The cartesian coordinates of a point are given. (a) (2, −2) (i) find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π.

Answers

Answer 1
it would be r,o beacuse of the grid cordinates in the sentence


Related Questions

WILL GIVE A BRAINLEST AND 20PTS


A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?


R0, 90°

R0, 180°

R0, 270°

R0, 360°

Answers

If you picture the coordinate plane and you have some point (x,y) rotating it full circle: 360° would return it to it's original location (x,y).

Answer:- R(0, 360°) is the right answer.


Given: A parallelogram is transformed according to the rule (x, y) → (x, y).

⇒The points of the image is same as the points of the original figure.

⇒ The given mapping create an image onto itself.

We know that the mapping of all points of a figure in a plane is done by  basic rigid transformations such as translation, reflection or rotation.

In rotation to create a image that is onto itself , then the rotation must be about 360°, so that the rotation will take a complete turn to get back  the original figure with the same points.

Thus in rotation the another way to state the transformation is R(0, 360°).

The Tigers won twice as many football games as they lost. They played 96 games. How many games did they win?

Answers

w + L = 96
w = 2L

2L + L = 96
3L = 96
L = 96/3
L = 32.....so they lost 32

w = 2L
w = 2(32)
w = 64 <== they won 64 games

What is the remainder when 1,095 is divided by 7?
A) 3
B) 4
C) 5
D) 6

Answers

the answer is a or 3

When you divide 1095 and 7 you get;

1095 / 7 = 156 

156 * 7 = 1092

1095 - 1092 = 3.

Worth 37 points answer asap
this is a college question

a farmer is given 500 ft of fencing. He will be constructing a rectangular coral to keep pigs and sheep, however he wants to keep them separate so there will be a wall of fence in the middle of the coral as well (the dividing wall will be parallel to 2 of the sides). What are the dimensions of the coral that will maximize the area, and what is the area?

Answers

hi therrre you are an awesome person


Let the width of the corral be x and the length of the whole (undivided) corral be y.  We want to maximize the area.  A = xy.
He has 500 feet of fencing, 3x of which is taken up by the shorter ends and the dividing wall of the corral, and 2y of which is taken up by the longer sides.
Then 3x+2y=500 ft.  Supposing that we choose to solve for x first:  2y=500-3x, or 
        500-3x
y = ------------
            2
                                                                          500-3x
Then the formula for the area becomes A = x[-----------]
                                                                                2

2A = 500x -3x^2.  We must differentiate both sides with respect to x:

2(dA/dx) = 500 - 6x and seet this derivative equal to zero to find the critical value(s):

0 = 500 - 6x   becomes 6x = 500, or x = 250/3, or 83 1/3 feet.  Earlier, we saw that
        500-3x
y = ------------
            2

so, to calculate y, we substitute x=83 1/3 feet into that formula:

        500-3(250/3)
y = -------------------- ft = 250/2 ft = 125 ft.

           2


The area is then A = xy, or (83 1/3 ft)(125 ft) = 10,416 2/3 square feet.


A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase with his budget

a.$1.75x ≤ $25

b.$1.75x ≥ $25

c.$25x ≤ $1.75

d.$25x ≥ $1.75

it is multiple choice

Answers

1.75x < = 25....with x being the number of boxes of crayons

the reason it is less then or equal is because he can only spend at most $ 25
Final answer:

The correct inequality to solve for the number of boxes of crayons Mr. Valentino can purchase with his budget is $1.75x ≥ $25.

Explanation:

The correct inequality to solve for the number of boxes of crayons Mr. Valentino can purchase with his budget of $25 is b. $1.75x ≥ $25.

This inequality states that the product of the cost per box, $1.75, and the number of boxes, x, must be greater than or equal to $25 to remain within his budget.

You can solve this inequality by dividing both sides by $1.75 to find the minimum number of boxes he can buy and still stay within his budget.

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The weights of steers in a herd are distributed normally. the standard deviation is 200 lbs and the mean steer weight is 1300 lbs. find the probability that the weight of a randomly selected steer is between 1000 and 1437 lbs. round your answer to four decimal places.

Answers

Given a mean = 1300 and a Ď = 200, we can calculate that the lower bound of 1000 is (1000 - 1300) / 200 = -1.5 standard deviations below the mean. The upper bound is (1437 - 1300) / 200 = 0.685 standard deviations from the mean. Using the cumulative distribution function, we can calculate that the probability a randomly chosen steer lies on the interval [1000, 1437] is CDF(0.685) - CDF(-1.5) = 0.68652083824480004 p = 0.6865

Is 4/25 greater than 0.28

Answers

No

4/25 - .16
vs
0.28


4/25=16/100 or 0.16, so it is less than 0.28

A trial has markers every 1/8 mile. Jody starts at the 2 1/4-mile marker, hikes to the 4 3/8-mile marker, and then hikes back to the 1 1/2 mile marker. Did Jody hike more than 4 miles? Explain.

