The population of australia is 2.15*10⁷ The area of Australia is 2.95*10⁶ square miles. What is the approximate average number of people per square mile in Australia?

Answer: E

Step-by-step explanation:

The monthly subscription fee on a cellphone contract option pays for​:

By paying the monthly subscription fee, the expenses involved in establishing a link between your mobile device and the mobile network are taken care of. This feature enables you to initiate phone calls, transmit written messages, and access internet connectivity.

Your carrier's monthly subscription fee will encompass a payment for the device if you are leasing or financing it through them.

Your monthly payment contributes to the expenditure of catering for customer assistance. If you encounter any issues with the service, you may contact this team for assistance.

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The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

7 workers are required, so we need 7-3 or 4 more workers.  

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

1. Replace X with its value (9)

3- 9/3 + 2•9

2. Using PEMDAS, divide 9 by 3

3 - 3 + 2•9

3. Multiply 2 and 9

3 - 3 + 18

4. Subtract 3 from 3

18

Your answer is 18

The measure of the missing side length x in the right triangle is 1.5.

The figure in the image is a right triangle having one of its interor angle at 90 degree.

From the diagram;

Let angle θ = 30 degree

Opposite angle θ = x

Hypotenuse = 3

To solve for the missing side length x, we use the trigonometric ratio.

Note that: sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the values:

sin( 30 ) = x / 3

x = sin( 30 ) × 3

x = 1.5

Therefore, the value of x is 1.5.

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Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

If Raj was getting a 5% commission, he would make 24000 * 5% = $<<240005.01=1200>>1200 on $24,000 of sales.

If he is now getting a 6.5% commission, he will make 24000 * 6.5% = $<<240006.5.01=1560>>1560 on $24,000 of sales.

Thus, Raj will make 1560 - 1200 = $<<1560-1200=360>>360 more on $24,000 of sales with his new commission rate of 6.5% than he did with his old commission rate of 5%.

The solid - I'll call it R - is best described in spherical coordinates:

\(R = \left\{(\rho,\theta,\varphi) \mid \sqrt{a}\le\rho\le\sqrt{b}, 0\le\theta\le2\pi, 0\le\varphi\le\dfrac\pi4\right\}\)

Then the volume of R is

\(\displaystyle\iiint_R\mathrm dV = \int_0^{\frac\pi4}\int_0^{2\pi}\int_{\sqrt a}^{\sqrt b}\rho^2\sin(\varphi)\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi \\\\\\ \displaystyle = \boxed{\frac{2\pi}3\left(b^{\frac32}-a^{\frac32}\right)\left(1-\dfrac1{\sqrt2}\right)}\)

Based on the amount deposited by Nancy into the account and the interest it paid, the ending balance after 1 year is $1,220.40

The ending balance of the amount that Nancy deposited which was $1,200 is based on the interest compounded on the amount over the investment year.

The ending balance can be found as:
= Amount deposited x ( 1 + rate) ^ number of years

Solving for the ending balance gives:
= 1,200 x (1 + 1.7%) ^ 1

= 1,200 x 1.017

= $1,220.40

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Answer:

55.5

Step-by-step explanation:

\(DE=\sqrt{(-9-9)^2+(8-5)^2}=\sqrt{333} \\ \\ DF=\sqrt{(-9-(-5))^2+(-9-8)^2}=\sqrt{305} \\ \\ EF=\sqrt{(-5-9)^2+(-9-5)^2}=\sqrt{392}\)

The perimeter is thus \(\sqrt{333}+\sqrt{305}+\sqrt{392} \approx 55.5\).

\(1.0\bar {92}\) represents the number 1.0929292929..., where the digits 92 repeat infinitely.

Any numbers may be expressed by using a small number of distinct digits, which is known as notation. Positional notation, also known as place-value notation, is the notation that is now used to represent numbers, as opposed to certain ancient notations like Roman numerals.

To write 1.0929292... using bar notation, we identify the repeating portion of the decimal, which is the sequence of digits 92.

We can then write the number using a bar over the repeating digits as follows:

\(1.0\bar {92}\)

The bar over the digits indicates that they repeat infinitely.

Therefore, \(1.0\bar {92}\) represents the number 1.0929292929..., where the digits 92 repeat infinitely.

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Answer:

52 or 28

Step-by-step explanation:

An isosceles has 2 congruent angles.

There are 2 possibilities:

A) There are two 76-deg angles and one angle of a different measure.

76 + 76 + x = 180

x = 28

B) There are two congruent angles, and 76 is the non-congruent angle.

x + x + 76 = 180

2x = 104

x = 52

Answer: 52 or 28

The amount of money​ you'll have at the end of 10 years is $3900.

Given that, P=$3000, R=3% and T=10 years.

The formula to find the simple interest is \(Interest=\frac{P \times T \times R}{100}\).

Now, simple interest \(=\frac{3000 \times 10 \times 3}{100}=\$900\).

Amount=Simple Interest+Principal

=900+3000=$3900

Therefore, the amount of money​ you'll have at the end of 10 years is $3900.

