Convert the point to polar coordinates using the interval [0, 2\small \pi) for θ. Show all work.

Convert The Point To Polar Coordinates Using The Interval [0, 2\small \pi) For . Show All Work.

Answers

Answer 1

We know that polar coordinates are defined as:

[tex]\begin{gathered} r=\sqrt[]{x^2+y^2} \\ \theta=\tan ^{-1}(\frac{y}{x}) \end{gathered}[/tex]

in this case we have the point (-2,-2); this means that x=-2 and y=-2. Plugging this value for the radius we have that:

[tex]\begin{gathered} r=\sqrt[]{(-2)^2+(-2)^2} \\ r=\sqrt[]{4+4} \\ r=\sqrt[]{2\cdot4} \\ r=2\sqrt[]{2} \end{gathered}[/tex]

Plugging the values for the angle we have:

[tex]\begin{gathered} \theta=\tan ^{-1}(\frac{-2}{-2}) \\ \theta=\tan ^{-1}(1) \\ \theta=\frac{\pi}{4} \end{gathered}[/tex]

for the angle we need to be careful, we know that the point (-2,-2) in on the third quadrant, this means that the angle is greater than pi but when we use the formula we got pi/4; this comes from the fact that the formula for the angle determines the angle measure in the quadrant we are at. This means that we need to add the appropiate amount to the angle found by this formula to find the correct one. In this case, since we are on the third quadrant, we need to add pi to the angle we found, then we have:

[tex]\begin{gathered} \theta=\frac{\pi}{4}+\pi \\ \theta=\frac{\pi+4\pi}{4} \\ \theta=\frac{5\pi}{4} \end{gathered}[/tex]

Hence the correct angle is 5pi/4.

Therefore the polar coordinates of the angle are:

[tex](2\sqrt[]{2},\frac{5\pi}{4})[/tex]


Related Questions

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the diameter is 2 in. The diameter of each scoop is 3 in. Assume the cone is stuffed full with ice cream.Question: Which size is the best value? Explain your reasoning using complete sentences.

Answers

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}[/tex]

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}[/tex]

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}[/tex]

For the first ice cream with one scoop

[tex]\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}[/tex]

For the second ice cream with two scoops

[tex]\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}[/tex]

For the third ice cream with three scoops

[tex]\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}[/tex]

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

Solve Each system of equations.

-r + t = 5
-2r+t=4

Answers

Answer is r = 1, t = 6
Solve equations

-(1) + 6 = 5
5= 5

-2(1) + 6 = 4
4=4
_________

Step by step

We have two equations

-r + t = 5 to t = r + 5 when put in y intercept form for easy math

t = r + 5
-2r + t = 4

To solve, substitute the t value from the first equation for t in the second

-2r + (r + 5) = 4
Combine like terms

-1r + 5 = 4

Subtract 5 from both sides to solve for r

-1r + 5 - 5 = 4 - 5
Combine

-1r = -1

Divide both sides by -1 to solve for r

-1/-1 r = -1/-1

r = 1

Now substitute the r value into one of the equations to solve for t

(-1)(1) + t = 5

-1 + t = 5

Subtract (-1) from both sides to solve for
t = 6

Graph in the attachment

I bought a suit that was on sale for 40% off the original price the original price of the suit was 260. How much did I save? and how much did I pay for the suit not including tax to the nearest dollar?

Answers

Answer:

I saved 104

I payed 156

Explanations:

% Discount = 40%

Original Price = 260

The amount I saved is the discount given

[tex]\begin{gathered} \text{Discount = }\frac{\%\text{ Discount}}{100}\times\text{ 260} \\ \text{Discount = }\frac{40}{100}\times260 \\ \text{Discount = 0.4}\times260 \\ \text{Discount = }104 \end{gathered}[/tex]

Therefore, I saved 104

The amount payed = Original Price - Amount saved

Amount payed = 260 - 104

Amount payed = 156

Out of a group of 120 students, 28 said they ski and 52 said they snowboard. Sixteen of thestudents said they do both. If a student is chosen at random, find the probability that theysnowboard given they ski (Hint: Draw a Venn Diagram).

