What is the image of A(5,6) under R90°?

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

========================================================

Explanation:

The unique digits are: 9, 6, 1

There are 1+3+3 = 7 digits with the repeats mentioned. If we could somehow tell the 6's apart and the 1's apart, then we'd have 7! = 7*6*5*4*3*2*1 = 5040 different permutations.

But because we can't tell the 6's apart, nor the 1's apart, this means we have to divide by (3!*3!). Each 3! represents the number of times the 6's show up and same goes for the 1's.

So (5040)/(3!*3!) = 5040/(6*6) = 5040/36 = 140 is the number of ways to rearrange the digits

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

__

Squaring the equation for eccentricity gives ...

  e² = 1 -b²/a²

Solving for b², we have ...

  b²/a² = 1 -e²

  b² = a²(1 -e²)

Using the given values, we find ...

  b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

  x²/2166784 +y²/2159989 = 1

Given the system

To solve it you have apply the addition method, this means that you have to add both equations.

You have to keep in mind that is only valid to add the terms that have the same variables.

The solution is 9x-y=20

Answer:

0.05

Step-by-step explanation:

The slope between the two points is calculated by using the formula for the slope of a line: slope = (y₂ - y₁) / (x₂ - x₁).

Here is the code in Java to declare and read the variables and find the slope between two points:

import java.util.Scanner;

public class Main {

 public static void main(String[] args) {

   Scanner input = new Scanner(System.in);

   double x₁, y₁, x₂, y₂, slopeNumber;

   System.out.print("Enter x₁: ");

   x₁ = input.nextDouble();

   System.out.print("Enter y₁: ");

   y₁ = input.nextDouble();

   System.out.print("Enter x₂: ");

   x₂ = input.nextDouble();

   System.out.print("Enter y₂: ");

   y₂ = input.nextDouble();

   slopeNumber = (y₂ - y₁) / (x₂ - x₁);

   System.out.println("The slope between the two points is: " + slopeNumber);

 }

}

In this code, we use the Scanner class to read the input from the user. The user is prompted to enter the values of x₁, y₁, x₂, and y₂. Then, the slope between the two points is calculated by using the formula for the slope of a line: slope = (y₂ - y₁) / (x₂ - x₁).

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--The given question is incorrect; the correct question is

"Declare double variables x₁, y₁, x₂, and y₂, and read each variable from input in that order. Find the slope between point (x₁, y₁) and point (x₂, y₂) and assign the result to slope number."--

Jack spend $15 on sweets

Jack spend $35 on magazines

Jack saves $50

Given,

Jack spends 15 % of his pocket money on sweets and 35 % on magazines.

Jack save the rest ; 100 - (15 + 35) = 100 - 50 = 50%

Here,

If Jack has a pocket money of $100

The money he spends on sweets = 15% of 100 = $15

The money he spends on magazines = 35% of 100 = $35

Then,

The money he saves = 50% of 100 = $50

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Answer:

1

Step-by-step explanation:

1) substitute z with 4 in the equation

(m^3)^4

2) multiply the index

m^3*4

=m^12

3) m^12≠ m^7

therefore, 1 is a lie

The statements above which is a lie is number 1

Statement 1 :

(m^3)^z = m^7

m^3z = m^7

3z = 7

z = 7/3 (False)

Statement 3 :

(4^5)^z = 4^20

4^5z = 4^20

5z = 20

z = 4 (True)

Statement 2 :

(12^3)^2 = 12^6

(12^y)^x = 12^6

12^6 = 12^6

(True)

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The number which is lesser than its square is 12/11

When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5. 

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The numbers are

9/10 , 12/11 , 15/16 and 13/13

The squares are

81/100, 144,121, 225/256, 1

here

81/100 < 9/10 abd

225/256 < 15/16

144/121 > 12/11

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Answer:

Choice D

Step-by-step explanation:

You would add up all the numbers then insert the total into the denominator. Lastly you would look at the amount of jelly treats then insert it into the numerator.

Answer: 140°

Step-by-step explanation:

look at the little number

The area of the regular hexagon value calculated using given perimeter of the regular hexagon is equal to option C. 600√3 square meters.

As given in the question,

Perimeter of the regular hexagon is equal to 'P' = 120m

Relation between the area of the regular hexagon 'A' and the perimeter of the regular hexagon 'P is given by :

A = √3 × ( P²/24 )

  = √3 × [(120)²/ 24]

  = √3 × ( 14400 / 24 )

  = √ 3 × 600

 = 600√3 square meters

Therefore, the area of the regular hexagon using the perimeter of the regular hexagon is equal to Option C.  600√3 square meters.

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Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

The solution to the arithmetic progression is A = 94,188

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be represented as A

Now , the value of A is

Let the zeroth term of the series be a₀

when i = 0

∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312

a₀ = -312

Let the first term of the series be a₁

when i = 1

∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312

a₁ = 310

So , the common difference d of the series = first term - zeroth term = 2

The value of d = 2

The number of terms n = 500

Sum of n terms of the arithmetic sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]

On simplifying the equation , we get

A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]

A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]

A = -312 + ( 250 ) [ 378 ]

A = -312 + 94,500

A = 94,188

Hence , the sum of the arithmetic sequence is 94,188

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SOLUTION:

To find the roots of this given equation, we either make use of completing the square method or formula method because it is obvious that equation is not factorisable.

The correct options are options B and D.

The amount saved is $0.80 or 80 cents.

Since Soil sells for 8 1/4 cents per pound, the coat for 100 pound sack will be:

= 8 1/4cents × 100

= 8.25 cents × 100

= 825 cents

Since 100 cents = $1

825 cents = 825/100

825 cents = $8.25

Since the 100 pound sack was bought for $7.45, the amount saved will be:

= $8.25 - $7.45

= $0.80

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The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

0.7

Step-by-step explanation:

49 out of 63 so it is 49/63 which is 0.7777 inf

Answer:

0.512 = 51.2% probability that a player defeats at least three opponents in a game

Step-by-step explanation:

Outcomes in which he defeats less than three opponents:

Lose to the first opponent: 0.2 probability.

Beats the first opponent, loses to the second: 0.8*0.2 probability

Beats the first two opponents, loses to the third: 0.8*0.8*0.2 probability:

Probability of losing before beating three opponents:

\(P(b < 3) = 0.2 + 0.8*0.2 + 0.8*0.8*0.2 = 0.488\)

What is the probability that a player defeats at least three opponents in a game?

\(P(b \geq 3) = 1 - p(b < 3) = 1 - 0.488 = 0.512\)

0.512 = 51.2% probability that a player defeats at least three opponents in a game

The approximate 90% confidence interval for this situation is given as follows:

(70244, 70632).

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

From the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.645.

The parameters are given as follows:

\(\overline{x} = 70438, \sigma = 645.3, n = 30\)

The lower bound of the interval is given as follows:

\(70438 - 1.645 \times \frac{645.3}{\sqrt{30}} = 70244\)

The upper bound of the interval is given as follows:

\(70438 + 1.645 \times \frac{645.3}{\sqrt{30}} = 70632\)

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Answer:

x=148

Step-by-step explanation:

First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.

x=148.

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Answer:

Step-by-step explanation:

2030615 avatar

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

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Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Step-by-step explanation:

how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .

Answer:

 7/10

Step-by-step explanation:

1 yard = 3 feet

Then the given ratio is ..

21 feet : 10 yards = 7 yards : 10 yards = 7 : 10

As a fraction, the ratio is 7/10.