-(x - 2y) + (2x + 6y) , simplify by removing parenthesis and, if possible, combining like terms

Answer:

You would have to add the options.

Step-by-step explanation:

The area of QOR from the given diagram is 2π square centimeters

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Given the following parameters

<QOR = 180 - <POQ

<QOR = 180 - 135

<QOR = 45 degrees

Determine the radius

L = rβ

π = r(π/4)

1 = r/4

r =  4

Determine the area of QOR

Area = 4²(π)/8

Area = 2π

Hence the area of QOR from the given diagram is 2π square centimeters

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The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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Answer:

  (b)  (3,-1)

Step-by-step explanation:

One can determine the correct answer by checking to see if it satisfies the equations.

The first equation can be rewritten to ...

  x = 6 +3y . . . . . . . add 3y to both sides

This makes it easier to check answer choices:

  a) -1 = 6 +3(3) . . . . no

  b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution

  c) 1 = 6 +3(-3) . . . . no

  d) -3 = 6 +3(1) . . . . no

__

Additional comment

We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:

  2x +2y = 4 . . . for (x, y) = (3, -1)

  2(3) +2(-1) = 4 . . . . yes

The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

The distributive property is given as:

a(b + c) = ab + ac

3(20 + 16) = 3(20) + 3(16) = 60 + 48 = 108

Also:

4(13 + 14) = 4(13) + 4(14) = 52 + 56 = 108

The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

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Answer:

\frac{27}{17}+\frac{28}{17}i

Step-by-step explanation:

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

Well, I think that the answer is l-2l + l9l

Step-by-step explanation:

I think that it is l-2l + l9l. First off, an absolute value is the distance between a number and zero.

An absolute value is always positive. For example, l4l = 4 because it is always positive.

Opposites are numbers that are the same distance from zero in opposite directions. For example, -4 = 4.

On this case, the absolute value of (-2,3) is l-2l because in the coordinate graph, it is on Quadrant 2. What you need from the graph is the x-axis which is -2.  So you get, I-2I

And, the absolute value of (9,3) is I9I because in the coordinate graph, it is on Quadrant 1. Again, What you need from the graph is the x-axis, which is 9. So you get, I9I.

And if you are finding the distance between the two points, you need to add. So, there you have it, I-2I + I9I. Hopefully, it's right. :)

The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.

We can use the conservation of momentum equation:

(mboat + mperson) * vboat = mperson * vperson

(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)

230 kg * vboat = 56 kg * (0.80 m/s + vperson)

vboat = (56/230) * (0.80 m/s + vperson)

vperson = 0.80 m/s + vboat

vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)

(174/115) * vperson = (504/115) * m/s

Dividing both sides by (174/115), we get:

vperson = 2.896 m/s

vboat = (56/230) * (0.80 m/s + vperson)

Substituting the value of vperson, we get:

vboat = 1.337 m/s

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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.

Answer:

-23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + c

f(4) = -7

Step 2: Solve for c

When there are only two potential outcomes for each trial and the chance of success is constant across all trials, the binomial distribution is used to model the probability of a specific number of successes in a fixed number of independent trials.

Binomial, geometric, and Poisson distributions are probability distributions that are used in different situations depending on the nature of the problem being analyzed.

The binomial distribution is used to model the probability of a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant for each trial. Some examples of situations where the binomial distribution is applicable include:

The geometric distribution is used to model the probability of the number of trials needed to achieve the first success in a sequence of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant for each trial. Some examples of situations where the geometric distribution is applicable include:

The Poisson distribution is used to model the probability of a certain number of events occurring in a fixed time interval, where the events occur randomly and independently of each other, and the average rate of occurrence is constant. Some examples of situations where the Poisson distribution is applicable include:

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The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

Step-by-step explanation:

chickennnnnnnnn

Answer:

Step-by-step explanation:

10 = 2(x - 2)

How would I solve for X?

10 = 2(x - 2)

10 = 2x - 4

14 = 2x

x = 7

--------------------

check

10 = 2(7 - 2)

10 = 2 x 5

10 = 10

the answer is good

Answer:

x=7

Step-by-step explanation:

Given:

A linear equation is given as:

\(10=2(x-2)\)

To Find:

The objective is to solve the equation and find the value of x.

Explanation:

\(10=2(x-2)\\\)

⇒ \(\frac{10}{2}=x-2\)

⇒\(5=x-2\)

⇒ \(x=7\)

Final Answer :

The value of x is 7.

The total area of clothes used is 12627m².

It is important to note that a football is in the shape of a sphere. Therefore, the area of a ball will be:

= 4πr²

In this case, the radius which is represented by r is given as 9.15m.

The area will be:

= 4πr²

= 4 × 3.142 × 9.15²

= 1052.22

Therefore, since there are 12 pitches, the area will be:

= 1052.22m² × 12

= 12627m²

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Answer:

11 yard

Step-by-step explanation:

Let the 3rd side be 'a'.

Perimeter = 36

=> sum of sides = 36

=> 10 + 15 + a = 36

=> 25 + a = 36

=> a = 36 - 25

=> a = 11

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

Answer:  -4 3/4

Step-by-step explanation:

Above is the answer if you have a drop down menu, because I have a drop down menu.