Answers

Given:

The total number of students = 128 students.

The number of students who play ski, N(S)= 28 students.

The number of students who play snowboard, N(B)= 52 students.

The number of students who play both ski and snowboard, N(S and B)= 16 students.

[tex]N(S\cap B)=16[/tex]

Required:

We need to find the probability that they snowboard given they ski.

Explanation:

The ven diagram.

Consider the Conditional probability formula.

[tex]P(\frac{S}{B})=\frac{N(S\cap B)}{N(B)}[/tex][tex]Substitue\text{ }N(S\cap B)=16\text{ and N\lparen B\rparen=52 in the formula.}[/tex]

[tex]P(\frac{S}{B})=\frac{16}{52}[/tex][tex]P(\frac{S}{B})=\frac{4}{13}[/tex]

Final answer:

The probability that they snowboard given they ski is 4/13.

need help with this problem.

Answers

[tex]\cfrac{6^3\cdot 15^3}{(7^0)^3}\implies \cfrac{(6\cdot 15)^3}{(1)^3}\implies \cfrac{90^3}{1}\implies 729000[/tex]

use nPr formula 11P0=

Answers

we know that

the formula is equal to

P(n,r) = n! / (n-r)!

we have that

nPr = n!/(n-r)!

we have

11P0

so

n=11

r=0

= 11!/(11-0)!

=11!/11!

=1

answer is 1

Pattern A Step 0 Step 1 pattern A or pattern B) shows a quadratic relationship?Step 2 Step 3 8 Pattern B Step 0 Step 1 Step 2 Step 3 2 a. How many dots will there be in Step 4 of each pattern? Pattern A = 16 dots Pattern B = 16 dots b. Which pattern (

Answers

Looking at pattern A, the rate at which the number of dots in increasing is linear. The common difference between the number of dots in consecutive steps is 2. The sequence formed is

4, 8, 12.......

The common difference is 8 - 4 = 12 - 8 = 4

Thus, the number of dots in step 4 is

12 + 4 = 16

Looking at pattern B, the sequence formed is

2, 3, 6, 11

3 - 1 = 1

6 - 3 = 3

11 - 6 = 5

We can see that the difference between consecutive terms is increasing by a constant value, 2. This means that the difference between the fourth term and the third term is 5 + 2 = 7

Thus, the number of dots in step 4 is

11 + 7 = 18

b) A quadratic sequence is one in which the second difference between any two consecutive terms is constant. The constant value for the second difference in pattern B is 2

Thus, pattern B is shows a quadratic relationship

Need help w whole paper

Answers

Answer:

it is 1+1=2 and 8+x(1230+8723)=27t9230

Step-by-step explanation:

its easy for me

what is the probability that Glenn will get a yellow marble

Answers

The bag has 5 marbles

3 yellow marbles

2 red marbles

"Glen chooses a marble first and then Kris chooses one" You have to determine the probability of Kris choosing a yellow marble if Glen chooses a yellow one first.

1. First you have to determine the probability that Glen choose a yellow marble first.

To do so, you have to calculate the quotient between the number of yellow marbles on the bag and the total number of marbles on the bag:

[tex]\begin{gathered} P(Y_1)=\frac{nº\text{yellow}}{\text{total}} \\ P(Y_1)=\frac{3}{5} \end{gathered}[/tex]

2. and 3.

After Glen takes the first yellow marble from the bag, the total number of marbles is reduced by one and so is the number of yellow marbles on the bag, so:

New total: 4 marbles

Number of yellow marbles: 2

4.

To determine the probability of Kris choosing a yellow marble, you have to use the data on the remaining marbles on the bag. And calculate the quotient between the remaining number of yellow marbles and the remaining number of marbles:

[tex]\begin{gathered} P(Y_2)=\frac{2}{4} \\ P(Y_2)=\frac{1}{2} \end{gathered}[/tex]

I need to find the inequality 5-12x<29

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x > −2

Interval Notation:

(−2, )

X is greater than -2

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 40 pounds each, and the small boxes weigh 25 pounds each. There are 135 boxes in all. If the truck is carrying a total of 4350 pounds in boxes, how many of each type of box is it carrying?

