21

add 2x to both sides of the equation

2x + 2x - 3y = 21 + 2x

- 3y = 2x + 21

divide both ides by - 3

- 3y  / - 3 = 2x / -3 + 21 / - 3

y = - 2 / 3 x - 7

Therefore, the slope is - 2 / 3 , the equation is 2x - 3y = 21

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Answers

The value of function is positive so the function have maximum value at x=3.

In the given question we have to find the maximum or the minimum value of a function.

The given function is

f(x) = -3x^2+18x+3

To find the maximum or minimum value we firstly find the value of f'(x).

f'(x) = -6x+18

Now put f'(x)=0

-6x+18=0

Subtract 18 on both side we get

-6x=-18

Divide by -6 on both side we get

x = 3

Now finding the value of function at x=3

f(3)= -3*(3)^2+18*3+3

f(3)= -3*9+54+3

f(3)= -27+54+3

f(3)= 30

Since the value of function is positive so the function have maximum value at x=3.

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PLS ANSWER THIS Solve the following system of equations for all three variables.

Answers

The values of x, y and z are 4, 1 and - 6 respectively.

What is the general equation of a Straight line? What is a system of equations in two or three variable.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied

We have the following equations -

8x + y + 4z = 9

4x - 3y + z = 7

8x - 4y + 5z = - 2

We have -

4x - 3y + z = 7

z = 7 - 4x + 3y

We can write -

8x + y + 4z = 9

as -

8x + y + 4(7 - 4x + 3y) = 9

8x + y + 28 - 16x + 12y = 9               ...Eq[1]

and we can write -

8x - 4y + 5z = - 2

8x - 4y + 5(7 - 4x + 3y) = -2

8x - 4y + 35 - 20x + 15y = - 2         ...Eq[2]

Plot the graph of equation [1] and [2]. We will will get -

x = 4

y = 1

Now -

z = 7 - 4x + 3y

z = 7 - 16 + 3

z = - 6

Therefore, the values of x, y and z are 4, 1 and - 6 respectively.

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Pls pls pls help it has to be turned in today!

Answers

Using the compound amount formula, the amount after 40 years is 2000(107/100)^40.

In the given question,

Esther got a summer job and decided to set aside $2000 to prepare for retirement without making monthly contribution.

She invests in the US stock market through as index fund that averages a 7% return compounded annually over this 40 year period.

We have to find the total balance in the account after 40 years.

We have to find total balance compounded annually.

The formula of the compound amount is

A = P(1+r/100)^n

where A = Amount

P = Principal Amount

r = interest rate

n = time

From the question we know that

P = $2000, r = 7%, n = 40

Now putting the value in formula

A = 2000(1+7/100)^40

Simplifying

A = 2000(1×100/100+7/100)^40

A = 2000(100/100+7/100)^40

A = 2000((100+7)/100)^40

A = 2000(107/100)^40

You can find the amount after simplifying the amount.

Hence, the amount after 40 years is 2000(107/100)^40.

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work out the minimum number of hikers who could have walked between 6 miles and 17 miles work out the maximum number of hikers who could have walked between 6 miles and 17 miles

Answers

The maximum number of hikers who could have walked between 6 miles and 17 miles is 19.

We need to find the maximum number of hikers who could have walked between 6 miles and 17 miles.

What is meant by minimum and maximum value?

When the derivative equals 0, rearrange the function using elementary algebraic principles to find the value for x. The x-coordinate of the function's vertex, which is where the maximum or lowest will occur, is provided in this answer. the solution back into the original function to determine the minimum or maximum.

From the table, we can see

Between intervals 5≤x<10 there are 2 hikers

Between intervals 10≤x<15 there are 9 hikers

Between intervals 15≤x<20 there are 8 hikers

So, total number of hikers = 2+9+8

= 19

Hence, the maximum number of hikers who could have walked between 6 miles and 17 miles is 19.

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Please help! I need help solving this final problem for geometry.

