Henry sends his hawk with a message to his uncle. The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip. How far is Henry's uncle from Henry if the speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather?

Here is the code to create the "game" object with the specified properties and methods:

let game = {

 winner: {

   name: "Team A",

   score: 10

 },

 loser: {

   name: "Team B",

   score: 5

 },

 getmarginofvictory: function() {

   return this.winner.score - this.loser.score;

 },

 showsummary: function() {

   console.log(`Winner: ${this.winner.name} (${this.winner.score})`);

   console.log(`Loser: ${this.loser.name} (${this.loser.score})`);

   console.log(`Margin of Victory: ${this.getmarginofvictory()}`);

 }

};

game.showsummary();

This code creates an object in JavaScript called "game" that represents a competition between two opponents or teams. The game object has properties called "winner" and "loser", which are objects themselves with properties "name" and "score".

The game object also has two methods: getmarginofvictory and showsummary. The getmarginofvictory method returns the difference between the winner's score and the loser's score, and the showsummary method outputs to the console the winner's name and score, the loser's name and score, and the margin of victory.

You can use the game object by calling its methods, such as game.showsummary(), which will display the summary of the competition to the console.

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Answer:

810 x 1/9 = 90

?= 810

Step-by-step explanation:

Answer:

the answer is 360

Step-by-step explanation:

1. Simplify the 1/4

2 write the whole as a fraction using  4  as the denominator :

              90          90 • 4

   90 =  ——  =  ——————

         1                       4  

3.  Do the multiplication 90x 4 = 360

x- 360

----------

4        

then do 0 * 4 to get the denominator

The greatest common factor of the expression 5x²a + 5xa² is 5xa

To find the greatest common factor (GCF) of the expression 5x²a + 5xa², we need to find the greatest term that can divide into both terms in the expression.

In this case, the GCF is 5xa, as it can divide into both 5x²a and 5xa².

We can check this by dividing both terms with 5xa:

5x²a + 5xa² = (5xa)(x) + (5xa)(a) = 5xa (x + a)

Thus, the GCF of 5x²a + 5xa² is 5xa.

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Answer:

Range is 8

Step-by-step explanation:

To find range you need to subtract the largest number with the smallest. The largest is 28 and the smallest is 20.

28-20=8

An outcome is any one of the possible results of an action

An outcome is a result of an action, experiment, or random process. In probability, the outcome is a single event or the result of a random experiment.

For example, when you roll a die, the outcome can be any of the numbers from 1 to 6.

In a coin flip, the outcomes are heads or tails.

The set of all possible outcomes of a random experiment is called a sample space.

An outcome can be represented by a single element of the sample space, and the collection of all possible outcomes is called the event.

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The length of ML in the line segment is 35 units.

The figure below has the following length as follows:

LN = 79 units

Let's find ML in the line segment as follows:

LM + MN = LN

Hence,

LM = 5y - 5

MN = 4y + 12

Therefore,

LN = 5y - 5 + 4y + 12

79 = 5y - 5 + 4y + 12

79 = 9y + 7

79 - 7 = 9y

72 = 9y

divide both sides by 9

y = 72 / 9

y = 8

Therefore,

ML = 5(8) -5

ML = 40 - 5

ML = 35 units

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

Simplify = 7x/6 - 3/28

Reciprocal = 6x/7 - 28/3

Step-by-step explanation:

Add x to the top of the first fraction to combine them.

To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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Answer:

Step-by-step explanation:

Hey there! :)

Answer:

A = 10 units².

Step-by-step explanation:

To solve this, we need to find the distance between the two points to derive the side-lengths of the square. Use the distance formula:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

Plug in points into the formula to find the distance:

\(d = \sqrt{(3 - 2)^2 + (4-1)^2}\)

Simplify:

\(d = \sqrt{(1)^2 + (3)^2}\)

\(d = \sqrt{(1) + (9)}\)

\(d = \sqrt{10}\)

Find the area of the square using the formula A = s² where s = √10:

A = (√10)²

A = 10 units².

Answer:

10

Step-by-step explanation:

We use the distance formula to find the distance between the two points, which is the side length of the square.. Therefore, the area of the square is 10.

Answer:

180 \(cm^2\)

Step-by-step explanation:

L x W x H

6 x 5 x 6

180

Answer:  180 cubic centimeters

Step-by-step explanation:

Each little blue cube measures 1 cm in each direction - width, height, and depth.

The volume of the whole figure is just the volume of all the little cubes, added up.

The block of cubes is 5 cubes wide and has a depth of 6 cubes. So each horizontal layer is 5 * 6 = 30 cubes, total.

The block of cubes is 6 layers deep, so we have 6 layers of 30 cubes each = 6 * (30 cubes) = 180 cubes in all.

Each cube is 1 cubic centimeter (abbreviated 1 cc), so 180 of them have a combined volume of 180 cc.