Answer:

B

Step-by-step explanation:

i got it right

Answer:$940.1

Step-by-step explanation:

13.43x70=940.1

70,000/1000=70

1000x70=70000

13.43x70=940.1

Answer:

Step-by-step explanation:

We can solve by means of a system of equations:

let x register $ 10

let y register $ 50

Now, we have:

10 * x + 50 * y = 1080

x + y = 28 => <x = 28 - y

replacing:

10 * (28 - y) + 50 * y = 1080

280 - 10 * y + 50 * y = 1080

40 * y = 1080 - 280

y = 800/40

y = 20

now for x:

x = 28 - 20

x = 8

which means that in total there are 8 register of $ 10 and 20 register of $ 50

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

a) Let l represent the length of the guy wire.

sin(30) = (170 - 15) / l

l = 310 feet

b) Let Ф represent the angle, hence:

tanФ = 100/230

Ф = 23°

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

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The calculated volume of the solid figure is 421.08 cubic feet

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

Base area = 38.28 square feet

Height = 11 feet

Using the above as a guide, we have the following:

Volume = Base area * Height

substitute the known values in the above equation, so, we have the following representation

Volume = 38.28  * 11

Evaluate

Volume = 421.08

Hence, the volume of the solid figure is 421.08 cubic feet

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Answer:

2%

Step-by-step explanation:

Answer: 2%

Step-by-step explanation: Method 1

Express the ending population as a percentage of the starting population:  

127000 /129540= 1.02

1.02×100=  102%

Subtract the starting 100% to get the percent increase:

102%−100%= 2%  

​

The given series is convergent and the sum of the series is 5/8.

A series is said to be convergent if the limit of that series exists and the partial sum of this series or the individual sum approaches zero. A series is said to be divergent if this is not the case. In the given question, the given series is convergent.

In order to find the sum of the series, we need to add the -

= (1/3 + 1/27 + 1/243 +......) + 2(1/9 + 1/81 + 1/729 +......)

= (1/3 + 1/3³ + 1/3⁵ +.....) + 2(1/3² + 1/3⁴ + 1/3⁶ +.......)

= \(\frac{\frac{1}{3}}{1 - \frac{1}{3^{2} } }\) + 2\(\frac{\frac{1}{3^{2}} }{1 - \frac{1}{3^{2} } }\)

= 3/8 + 2/8

= 5/8

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Answer:

0.007

Step-by-step explanation:

We were told in the above question that a random sample of 51 households is monitored for one year to determine aluminum usage

Step 1

We would have to find the sample standard deviation.

We use the formula = σ/√n

σ = 12.2 pounds

n = number of house holds = 51

= 12.2/√51

Sample Standard deviation = 1.7083417025.

Step 2

We find the z score for when the sample mean is more than 61

z-score formula is z = (x-μ)/σ

where:

x = raw score = 61 pounds

μ = the population mean = 56.8 pounds

σ = the sample standard deviation = 1.7083417025

z = (x-μ)/σ

z = (61 - 56.8)/ 1.7083417025

z = 2.45852

Finding the Probability using the z score table

P(z = 2.45852) = 0.99302

P(x>61) = 1 - P(z = 2.45852) = 0.0069755

≈ 0.007

Therefore,the probability that the sample mean will be more than 61 pounds is 0.007

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

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Answer:

1) x=1/4Y-1/2   2) x=1/4Y-1/2

Step-by-step explanation:

x=1/4Y-1/2       x=1/4Y-1/2

-4x=2-Y           2x=-4-Y

x=-1/2+1/4Y     x=-2-1/2Y

x=1/4Y-1/2        x=1/4Y-1/2

Answer:

The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) =  \frac{2}{10}\)

Step-by-step explanation:

From the question we are told that

  The total number of colored balls  is  n  =  10

   The number of red balls is r =  2 red

    The number of white ball is  w =  4

    The number of blue balls is  b  =  4

   The number of balls to be selected is  N  =  2 balls

    The cost of playing picking a ball is  c  =  $10

    The winnings is \(k =  \$ P(A)\)

Here P(A) is the probability of obtaining the exact sequence of result  and from the question it  is  P(A) =  0.10

Generally my price according to the question is  

     \(k =  \frac{0.10 }{10}\)

=>   \(k =  0.01 \)

Let assume we selected a red ball

 Generally the probability of selecting a red ball is  mathematically represented as

       \(P(r) =  \frac{2}{10}\)

Answer:

We can start by finding the length of each side of the triangle in the scale drawing, and then use the scale ratio to convert those lengths to actual feet.

From the scale drawing, we see that the length of the base of the triangle is 5 inches, and the length of one of the legs (the one with the angle marked as "yº") is also 5 inches. The length of the other leg is not given, but we can use the fact that the angles in a triangle add up to 180º to find it. The angle opposite the base of the triangle is 90º (since it is a right triangle), and the angle marked as "yº" is also given. So the third angle must be:

180º - 90º - yº = 90º - yº

Now we can use the fact that the angles of a triangle add up to 180º to write an equation involving the third angle and the angle opposite the other leg:

90º - yº + angle opposite other leg = 180º

Solving for the angle opposite the other leg, we get:

angle opposite other leg = yº

So the triangle is an isosceles right triangle, with legs of length 5 inches.

To find the actual length of each leg, we use the scale ratio of 1 in.: 1/1/2 ft 6 in. This means that every 1 inch in the scale drawing represents 1.5 feet in actual size. Therefore, each leg of the triangle is:

5 inches x 1.5 feet/1 inch = 7.5 feet

The base of the triangle is still 5 inches long, so it remains 5 inches long in actual size (since we have only multiplied by a factor of 1.5 in the conversion).

Finally, we can find the perimeter of the actual triangle by adding up the lengths of all three sides:

Perimeter = 7.5 feet + 7.5 feet + 5 inches x 1.5 feet/1 inch = 22.5 feet + 6.25 feet = 28.75 feet

Therefore, the perimeter of the actual triangle used on the banner is 28.75 feet.