Answers

A+b_A-b


Soo

A

A
A
A
A
A
A
B
B
B
B
B
B

what is 56/60 as a percentage

Answers

Answer:

93.33%

Step-by-step explanation:

56/60 as a percentage:

56/60 = 0.93333

0.93333 as a percent:

0.93333 * 100 = 93.33%

The value of solution for a number 56/60 into a percentage is,

⇒ 93.33%

We have to given that,

To change a number 56/60 into a percentage.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Hence, We can write as,

⇒ 56/60 × 100%

⇒ 5600/60

⇒ 93.33%

Therefore, The value of solution for a number 56/60 into a percentage is,

⇒ 93.33%

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X (3x + 5)°
(4x)
Y
(8x - 14)°
B
N

Answers

Answer:2

Step-by-step explanation:

1+1 es 2

The answer would be 2

suppose for a particular week, the forecasted sales were $4,000. the actual sales were $3,000. what is the value of the mean absolute percentage error?

Answers

The mean absolute percentage error is 33.3%

The mean absolute percentage error measures the forecast accuracy by determining how well a particular forecasting method is able to reproduce the time series data that are already available.

This method is referred to as the forecasts of accuracy, which help to measure the number of errors that are in a former forecast.

Then this would factor these errors into a new forecast while making adjustments to the new forecast.

Forecasted sales were $4,000

Actual sales were $3,000

Absolute error = |Actual sales - Forecasted sales|

                        = |3,000-4,000|

                        = 1000

Mean Absolute error percentage = (Absolute error / Actual sales) *100%

                                                       =(1000/3000)*100

                                                       = 33.33%

Hence, The Mean Absolute error percentage is 33.3%

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Given the following information about the arithmetic sequence an, find a10. A5=24 a8=39

Answers

The 10th term of an arithmetic sequence is found as the 49.

Define the term arithmetic sequence?An ordered group of numbers with a shared difference with each consecutive word is referred as an arithmetic sequence. For particular, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression would be another name for an arithmetic sequence.

As per the stated values in question.

Fifth term a5 = 24

8th term a8 = 39.

Let the first term be 'a' and the common difference be 'd'.

Then,

a5 = a + 4d

24 = a + 4d .....eq 1

a8 = a + 7d

39 = a + 7d .....eq 2

Solving eq 1 and 2.

3d = 15

d = 5

a = 4

Now,

a10 = a + 9d

a10 = 4 + (9 x 5)

a10 = 4 + 45

a10 = 49

Thus, the 10th term of an arithmetic sequence is found as the 49.

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Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. How many ways can this be done, if the order of the choices is not taken into consideration

Answers

Thus, the number of ways in which  to choose 4 letters, without replacement, from 17 distinct letters is 57,120.

Define the term permutation?The term permutation applies to a mathematical computation of a number of possible arrangements of a given collection. Simply said, a permutation is a term that defines the amount of different ways something can be organized or arranged.

Total distinct letters are 17.

There are 17 alternatives for the initial letter if there are 17 letters.

There are just 16 alternatives left once you remove the letter.

Each time you remove a letter, the bag contains one fewer letter.

Number of ways = 17 x 16 x 15 x 14

Number of ways =  57,120

Thus, if the sequence of the alternatives is irrelevant, there are 57,120 options.

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

Answer:

The correct statements are:

- 6x + 15 < 10 - 5x ⇒ 3rd answer

Step-by-step explanation

An open circle is at 5 and a bold line starts at 5 and is pointing to the right ⇒ 4th answer

Step-by-step explanation:

∵ The inequality is -3(2x - 5) < 5(2 - x)

At first simplify each side

∵ -3(2x - 5) = -3(2x) + -3(-5)

Remember (-)(-) = (+)

∴ -3(2x - 5) = - 6x + 15

∵ 5(2 - x) = 5(2) + 5(-x)

Remember (+)(-) = (-)

∴ 5(2 - x) = 10 - 5x

∴ - 6x + 15 < 10 - 5x

Subtract 15 from both sides

∴ - 6x < -5 - 5x

Add 5x to both sides

∴ - x < - 5

Remember the coefficient of x is negative, then when you divide both sides by it you must reverse the sign of inequality

∵ The coefficient of x is -1

∴ Divide both sides by -1

∴ x > 5

David picked 15 pears. Jenna picked p fewer pears than David. Write an expression that shows how many pears Jenna picked.

