The temperature in knowlton is 2.5 C colder than the terminal elmwood. Which equation shows the temperature, in C, in knowlton? 9 - 2.5 = 6.5 or 9 + 2.5 = 11.5 or -9 - 2.5 = - 11.5 or -9 + 2.5 = -6.5

Answers

Answer 1

The equation representing the asked situation is (9 - 2.5) = 6.5

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The temperature in Knowlton is 2.5 C colder than the terminal Elmwood.

We know, that, if temperature is colder in any area A than another area B then, A will have less temperature than B.

Therefore, temperature in Knowlton is less than that of in Elmwood.

Therefore, if the temperature in Elmwood is 9 the temperature in Knowlton will be 9-2.5 = 6.5

Hence, the required equation is  9-2.5 = 6.5

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Related Questions

Select the correct image.
Barry wants to host an event at a hotel that has four conference rooms. Each conference room has a maximum capacity of 150 people, but the
hotel limits the capacity to 1 person for every 4 square feet.
Sketches of the four conference rooms are shown below. Which room will stop Barry from hosting the event at the hotel?
25 ft
24 ft
28 ft
28 ft

Answers

The room that would stop Barry from hosting the event is the semicircular room.

Which room has a capacity that is less than 1 person per 4 square feet?

Would the first rectangular room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a rectangle = length x width

25 x 30 = 750 feet²

Number of people per square foot - 750 / 150 = 1 person for every 5 feet

Would the trapezoidal room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a trapezoid = 1/2 x (sum of parallel sides) x height

1/2 x (24 + 36) x 28 = 840 feet²

Number of people per square foot = 840 / 150 = 1 person for every 5.6 feet

Would the square room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a square = length x width

28 x 28 = 784 feet²

Number of people per square foot - 784 / 150 = 1 person for every 5.2 feet

Would the semi circular room allow Barry have the meeting?

The first step is to determine the area of the room

Area of a semicircle = 1/2πr²

Where:

r = 3.14

r = radius = diameter / 2 = 28 / 2 = 14 feet

1/2 x 3.14 x 14² = 307.72 feet²

Number of people per square foot - 307.72/ 150 = 1 person for every 2.05 feet

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Answer:

The semicircle

Step-by-step explanation:

ewomazinoade's answer is correct, not sure why at time of writing the rating is so low for their answer (3.7).

See pic!

An experiment was conducted by a group of students. There were 8 times recorded. The distance traveled was 30 meters. The times were 7.48, 7.45, 7.90, 7.37, 7.25, 7.40, 7.55, and 7.60. What was the average time

Answers

The average time is 7.5.  The average is calculated by dividing the total number of values in a given set by the sum of all the values in that set.

How to calculate average ?

An average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.

If every number in a list is the same number, then that number also serves as the average for the list. Every one of the diverse varieties of average shares this characteristic.

An average of the values in a sample of data can be used to define a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.

Average = Sum /  Count

Sum = 7.48 + 7.45 + 7.90 + 7.37 + 7.25 + 7.40 + 7.55 + 7.60

= 60 / 8

= 7.5

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How to tell if a number is rational or irrational calculator?

Answers

We can tell if a number is rational or irrational by Venn Diagram

Both irrational and rational numbers are exact, yet they have different properties. Any number that can be expressed as P/Q, where P and Q are both integers and Q is more than zero, is considered to be reasonable. Simple fractions, however, cannot be used to express an irrational number. An illustration of a rational number is 2⅔ 3, while an irrational number is √2.

All integers, fractions, and repeating decimals are included in the concept of a rational number. We may represent every rational number as p/q, where p and q are integer numbers.

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A "Pick 2" lottery game involves drawing 2 numbered balls from separate bins each containing balls labeled from 0 to 9. So there are 100 possible selections in total: 00, 01, 02, ..., 98, 99. Players can choose to play a "straight" bet, where the player wins if they choose both digits in the correct order. Since there are 100 possible selections, the probability a player wins a straight bet is 1/100. The lottery pays $50 on a successful $1 straight bet, so a player's net gain if they win this bet is $49. Let X represent a player's net gain on a $1 straight bet. Calculate the expected net gain E(X). Hint: The expected net gain can be negative. E(X) = dollars

Answers

The expected net gain E(X) in the context of this problem is given as follows:

E(X) = -$0.5.