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Answer:

A Binomial Distribution describes the probability of an event that only has 2 possible outcomes. For Example, Heads or tails. It can also be used to describe the probability of a series of independent events that only have 2 possible outcomes occurring.

Hope This Helped :D

Answer:

The following are the conditions:

• Each trial must be independent;

  i.e., the outcome of one trial cannot affect the outcome of another.

• Probability of success must be constant;

  i.e., the probability of success of each trial must be the same.

• Number of trials (n) must be finite.

• Trials must have only two possible outcomes (i.e., success and failure)

Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

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Answer

(x+4)^2x3

Step-by-step explanation:

so x add 4 is obviously x add 4 but since you want to square it you have to put x add 4 in brackets like this

(x+4)

you put the square symbol next to the brackets because you only want to square whats inside the brackets

(x+4)^2

and then you put times 3 so you can multiply everything by it so now its

(x+4)^2x3

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The  scale factor of the dilation is 30:1.

We have,

A superhero action figure has a volume of 1500 cm³.

The volume of the dilated figure is 45,000 cm³

Now, the scale factor should be

= 45000/ 1500

= 30 /1

Thus, the scale factor of the dilation is 30:1.

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Answer:

An overdraft fee is a fee banks charge for withdrawing more money from an account than the current balance of that account. Banks charge overdraft fees to discourage overdrawing accounts and to make money from fees.

Step-by-step explanation:

Answer: Overdraft fee is when you withdraw more money from an account than the current balance of that account.

Step-by-step explanation:

Fees are charged to discourage overdrawing accounts and to make money from fees.

STEP BY STEP

200+[-55]+[-77]+ [-68]

200+[-55-77-68]

200+[-200]

200 -200

0

PLEASE PLEASE MAKE ME THE BRAINLIST

Answer:

0

Step-by-step explanation:

We know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( + ) × ( - ) =  ( - )

By keeping the above in mind let us solve this.

200 + ( -55 ) + ( -77) + ( - 68 )

200 - 55 - 77 - 68

145 - 77 - 68

68 - 68

0

The fraction which is closest to 1/2 is, 3/8. So option B is correct

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number 1/2

In decimal form = 0.5

Closest fraction number = ?

Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,

Lets take, A fraction 1/6

In decimal form it can written as,  0.167

Difference 1 =  0.5 - 0.167

                  =   0.333

Similarly, For numbers 3/8, 3/4, -1/2

Difference 2 =  0.5 - 0.375  = 0.125

Difference 3 =  0.5 - 0.75  = -0.25

Difference 4 =  0.5 - (-0.5)  =  1.0

It can be seen that,

Magnitude of difference in case of 3/8 is very less

Hence, the closest number is 3/8

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Answer:

12 x 12 = 144, 12 x 13 = 156

Step-by-step explanation:

Answer:

44.73 Miles

Step-by-step explanation:

We know the cat tuns 29.82 miles per hour

But, they ask us how much can she run in 1.5 hours.

So, we need to just multiply.

29.82 × 1.5 = 44.73

:)

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

The Euler path of the given graph is CDBFADF.

A path in a finite graph known as an Euler path is one that traverses each edge precisely once while yet allowing for the revisiting of vertices.

A similar Euler trace that begins and finishes at the same vertex is known as an Euler circuit or cycle. When Leonhard Euler found a solution to the Seven Bridges of Konigsberg puzzle in 1736, it was first brought up for discussion.

A path known as an Euler path is one that utilises every edge in the graph once and only once. It doesn't have to return to the starting point because it is a path.

A circuit that utilises every edge in the diagram once is known as an Euler circuit. As it is a circle, it should start and terminate at the same vertex

The euler path of the given graph is CDBFADF.

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The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answers are

1.

∠ABC and ∠EBD are vertical angles.

∠ABE and ∠CBD are vertical angles.

∠ABE and ∠DBE are adjacent angles.

∠ABC and CBD are adjacent angles.

2.

∠LMN and <RMQ are vertical angles.

∠SML and ∠QMP are vertical angles.

∠LMN and ∠PMN are adjacent angles.

∠NMP and ∠PMQ are adjacent angles.

Adjacent and vertical angles:

Adjacent angles: Two angles with a common arm and vertex are called adjacent angles.

They share  a common arm and common vertex.

Adjacent angles are not always equal in measure

Vertical angles: When two lines intersect each other, then the pair of opposite angles formed at the vertex are called vertical angles.

They share a common vertex, but no common arm.

Vertically opposite angles are equal in measure.

(Here)

For question - 1,

∠ABC and ∠EBD are vertical angles.

∠ABE and ∠CBD are vertical angles.

∠ABE and ∠DBE are adjacent angles.

∠ABC and CBD are adjacent angles.

For question - 2,

∠LMN and <RMQ are vertical angles.

∠SML and ∠QMP are vertical angles.

∠LMN and ∠PMN are adjacent angles.

∠NMP and ∠PMQ are adjacent angles.

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