Number of large boxes:
Number of small boxes:

Answers

Number of large boxes will be 65.

Number of small boxes will be 70.

What is mathematical expression?

Expression in math is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The large boxes weigh 40 pounds each, and the small boxes weigh 25 pounds each.

There are 135 boxes in all.

If the truck is carrying a total of 4350 pounds in boxes.

Let number of large boxes = x

Number of small boxes = y

Since, There are 135 boxes in all.

So, We get;

x + y = 135  ... (i)

And, The large boxes weigh 40 pounds each, and the small boxes weigh 25 pounds each and the truck is carrying a total of 4350 pounds in boxes.

So, we can formulate;

40x + 25y = 4350  ... (ii)

Solve equation (i) and (ii) as;

Multiply 40 by (i) and subtract by (ii) we get;

40x + 40y - 40x - 25y = 5,400 - 4,350

15y = 1,050

y = 70

And, x + y = 135

x + 70 = 135

x = 135 - 70

x = 65

Thus, Number of large boxes will be 65.

Number of small boxes will be 70.

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Solve the following inequality for n. Write your answer in the simplest form.9n + 4 ≤ 6n - 6

Answers

Given,

The expression is,

[tex]9n+4\le6n-6[/tex]

Substracting 4 from both sides then,

[tex]\begin{gathered} 9n+4-4\le6n-6-4 \\ 9n\le6n-10 \end{gathered}[/tex]

Substracting 6n from both sides then,

[tex]\begin{gathered} 9n\le6n-10 \\ 9n-6n\le6n-6n-10 \\ 3n\le-10 \end{gathered}[/tex]

Multiplying both sides by 1/3 then,

[tex]\begin{gathered} 3n\le-10 \\ 3n\times\frac{1}{3}\le-10\times\frac{1}{3} \\ n\le-\frac{10}{3} \end{gathered}[/tex]

Hence, the solution for n is n<= (-10/3).

Which of the following graphs represents the reflection of the point ( -3, 5) over the x-axis? I have to send you the other 2. It’s 4 altogether.

Answers

We have to identify the graph that represents the reflection of the point (-3,5) over the x-axis.

A reflection over the x-axis can be defined by the following rule: if we have a point (x,y), the image point after the reflection will have the same x-coordinate but the opposite of the y-coordinate.

It can be expressed as:

[tex]P=(x,y)\longrightarrow P^{\prime}=(x,-y)[/tex]

Then, the image point for (-3,5) will be:

[tex](-3,5)\longrightarrow(-3,-5)[/tex]

Then, this can be represented in a graph as:

This matches the following graph:

what is the least common multiple of 62 and 31?​

Answers

Answer:

there is none so it would be 62

Step-by-step explanation:

The greatest common factor of 36 and 60 is 12. Explain what this means.

Answers

For 12 to be the GCF (Greatest common factor) between 36 and 60, means that the greatest number that can divide both 36 and 60 at the same time is 12.

Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.

How many numbers are greater than 64?

Answers

There are 35 natural numbers that are greater than 64.

Natural numbers:

Natural number are the numbers that start from 1 and end at infinity. In other words, they are counting numbers and they do not include 0 or any negative values.

Given,

Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.

Here we need to find the numbers that satisfied the given condition and that is also greater than 64.

We know that, two digit natural numbers range from 10 to 99.

Since there are replacement take place, then each number formed from 10 to 99 is valid in this exercise.

Now, we have to move on to the other thing that is, those number are greater than 64,

Then we have to calculate it as,

=> 99-64 = 35 are greater than 64.

And those number are 65,66,67,68,69,...,98,99.

Finally, we have identified that there are 35 number are greater than 64.