How to obtain the expected net gain?

The net gain for this problem is modeled for a discrete distribution, as there are only two possible outcomes, given as follows:

Winning $49.Losing $1.

The probability of winning is of 1% = 0.01, while the probability of losing is of 99% = 0.99, hence the distribution of gains for this problem is given as follows:

P(X = -1) = 0.99.P(X = 49) = 0.01.

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability.

Hence the expected net gain for this game is calculated as follows:

E(X) = -1 x 0.99 + 49 x 0.01.

E(X) = -$0.5.

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Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15

Answers

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

what is solution ?

a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation.  The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.

given

y = 3x + 1

y = 3x + 1

The two equations are independent and consistent since they cross at a single precise location.

y = 3x + 1

y = x + 3

The two equations are independent and consistent since they cross at a single precise location.

y = x + 3

These two equations are incompatible because they do not intersect.

y = x + 3

To identify which line it is, rearrange the first equation into slope-intercept form.

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

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An object is moving at a speed of 3 yards per month. Express this speed in centimeters per day.

Answers

The speed of the object is 9.14 cm per day.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given that, An object is moving at a speed of 3 yards per month. we are asked to express this speed in centimeters per day.

For this, we will have to convert the units,

1 yard = 91.44 cm

3 yards = 91.44 × 3 = 274.32 cm

Therefore, we can say the object is moving 274.32 cm per month

Now,

If it moves 274.32 cm in one month,

Therefore, in day, it will move = 274.32 / 30    [1 month = 30 days]

= 9.144

Hence, the speed of the object is 9.14 cm per day.

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Wastewater is filling barrels at the rate of 13 quarts per hour. The recycling facility picks up 96 full barrels on each trip, and each barrel holds 30 quarts of wastewater. How many days are between each pickup

Answers

If the recycling facility picks up 96 full barrels on each trip then there is 9 days gap between each pickup.

What is the recycling facility picks up?

Recycling is the practice of reusing materials in existing products to create new ones. This can be accomplished in expected ways—such as using recycled paper as packaging material—or unexpected ways—such as using recycled glass to make artificial turf. Recycling helps to conserve limited resources, and—its proponents argue—it has other environmental benefits as well.

Since the recycling facility picks up 96 barrels on each trip

and each barrel contains 30 quarts of effluent.

Thus, the total volume of wastewater is 30 x 96, or 2880 quarts.

Each barrel is filled at a rate of 13 quarts per hour.

So 2880 quarts filled in hours.

We can now change 221.54 hours to days.

= 9.23 days

There are so 9 days in between pickups.

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y^2=1/5(x-4), (24,2)

Answers

you end up getting 4 = 4
sub in the x and y values
x = 24 and y = 2

What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?

Answers

The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4

The expression is 3x²

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x²  is 3

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x²  is 3.

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GIVING BRAINLIEST! HELP

Answers

Answer:

Its first option. bcz its doubled... right..

Bruce has been offered a position selling bungee seat belts to sports car manufacturers. He was given a choice of receiving a monthly salary of $500 plus a bonus of 25% of his monthly sales or a $2,000 monthly salary with a 5% bonus on sales. How much would Bruce have to sell to make the same amount of money from each?

Answers

Answer:

$7500

Step-by-step explanation:

Let x = amount of monthly sales.

Choice A:

"monthly salary of $500 plus a bonus of 25% of his monthly sales"

monthly salary = 0.25x + 500

Choice B:

"$2,000 monthly salary with a 5% bonus on sales"

monthly salary = 0.05x + 2000

We set the total monthly salaries equal and solve for x.

