this and the notation , help!:__)

This And The Notation , Help!:__)

Answers

Answer 1

After comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

A transformation known as a rotation involves turning the figure either clockwise or counterclockwise. The centre of rotation is the fixed location where the rotation occurs. The term "angle of rotation" refers to the amount of rotation. A figure can be rotated 90 degrees, or a quarter turn, in either a clockwise or counterclockwise direction.

You have rotated the figure 180 degrees when you have spun it exactly halfway. The figurine may be rotated 360° by turning it all the way around. A counterclockwise turn has a positive magnitude because a clockwise rotation indicates a negative magnitude. Rotational symmetry exists in every regular polygon. When an object is rotated around its centre, it retains its original appearance. The object is then referred regarded as having rotational symmetry.

Let's write the coordinates of the original figure,

A = (1, -5)

B = (6, -2)

C = (6, -5)

D = (1, -8)

Now, if we rotate it 90 degrees counterclockwise, the coordinates are:

A' = ( 5, 1)

B' = (2, 6)

C' = (5, 6)

D' = (8, 1)

Now if we rotate it again 90 degrees counterclockwise, the coordinates are:

A'' = ( -1, 5)

B'' = (-6, 2)

C'' = (-6, 5)

D'' = (-1, 8)

Now from the figure, let's write the coordinates.

A' = ( -1, 5)

B' =  (-6, 2)

C' = (-6, 5)

D' =  (-1, 8)

This is the same as the coordinates of the second 90 degrees counterclockwise rotation.

Since we did two 90 degrees rotations, we can say we did a total of 180° counterclockwise rotation.

Therefore after comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

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This And The Notation , Help!:__)

Related Questions

What is the volume of the figure shown below?
12 in.
8 in.
3 in.
5 in.
3 in.
5 in.
A
36 in 3
B
75 in 3
с
288 in
D
363 in 3
PLSSS HELP

What is the volume of the figure shown below?12 in.8 in.3 in.5 in.3 in.5 in.A36 in 3B75 in 3288 inD363

Answers

Divide the compound object.

We have minor object and major object

Volume of object 1 = LWH
= 5 x 5 x 3
= 75 in ^3

Volume of object 2 = LWH
= 12 x 8 x 3
= 288 in^3

Add the volumes of both object

288 + 75 = 363 in^3

Therefore the answer is option D

I can’t figure this out. Help!

I cant figure this out. Help!

Answers

Answer:

Your answer should be x = \(\frac{48}{7}\).

Hope this helps.

Answer:

x is about 6.857 or 48/7

Step-by-step explanation:

to do this we cross multiply

42/18=16/x

42x=18(16)

42x=288

x=6.857

Hopes this helps please mark brainliest

ah hurry!

In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick the number 3 and then picking the number 6.

A: 1/100
B: 1/10
C: 3/10
D: 6/10

Answers

Answer: A

Step-by-step explanation: 10x10=100

Nina is an artist who sells paintings online. She charges the same amount to ship each painting. When she sells 4 paintings, she charges a total of $9.96 for shipping. When she sells 8 paintings, she charges a total of $19.92 for shipping. How much more does Nina charge for shipping 20 paintings than for shipping 16 paintings?
a$2.49
b$9.96
c$19.92
d$29.96​

Answers

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

i need helpppppppppp

i need helpppppppppp

Answers

Answer: XYW = 32, WYZ = 85

Step-by-step explanation:

We are looking for what x is, which we can find with the formula:

117 = (6x+44) + (-10x+65)

117 = -4x + 109

8 = -4x

x = -2

We can verify this is correct by plugging it in and seeing if they add up to 117.

6x + 44 (XYW)

= 6(-2) + 44

= -12 + 44

= 32

-10x + 65 (WYZ)

= -10(-2) + 65

= 20 + 65

= 85

32 + 85 = 117

How do you determine if a matrix is a linear combination of other matrices?

Answers

To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).

If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.

For example if we have matrices: A, B & C and we can write matrix D as follows:

D = 2A + 3B + C

Then D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.