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Find the area of the shadedSector in terms of π12 90

Answers

Consider the following figure:

4 years ago Lena won some money in the lottery and put it in a bank account that earns 6% interest compounded annually if Lena currently has $5,000 00 in the bank account how much interest has she earned round your answer to the nearest cent

Answers

Solution

For this case we can use the compound interest formula given by:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

and for this case A= 5000, r = 0.06, t= 4 and n = 1 ( compounded yearly)

[tex]A=5000(1+\frac{0.06}{1})^{1\cdot4}=6312.38[/tex]

and the interest would be:

[tex]i=6312.38-5000=1312.38[/tex]

Bismuth-210 has a half-life of about 6 days. After 21 days, how many milligrams of a1,220 mg sample will remain? Round answer to the nearest tenth place. If answerdoes not have tenths place use a zero so that it does.

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Bismuth-210 has a half-life of about 6 days.

After 21 days, how many milligrams of a 1,220 mg sample will remain?

Round answer to the nearest tenth place.

Step 2:

The details of the solution are as follows:

[tex]\begin{gathered} We\text{ have that:} \\ 0.5\text{ = e}^{-6k} \\ Taking\text{ In of both sides, we have that:} \\ ln\text{ 0.5 = -6k} \\ That\text{ means that:} \\ k\text{ =}\frac{-ln\text{ 0. 5}}{6} \end{gathered}[/tex][tex]Let\text{ the number to remain, A=1220e}^{-(-\frac{ln0.5}{6})(21)}[/tex][tex]\begin{gathered} 107.83378\text{ mg} \\ \approx\text{ 107. 8 mg \lparen to the nearest tenth\rparen} \end{gathered}[/tex]

CONCLUSION:

The final answer is:

[tex]107.\text{ 8 mg \lparen to the nearest tenth\rparen}[/tex]

Dude I need help so if anyone can answer this for me that would be great!

5/6 ÷ -2/3

A -5/4
B -5/9
C 5/9
D 5/4

Answers

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The final expression for this division of fraction 5/6 ÷ (-2/3) is -5/4.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

The division of two fraction:

5/6 ÷ (-2/3)

= (5/6) / (-2/3)

= 5/6 x (-3/2)

= (5 x (-3)) / (6 x 2)

= -5 x 3 / 6 x 2

= -5 / 4

Thus,

The final expression for this division of fraction 5/6 ÷ (-2/3) is -5/4.

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What is the inverse of the function y = 2(x + 1)³?

Answers

Answer:

[tex]\sqrt{x}[/tex][tex]\sqrt[3]{1/2(x)}[/tex] - 1 = y

Step-by-step explanation:

Inverse: swap x and y

y =2(x+1)^3

x = 2(y + 1)^3

now put it in a y = mx + b form

x = 2(y + 1)^3

1/2(X) = (y+1)^3

[tex]\sqrt{x}[/tex][tex]\sqrt[3]{1/2(x)}[/tex]= y + 1

[tex]\sqrt{x}[/tex][tex]\sqrt[3]{1/2(x)}[/tex] - 1 = y

Solve the equation. Justify each step using the word bank provided. *Properties may be used more than once!
Given
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Combine
Like Terms



Justifications for each step:
2(x − 4) − 9 = 3(2x + 1) + 4
HELP PLEASE

Answers

The result of the equation 2(x − 4) − 9 = 3(2x + 1) + 4 by using the distributive property is x = -6

The equation is

2(x − 4) − 9 = 3(2x + 1) + 4

The distributive property states that multiplying the sum of two or more variables by a number will provide the same result as multiplying each variable individually by the number and then adding the products together.

The distributive property of the addition

A(B + C) = AB + AC

The distributive property of the subtraction

A(B - C) = AB - AC

The equation is

2(x − 4) − 9 = 3(2x + 1) + 4

Apply the distributive property

2x-8-9 = 6x+3+4

2x-17 = 6x+7

Rearrange the like terms and combine it

2x-6x = 7+17

-4x = 24

x = -6

Hence, the result of the equation 2(x − 4) − 9 = 3(2x + 1) + 4 by using the distributive property is x = -6

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Higher Order Thinking Veronica needs to buy 13 pounds of cheese. When the clerk places some cheese in a container and weighs it, the scale shows 1 pounds. The container weighs pound. How many more pounds of cheese should be added to the scale to get the amount that Veronica needs? Explain how you solved the problem. ​

Answers

After calculating some basic arithmetic we have come to find that, 12 pounds of more cheese  should be added to the scale to get the amount that Veronica needs which 23 pounds.