0.25x + 500 = 0.05x + 2000

0.2x = 1500

x = 1500/0.2

x = 7500

Answer: $7500

NEED HELP ASAPP 100 POINTSSS

Answers

Answer:

Statement 1) Corresponding angles

Statement 2) Congruent

Statement 3) 150 degrees

Statement 4) Vertical Angles

Statement 5) Congruent

Statement 6) 150 degrees

Statement 7) Alternate exterior angles

Statement 8) Congruent

Statement 9) Alternate Interior angles are congruent

Step-by-step explanation:

Explanation:

1) I've learned this before

2) Not all Corresponding angles are obtuse

3) Corresponding angles have the same measure

4) I've learned this before

5) Vertical Angles are congruent

6) Same reason as before

7) I've learned this before

8) Alternate Interior angles are congruent

9) I've learned this before

Please mark me the brainliest! Thank you!

GIVING BRAINLIEST AND MANY POINTS FOR ANSWER I BEG PLEASE PLEASE


1. Use the Distributive Property to simplify the expression.
6(5 - q)



Group of answer choices

11 - 6q

11 - q

30 - 6q

1 - q

3.
Use the Distributive Property to simplify the expression.

(d + 2)(-7)



Group of answer choices

-7d - 14 OR -7d + -14

7d - 2 OR 7d + -2

d - 14 OR d + -14

d - 5 OR d + -5

4. Use the Distributive Property to simplify the expression.

-4(x - 6y)





Group of answer choices

4x + 24y

-4x + 24y

4x - 1.5y

-4x - 10y


5. Use the Distributive Property to simplify each expression.

a) -3(5 + b)

=
[ Select ]
+
[ Select ]
b



b) 3(-4x + 8)

=
[ Select ]
x +
[ Select ]


6. The table shows different prices of items at a movie theater.

Item Cost ($)
box of candy 2.25
drink 3.25
popcorn 4.50
ticket 7.50


Suppose Mina and her two friends want to go to the movies.

Which expression could be used to find the total cost if each of them buy one of each item?


[ Select ]


What is the total cost for all three people?

$
[ Select ]

Answers

Answer:

1. 30 − 6q

3. −7d − 14 OR -7d + -14

4. = −4x + 24y

5. a) −3b − 15           b)−12x + 24

6. For the first answer to this question: 3x + 3y OR 3x = t

For the second answer to this question: 3x = t and it costs 15 dollars in total with x = 5.

Please awnswer the question below

Answers

Answer:

- ANTIFRAGILE -

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

가시밭길 위로 riding, you made me boost up (ah-ah-ah-ah)

거짓으로 가득 찬 party 가렵지도 않아

내 뒤에 말들이 많아, 나도 첨 듣는 내 rival

모두 기도해 내 falling 그 손 위로 I'ma jump in

Yes, gimme that

걸어봐 위엄 like a lion

눈빛엔 거대한 desire (nan-na-na-eh)

더 부어 gasoline on fire

불길 속에 다시 날아 rising (nan-na-na-eh)

잊지 마, 내가 두고 온 toe shoes

무슨 말이 더 필요해?

무시 마, 내가 걸어온 커리어

I go to ride 'til I die, die

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

Lovey, lovey, lovey

Dovey, dovey, dovey

멋대로 정하네 나란 애에 대해

I don't know what to say, I can't feel it

뜨거운 관심은 환영, 귀여운 질투는 go ahead

줄 달린 인형은 no thanks 내 미랠 쓸 나의 노래

Yeah, gimme that

걸어봐 위엄 like a lion

눈빛엔 거대한 desire (nan-na-na-eh)

더 부어 gasoline on fire

불길 속에 다시 날아 rising (nan-na-na-eh)

잊지 마, 내가 두고 온 toe shoes

무슨 말이 더 필요해?

무시 마, 내가 걸어온 커리어

I go to ride 'til I die, die

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

We can break it baby

Rock it, twist it, lock it baby

All I know is you can't chain me

'Cause I'm gonna break out

Gonna, gonna break out, out

We can break it baby

Rock it, twist it, lock it baby

All I know is you can't chain me

'Cause I'm gonna break out

Gonna, gonna break out, out (whoa-uh-oh-oh!)

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

- song by Le Sserafim

- song title : anti fragile

- stan Le Ssefarim for a better life <3

xoxo

Step-by-step explanation:

The price of a video game was orginally $60. There was a $15 discount. By what percentage was the price of the video game reduced?