Answers

15 - p = amount of pears that Jenna picked

Answer:

15-p

Step-by-step explanation:

15-p

Help with this please (ASAP)

Answers

B. The exponent inside the root.
I definitely think that it’s b

Write the equation of the graph shown below in factored form.

a graph that starts at the top left and continues down through the x axis at negative one to a minimum around y equals negative twelve point two five and goes up to touch the x axis at two and the goes back down to a minimum around y equals negative one half and goes back up through the x axis at two.

f(x) = (x − 2)2(x + 1)(x − 3)
f(x) = (x + 2)2(x − 1)(x + 3)
f(x) = (x + 2)2(x + 1)(x + 3)
f(x) = (x − 2)2(x − 1)(x − 3)

Answers

The answer is

f(x) = (x - 1) 2(x +1)(x - 3 ).

Given equation

f(x) = (x − 2)2(x + 1)(x − 3)

f(x) = (x + 2)2(x − 1)(x + 3)

f(x) = (x + 2)2(x + 1)(x + 3)

f(x) = (x − 2)2(x − 1)(x − 3)

Factored form is a product of stayed and linear elements.

by checking of the red line cross the x-axis.it will give you the zero.

it passes at -1, touches at 1, and crosses again at 3.

This implies that the zeroes are -1, 1 and 3.

The factors 2(x+1), (x - 3), and (x - 1) must be evaluated.

Therefore the answer is

f(x) = (x - 1) 2(x +1)(x - 3 ).

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How many dogs could Roscoe groom if he worked for 40 hours?

90

120

220

200

Answers

There are 200 dogs Roscoe groom if he worked for 40 hours.

What is working time?

A person's working time is the time they are engaged in paid work. Personal housework, childcare, and pet care are examples of unpaid work that is not included in the definition of the working week.

In most cases, when someone inquires about your working hours, you should first provide the start time before providing the time you leave for home.

From the given graph we can see that for each three hours the number of dogs are increased by 15.

So, for each one hour the number of dogs increased by 5.

For 18 hours the the number of dogs are 90.

After 18 hours to complete 40 hours we need 22 hours.

So, for 22 hours the number of dogs are

22 x 5 = 110.

Therefore, the total number of dogs worked for 40 hours are,

90 + 110 = 220.

Hence, there are 200 dogs Roscoe groom if he worked for 40 hours.

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2x+y=4 1x-y=11 adding subtracting equations to solve systems.

Answers

By solving the equations 2x+y=4, x-y=11 we get values x=5/3 and y=2/3

What is meant by an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign =. In French, an equation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions coupled with an equals sign.

An equation is composed of two expressions joined by an equals sign (=). The expressions on the two sides of the equals sign are referred to as the equation's left-hand side and right-hand side. The right side of an equation is frequently considered to be zero.

Given,

2x+y=4

x-y=1

By solving above two equations we get,

2x+y=4

x-y=1

3x=5

x=5/3

y=-1+x

y=(5/3)-1

y=2/3

Therefore, by solving the equations 2x+y=4, x-y=11 we get values x=5/3 and y=2/3

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Find the total area for the shape!!

Answers

Split the shape into 2 rectangles then

4x8=32
8x3=24
32+24=56

Answer:

56cm²

Step-by-step explanation:

Because this is an irregular shape, you have to split it into two shapes and find the area of each one. Then you can add those two areas together to find the total area of the figure. There are many ways you can split it but the way I did it left me with the equation (12·3)+(4·5). Then all you have to do is multiply and add which will give you a total of 56cm².

If Clare labels books at 15 books per minute and she takes no breaks, then it would take her minutes to finish labeling all the books.