Answers

I think so because she started at 2 1/4 then hiked to 4 3/8. That is roughly 2 miles and then from there she joked all the way back to 11/2
1) determine how many miles Jody hikes when she leaves from the 2 1/4 mile marker and arrives at the 4 3/8 mile marker, by subtraction:

4 3/8 - 2 2/8 = 2 1/8 miles.

2) determine how many miles she hikes, leaving the 4 3/8 mile marker and arriving at the 1 1/2 mile marker.  Again, subtract:

4 3/8 - 1 4/8 =   3 11/8 - 1 4/8 = 2 7/8 miles.

Adding together 2 1/8 miles and 2 7/8 miles, we get 5 miles.

Did Jody hike more than 4 miles?  You decide.


1/2 (4-k)=2/5
Distribute and find LCM

Answers

Answer:

20 -5k = 4the LCM of the denominators is 10

Step-by-step explanation:

I find it convenient to do the problem in the reverse order: find the LCM, then distribute. That way, I'm not distributing a fraction.

The LCM of 2 and 5 is their product: 2·5 = 10. Multiplying the equation by 10 gives ...

  5(4 -k) = 4

Now, distributing, we get ...

  20 -5k = 4

17.50 with a 7% sales tax?

Answers

17.50 times .07 equals 1.23 
17.50 plus 1.23 equals 18.73
the answer is $18.73

To find the total cost of an item with sales tax, convert the tax rate to a decimal, multiply by the item's price, add the result to the original price, and round to the nearest cent. A $17.50 item with a 7% sales tax would cost a total of $18.73 after tax.

To calculate the total cost of an item with sales tax, you first need to determine the amount of sales tax by converting the percentage to a decimal and then multiplying by the item's cost. For an item priced at $17.50 with a 7% sales tax, you would convert 7% to a decimal (0.07) and then multiply this by $17.50. Therefore, the calculation would be:

Sales Tax = $17.50 x 0.07 = $1.225

Once you have the sales tax amount, you add it to the original price to find the total cost:

Total Cost = Original Price + Sales Tax

$17.50 + $1.225 = $18.725. After rounding to the nearest cent, the total cost would be $18.73.

The price of an item selling at 150% of its $63 value is

Answers

I'm pretty sure what you should do in this situation is multiply 63 by 150% (63x1.5) which would give you 94.5. The reasoning is, if you know some math terms, you would know that if a world problem has the word of in between two numbers or something (in this case $63 and 150%), it means multiply them.
:D

Answer:

94.50

Step-by-step explanation:

i used a calculator

In professor shannon's economics class there are 12 male students. females represent 60% of the class total. how many students does professor shannon have in his economics class?

Answers

he has 30 students in his class because 40% of the class is boys and there is 2.5 40% in 100% so we do 12 x 2.5

Answer:

There are total 30 students in the class.

Step-by-step explanation:

Let the total number of students in class = x

Number of males in the class = 12

Number of females in the class = 60% of Total students = 60% of x = 0.6x

So, we get that,

Number of males + Number of females = Total students

i.e. [tex]12+0.6x=x[/tex]

i.e. [tex]12=x-0.6x[/tex]

i.e. [tex]12=0.4x[/tex]

i.e. [tex]x=\frac{12}{0.4}[/tex]

i.e. x = 30

Thus, there are total 30 students in the class.

The equations for two lines in the coordinate plane are 2dx - y = -4 and 4x - y = -6, where d represents an unknown value. What value(s) of d would make these lines perpendicular?

Answers

Final answer:

The value of d that makes the lines 2dx - y = -4 and 4x - y = -6 perpendicular is -1/8, as this value makes the product of their slopes equal to -1.

Explanation:

To determine which value(s) of d would make the two lines perpendicular, we have to evaluate the slopes of the two lines and set their product to be -1, since perpendicular lines have slopes that are negative reciprocals of each other. Rearranging the first equation, 2dx - y = -4, we get y = 2dx + 4, which has a slope of 2d. For the second equation, 4x - y = -6, rearranging gives y = 4x + 6, with a slope of 4.

The product of the slopes of two perpendicular lines should be -1, so:

(2d) * 4 = -1

Solving for d: d = -1/8.

Thus, when the value of d is -1/8, the two lines are perpendicular.