What is arithmetic?

Using the four operations, arithmetic is a branch of mathematics that deals with the characteristics of numbers.

Division, multiplication, and subtraction are the four operations. The rules for each operation are very detailed.

As an illustration of arithmetic, one of the rules of addition and subtraction is that addition increases the overall value of a number while subtraction decreases the overall value of a number.

Veronica needs to buy 13 pounds of cheese

Cheese in a container weighs = 1 pounds

Mass of cheese clerk needs to add = 13 - 1

                                                            = 12 pounds

                                                             (as 1 pound is already there)

Thus, 12 pounds of more cheese  should be added to the scale to get the amount that Veronica needs which 23 pounds.

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Which expression is equivalent to 10x – 6?

Answers

Answer:

1. -6 + 10x

Step-by-step explanation:

The expression 10x – 6 is the same as adding -6 to 10x, or 10x + -6. Since addition equations can be rearranged, 10x + -6 can also be written as -6 + 10x.

Answer:

[tex] \sf{ \large{ - 6 + 10x}}[/tex]

Step-by-step explanation:

10x - 6

note: there is a plus sign at 10x

+10x - 6

so when you switch it will be like this

-6 + 10x

Can someone explain to me how to find the answers

Answers

Part a: The missing length =  28 units.

Part b: The missing length =  25 units, for the given similar triangle.

What is termed as the similarity of the triangle?If two triangles' corresponding angles seem to be congruent and their corresponding sides are proportional, they are said to be similar. In other phrases, similar triangles have the same shape but may or may not be the same size. The triangles have been congruent if their side lengths are also of equal length.

Part a: For the similar triangles.

Let the unknown value be x.

The, using the similarity of the triangle,

63/x = 27/12

x = (63×12)/27

x = 28 units.

The missing length is 28 units.

Part b:  For the similar triangles.

Let the unknown value be x.

The, using the similarity of the triangle,

21/15 = (10 + x)/x

21x = 150 - 15x

6x = 150

x = 25

The missing length is 25 units.

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A laptop computer consumes about 40 watts of electricity per hour when operating. At $0.20 per kilowatt-hour, how much does a laptop cost to operate for 10 hours?A )8 centsB )800 centsC )40 centsD) 200 cents

Answers

A) 8 cents

Explanation

Step 1

find the rate

[tex]\begin{gathered} \text{rate}=\text{ 40 }\frac{\text{w}}{h} \\ \end{gathered}[/tex]

cost

[tex]\begin{gathered} \text{ Cost= 0.20 per 1000 wats hour} \\ \end{gathered}[/tex]

hence

total cost = time*rate*consume

[tex]\begin{gathered} \text{ Total cost = 10 hours}\cdot40\frac{w}{h}\cdot0.2\frac{\text{ \$}}{1000\text{ w}} \\ \text{ Total cost =}0.08\text{ dollars} \end{gathered}[/tex]

now, to convert from dollars to cents, multply by 100

[tex]\text{ Total cost =}0.08\text{ dollars}\cdot(\frac{100\text{ cents}}{1\text{ dollar}})=8\text{ cents}[/tex]

I hope this helps you

Write an phrase that would translate into the following mathematical expression: 8z- 2 ?

Answers

The mathematical expression 8z - 2 can be phrased as:

The difference between 8 times the variable z and 2.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Any mathematical object has a symbol, and that symbol is called a variable. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.

Consider the mathematical expression,

8z - 2

The expression can be defined as 2 less than the product of 8 and variable z.

The expression can also be rephrased as:

The difference between 8 times the variable z and 2.