Answers

Answer$84:

Step-by-step explanation:

Answer: 25%

Step-by-step explanation:  

quickkkkk plss help me

Answers

The answer is 55 because the absolute value of any number is positive so 30 + 25 = 55

Margo borrows $700, agreeing to pay it back with 8% annual interest after 16 months. How

much interest will she pay?

Answers

After 16 months, Margo will pay  $74.67  interest

We know that the simple Interest Formula

I = P × r × t

Where: P = Principal Amount

I = Interest Amount

R = Rate of Interest as a percent

r = Rate of Interest in decimal

r = R/100

t = Time Periods involved

Here we have been given P = $700, t = 16 months and R = 8%

First we convert interest rate R percent to r a decimal

r = R/100

  = 0.08 per year,

Now we convert time from months to years .

16 months ÷ 12 months/year

= 1.333333 years,

Using above formula of simple interest,

I = P × r × t

I = 700 × 0.08 × 1.333333

I = $ 74.67

Hence, the simple interest accumulated on a principal of $ 700.00 at a rate of 8% per year for 16 months is $ 74.67.

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How do you draw an acute angled isosceles triangle?

Answers

Answer:

To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.

Step-by-step explanation:

Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.

What is an example of ordered pair function?

Answers

An ordered pair function is a type of mathematical function that associates certain pairs of elements (called ordered pairs) with a single output. For example, the function f(x,y) = x+y associates the ordered pair (2,3) with the output 5.

What is function?

A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions such as print(), etc. but you can also create your own functions. These functions are called user-defined functions.

This is because 2+3 = 5. Another example is the function f(x,y) = x×y,

which associates the ordered pair (3,4) with the output 12, since 3×4 = 12.

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PLEASE HELP: Given AC and BD bisect each other, prove that ΔABX≅ΔCDX using the SAS congruence theorem. ??

Answers

The ∆ABX and ∆CDX formed after the mutual bisection of AC and BD each other at point X are congruent i.e ΔABX ≅ ΔCDX, by SAS congruance theorem.

SAS congruence theorem: "SAS " stands for "Side-Angle-Side". If there is two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are said to be congruent. We have , A Quadrilateral ABCD, such that AC and BD bisect each other at point X. After bisection there is formed 4 triangles. We have to show ΔABX ≅ ΔCDX by SAS Congruance Rule. Now, as we know that bisect point divides the sides into two equal parts, i.e, AX = CX and DX = BX. So, in ΔABX and ΔCDX

AX = CX ( since X is bisecter point )BX = DX ( from bisection )m∠AXB = m∠CXD ( corresponding angles)

As we see ∠AXB is angle in between to two sied AX and BX . Similarly, ∠CXD is in between CX and DX . So, by using SAS congruance theorem ∆ABX is congruent to ∆CDX i.e., ΔABX ≅ ΔCDX.

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Why is there only 180 degrees in a triangle?

Answers

A triangle is a three-sided polygon and each of its interior angles must add up to 180°; so each angle can have at most 180°.

A triangle is a three-sided polygon with three interior angles. According to the mathematical rule known as the “sum of interior angles”, the sum of the three interior angles of any triangle must always equal 180 degrees. Therefore, if the three angles of a triangle are A, B, and C, then A + B + C = 180. Since the sum of the three angles must equal 180 degrees, it means that each angle can have at most 180 degrees; none of the angles can be greater than 180 degrees. In other words, the maximum possible value of the angles in a triangle is 180 degrees, so the triangle can have only 180 degrees in total.

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4 12. DISCUSS MATHEMATICAL THINKING Recall that a perfect square is a number with integers as its
square roots. Is the product of two perfect squares always a perfect square? Is the quotient of two
perfect squares always a perfect square? Explain your reasoning.
Please help will give Brain liest

Answers

Yes the product of two perfect squares is always a perfect square, But the quotient of two perfect squares is not always a perfect square.

What is perfect square?

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Examples of perfect squares include 4 (2*2), 9 (3*3), and 25 (5*5).

What is quotient of a number?