What is the zero r(x)=3/8x-16 ?

Answers

Add 16 to both sides
Multiply both sides by 8/3 x= 128/3
Simplify : x= 42.66repeating so 42 and 2/3rds

if 5 doses of medicine weigh 29.925 grams, how much would 1 dose weigh?

Answers

5.985

29.925 divided by 5

Janet earns $300 per week plus a commission of 10% on all sales that she makes. Write a formula for E, Janet's weekly earnings, in term of s, her sales for the week. Then solve your firmula for s

Answers

10/100= 0.1
0.1 x 300

E= 0.1(s) (300)
E = 300 + 0.1s
s being the sales that she makes
s = (E - 300) / 0.1

The amount of cholesterol in a person's body produced by their liver and other cells is proposed to be normally distributed with mean 75% and standard deviation 0.5%. the probability that a person produces more than 76.7% of the cholesterol in their body is

Answers

Final answer:

After standardizing the given value using a Z-score, it is found that the probability of a person producing more than 76.7% of the cholesterol in their body is essentially zero.

Explanation:

The question is asking for the probability that a person produces more than 76.7% of the cholesterol in their body, given this production is normally distributed with a mean of 75% and a standard deviation of 0.5%. To calculate this, we can utilize Z-score which standardizes the deviation of a value from the mean, considering the standard deviation.

The Z-score for the value 76.7% is calculated as follows: (76.7 - 75) / 0.5 = 3.4.

Using the standard normal distribution, the probability of a Z-score being above 3.4 is extremely low, it's practically zero. Therefore, the probability that a person produces more than 76.7% of the cholesterol in their body is essentially zero.

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To get to a dog show, Mr. Luna first drives 7 miles west from his home and then 3 miles north. Next, he turns east and drives 11 miles. Finally, he turns north and drives 4 miles to the dog show. How far north of Mr. Luna's home is the dog show?

Answers

All the other stuff, east/west, doesn't matter.

He drives 3 miles north, then later on he drives 4 more miles north:
3 + 4 = 7

The dog show is 7 miles north of his home.

Answer:

Step-by-step explanation:

What is the side length of a cube that has a volume of 24 cm 3?

Answers

Side length^3 = volume = 24
So the cubed root of 24 is the side length.
Side length = 2.8845 cm

Compare 7 x 103 and 2 x 103.

A) 7 x 103 is 3.5 times larger than 2 x 103
B) 7 x 103 is twice as large as 2 x 103
C) 7 x 103 is 3 times larger than 2 x 103
D) 7 x 103 is 5 times larger than 2 x 103

Answers

The answer is A) 7x103 is 3.5 times larger than 2x103
Final answer:

The expression 7 x 10³ is 3.5 times larger than 2 x 10³ because the power of 10 is the same in both, so we simply compare the coefficients 7 and 2.

Explanation:

The student is asking to compare two expressions written in scientific notation: 7 x 10³ and 2 x 10³. Scientific notation allows us to write very large or very small numbers conveniently and is commonly taught in middle school math.

To compare these two expressions, we can look at the coefficients (7 and 2) because the powers of 10 are the same in both expressions (10³). Since these powers are the same, comparing the coefficients directly will give us the relationship between the two expressions. Here, 7 is simply 3.5 times as large as 2, so we can say that 7 x 10³ is 3.5 times larger than 2 x 10³.

In terms of the answer choices provided by the student, we can thus conclude that the correct answer is:

A) 7 x 10³ is 3.5 times larger than 2 x 10³

2 divided by 880 = ?

Answers

The answer is 440 because 2 goes into 8 4 times.
Hoped this helped. :)

Kersha has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays her $12.00 per hour. Her cashier job pays her $8.25 per hour. In one week, Kersha worked 55 hours. She earned a total of $585.

How many hours did Kersha work in each job?

a.) Office clerk: 35 hours; cashier: 20 hours

b.) Office clerk: 31 hours; cashier: 24 hours

c.) Office clerk: 20 hours; cashier: 35 hours

d.) Office clerk: 28 hours; cashier: 27 hours

Answers

Let x =  hours worked as a clerk ($12 per hour).
Let y = hours worked as a cashier ($8.25 per hour).

She worked 55 hours, therefore
x + y = 55             (1)

She earned $585, therefore
12x + 8.25y = 585        (2)

From (1), obtain
y = 55 - x           (3)

Substitute (3) into (2).
12x + 8.25(55 - x) = 585
12x + 453.75 - 8.25x = 585
3.75x = 131.25
x = 35
y = 55 - x = 55 - 35 = 20

Answer: a)  Office clerk: 35 hours; cashier: 20 hours.