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A bag contains 10 pieces of paper, numbered 1 through 10with a different number on each piece of paper. A second bag contains 8 pieces of paper, numbered 20 through 27with different number on each piece of paper. One piece of paper is drawn random from each bag. What is the expected value of the sum of the numbers on the two selected pieces of paper

Answers

To find the expected value of the sum of the numbers on the two selected pieces of paper, we need to calculate the probability of each possible outcome and then multiply that probability by the value of the outcome. The expected  value of the sum of the numbers on the two selected pieces of paper is 6.1625.

Therefore the answer is 6.1625.

The possible outcomes for the first bag are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, each with a probability of 1/10.

The possible outcomes for the second bag are 20, 21, 22, 23, 24, 25, 26, 27, each with a probability of 1/8.

The possible outcomes for the sum of the numbers on the two selected pieces of paper are:

(1,20) ,(1,21) ,(1,22) ,(1,23) ,(1,24) ,(1,25) ,(1,26) ,(1,27)

(2,20) ,(2,21) ,(2,22) ,(2,23) ,(2,24) ,(2,25) ,(2,26) ,(2,27)

(3,20) ,(3,21) ,(3,22) ,(3,23) ,(3,24) ,(3,25) ,(3,26) ,(3,27)

...

(10,20) ,(10,21) ,(10,22) ,(10,23) ,(10,24) ,(10,25) ,(10,26) ,(10,27)

The expected value of the sum of the numbers on the two selected pieces of paper is the sum of the products of each possible outcome and its corresponding probability.

The probability of each outcome is (1/10) * (1/8) = 1/80

So the expected value of the sum of the numbers on the two selected pieces of paper is

(1 + 21)×(1/80) + (1 + 22)×(1/80) + (1 + 23)×(1/80) + (1 + 24)×(1/80) + .... + (10 + 27)×(1/80) = (21 + 22 + 23 + 24 + ... + 37)/80

= (20×17 + 1 + 2 + ... + 17)/80

= (340 + 17×(17 + 1)/ 2)/ 80

= (340 + 17×9)/ 80

= 6.1625

So the expected value of the sum of the numbers on the two selected pieces of paper is 6.1625

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Deb has 3/4 of a brownie. She wants to divide it up into 1/4's of a brownie so she can have it throughout the day. How many 1/4's will she have?

Answers

Answer:

3

Step-by-step explanation:

3/4 ÷ 1/4 = ?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

3/4 × 4/1

For fraction multiplication, multiply the numerators and then multiply the denominators to get

3 × 4 / 4 × 1 = 12/4

Since 12 divided by 4 equals 3 then,

12/4 = 3

Therefore 3/4 ÷ 1/4 = 3

a constant slope on a distance-time graph indicates

Answers

On a distance-time graph, a constant slope indicates a constant speed or velocity. The slope of a line on a distance-time graph represents the rate of change of distance with respect to time.

If the slope remains constant, it means that the distance covered per unit of time is consistent throughout the entire duration represented by the graph.

When the slope is constant, it implies that the object or subject being represented is moving at a steady pace. This means that for each unit of time, an equal amount of distance is covered. For example, if the slope of the graph is 2, it indicates that for every unit of time (e.g., 1 second), the object or subject is covering 2 units of distance (e.g., 2 meters).

A constant slope can also suggest uniform motion, where the speed remains constant without any acceleration or deceleration. In this case, the object is moving at a steady rate, maintaining the same speed throughout the given time interval.

It's important to note that the slope's magnitude doesn't provide information about the actual speed; it only indicates that the speed remains constant. The actual speed can be determined by examining the scale and units on the graph.

In summary, a constant slope on a distance-time graph indicates that the object or subject is moving at a constant speed or velocity, covering the same amount of distance per unit of time, suggesting either uniform motion or a steady pace.

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The ratio of boy to girl who play kickball at rece i 6 to 2. There are 18 girl on the team. What i the nu
mber of boy who play kickball at rece?

Answers

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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b - 8 = -5
Need the answer

Answers

Answer:

three

Step-by-step explanation:

Answer:

B = 3

Hope this helps :)

The diameter of a circular cookie cake is 16 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.

100.48 square inches
200.96 square inches
401.92 square inches
803.84 square inches

Answers

The number of square inches which make up half of the cookie cake is approximately 100.48 inches².

Given that,

The diameter of a circular cookie cake is 16 inches.

Cookie cake is circular.

We have to find the area of the half of the cookie cake.

Diameter = 16 inches

Radius = 16/2 = 8 inches

Area of a circular figure = πr²

Total area of the cookie cake = π(8)² = 64π

Area of half the cake = 64π /2 = 32π = 100.48 square inches

Hence the area of half of the cookie cake is 100.48 inches².

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Which statements below are true? Select all that apply.

A. The absolute value of a negative number is positive.

B. The absolute value of a positive number is negative.

C. The absolute value of a negative number is negative.

D. The absolute value of a positive number is positive.

E. Absolute value may be thought of as the distance from 0 on a number line.

Answers

Answer:

A, D, and E

Step-by-step explanation:

Answer:

A,D,E

Step-by-step explanation:

The absolute value is how far a number is from 0. For example, -3 is 3 places from zero so the absolute value would be 3. Another example would be the absolute value of 5 which would be 5 because it is 5 places from 0.

Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water.
How much grape juice does Sarah use for each cup of water?
O 1/6 cup
O 3/4 cup
O 3/8 cup
O 1 1/2 cup

Answers

We know that Sarah will use (C) 3/8 cups of grape juice in each cup of water using simple mathematical operations.

What are mathematical operations?

A mathematical action is called an operation.

Mathematical operations include addition, subtraction, multiplication, division, and finding the root.

Most people agree that addition, subtraction, multiplication, and division are the four fundamental mathematical operations.

So, we know that:

Sarah uses 1/4 cup of grape juice for every 2/3 cup of water.

Sarah uses a certain amount of grape juice for every cup of water:

1/4 ÷ 2/3

1/4 * 3/2

3/8

Therefore, we know that Sarah will use (C) 3/8 cups of grape juice in each cup of water using simple mathematical operations.

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Correct question:
Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water.

How much grape juice does Sarah use for each cup of water?

a. 1/6 cup

b. 3/4 cup

c. 3/8 cup

d. 1 1/2 cup

hallar las coordendas de los puntos que dividen al segmento AB en 6 partes iguales, segmento cuyo extremo son A( -5, -6) y B(48/2, 4)

Answers

This is the answer (-7,-6) y and x inseam
hallar las coordendas de los puntos que dividen al segmento AB en 6 partes iguales, segmento cuyo extremo

True or false b=11,28-b<34

Answers

Answer:

True

Step-by-step explanation:

28 - b < 34  Substitute in 11 for b

28 - 11 < 34

17 < 34  This is a true statement.

A measure of the dispersion of observations in a process distribution is called:_____.

Answers

A measure of the dispersion of observations in a process distribution is called: range.

This is further explained below.

What is the range?

Generally, The range of a collection of data is the difference between the highest and smallest values in the set. This difference is calculated by subtracting the sample maximum and minimum from the sample size. It is written out using the same units that were used for the data.

In conclusion, The term "range" refers to a measure of the dispersion of observations included within a process distribution.

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Seth is saving his money. He started with $75.00. If he adds
$25.00 to his savings each month, how much will he have
saved after 4 months?
You can earn S coins
Type here to search
*****
Hide Keyboard
O
2
3
4
5
6
7
8
9

Answers

Answer:

$175

Step-by-step explanation:

\(75 + 25(4) = 75 + 100 = 175\)

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?

Answers

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Identify the linear equation?

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Which shows the expressions in the order they would appear on a number line from least to greatest? (5 points) a 17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3 b 3 to the power of 3, square root of 30, square root of 15, square root of 6, 17 over 9 c 3 to the power of 3, square root of 6, square root of 15, 17 over 9, square root of 30 d 17 over 9, square root of 30, square root of 15, 3 to the power of 3, square root of 6

Answers

An expression which shows the order the numbers would appear on a number line from least to greatest is: A. 17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.

In Mathematics, a number line typically increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In order to arrange the given numbers in order from least to greatest, we would convert them into a decimal number as follows:

17/9 = 1.8889√6 = 2.4495√15 = 3.8730√30 = 5.47723³ = 9

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A device has two electronic components. Let T1T1 be the lifetime of Component 1, and suppose T1T1 has the exponential distribution with mean 5 years. Let T2T2 be the lifetime of Component 2, and suppose T2T2 has the exponential distribution with mean 4 years.

Suppose T1T1 and T2T2 are independent of each other, and let ð=min(T1,T2)M=min(T1,T2) be the minimum of the two lifetimes. In other words, ðM is the first time one of the two components dies.

a) For each ð¡>0t>0, find P(ð>ð¡).

[Hint: If the minimum has to be bigger than ð¡t, what does that tell you about each of the lifetimes?]

b) Use Part a to identify the distribution of ð. Provide its name and parameter (or parameters, if there are more than one).

c) Find the numerical value of ð¸(ð)

Answers

For the two electronic components with exponential distribution ,

P(ð > ð¡) = \(e^{(-\delta_{i} /5)- (-\delta_{i} /4) }\).

Name of  ð is exponential distribution and its parameters is ð ~ Exp(1/5 + 1/4).

Its numerical value of ð¸(ð) is 2.22 years

For a device with two electronic components T1 and T2.

T1 and T2 are independent of each other.

To find P(ð > ð¡),

Consider that ð (the minimum of the two lifetimes) is greater than ð¡.

This implies that both T1 and T2 must be greater than ð¡.

Since T1 and T2 are independent exponential distributions with means 5 years and 4 years respectively,

The probability of each of them being greater than ð¡ is given by the exponential survival function,

P(T1 > ð¡) = \(e^{(-\delta_{i} /5)}\)

P(T2 > ð¡) = \(e^{(-\delta_{i} /4)}\)

Since T1 and T2 are independent, the probability that both T1 and T2 are greater than ð¡ is the product of their individual probabilities:

P(ð > ð¡)

= P(T1 > ð¡) × P(T2 > ð¡)

= \(e^{(-\delta_{i} /5)}\) × \(e^{(-\delta_{i} /4)}\)= \(e^{(-\delta_{i} /5)- (-\delta_{i} /4) }\)

From the above result,

we can see that the distribution of ð the minimum of the two lifetimes follows the exponential distribution.

The parameter of the exponential distribution is the sum of the individual mean parameters,

ð ~ Exp(1/5 + 1/4)

To find the numerical value of ð¸(ð), we need to calculate the expected value of ð.

For the exponential distribution,

The expected value (mean) is given by the reciprocal of the rate parameter.

Here, the rate parameter is the sum of the individual mean parameters,

ð¸(ð) = 1 / (1/5 + 1/4)

Calculating the value,

ð¸(ð)

= 1 / (0.2 + 0.25)

= 1 / 0.45

≈ 2.22 years

The numerical value of ð¸(ð) is approximately 2.22 years.

Therefore, for the exponential distribution ,

P(ð > ð¡) = \(e^{(-\delta_{i} /5)- (-\delta_{i} /4) }\).

Distribution name of  ð is exponential distribution and its parameters is the sum of the individual mean parameters ð ~ Exp(1/5 + 1/4).

Numerical value of ð¸(ð) is 2.22 years.

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PLEASE HELP THIS IS DUE TODAY
An object is thrown straight upward from ground level with an initial velocity of 80 feet per second. The formula h = -16t2 + 80t represents the object's height, h, in feet after t seconds. At what time does the object hit the ground?
A. t=1
B. t=5
C. t=2
D. t=16

Answers

The time that the object hits the ground is given as follows:

B. t=5.

How to obtain the time in which the object hits the ground?

