Solve for Inequality 5-1/2 x >30

When convert it into rectangular form we get x=-1/2 and y=0.

To convert a point in polar coordinates (r, θ) to rectangular coordinates (x, y), you can use the following formulas:

[tex]x = r * cos(θ) \\y = r * sin(θ)[/tex]

Where r is the distance from the origin to the point, and θ is the angle in radians between the positive x-axis and the line connecting the point to the origin.

Alternatively, you can also convert from rectangular to polar coordinates using the following formulas:

[tex]r = sqrt(x^2 + y^2)\\θ = atan2(y, x)[/tex]

Where x, y are the rectangular coordinates and atan2 is a function that computes the angle of a point in a cartesian plane.

In general, it's worth noting that the polar coordinates are often used in some physics and engineering problems, while the rectangular coordinates are often used in computer graphics, analytic geometry and other fields.

The angle of 1's inverse tangent is 45°. This is the outcome of translating to polar coordinates in the form (r,theta).

To convert it into rectangle equation we have

[tex]x=rcos(theta)\\y=rsin(theta)\\r=1\\theta= 3*pi/2\\x= cos(3*pi/2)\\x= -1/2\\y=sin(3*pi/2)\\y=0[/tex]

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Answer:

4c=4d

-remember to change the signs/symbols and do the like terms

The expression does not represent next year's population is 0.991. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the population of a city decreases by 0.9% per year. The expression for the population depreciation is,

Population = ( 100% - 0.9%)P

Population = (1 - 0.009)P

Population = 0.991P

Hence, the expression not representing the depreciation is 0.991.

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Answer:

B. 54π

Step-by-step explanation:

Surface area of cylinder = 2πrh + 2πr²

Radius = 3 cm

Height = 6 cm

Plug in the values

Surface area of the cylinder = 2*π*3*6 + 2*π*3²

Surface area = 36π + 18π

Surface area = 54π

Answer:

c

Step-by-step explanation:

there's 6 squares

Answer:

the answer for this question is C

Answer:

1.no,2.yes 3.yes 4.no

Step-by-step explanation:

rhombuses are subcategories of squares. some isosceles triangles have angles more than 90 degrees or 90 degrees exact

Answer: The answer to your question is the letter B. May want to assess it before answering.

Answer:

it's equal to = 242 =484. I think so that's the right answer please

The sum of the given two expressions -7g and 4g+2 is -3g+2.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.

There are mainly 3 types of algebraic expressions which are:

The sum of given expressions , -7g and 4g+2 can be performed as follows:

   -7g + (4g + 2)

=  (-7+4)g + 2

= -3g + 2

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Answer/Step-by-step explanation:

According to the Hing e Theorem states when two triangles have two congruent sides but have different included angle measure, the largest angle is said to be definitely opposite the longer of the sides.

In the figure given, since both triangles have two corresponding sides that are congruent (BA = BB and BD = BD), and the included angle measure are different, therefore, the greater third side would be the side opposite to the included angle that is the greatest.

Thus, CD is opposite to the greater included angle (28°), therefore, CD> AD

Answer:

the answer would be 56.

y=14(4)

y=56

Answer:

10 busses

Step-by-step explanation:

285÷30=9.5

9.5 would round up to 10

Answer:

Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?

The car is faster

Find the unit rates

The car is going 30 feet in 1 second(600 divide by 20 = 30)

The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)

Compare the unit rates

30 > 25

Step-by-step explanation:

Answer:

Hakim's car is faster.

Step-by-step explanation:

Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.

So for Hakim, the unit rate are 30 feet per second because 600/20 = 30

For Andre, the unit rate is 25 feet per second because 600/24 = 25

Hakim's car goes faster because 30 is greater than 25.

Answer:

Step-by-step explanation:

hope this helps you out with the problem

Answer:

He would need to save $22 dollars each week to pay for the bike in 7 weeks.

Step-by-step explanation:

We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.

So he needs to pay 22 dollars each week to pay off the bike in seven weeks

Answer:

$6.30

Step-by-step explanation:

Alright, so, to find the unit rate (how much 1 pound of corn would cost) you would divide $15.60 by 12 which would get you $1.30.

Cost of 1 pound of corn = $1.30

So the unit rate = $1.30

Now that you know the unit rate, or how much 1 pound would cost, you can find out how much 5 pounds would cost:

$1.30 x 5 = $6.50

Steps:

1. $15.60/12 = $1.30

2. $1.30 x 5 = $6.50

Five pounds of corn costs $6.50 at a unit rate of $1.30.

Hope this helps! :)

Answer:

How many Boston residents use public transportation

Step-by-step explanation:

Answer:

D. How many times per month do Boston residents use public transportation

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.statistical meaning  of, relating to, based on, or employing the principles of statistics statistical analysis. Other Words from statistical More Example Sentences

Answer: x = 13 and x = –29

Step-by-step explanation:i hope i help you

Answer:

To find the values of x that make the equation (x – 7)^2 = 36 true, you can start by undoing the square on the left side of the equation. Since (x – 7)^2 = (x – 7)(x – 7) = x^2 - 14x + 49. Then we know that x^2 - 14x + 49 = 36.

Now, you can add 14x and 49 to both sides to get x^2 = 50.

To find the values of x that make this equation true, we need to find the square root of both sides. So x = ±sqrt(50).

And the two values of x that will make the equation true are x = ±sqrt(50) = ±7sqrt(2). And it is not in the options given, which are x = 13, x = 1, x = -29, x = 42.

Step-by-step explanation:

The equation will be  [tex]y=40000+16000*x[/tex]

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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answer to this question is simple 7 4/9

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

So, the equation is

[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]

and x=y=1

so, 648/1296 = 0.5

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The amount of rain required would be 2.5 inches.

What is the addition?

Addition is a mathematical operation that represents the process of combining two or more numbers together. The result of this operation is called the sum. The addition operation is often represented using the symbol "+", and it can be used to add any two or more numbers together.

To beat the record by one-tenth of an inch, an additional 0.1 inches of rain must fall.

Currently, the average amount of rain per day is 12 inches / 5 days = 2.4 inches per day.

So, the amount of rain that must fall on Friday to beat the record by one-tenth of an inch is 2.4 inches + 0.1 inches = 2.5 inches

Hence, the amount of rain required would be 2.5 inches.

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Answer:

3×4×5=60 ft cubed

Step-by-step explanation:

multiply length ×width ×height the answer is in cubic units for volume

Having Substituted the given data into the volume formula, the volume was gotten as  60ft^3

Given Data

The expression for the volume of a tank is given as

Volume of tank = Length *widht*Height

Substituting our given Data into the expression for the volume formula we have

Volume of tank = 3*5*4

Volume of tank = 60ft^3

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Answer:

Mean - 6.2  Median - 7  Mode - 9

Step-by-step explanation:

You can find the mean by adding all the given numbers and dividing them by how many numbers you added.

The median is the middle value of the set of numbers, order them from least to greatest and find the middle value.

Mode is the number that occurs the most.

Answer:

Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair negative 3, negative 2.

Step-by-step explanation:

Obviously, the appropriate graph will be one with the two lines plotted. Properly plotted, they will intersect at (-3, -2).

Answer:

sory

Step-by-step explanation: