2.963 × 10 powerd to the 6
written in standard form?

Answers

Answer 1

Answer:

2963*100,000 that's the answer for that question


Related Questions

Order the sides from least to greatest

Sides: BC, AB, AC

Answers

Answer: BC, AC, AB

Step-by-step explanation: I think I'm wrong but tell me if I'm right.

this one, i suck at the hypotenuse and i learned it yesterday and this is due today please help break it down for me

Answers

The right triangle has a 90-inch perimeter.

Which triangle is on the right?

A right triangle is one with a 90 degree inner angle. Its longest side is the hypotenuse, which is also the side of the right triangle that faces the right angle. The two arms of a right angle are made up of height and base.

To get the length of the other right triangle leg, let's apply the Pythagorean theorem: a2 + b2 = c2, where c is the hypotenuse and a and b are the triangle's legs.

We are aware that c = 41 inches and, let's say, a = 40 inches for one of the legs. Hence, we may find b:

40² + b² = 41²

1600 + b² = 1681

b² = 1681 - 1600

b² = 81

b = √81

b = 9

Hence, the other leg is 9 inches long.

We can now determine the triangle's perimeter:

Perimeter = a + b + c

Perimeter = 40 + 9 + 41

Perimeter = 90 inches

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HELP PLEASE NO ONE IS ANSWEING IT
What is the mean of this data set?

A table titled Length of Roses. The first column is labeled length in centimeters. The second column is labeled number of roses. The first row shows 2 roses measuring 22 centimeters in length. The second row shows 4 roses measuring 23 centimeters in length. The third row shows 5 roses measuring 24 centimeters in length. The fourth row shows 3 roses measuring 25 centimeters in length. The fifth row shows 1 rose measuring 26 centimeters in length.

24 cm
twenty-three and twelve-fifteenths
twenty-three and one-half
22 cm

Answers

Answer: To find the mean of the data set, you need to calculate the sum of the products of each length and its corresponding frequency, and then divide that sum by the total number of roses.

Using the data set given, the sum of the products is:

(2 * 22) + (4 * 23) + (5 * 24) + (3 * 25) + (1 * 26) = 221

The total number of roses is:

2 + 4 + 5 + 3 + 1 = 15

Therefore, the mean length of the roses is:

221 / 15 = 14.73 ≈ 24 cm

So, the answer is 24 cm.

Step-by-step explanation:

Answer:

24 but the test is wrong

Step-by-step explanation:

Soooo i dont know what the answer in the test is but the answer is 24. If you add them all up, 22 23 24 25 26, you get 120 which you then divide by  5. I dont know what the test wants u to answer tho.

2. Kathy can run 2 miles to the beach in the same amount of time Dennis can ride his bike 10 miles to work. Kathy runs 8 mph slower than Dennis rides his bike. Find their speeds

Answers

Kathy's speed is 2 mph and Dennis's speed is 2+8 = 10 mph.

Let's assume that Kathy's speed is "x" mph. Since Dennis rides 8 mph faster than Kathy, his speed is "x+8" mph.

We know that Kathy can run 2 miles to the beach in the same amount of time Dennis can ride his bike 10 miles to work. Therefore, we can use the formula:

time = distance/speed

For Kathy: time = 2 miles / x mph

For Dennis: time = 10 miles / (x+8) mph

Since they both take the same amount of time, we can set these two equations equal to each other:

2 / x = 10 / (x+8)

We can then solve for "x" as follows:

2(x+8) = 10x

2x + 16 = 10x

16 = 8x

x = 2 mph

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Which three side length best describes the triangle in the diagram

Answers

Answer:

i think that it is d or c just guessing

PLX SIMPLIFY -2.6+3.9b

Answers

Answer: 3.9b−2.6

Step-by-step explanation: Hope this helps

Answer:

1.3b

Step-by-step explanation:

The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.

Sorry, this explanation isn't the best. Hope it helped! :)

Given the right triangle in the diagram below, what is the value of x, to the nearest foot

Answers

Therefore, the value of x, to the nearest foot, is A. 11 in the right triangle in the diagram below.

What is triangle?

A triangle is a two-dimensional geometrical shape with three sides and three angles. It is a polygon with the least number of sides. Triangles are classified based on the length of their sides and the measure of their angles. The three sides of a triangle can be classified as equal, two equal sides, or three unequal sides. Triangles can also be classified based on their angles as acute (all angles less than 90 degrees), right (one angle is equal to 90 degrees), obtuse (one angle greater than 90 degrees), or equiangular (all angles are equal). The interior angles of a triangle always add up to 180 degrees. The longest side of a right triangle is called the hypotenuse, and it is opposite to the right angle. The Pythagorean theorem is used to find the missing side of a right triangle. Triangles are widely used in mathematics, physics, engineering, and other fields. They form the basic building block of more complex geometrical shapes and structures.

Here,

Using trigonometry, we can find that:

tan(40°) = x/14

Multiplying both sides by 14, we get:

x = 14 * tan(40°)

Using a calculator, we get:

x ≈ 11.0

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Complete question:

Given the right triangle in the diagram below. what is the value of x, to the nearest foot?

A. 11

B. 17

c. 18

D. 22

A refrigerator magnet uses 5/8 inch of magnetic tape. How many refrigerator magnets can you make with 9 3/8 inches of magnetic tape? Explain.

Answers

Answer:

To find how many refrigerator magnets can be made with 9 3/8 inches of magnetic tape, we need to divide the total length of magnetic tape by the length of magnetic tape used for each magnet.

First, we need to convert the mixed number 9 3/8 to an improper fraction:

9 3/8 = (9 x 8 + 3)/8 = 75/8

Next, we divide 75/8 by 5/8 to find how many magnets can be made:

(75/8) ÷ (5/8) = (75/8) x (8/5) = 15

Therefore, 15 refrigerator magnets can be made with 9 3/8 inches of magnetic tape.

a 13 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 1.25 ft/s, how fast will the bottom of the ladder be moving away from the wall when the top is 12 feet above the ground?

Answers

The top of the ladder is 12 feet above the ground, the bottom of the ladder will be moving away from the wall at a rate of 0.096 ft/s.

The question is: a 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 1.25 ft/s, how fast will the bottom of the ladder be moving away from the wall when the top is 12 feet above the ground?

To answer this question, we can use the concept of right triangle geometry. We know that when the top of the ladder is 12 feet above the ground, the bottom of the ladder is 13 feet away from the wall.

We can use the Pythagorean Theorem to calculate the hypotenuse of this right triangle, which is the total length of the ladder. This will allow us to calculate the rate at which the bottom of the ladder is moving away from the wall.

The Pythagorean Theorem states that

a^2 + b^2 = c^2,

where a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse.

In this case, a is 12 and b is 13.

Therefore,

122 + 132 = c^2, or c^2 = 169.

Therefore, c = 13.04 feet.

This is the total length of the ladder.

We now have the total length of the ladder, so we can calculate the rate at which the bottom is moving away from the wall.

Since we know the top is moving at a rate of 1.25 ft/s, and the total length of the ladder is 13.04 feet, the bottom must be moving at a rate of (1.25/13.04) = 0.096 ft/s.

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In circle P with the measure of arc NQ= 82°, find m/NPQ.

Answers

Answer:

m<NPQ= 82°

Step-by-step explanation:

Below is the explanation for the answer to the assignment.

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. Group of answer choices
A 50 x minus 25 = 72
B 18 x minus 9 = 72
C 18 x minus 15 = 72
D 3 (6 x minus 3) = 72
E x = 4.5

Answers

The following equations will have the same value of x as the one provided:

(B) 18x - 9 = 72; (D) 3(6x - 3) = 72; (E) x = 4.5

What are equations?

A mathematical statement that uses the word "equal to" between two expressions with the same value is called an equation.

Like 3x + 5 = 15, for instance.

Equations come in a wide variety of forms, including linear, quadratic, cubic, and others.

So, the given equation is:

3/5(30x-15)=72

Now, we have:
3/5 * 30x - 3/5 * 15 = 72

18x - 9 = 72

Using common 3 as an example, we have the following on the left side of the equation:

3(6x-3) = 72

6x-3 = 72/3

6x-3 = 24

6x = 24+3

6x = 27

x = 27/6

x = 9/2

x = 4.5

Therefore, the following equations will have the same value of x as the one provided:

(B) 18x - 9 = 72; (D) 3(6x - 3) = 72; (E) x = 4.5

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carpet at a british home supply store sells for 16 pounds (currency) per square meter. what is the price in dollars per square yard>

Answers

The price in dollars per square yard is approximately $23.04.

To convert from pounds per square meter to dollars per square yard, we need to use the conversion rates between currencies and units of area.

First, we convert pounds to dollars using the current exchange rate. The exchange rate is approximately 1.38 dollars per pound, so 16 pounds per square meter is equivalent to approximately 22.08 dollars per square meter.

Next, we convert square meters to square yards. There are 1.196 square yards in a square meter, so the price in dollars per square yard is approximately:

22.08 dollars per square meter ÷ 1.196 square yards per square meter ≈ 18.43 dollars per square yard.

Therefore, the price in dollars per square yard is approximately $23.04, rounded to two decimal places.


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A local store charges $1.97 per pound for bananas and $4.49 for a gallon of apple juice what is the cost of 1.5 lb of bananas and 1 gallon of apple juice

Answers

The expense of 1.5 lbs of bananas and 1 gallon of apple juice, according to the provided statement, is $7.45.

What does arithmetic multiple mean?

Multiplication is one of the four basic operations in mathematics, along with adding, subtracting, and division. Multiply in mathematics refers to the continual adding of sets of identical size.

The cost of 1.5 lb of bananas can be found by multiplying the price per pound by the number of pounds:

Cost of 1.5 lb of bananas = 1.5 x $1.97 = $2.96 (rounded to the nearest cent)

The cost of 1 gallon of apple juice is $4.49.

So, the total cost of 1.5 lb of bananas and 1 gallon of apple juice is:

Total cost = Cost of bananas + Cost of apple juice

Total cost = $2.96 + $4.49

Total cost = $7.45

Therefore, the cost of 1.5 lb of bananas and 1 gallon of apple juice is $7.45.

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you believe that most american men under the age of 25 prefer pizza over tacos. you design an experiment with 50 men to test this hypothesis. what is the sample in your experiment?

Answers

They represent a more focused sample of people the researcher is interested in examining in order to draw conclusions about the larger community of American men under 25.

what is null hypothesis ?

The null hypothesis is a claim made in statistical hypothesis testing that presupposes there is no correlation between groups or any meaningful difference between a set of variables. It is commonly denoted by "H0," and the alternative hypothesis is compared with it ("H1"). The null hypothesis is typically assumed to be true, and in order to determine whether it can be rejected or not, it must be statistically tested. The alternative hypothesis is accepted if there is enough data to refute the null hypothesis. In contrast, the null hypothesis is maintained if there is not sufficient evidence to support it.

given

The group of 50 males who are chosen to take part in the study serves as the sample for the experiment.

They represent a more focused sample of people the researcher is interested in examining in order to draw conclusions about the larger community of American men under 25.

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Need help it’s due tomorrow for test corrections!!

Answers

We know that the temperature was 56°F at midnight, so we can plot the point (24, 56)

What is graph ?

Graph can be defined as visual representation of given data using the ordered pairs.

To graph Elroy's data, we can use the x-axis to represent the time of day in hours and the y-axis to represent the temperature in degrees Fahrenheit.

First, we can plot the point (6, 50) to represent the temperature at 6am.

Next, we can use the information that the temperature rose 3° per hour for the next 4 hours. This means that at 10am, the temperature would be 50 + 3(4) = 62°F. We can plot this point at (10, 62). Similarly, we can find the temperature at 7am, 8am, and 9am using the same formula and plot those points as well.

Then, we can use the information that the temperature rose 2° per hour for the next 6 hours. This means that at 4pm, the temperature would be 62 + 2(6) = 74°F. We can plot this point at (16, 74). Similarly, we can find the temperature at 11am, 12pm, 1pm, 2pm, and 3pm using the same formula and plot those points as well.

The temperature then stayed steady until 6pm, so we can draw a horizontal line at y = 74 from 4pm to 6pm.

For the next 2 hours, the temperature dropped 1° per hour. This means that at 8pm, the temperature would be 74 - 2 = 72°F. We can plot this point at (20, 72). Similarly, we can find the temperature at 7pm using the same formula and plot that point as well.

Therefore,  we know that the temperature was 56°F at midnight, so we can plot the point (24, 56).

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a group of observations measured at successive time intervals is known as a(n) . a. additive time series model b. forecast c. time series

Answers

A group of observations measured at successive time intervals is known as a(n) time series. So, correct option is C.

A time series is a collection of observations or measurements that are taken at regular intervals over time. These observations can be of any variable that changes over time, such as stock prices, weather patterns, or population growth. Time series analysis is a statistical technique used to understand and interpret the patterns and trends in such data.

The data in a time series can be analyzed to identify trends, seasonal variations, and other patterns that may exist over time. These patterns can be used to develop forecasts and make predictions about future values of the variable being measured.

On the other hand, an additive time series model is a specific type of model used to analyze time series data. It involves decomposing a time series into its underlying components, such as trend, seasonality, and random fluctuations, and modeling each component separately.

This approach can help to improve the accuracy of forecasts and predictions based on the time series data.

In summary, a time series is a collection of observations measured at successive time intervals, while an additive time series model is a specific type of statistical model used to analyze and forecast time series data.

Therefore, Option C is correct answer.

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Divide. Write the answer in simplest form.

6 and 3/5÷ 3/4

Answers

Answer:

44/5

Step-by-step explanation:

6 3/5 ÷ 3/4

6 3/5 = 33/5

33/5 ÷ 3/4 = 33/5 × 4/3 = 132/15 = 44/5

So, the answer is 44/5

Answer:

Step-by-step explanation:

1) Write the equation

[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex] = ?

2) Multiply by the reciprocal of [tex]\frac{3}{4}[/tex]

[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] =?

3) Cancel out the GCF 3

[tex]\frac{1}{5}[/tex] × 4 =?

4) Solve

[tex]\frac{4}{5}[/tex] or 0.8

Sally has a piece of cloth. She used 1/3 of a foot of the cloth to make a pillow cover and another

Answers

If Sally started with 2 feet of cloth, the cloth she has remaining is [tex]\frac{23}{21}[/tex] feet.

Describe Algebra?

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols to solve equations and study mathematical structures. It involves the use of letters and symbols to represent numbers and quantities in equations, and the manipulation of these equations to solve for unknown values or to simplify expressions.

Algebra includes topics such as arithmetic operations with real numbers, solving linear and quadratic equations, graphing lines and curves, working with functions, and manipulating algebraic expressions. It also involves the use of mathematical reasoning and problem-solving skills to solve complex problems and real-world applications.

Algebra plays an important role in many areas of mathematics, science, engineering, economics, and finance. It provides a powerful tool for modeling and analyzing real-world situations, as well as for understanding and predicting mathematical patterns and relationships.

[tex]2- \frac{1}{3}-\frac{4}{7} \\\frac{5}{3}- \frac{4}{7}\\\frac{35-12}{21} \\\frac{23}{21}[/tex]

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The complete question is:

Which formula would you use to calculate the total enclosed space of firm’s 3 structure?

Answers

To calculate the total enclosed space of a firm's 3 structures, you would need to measure the interior space of each structure and then add the three values together.

Why it is?

Assuming that each structure is a simple rectangular prism, the formula to calculate the volume (enclosed space) of a rectangular prism is:

Volume = Length x Width x Height

Therefore, to calculate the total enclosed space of the three structures, you would use the following formula:

Total Enclosed Space = Volume of Structure 1 + Volume of Structure 2 + Volume of Structure 3

where the volume of each structure would be calculated using the formula:

Volume of Structure = Length x Width x Height

Make sure to use the same unit of measurement for all three dimensions (length, width, and height) for each structure to ensure accurate calculations.

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Complete Question:

What formula would you use to calculate the total enclosed space of a firm's three structures? Please provide the necessary information such as the dimensions or measurements of each structure and the units used, if available, to accurately calculate the total enclosed space.

the physician orders lanoxin elixir 0.175 mg po q.am for the patient. the pharmacy sends a bottle labeled: lanoxin elixir 0.05 mg/ml. how many milliliters will the nurse administer to the patient? write your answer as a decimal number.

Answers

The nurse should administer 3.5 mL of Lanoxin elixir 0.05 mg/mL to the patient to achieve the desired dose of 0.175 mg.

First, we need to convert the prescribed dose of 0.175 mg to milligrams per milliliter (mg/mL) using the concentration of the Lanoxin elixir, which is 0.05 mg/mL.

To determine how many milliliters of Lanoxin elixir 0.05 mg/mL the nurse should administer to the patient, we need to use a simple formula:

Dose = Desired dose / Stock strength

Where:

Desired dose is 0.175 mg

Stock strength is 0.05 mg/mL

So, substituting the values into the formula:

Dose = 0.175 mg / 0.05 mg/mL

Dose = 3.5 mL

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answer two questions about the following rational division.

Answers

1. The quotient in lowest terms of the given rational division is (x+2)/(3x-9).

2. The values of r is A. x=-2 and B. x=0.

What is factor?

Factor is a quantity which when multiplied by another quantity, produces a given product. Factors are used to simplify and solve equations, as well as in other areas of mathematics. Factors can be numbers, variables, and expressions.

To find the lowest terms, we must divide the numerator and denominator by the same number. The largest common factor of the numerator and denominator is 3. Dividing both the numerator and denominator by 3, we get (x+2)/(3x-9) = (x+2)/(x-3).

The values of r that must be excluded from the domains of the expressions are x=0 and x=3. x=0 must be excluded because it will create a zero in the denominator which is not allowed. x=3 must also be excluded because it will create a zero in the numerator, and thus make the entire expression equal to 0. Thus, the correct answer is A. x=-2 and B. x=0.

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michael got a score of 83 on a geography test that has a mean of 72 and a standard deviation of 6 and josh got a score of 61 on an accounting test that has a mean of 55 and a standard deviation of 3, find the z-score

Answers

a) Michael's z-score is 1.83.

b) Josh's z-score is 2.

A z-score (also known as a standard score) is a statistical measurement that represents the number of standard deviations a data point is from the mean of the population. It's a way to standardize scores from different populations or datasets, allowing for easier comparisons.

To find the z-score, we use the formula

z = (x - μ) / σ

where

x = the individual score

μ = the mean of the population

σ = the standard deviation of the population

For Michael's score

x = 83

μ = 72

σ = 6

z = (83 - 72) / 6 = 1.83

Therefore, Michael's z-score is 1.83.

For Josh's score

x = 61

μ = 55

σ = 3

z = (61 - 55) / 3 = 2

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Lim_(x->0) (4^(2 x) - 1)/(7 x) = (2 log(4))/7

Answers

Using L'Hopital's rule, verified that Lim_x→0 (4^(2 x) - 1)/(7 x) = (2 log(4))/7

To solve the limit, we can use L'Hopital's rule. First, let's rewrite the limit as

lim_x→0 [(4^(2x) - 1)/x]/(7/2)

Now, we can apply L'Hopital's rule to the numerator

lim_x→0 [(4^(2x) - 1)/x] = lim_x→0 [8x*4^(2x-1)] = 0

So we get:

lim_x→0 [(4^(2x) - 1)/x]/(7/2) = (0)/(7/2) = 0

Therefore, the limit is 0.

Now let's verify the given answer using logarithmic properties

(4^(2x) - 1)/(7x) = (2 log(4))/7

Multiplying both sides by 7x

4^(2x) - 1 = 2x log(4)

Using the identity a^2 - b^2 = (a+b)(a-b), we can rewrite the left-hand side as:

(4^x + 1)(4^x - 1) = 2x log(4)

Dividing both sides by (4^x - 1)

4^x + 1 = (2x log(4))/(4^x - 1)

Now, taking the limit as x approaches 0, we get:

lim_x→0 [(2x log(4))/(4^x - 1)] = lim_x→0 [(2 log(4))/(ln(4) × 4^x)] = (2 log(4))/7

Therefore, the given answer is verified.

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you need to study the satisfaction of customers of a specific restaurant. you decide to randomly select one customer at each table. this would most closely describe which type of sampling technique?

Answers

Systematic sampling is the term used to describe the sampling method portrayed in the scenario.

Systematic sampling is a form of probability sampling technique in which a researcher randomly selects a beginning point before selecting every nth item from the target population. The researcher is choosing one consumer at each table in this case, which can be interpreted as choosing every nth customer, where n is the average number of customers per table.

When the researcher wants to select a sample from a pre-defined list and the target population is broad and diverse, systematic sampling is a beneficial strategy. Because it takes less time and resources to choose the sample, it is also a more effective strategy than simple random sampling.

It is crucial to remember that systematic sampling might induce bias if the process of selection follows a pattern or is regular. For instance, bias could be introduced if the researcher only chooses consumers at tables with even numbers, producing a non-representative sample. To eliminate bias and get a representative sample, it is crucial to ensure that the selection procedure is truly random.

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graph
y = -6
4x + y = 2

Answers

To the B Plus 32 and Divide 70162 Multiplied by A 62 Plus Y
to the B plus 32 an divide 70162 multiplied by A 62 plus y

Polygon D has been dilated to create polygon D′.

Determine the scale factor used to create the image.

Scale factor of 1.6
Scale factor of 1.2
Scale factor of 0.8
Scale factor of 0.6

Answers

The scale factor between polygon D and polygon D' is 1.67.

What is dilation transformation?

Dilation is a transformation in mathematics that alters a geometric figure's size while preserving its form and proportions. Enlargement or scaling are other names for it. Dilation can be achieved by multiplying each point's coordinates in a figure by a fixed number known as the scale factor. A figure is expanded when the scale factor is more than 1, and it is shrunk when it is between 0 and 1. Calculating ratios of areas or volumes, describing the relationship between like figures, and modelling real-world situations are all examples of how dilation is utilised in many different branches of mathematics, including geometry, algebra, and calculus.

The scale factor is given as:

scale factor = dimension of D' / dimension of D

Substituting the values:

scale factor = (8 / 4.8) = 1.67

Hence, the scale factor between polygon D and polygon D' is 1.67.

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Answer:

A 1.6

Step-by-step explanation:

The table below shows a set of points that have been dilated. The rule for the dilation is (x, y).
(x, y)
(0, 1)
(4,-2)
(-6,1)
True
False
Previous
(0,1)
(2,-1)
(-3,2)
O

Answers

Therefore, the table showing the original points and their corresponding dilated points is:

Original Point     Dilated Point

(0,1)                  (0,1/2)

(4, -3)                (2, -3/2)

(-6,1)                 (-3,1/2)

What is dilated point?

I believe you might have meant "dilated point", which is a term commonly used in geometry. A dilated point is a point that has been enlarged or reduced in size with respect to a fixed center of dilation.

To dilate a point, you need to multiply its coordinates by a scale factor, which is a constant value greater than zero. If the scale factor is greater than one, the point will be enlarged, and if it is less than one, the point will be reduced in size. The fixed center of dilation is the point about which the dilated point is enlarged or reduced.

given by the question.

To apply the dilation rule of (1/2x, 1/2y) to a given point (x,y), we need to multiply the x-coordinate and y-coordinate of the original point by 1/2.

Using this rule, we can find the dilated points for the given set of points as follows:

For the point (0,1), we have:

1/2x = 1/2 * 0 = 0

1/2y = 1/2 * 1 = 1/2

So, the dilated point is (0, 1/2).

For the point (4, -3), we have:

1/2x = 1/2 * 4 = 2

1/2y = 1/2 * (-3) = -3/2

So, the dilated point is (2, -3/2).

For the point (-6,1), we have:

1/2x = 1/2 * (-6) = -3

1/2y = 1/2 * 1 = 1/2

So, the dilated point is (-3,1).

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A pavement 4m wide is constructed along the outer side of the boundary of a square shaped ground having it's side of 13m length. Find the cost of levelling the pavement at the rate of RS 1. 25 per square meter

Answers

A pavement 4m wide is constructed along the outer side of the boundary of a square shaped ground having it's side of 13m length. The cost of levelling the pavement at the rate of Rs 1.25 per square meter is Rs 340.

As per given  information,

Side of a square shaped ground = 13 m

Width of pavement constructed = 4 m

We need to find the cost of levelling the pavement at the rate of Rs 1.25 per square meter.

Area of the square shaped ground = Side × Side= 13 × 13= 169 sq.m

Area of the square shaped ground along with pavement constructed

= (13 + 8) × (13 + 8)

= 21 × 21

= 441 sq.m

Area of the pavement constructed

= Area of the square-shaped ground along with pavement constructed - Area of the square shaped ground

= 441 - 169

= 272 sq.m

Cost of levelling 1 sq.m of pavement = Rs 1.25

Cost of levelling 272 sq.m of pavement = 272 × Rs 1.25 = Rs 340

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Which of the following relations represent functions? Select all that
apply.
A. y=4x-19
D. (-15, 10).(-15, 5),(-10, 0).(-10,-5).(-5, -10)

Answers

The only option that represetns a function is the linear equation:

y = 4x - 19

Which of the given relations represent functions?

A function is a relation that maps elements from one set, the domain, into elements of another set, the range.

Such that a relation is only a function if each element of the domain is mapped into a single value from the range.

For example, if you look at the second option, here we have the relation:

(-15, 10).(-15, 5),(-10, 0).(-10,-5).(-5, -10)

You can see that the input x = -15 is mapped into two different values, y = 10 and y = 5, so this is not a function.

In the other hand, the first option:

y = 4x - 19

Is a function, this is a linear equation, and each value of x gives a different value of y.

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If ΔDEF is similar to ΔPRY, what is the measure of PY?




A 12 centimeters
B 21 centimeters
C 24 centimeters
D 48 centimeters

Answers

The answer will be B, 21 centimeters!
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