A shorter way to say all this is to say that V = width * depth * height =

    = 5 cm * 6 cm * 6 cm = (5)(6)(6) cm³ = 180 cubic centimeters

Answer:

B 135

Step-by-step explanation:

The sum of the measures of the central angles of a circle is 360 deg.

x + 130 + 95 = 360

x + 225 = 360

x = 135

Answer: B 135

Answer:

50 degrees

Step-by-step explanation:

Triangle = 180

180 - 90 = 90

? = 50 degrees

Answer:

Because we don't have life without water it is precious

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

Radius of cylinder = 4.5 inch

Circumference of Base = 9π inch

Area of base = 20.25π

Step-by-step explanation:

Given:

Diameter of cylinder = 9 inch

Height of cylinder = 22 inch

Find:

Radius of cylinder

Circumference of Base

Area of base

Computation:

Radius of cylinder = Diameter of cylinder / 2

Radius of cylinder = 9 / 2

Radius of cylinder = 4.5 inch

Circumference of Base = 2πr

Circumference of Base = 2π(4.5)

Circumference of Base = 9π inch

Area of base = πr²

Area of base = π(4.5)²

Area of base = 20.25π

Answer:

See below.

Step-by-step explanation:

9(n+8)-6

n=5

9(5+8)-6

9(13)-6

117-6

111

A sum is the answer to an addition expression or equation.

When one refers to "less than", they mean the number is "less than" the entirety of the expression or equation.

-hope it helps

Given a set A={1,2,3,4,5,6,7}, a relation induced by the partition of set A is

(1,2,3) -> {1,2,3}, (4,5) -> {4,5}, (6,7)-> {6,7}

Generally, A set comprises elements or members that may be mathematical objects of any sort, including numbers, signs, points in space, lines, other geometric forms, variables, or even other sets. A set is a mathematical formula for a collection of various things.

A relation induced by a partition of a set is a relation that defines a way of grouping elements in the set into subsets, called "blocks" or "cells". In this case, the set

A={1,2,3,4,5,6,7}

can be partitioned into at least 3 subsets. For example, one possible partition is

A={1,2,3}, {4,5}, {6,7}.

The relation induced by this partition is a relation that assigns to each element in one of the 3 subsets, i.e.

(1,2,3) -> {1,2,3}, (4,5) -> {4,5}, (6,7)-> {6,7}

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The actual distance that is represented by 30 inches on the map is 225 miles.

What is proportion statement?

Simply stating that two ratios are equal is what a proportion is. There are two methods to write it: either using two equal fractions, a/b = c/d, or by using a colon, a:b = c:d.

Given that, a map's scale indicates that 2 inches correspond to 15 miles.

Therefore the scale factor is 15:2.

Assume a proportional statement:

a:b = c:d

Let c:d = 15:2 and b = 30

a:30 = 15:2

Rewrite the ratio as a fraction:

a/30 = 15/2

Multiply both sides by 30

a = (15/2) × 30

a = 225

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Answer:

P(not landing on blue section)=2/3

Step-by-step explanation:

Not landing on blue section = landing on one of the other sections

the remaining sections are 2 each one has a P=1/3

2 × 1/3 = 2/3

Answer:

66%

Step-by-step explanation:

2 divided by 3= 0.666666666 which is then converted to percent (66%)

Answer:

\(g(x)=-x-5\)

Step-by-step explanation:

if we reflect across the y-axis, the y-value is just being negated, or in other words from positive -> negative or negative -> positive depending on what the initial y-value was.

So if we have the function \(f(x)=x\), then we just negate the x, since the x represents the y-value.

This gives us: \(g(x)=-x\)

Now to translate 5 units down, the y-value is decreasing by 5 units, and since the -x represents the y-value, we just subtract 5 from it to get

\(g(x)=-x-5\)

The area of the curve in the first quadrant is A = 2/7 units²

Given data ,

Let the region described is bounded by the curves y = x^(2/5) and y = 1 be in the first quadrant

Now , the point of intersection of these two curves is given by

x^(2/5) = 1

x = 1^5

So the two curves intersect at x = 1

Now , the area of the curve is given by y = x^(2/5) is the lower curve and y = 1 is the upper curve in the given interval [0, 1]

And , the , integral is used to find the area

∫[from 0 to 1] (1 - x^(2/5)) dx

∫(1 - x^(2/5)) dx = x - (5/7)x^(7/5) + C

Evaluated from 0 to 1, we get:

[(1 - (5/7)(1^(7/5))) - (0 - (5/7)(0^(7/5)))]

Simplifying further, we get:

[(1 - 5/7) - 0] = 2/7 units²

Hence , the area of the region bounded by the curves y = x^(2/5) and y = 1 in the first quadrant is 2/7 square units

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The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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If A, B and C be events relative to the sample space S, then the Venn diagram of the representing event has been plotted

Let A, B and C be events relative to the sample space S.

The sample space is the set of all possible outcomes of the experiment.

The Venn diagram is the pictorial representation of the sample space of the experiment by using the circles and the overlapping of the circles.

Here we have to plot the each representing events using the Venn diagram representation

Part a

The event is (A ∩ B)'

Plot the Venn diagram

Part b

The event is (A ∪ B)'

Plot Venn diagram

Part c

The event is (A ∩ C) ∪ B

Plot the Venn diagram

Therefore, the Venn diagram of the each event has been plotted

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