The quotient is the result obtained after performing division of one number by another. It is the number of times that the divisor can be subtracted from the dividend until the remainder is smaller than the divisor.

The product of two perfect squares is always a perfect square because the root of the products is equal to the product of roots as shown below,

let us take the two perfect squares 4 and 9, so the square root of 4*9 is,

[tex]\sqrt{4*9} =\sqrt{4} *\sqrt{9} \ =2*3=6[/tex]

But , the quotient of two perfect squares is a perfect square,

When we divide two perfect squares we are not always going to get a quotient that can be represented as the square of an integer. For example, (36/16) = 9/4 which is not a perfect square.

However, if the numerator and denominator in the quotient are the same perfect square then the quotient will be 1 which is a perfect square.

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23. We are laying new carpet in the classroom which is 84 square feet. If the width is 5 feet
more than the length, what are the dimensions of the floor?/

Answers

Let l be the length of the classroom in feet, and w be the width of the classroom in feet. We know that l + 5 = w and l * w = 84.

We can use these two equations to solve for the length and width of the classroom.

First, we can solve the second equation for l:

l = 84 / w

Substituting this expression for l into the first equation gives us:

84 / w + 5 = w

Expanding the left side of the equation gives us:

84 / w + 5 = w

84 / w = w - 5

84 = w^2 - 5w

w^2 - 5w - 84 = 0

This is a quadratic equation that we can solve using the quadratic formula:

w = (5 + sqrt(5^2 - 4 * 1 * -84)) / 2 * 1

= (5 + sqrt(25 + 336)) / 2

= (5 + sqrt(361)) / 2

= (5 + 19) / 2

= 24 / 2

= 12

Now that we know the value of w, we can substitute it back into the equation l = 84 / w to find the value of l:

l = 84 / 12

= 7

Therefore, the dimensions of the classroom are 7 feet by 12 feet.

Eve has been keeping an eye on an emerald ring she likes. Its original price was $1,730. After
being marked down for a clearance sale, it is now $1,038. By what percent has the price of the
ring gone down?

Answers

40 percent price of the ring gone down due to a clearance sale

What is percent value?

In mathematics, percent implies a relative value of any quantity. Generally, percent value expresses the hundredth parts of any given quantity. Sometimes, operator % is used to indicate a percent value.

From a given percent value we can determine the real value and percent value is calculated from the original data.

What is the percent value of the ring that gone down?

given, the original price of the emerald ring = $1730

after a clearance sale, the price of ring became = $1038

difference in price = $(1730-1038) = $ 692

hence, the price of the ring that gone down = $692

now, percent value of the price gone down = $692/$1730 × 100

                                                                          = 40%

hence, forty percent of the ring price gone down.

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help! determine the equation of the circle graphed below:

Answers

The equation of a circle is (x+3)² + (y+5)² = 4² with a center at (-3,-5).

What is the equation of a circle?

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The center is approximated to lie at the position (-3,-5) in the graph below with the axes of symmetry. The points of intersection of the circle with any of the two axes (broken lines) provide a diameter of around 8 units, and so the radius is half the diameter, which is 4 units.

The equation of the circle whose graph is given below is:

(x+3)² + (y+5)² = 4²

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How do you write a compound statement in symbolic form?

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A compound statement is a statement that combines two or more simpler statements using logical connectives such as "and", "or", "not", "if-then", "if and only if", etc. To write a compound statement in symbolic form, you can use logical symbols to represent the different parts of the statement.

"∧" (and) is used to connect two statements, meaning that both statements must be true for the compound statement to be true. For example, "P ∧ Q" is read as "P and Q" and represents the statement "P and Q are true."

"∨" (or) is used to connect two statements, meaning that at least one of the statements must be true for the compound statement to be true. For example, "P ∨ Q" is read as "P or Q" and represents the statement "P or Q is true."

"¬" (not) is used to negate a statement, meaning that the statement is false if the original statement is true and vice versa. For example, "¬P" is read as "not P" and represents the statement "P is false."

"→" (if-then) is used to connect two statements, meaning that if the first statement is true, then the second statement must also be true. For example, "P → Q" is read as "if P then Q" and represents the statement "if P is true, then Q is also true."