Answers

The time taken to label 750 books if Clare labels books at 15 books per minute is 50 minutes.

How to calculate the time used?

In this situation, Clare volunteers at a library during the summer and has to label 750 books and she labels books at 15 books per minute and she takes no breaks.

Let the time taken to label the 750 books be represented by x.

This will be illustrated as:

1/x = 15/750

Cross multiply

(15 × x) = (750 × 1)

15x = 750

Divide

x = 750 / 15

x = 50

The time is 50 minutes.

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Complete question

Clare volunteers at a library during the summer and has to label 750 books. Clare labels books at 15 books per minute and she takes no breaks, then it would take her minutes to finish labeling all the books.

please help!!





the function shown in the graph is f(x)= ???

Answers

Answer:

The answer is x^{3}-2x^{2}-5x+6

Step-by-step explanation:

This is because only a Cubic Function would have such a shape. That leaves x^3 functions from there just substitute points and check


The graphing calculator screen below represents time on the horizontal axis and the speed of an object on the vertical axis.
The data graphed on the screen indicates which of the following about an object?
The object was at rest, then began moving, and then stopped.
O The object moved at a constant speed, then sped up, and then stopped.
O The object was at rest, then began moving, and then slowed down.
O The object moved at a constant speed, then sped up, and then moved at a constant speed again.

Answers

Check the picture below.

The variable p represents number of presents. If it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used. If there are 7 presents, how much ribbon is needed? Ribbon is sold in 15 feet packages. How many do you need to buy?

Answers

The number of ribbons that is needed for 7 presents is 73 ribbons.

She needs 5 packages.

What is an expression?

An expression is simply used to illustrate the relationship between the variables.

In this case, it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used.

The ribbons needed for 7 presents will be:

= 10p + 3

= 10(7) + 3

= 70 + 3

= 73

Since it's sold in 15 feet packages, the number needed will be:

= 73 / 15

= 5

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the weight of bags of all purpose flour is normally distributed with expected value 10 pounds and standard deviation 0.2 pounds. the heaviest 2.5% of the bags packaged by the flour company are labeled as overweight. what is the probability that of 10 randomly chosen bags of flour at least 2 are overweight?

Answers

The probability that of 10 randomly chosen bags of flour at least 2 are overweight be 0.68.

Given, that the weight of bags of all purpose flour is normally distributed with expected value 10 pounds and standard deviation 0.2 pounds.

As, we know that

P(X) = (1/s√2π)exp(-1/2((X-m)/s)^2)

where, m is the expected value

and s is the standard deviation.

Now, we have Expected value 10 pounds

and Standard Deviation 0.2 pounds

So,  the probability that of 10 randomly chosen bags of flour at least 2 are overweight be

P(X=0) + P(X=1) = (1/0.2√2π)exp(-1/2((0-10)/0.2)^2) + (1/0.2√2π)exp(-1/2((1-10)/0.2)^2)

P(X=0) + P(X=1) = 0.32

So, Required Probability be 0.68.

Now,  the probability that of 10 randomly chosen bags of flour at least 2 are overweight be 0.68

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a 61 mg of a vaccine is given to a patient to prevent measles. the vaccine leaves the body at a rate of 6.1% per hour. define a function g that gives the mass of the vaccine remaining in the body, v, in terms of the number of hours, n since the vaccine was administered. how much of the vaccine remains in the body 24 hours after it was administered? mg use your graphing calculator to determine how many hours passed before there were only 5mg of the vaccine remaining in the body.

Answers

The linear equation that represent the amount vaccine that remain is g = 61 - 0.061n. The vaccine remains in the body 24 hours after it was administered 59.536 mg. There were only 5mg of the vaccine remaining in the body after 918.033 hours.

What is rate?

A rate is a unique ratio where the two words are expressed in several units.

Given that the amount of vaccine is 61 mg.

The vaccine leaves the body at a rate of 6.1% per hour.