The equation giving the height of the object after t seconds is given as follows:

h(t) = -16t² + 80t.

The object hits the ground when:

h(t) = 0.

Hence the time is obtained as follows:

-16t² + 80t = 0

16t² - 80t = 0

16t(t - 5) = 0.

Hence the non-zero time is given as follows:

t - 5 = 0

t = 5 seconds.

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What type of number is
-15/3

What type of number is-15/3

Answers

Answer:

Rational

Step-by-step explanation:

Rational numbers can be reduced to a fraction

Irrational numbers cannot be reduced to a fraction

Whole numbers are positive numbers that are not decimal or fraction

Integers are all numbers that are not decimal or fraction

3. Find the area of the shape below. Break
the larger shape into smaller pieces if needed.
8.4m
4m
11.4m
8m
ak direst
boyut ved FI

3. Find the area of the shape below. Breakthe larger shape into smaller pieces if needed.8.4m4m11.4m8mak

Answers

So, the area of the shape is 164.4 square meters.

What is area?

In geometry, area is the measure of the size of a two-dimensional surface or region. It is the amount of space inside the boundaries of a flat object such as a polygon, circle, or rectangle. Area is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on. To calculate the area of a shape, you typically need to use a specific formula depending on the type of shape, such as base times height for a triangle, or length times width for a rectangle.

Here,

The area of the shape is equal to the sum of the areas of these smaller pieces. We can calculate each area as follows:

The area of the rectangle on the left is 4m x 8.4m = 33.6 square meters.

The area of the rectangle on the right is 8m x 11.4m = 91.2 square meters.

The area of the triangle on the top is (8.4m x 4m) / 2 = 16.8 square meters.

The area of the triangle on the bottom is (11.4m x 4m) / 2 = 22.8 square meters.

Therefore, the total area of the shape is:

33.6 + 91.2 + 16.8 + 22.8 = 164.4 square meters

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Answer Choices:
1/4
1/2
1/12
1/6

Answer Choices:1/41/21/121/6

Answers

Answer:

1/12

Step-by-step explanation:

1/2 × 1/3 × 1/2

= 1/12

I need help on this quesion. (Easy)

I need help on this quesion. (Easy)

Answers

Answer:

the answer is C

Step-by-step explanation:

just divide 42.75 by 9

Joey is considering two bowling membership plans. The plans are detailed here. Plan 1: $30 for a monthly pass and a $3 fee for each bowling visit Plan 2: $10 for each bowling visit Select the equation for Plan 1.

y = -10

y = 10x

y = 30x +3

3x+30​

Answers

Answer:

This equation represents Plan 1, since it shows that the cost to join the plan is $30 and the cost for each bowling visit is $3.

Step-by-step explanation:

Answer: 3x + 30

Step-by-step explanation: the $3 fee depends on how many times joey goes bowling so it will be 3x + the flat $30 per month

Which set of coordinate pairs do NOT represent a linear function?
(−4, −12), (−3, −10), (−2, −8), (−1, −6)

(−4, −17), (−3, −10), (−2, 5), (−1, 2)

(1, −7), (2, −10), (3, −13), (4, −16)

(1, 1), (2, 4), (3, 7), (4, 10)

Answers

Answer:

(-4, -17), (-3, -10), (-2,5), (-1,2)

All the coordinates are represent linear function.

What is an expression?

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

Given that;

The coordinates are,

⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)

⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)

⇒ (1, -7), (2, -10), (3, -13), (4, -16)

⇒ (1, 1), (2, 4), (3, 7), (4, 10)

Now,

We know that;

A relation between a set of inputs having exactly one output each is called a linear function.

Clearly, All the coordinate have exactly one output for every input.

