Irene's grandfather arrived in Sydney from Athens at 10 pm on Friday after a 25-hour trip. The flight began at 12 noon on Thursday, Athens time. What is the time difference between Athens and Sydney?

Given:

Area of a circle, A=50.265 sq. units.

Radius of circle, r = 4 units.

To find:

The value of π to the nearest thousandth.

Solution:

Formula for area of a circle is

[tex]A=\pi r^2[/tex]

[tex]\dfrac{A}{r^2}=\pi [/tex]

[tex]Ar^{-2}=\pi [/tex]

Now, using [tex]Ar^{-2}[/tex] expression, we can find the value of π.

[tex]\pi=50.265904(4)^{-2}[/tex]

[tex]\pi=\dfrac{50.265904}{4^2}[/tex]

[tex]\pi=\dfrac{50.265904}{16}[/tex]

[tex]\pi=3.141619[/tex]

Approximate the value to the nearest thousandth (three digits after decimal).

[tex]\pi\approx 3.142[/tex]

Therefore, the approximated value of π is 3.142.

Answer:

$400

Step-by-step explanation:

To solve this, we need to understand how one reaches the final price. The general formula for final price (with tax) is:

t(c) = p x (1+t)

t(c) is total cost

p is price

t is tax rate as a decimal

To find p, we need to create a new formula. Since we have the total cost ($408) and the tax rate (2% or .02), we can divide the total cost by 1 + the tax rate to solve for the price:

t(c) / (1+t) = p

408 / (1+.02) = $400

I hope this helps!

-TheBusinessMan

Move the decimal point 2 spots to the right to go from 2.5 to 250%

Another example would be that 0.76 converts to 76%

Answer:

c

Step-by-step explanation:

Answer:

tanx

Step-by-step explanation:

tan=TOA

opp/adj

x=p/r

Answer:

(2/3)x = -11

x = -33/2

Step-by-step explanation:

2/3 of a number is -11.

Let the unknown number be x.

2/3 of x is -11.

(2/3)x = -11

Multiply both sides by 3/2.

(3/2)(2/3)x = (3/2)(-11/1)

x = -33/2

Answer:

D(1, -2)

E(3, -4)

Answer:

2/9 obvi

Step-by-step explanation:

Answer:

$2,500

Step-by-step explanation:

The amount the business pay in interest can be calculated using the sinple interest formula as shown:

Simple Interest = Principal × Rate × Time/100

Given Principal = $100,000 (Loan)

Rate = 10%

Time (in years) = 3months = 3/12 years

Substituting the parameters into the formula we will have;

SI = 100,000×10×3/12×100

SI = 1000×30/12

SI = 30,000/12

SI = $2,500

Therefore the business pays an interest of $2,500

Answer:

422,500

Step-by-step explanation:

Since ^2 is comman

(2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50) ^2

= 650^2

=422,500

Hope this is correct plzz mark brainliest

Answer:

To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.

Answer:

3^-5

Step-by-step explanation:

Whenever you multiply exponents, you add the values. Negative two plus negative three results in an answer of negative five. This will be the power. You will end up with 3^-5 as your answer.

Answer:

8

Step-by-step explanation:

total paid: $135.95

cost of gloves: $15.95

amount for classes: $135.95 - $15.95 = $120

cost of each class: $15

number of classes: $120/$15 = 8

Answer: 8 classes

Answer:

1508.6

Step-by-step explanation:

circumference=2πr

=2×22/7×240

=1508.57

=1508.6

Answer:

(f+g) (x)=x^2+4x-4

Step-by-step explanation:

add them together

f(x)+g(x)

14x+1+x^2-5

x^2+4x-4

(f+g)(x)+x^2+4x-4

Answer:

x=7

Step-by-step explanation:

subtracting 3 from both sides, you get x=7.

Answer:

3

Step-by-step explanation:

0.12 ÷ 0.04

if we want to calculate without calculator ,

multiply both nenominator and denominator by 100;

Then,

(0.12×100)÷(0.04 ×100)

= 12÷4

= 3

Answer:

Step-by-step explanation:A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

Steps to solve:

7x - 6 = 5x + 18

~Add 6 to both sides

7x = 5x + 24

~Subtract 5x to both sides

2x = 24

~Divide 2 to both sides

x = 12

Best of Luck!

Answer:

The model is made in a 1:40 ratio

Step-by-step explanation:

How many times is 4 multiplied to be equal to 160?

4(x) = 160

X = 160 / 4

X = 40

The proportion, rate, and ratio are almost the same.

They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.

If the ratio is 1: 2 it could be read that for every 1 there are 2.

For example 1: 2 cups; For every cup of something there are 2 cups of something else.

In this case, 1:40; For every inch of the model, there are 40 feet in the playground.

Answer:

(x+3)(x-3) = x²-9

(a+4)(a-4) = a²-16

(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16

(2x²+3y³)(2x²-3y³) = 4x^4-9y^6

(b-2)(b-2)(b-2) = b³-6b²+12b-8

Step-by-step explanation:

(x+3)(x-3) = x²-9

(a+4)(a-4) = a²-16

(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16

(2x²+3y³)(2x²-3y³) = 4x^4-9y^6

(b-2)(b-2)(b-2) = b³-6b²+12b-8

Hey there! I'm happy to help!

Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!

If we plug this into our calculators...

√138≈11.74734

We see that is closest to B. 12 ft.

You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.

Have a wonderful day! :D

Answer:

= 1/8 or 0.125

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

A negative x a negative makes a positive

Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

It's an equation that has two variables

that's to say it has x and y (generally)

it is linear when you graph it, it forms a line and that only happens when the mayor exponent is one

so

[tex](something_1)x^{1}+(something_2)y^{1} =(something_3)[/tex]

notice all the something are completely different

or you could find it as

[tex]y=mx+b[/tex]

where m is the slope

and b some number

so that's it

Answer:

x=385/8 decimal form is 48.125

Step-by-step explanation:

Answer:

It would be B

Step-by-step explanation:

Answer:

600,000

Step-by-step explanation:

I think that it will be 600,000 because the 3 is below 5 which you can not round anything that is below 5.This what I look at when i Round and it may or may not be helpful to other people:

5 or more raise the score

4 or less let it rest

That is what I learned.

Answer:

75 minutes

50 minutes

Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)

Step-by-step explanation:

Complete question below:

Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.

How many minutes will she need to finish labeling all books if If she takes no breaks and labels:

a. 10 books a minute

b. 15 books a minute

Suppose Clare labels the books at a constant speed of books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling

Solution

a. 10 books a minute

Number of minutes to finish labelling all books at 10 books per minute = Total books / books labelled per minute

= 750 / 10

= 75 minutes

Number of minutes to finish labelling all books at 10 books per minute = 75 minutes

b. 15 books a minute

Number of minutes to finish labelling all books at 15 books per minute = Total books / books labelled per minute

= 750 / 15

= 50 minutes

Number of minutes to finish labelling all books at 15 books per minute = 50 minutes

c. The relationship between her labeling speed and the number of minutes is Total number of books labeled ÷ Time taken to label them

Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)

Problem 1

---------------------

Explanation:

Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)

So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.

The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.

The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.

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

Problem 2

--------------------------------------

Explanation:

We'll follow the same idea as problem 1.

Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.

The term -k is the same as -1k, so the coefficient is -1

The variables this time are h,k as those are the two letters that show up.

The constants are 7 and -2 because no variables are attached to them.

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I'll let you do the rest. If you're still stuck, then please let me know