Sam’s parents agreed to pay 25 percent of the cost of a new bike if Sam paid the rest.If Sam’s parents paid $65, what was the price of Sam’s new bike?

Answers

$260 Is the cost of Sam's new bike.
100 divided by 25 equals 4. If 25% of 100% was paid (65$), multiply 65 by the remaining "3 25%" (65 multiplied by 3 equals 195). Sam paid a total of $195 (75%), his parents paid a total of $65 (25%), and the total cost of the bike was $260.

Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form? A. 7×2×2⁄3×2×2 B. 3⁄7 C. 3×2×2⁄7×2×2 D. 6×2 ⁄7×4

Answers

IF you write the numerator and denominator in prime factor form you get:

12 = 2*2*3. 28 = 2*2*7.

So 12/28 = 2*2*3 / 2*2*7.

 So the correct answer is B.3*2*2 / 7*2*2.
The answer is C. Hoped this helped
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what is 31 billion in scientific notation

Answers

we know that

[tex] 1 billion=1,000,000,000 [/tex]

In scientific notation

[tex] 1,000,000,000=1*10^{9} [/tex]

To find the value of [tex] 31 billion [/tex]

Multiply the value of one billion for [tex] 31 [/tex]

so

[tex] 31*1*10^{9} =31*10^{9}\\ =3.1*10^{10} [/tex]

therefore

the answer is

[tex] 3.1*10^{10} [/tex]

The scientific notation of [tex]31 \text{billion}[/tex] is [tex]\boxed{3.1 \times \left( {{{10}^{10}}} \right)}[/tex].

Further explanation:

Scientific notation is also called as the standard form of writing a number.

The number has two parts in the scientific notation.

First part is digits or digit with decimal and the second part is 10 to the power.

If the number is greater than 10, move the decimal point to the left.

If the number is less than 10, move the decimal point to the right.

Calculation:  

One billion is equal to [tex]1000000000[/tex].

In scientific notation one million can be expressed as,

[tex]\boxed{{\text{1}}\,{\text{billion}} = {10^9}}[/tex]

Thirty one billion is equal to [tex]31000000000[/tex].

Now find the scientific notation SN of 31 billion.

[tex]\begin{aligned}\text{SN} &= 31000000000 \\&= 31 \times \left( {{{10}^9}} \right) \\&= 3.1 \times \left( {{{10}^{10}}} \right) \\ \end{aligned}[/tex]

The first part of the scientific notation is [tex]\boxed{3.1}[/tex].

The second part of the scientific notation is [tex]\boxed{{10^{10}}}[/tex].

Hence, the scientific notation of [tex]31 \text{billion}[/tex] is [tex]\boxed{3.1 \times \left( {{{10}^{10}}} \right)}[/tex].

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Scientific notation

Keywords: scientific notation, one billion, thirty one billion, million, standard form, first part of scientific notation, second part of scientific notation, power.

Which expression is equivalent to ? m-4/m+4 / (m+2)

Answers

im guessing its B but im not sure

Answer:

[tex]\frac{m - 4}{m + 4} / (m + 2)[/tex] is equivalent to   [tex]\frac{(m - 4)}{(m + 4)(m + 2)}[/tex]

Step-by-step explanation:

Given Parameters;

(m-4)/(m+4) and (m+2)

Required:

To divide and write out the equivalent expression.

Two or more expressions are said to equivalent if and only if they give the same result.

Solving (m-4)/(m+4) divided by (m+2)

We have

[tex]\frac{m - 4}{m + 4}[/tex] divided by [tex]m + 2[/tex]

[tex]= \frac{m - 4}{m + 4} / (m + 2)[/tex]

Convert division to multiplication

[tex]= \frac{m - 4}{m + 4} *\frac{1}{(m + 2)}[/tex]

= [tex]\frac{(m - 4) * 1}{(m + 4) * (m + 2)}[/tex]

[tex]= \frac{(m - 4)}{(m + 4)(m + 2)}[/tex]

We can't simplify any further;

Hence, [tex]\frac{m - 4}{m + 4} / (m + 2)[/tex] is equivalent to   [tex]\frac{(m - 4)}{(m + 4)(m + 2)}[/tex]

To check if this is true

Let m = 1

[tex]\frac{m - 4}{m + 4} / (m + 2)[/tex] becomes

[tex]\frac{1 - 4}{1 + 4} / (1 + 2)[/tex]

[tex]\frac{-3}{5} / (3)[/tex]

[tex]\frac{-3}{5} * \frac{1}{3}[/tex]

[tex]\frac{-1}{5}[/tex]

And

[tex]\frac{(m - 4)}{(m + 4)(m + 2)}[/tex] becomes

[tex]\frac{(1 - 4)}{(1 + 4)(1 + 2)}[/tex]

[tex]\frac{(-3)}{(5)(3)}[/tex]

[tex]\frac{-1}{5}[/tex]

Hence, [tex]\frac{m - 4}{m + 4} / (m + 2)[/tex] is equivalent to   [tex]\frac{(m - 4)}{(m + 4)(m + 2)}[/tex]

Jason draws a line in the sand at the beach the line is 7/8 feet long he wants to divide the line into sections that are 1 8 feet long how many sections with a line be divided into?