"↔" (if and only if) is used to connect two statements, meaning that the two statements are either both true or both false. For example, "P ↔ Q" is read as "P if and only if Q" and represents the statement "P is true if and only if Q is true."

For example, the compound statement "If it is raining, then I will bring an umbrella, but if it's not raining, I will wear sunglasses" can be written in symbolic form as:

(R → U) ∧ (¬R → S)

Where "R" represents the statement "it is raining", "U" represents the statement "I will bring an umbrella" and "S" represents the statement "I will wear sunglasses".

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Condition A a recangle with four right angles condition B: a square with one side measuring 5 inches conddion C: a rhombus with one angle measuring 43 condition D: a parallelogram with one angle measuring 32 condition E a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches condition F: a rectangle with adjacent sides measuring 4 inches and 3 inches One Quadrilateral Many Quadrilaterals​

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The conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.

What is a quadrilateral?

A  quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. Quadrilaterals always have a total internal angle of 360 degrees.

Given,

condition A : a rectangle with four right angles

condition B : a square with one side measuring 5 inches

condition C : a rhombus with one angle measuring 43°

condition D : a parallelogram with one angle measuring 32°

condition E : a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches

condition F : a rectangle with adjacent sides measuring 4 inches and 3 inches.

Now we are asked to match the above conditions to one quadrilateral and many quadrilaterals groups according to the number of quadrilaterals that can be constructed using the given condition.

Condition A : Many Quadrilaterals

All the rectangles have four right angles in them. So many rectangles of different lengths can be formed.

Condition B : One Quadrilateral

The defining factor that make a square unique is the length of its side. All the sides of the square also has equal length. So only one square of 5 inches side can be made.

Condition C: Many Quadrilaterals

For a rhombus the opposite angles are equal and the sum of angles should be 360°. Even though the angles are fixed, this rhombus can have any side length.

Condition D: Many Quadrilaterals

As discussed for rhombus, even though the angles of the parallelogram is fixed, there can be many sides lengths.

Condition E: One Quadrilateral

In this case, side length as well as the angle of the parallelogram is given. So there can be only one parallelogram.

Condition F:One Quadrilateral

The side lengths are what make a rectangle one of its kind. So one one rectangle can be formed with lengths 4 inches and 3 inches.

Therefore conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.

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How do you solve a 45 45 90 and 30 60 90 triangle?

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All 45-45-90-degree triangles have sides that are in a unique ratio. The two legs are exactly the same length.

This triangle is important because any time we're given one side of a 45-er triangle, we can figure out the other two sides.

If one leg is given, the hypotenuse is calculated by multiplying this length by the square root of 2.The hypotenuse is given, and the leg is calculated by dividing the hypotenuse by the square root of 2.

The 30-60-90 degree triangle is half of an equilateral triangle, cut straight down the middle along its altitude. This triangle has angles of 30°, 60°, and 90°.

The shortest leg is over from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg,If the hypotenuse is given, the long leg is calculated by dividing the hypotenuse by 2.If the long leg is given, the hypotenuse is calculated by dividing this side by the square root of 3.

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The joint and marginal pdf's of x = amount of almonds and Y = amount of cashews are
F(x,y) = fx(x) =
with fy(y) obtained by replacing x by y in fx(x). It is easily verified that Mu x = Mu y = A, and E(XY) = 2/ 5 Compute the correlation coefficient p for X and Y. P=

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The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

What is correlation coefficient?

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

[tex]$ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}[/tex]

[tex]$=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}[/tex]

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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a stadium is filled to 80% capacity. If 2,560 people are in the stadium, how many people would fill the stadium to its full capacity?

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2048 people would fill the stadium to its full capacity

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a stadium is filled to 80% capacity

There are  2,560 people are in the stadium

We need to find how many people would fill the stadium to its full capacity.

We have to convert 80% to decimal by dividing 2560 with 100

80/100

0.8

Now multiply 0.8 with 2560

0.8×2560

2048

Hence, 2048 people would fill the stadium to its full capacity

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