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1/2(x+10)-2(2 1/2 +3x)

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

1/2(x+10)-2(2 1/2 +3x)
1/2(x+10) - 2(2 1/2+3x)

= 1/2x + 5 - 5 - 6x

= 1/2x - 6x

= 1/2x - 12/2

= 1-12/2x

= -11/2x

Hope it helps :)

PLEASEEEEEEEE HELPPPP MEEEEE

PLEASEEEEEEEE HELPPPP MEEEEE

Answers

I pretty sure it’s 350 profit but I’m not 100
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I really need help im bad at Algebra According to institutional anomie theory, why is there a need to maintain cooperation between economic and non-economic institutions?A. to support and balance the interdependency of social institutionsB. to maintain harmonyC. to educate peopleD. to raise the standard of living How long does it take an object to travel 50m at a rate of 8 m/s? Some ideas of Ukrainian war and it's political situation this time What are the codes for a, e, i, k, o, p, and u if the coding scheme is represented by this tree? A solar cell generates a potential difference of 0.064 V when a 5100 resistor is connected across it, and a potential difference of 0.090 V when a 9400 resistor is substituted. What are the (a) internal resistance and (b) emf of the solar cell? (c) The area of the cell is 2.2 cm and the rate per unit area at which it receives energy from light is 5.0 mW/cm2. What is the efficiency of the cell for converting light energy to thermal energy in the 940 02 external resistor? What does ''X'' mean Robert Gillman, an equity research analyst at Gillman Advisors, believes in efficient markets. He has been following the mining industry for the past 10 years and needs to determine the constant growth rate that he should use while valuing Pan Asia Mining Company. Robert has the following information available: Pan Asia Mining Companys stock (Ticker: PAMC) is trading at $22. 50. The companys stock is expected to pay a year-end dividend of $1. 08 that is expected to grow at a certain rate. The stocks expected rate of return is 10. 80%. Based on the information just given, what will be Roberts forecast of PAMCs growth rate? 0. 05% 6. 00% 9. 00% 10. 75% On October 30, 1929, many of the remaining investors in the US stock markettried to create a rally.pulled out of the market.closed the stock market.bought falling stocks. Why were southerners outraged about the outcome of the election of 1860?Lincoln had won without getting a single vote from southern states.The election was so close, southerners demanded a runoff vote.Southerners believed they should have a voice in national politics.Southern states had opposed slavery in the new territories. gequal masses of water of 20 degrees c and 80 degrees c are mixed. what is the final temperature of the mixture (assuming no loss of energy from the system)? question 6 options: 40 degrees c 50 degrees c 60 degrees c 70 degrees c Why is it important to keep your own financial records? which of the following correctly lists the usual hierarchy of political-administrative units in order from the largest to the smallest? Describe the relationship between the body mass and total surface area of air sacs? Hannah makes $8.75 per hour. She works 30 hours per week. Find: a. Her weekly payb. Her monthly payc. Her yearly paycan someone explain this? Use the Binomial Theorem to expand each binomial.(3 a+4 b) A spark ignition engine operating on the ideal Otto cycle takes in air at 15psia and 68F at the beginning of the compression stroke. The compression ratio is 9.5 and displacement volume is 96.5 in^3. Operating conditions dictate that the maximum temperature during the cycle not exceed 2100F. Using cold air standard assumptions, calculate the a) Pressure, temperature and specific volume at the end of each process b) Net work output for each cycle (Btu) c) Thermal efficiency of the cycle d) Mean effective pressure (psia) Note: Provide a schematic diagram (sketch) of the problem configuration (if applicable). Include a cycle diagram (P-v or Ts) for each problem. Every numerical calculation must be preceded by the appropriate equation. Do not forget units \& dimensions during your calculations. What is the belief of social Darwinism?A. People become powerful in society because they are naturally better.B. Achieving social order is impossible without shared moral values.. Human functioning is the result of multiple environmental events.D. The political power of society is controlled by the social class that owns production. 3. pleasseeeeeeeeeeee Monochromatic light with a wavelength of 177.5 nm, shines on ametal plate and ejects electrons. The electrons are observed toleave the metal with a kinetic energy of 3 eV.(a) Calculate the energy o