After 1 hour the body will consume 6.1% = 6.1/100 = 0.061 mg.

After n hour the body will consume 6.1%× n =  0.061n mg.

The remaining amount of vaccine is (61 - 0.061n).

The required linear equation that represent the remaining amount of vaccine is g = 61 - 0.061n.

Putting n =24 in the equation:

g = 61 - 0.061×24

g = 59.536 mg

The vaccine remains in the body 24 hours after it was administered 59.536 mg.

The graph represents that there were only 5mg of the vaccine remaining in the body after 918.033 hours.

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Write a unit rate for the situation.
Situation: 87 students in 3 classrooms
Unit rate:
students per classroom

Answers

The unit rate for the given situation is 29 students per classroom.

What is the unit rate?

A unit rate is described as a ratio comparing the first quantity to one unit of the second quantity.

Given situation is 87 students in 3 classrooms.

So, the unit rate  [tex]= \frac{87}{3}[/tex]  students/classroom

                            [tex]= 29[/tex] students per classroom

Hence, the unit rate for the given situation is 29 students per classroom.

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quora what situations can you think of that compounding monthly will benefit you more than compounding continuously? the hydrogen in a star emits light at 484 nm as observed by an astronomer. which describes the motion of the star if the laboratory value of this spectral line of hydrogen is measured at 486 nm? question 9 options: approaching at 6.17 105 m/s moving away at 6.17 105 m/s approaching at 1.23 106 m/s moving away at 1.23 106 m/s A (8,4)B (4,3)C (4,-9)D(2,-1)please explain your answer!!! blaylock plans to sell 94,000 units of product no. 794 in may, and each of these units requires three units of raw material. pertinent data follow. product no. 794 raw material actual may 1 inventory 11,900 units 29,900 units desired may 31 inventory 17,900 units 20,900 units on the basis of the information presented, how many units of raw material should blaylock purchase for use in may production? stephanie is an overweight young woman who wants to lose 10 pounds. the most reliable and safe way for her to lose this weight is to the manager at best buy gave their employees tickets to the movies whenever they sold more than $1000 worth of stereo equipment in a day. although the manager has had this policy in place for 4 weeks, they have seen no increase in sales (i.e., the behavior of the employees hasn't changed). the movie tickets would be classified as a(n) . how can government leaders use a cost benefit analysis process to make decisions Ada lives 12 4/5 miles from her aunt's house. she lives 17 3/8 miles from her grandmother's house. how many more miles does jada live from her grandmother's house than her aunt's house? What something about ford motor company? PLEASE HELP!!!!!!!!!!I WILL NAME YOU THE BRAINLIEST!The thing is in the photo.I do not understand it because it looks like it has "!" Please help forensics1. Describe how insects can be useful for identification of drugs in forensics2. If three different sized larvae are found on a body, which should you use to determine post mortem interval and why?3. List two factors that can affect insect colonization rates Muscular strength is the ability of the ________ to exert force during an activity. explain how deferred tax assets and deferred tax liabilities are reported in a classified balance sheet. Discuss intrinsic motivation and the importance of learning it through operant conditioning. You spent less than $75. They purchased three pitchers of soda for $12.99 and pizzas for $6 each. Howmany pizzas could the group purchase? A man is paid N12,000 for 4 days. Find his pay for: (i) 2 days How does the leaderships control of floor debate in the house differ from the leaderships control of floor debate in the senate?. the tissue layer between the muscularis mucosae and muscularis externa of the digestive tract is the . 16/5 x 25/8 multiply each of the following fractions on december 31, slugger batting cages company decides to trade in one of its batting cages for another one that has a cost of $500,000. the seller of the batting cage is willing to give a trade-in allowance of $12,000. the initial cost of the old equipment was $225,000 with an accumulated depreciation of $195,000. depreciation has been taken up to the end of the year. the difference will be paid in cash. what is the amount of the gain or loss on this transaction? a.gain of $12,000 b.loss of $18,000 c.loss of $12,000 d.gain of $25,417