Answers

The answer is 7 sections
In this type of question, you just need to divide the total length of the line that drawn by Jason with the length of sections that Jason want.

So, the calculation would be:

(7/8) / (1/8)

= 7/8  x 8/1

= 7 amount of sections
The answer is 7 sections

Find the equation of a cosine curve that is obtained by shifting the graph of y=cos(x) to the left 5 units and upward 9 units and vertically compressed by a factor of 4 and vertically flipped

Answers

Wow!
1) shift graph to the left 5 units:  y = cos (x+5)
2) shift graph upward 9 units:      y = cos (x+5) + 9
3) vertically compressed by a factor of 4:  y = (1/4) cos (x+5) + 9
4) vertically flipped:    y = -(1/4) cos (x+5) + 9

We want to find the equation of a cosine function after we apply some given transformations to it.

The equation of the resulting cosine curve is:

g(x) = -(1/4)*cos(x + 5) - 9/4.

Let's see how we got that equation:

First, we need to define all the transformations that we will be using:

Vertical shift:

For a given function f(x) a vertical shift of N units is written as:

g(x) = f(x) + N.

If N is positive the shift is upwards.IF N is negative the shift is downwards.

Horizontal shift:

For a given function f(x) a horizontal shift is written as:

g(x) = f(x + N).

If N is positive the shift is towards the left.If N is negative the shift is towards the right.

Vertical compression.

For a function f(x) a vertical compression by a factor k is written as:

g(x) = (1/k)*f(x).

Vertical flip (or vertical reflection).

For a general function f(x) a vertical reflection is written as:

g(x) = -f(x).

So we start with:

f(x) = cos(x).

First we shift it to the left 5 units, so we get:

g(x) = f(x + 5)

Then we shift it up 9 units, then we get:

g(x) = f(x + 5) + 9

Then we compress it vertically by a factor of 4:

g(x) = (1/4)*(f(x + 5) + 9)

Then we flip it vertically:

g(x) = -(1/4)*(f(x + 5) + 9)

Replacing f by the cosine function we get:

g(x) = -(1/4)*( cos(x + 5) + 9)

g(x) = -(1/4)*cos(x + 5) - 9/4.

This is the equation of the resulting cosine curve.

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A line passes through (2, −1) and (4, 5).

Which answer is the equation of the line?

(choices in picture)

Answers

the easiest way is to plug the x and y values in the equation to see which one works
in this case, it is B
-3(2)+(-1)=-7
-3(4)+5=-12
Both points work for the equation

Answer:

Yep the answer is −3x+y=−7

Step-by-step explanation:


Ingrid collected 6 cans of food and 18 boxes of food for the food bank. Which describes the relationship between cans of food and boxes of food?

Answers

The relationship between the cans of food and boxes of food that Ingrid collected can be determined by the mathematical equations involving addition/subtraction and multiplication/division.

 For addition/subtraction:

   D = x – y

Where D is difference, x is the number of cans of food, and y is the boxes. Substituting the known values,

    D = 6 – 8 = -2

 For multiplication/division:

   R = x/y

Where R is the ratio. Substituting the known values,

   R = 6/8 = ¾ = 0.75

The relationship between the number of cans of food and boxes of food collected by Ingrid is a ratio of 1 can to 3 boxes after simplification. This means there is 1 can for every 3 boxes.

Ingrid collected 6 cans of food and 18 boxes of food for the food bank. To describe the relationship between cans of food and boxes of food, we can use a mathematical ratio.

The ratio of cans to boxes is calculated by dividing the number of cans by the number of boxes. This gives us:

6 cans : 18 boxes

To simplify this ratio, we divide both numbers by their greatest common divisor, which is 6:

6 ÷ 6 = 1

18 ÷ 6 = 3

Therefore, the simplified ratio is:

1 can : 3 boxes

This means there is 1 can of food for every 3 boxes of food. This ratio helps us understand the proportional relationship between the two quantities.

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