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Pythagorean TheoremFor the following right triangle, find the side length x. Round your answer to the nearest hundredth.18Х11

Answers

Solution

For this case we can use the Pythagoras theorem and we have:

[tex]18^2=11^2+x^2[/tex]

And solving for x we got:

[tex]x=\sqrt[]{18^2-11^2}=\sqrt[]{324-121}=\sqrt[]{203}=14.25[/tex]

Then the answer is:

14.25

If f(x) = 4x - 1 and g(x)=2x-4, what is (fog)(x)?

Answers

The value of the composite function (f o g)(x) is 8x - 17

How to evaluate the function?

The definition of the functions are given as

f(x) = 4x - 1

g(x) = 2x - 4

The composite function definition is given as

(f o g)(x)

This composite function is calculated using the following composite function formula

(f o g)(x)= f(g(x))

Substitute the known values in the above equation

So, we have the following equation

(f o g)(x) = 4(g(x)) - 1

So, we have the following equation

(f o g)(x) = 4(2x - 4) - 1

Open the brackets

(f o g)(x) = 8x - 16 - 1

Evaluate

(f o g)(x) = 8x - 17

Hence, the composite function is (f o g)(x) = 8x - 17

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What is the mean absolute deviation of 10,4,12,4,2,10,10,6

Answers

3.25 is the mean absolute deviation of 10,4,12,4,2,10,10,6

What is Mean absolute Deviation?

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set.

Given data:

10,4,12,4,2,10,10,6

Using the formula

Mean Absolute deviation = ∑(xi - x)/n

Mean = (10+ 4+ 12 +4+ 2+ 10 + 10+6)/8

= 58 / 8

= 7.25

Now,

10-7.25 = 2.75

4-7.25= -3.25

12-7.25=4.75

4-7.25=-3.25

2-7.25=-5.25

10-7.25=2.75

10-7.25=2.75

6-7.25=-1.25

mean absolute deviation=(2.75+3.25+4.75+3.25+5.25+2.75+2.75+1.25)/8

=26/8

=3.25

Hence 3.25 is the mean absolute deviation of 10,4,12,4,2,10,10,6.

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which object gives off the greatest intensity of blue light? in the context of quality function deployment, one of the first steps to build the house of quality is to: a. advertise, market, and offer the product to customers. b. evaluate the marketplace. c. identify the technical features of the design of the product. d. conduct prototype testing. A) 104 units^2 B) 2184 units^2 C) 248 units^2 D) 250 units^2 How did automobile manufacturing affect the city of Detroit? Jamie earned 18 more points on her test than Paul earned. Their points add up to 60. How many points did each student earn? Calculate the horizontal component Fx of the supporting force on point B for the configuration given in the Figure. The mass of the weight W is m-3.0kgr. Provide your answer in Newtons (Nt). Write a verbal expression for each algebraic expression.a. 6b. 12m a number m is no less than -1 or less than or equal to -5 1/3 Solve for x.+8=-6 what's the answer Pls help I will give brainliest to the most helpful answer. This doesnt make sense, there is no angle so I cant use Fnet=mgcos(theta) and cant find acceleration in a=mgsin(theta). what is the most important consideration when collecting, transmitting, and storing data related to health care? If A = {x|x is an even integer}, B = {x|x is an oddinteger}, andC= {x|x Which is the approximate percentage change in water constant after maple tree sap became maple syrup? GEOMETRY IAWhat is the coordinate of the midpoint of RP? what kind of error results if a programmer used the formula length width to calculate the area of a rectangle when it should be length * width *PLEASE HELP I BEG* can someone help me turn the position-time graphs into velocity-time graphs. What is the process of dust clumping together to form bigger and biggerpieces? mr. gavin has had polyuria for several weeks. when he went to the doctor, his urinalysis was normal. further studies revealed that mr. gavin had a disorder that affected the release of adh. which function of the urinary system was affected? to cope with the effects of the great depression, mexican americans formed , traditional societies that provided insurance and sickness benefits to members.