(6 + 7) + 8 = 21

Choose an equivalent addition sentence that shows the associative property of addition.

It should be reported as a restricted cash in the long-term section of the company balance sheet.

Note payable  can be defined a the money a company or an organization owes or the money they are expected to payback..

Note payable is classified as long term liabilities. Hence, the cash amount of $100,000 should be reported or recorded in the balance sheet as a restricted cash.

Therefore  the $100,000 is reported as a restricted cash.

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Based on the calculations, the length of side AB is equal to 13.93 units.

Since the points of tangency are at A and B, we would determine the side length of the point lying between side A and D as follows:

AM = AD - BC

AM = 7 - 2

AM = 5 units.

Now, we can determine the length of side AB by applying Pythagorean's Theorem:

AB² = BM² + AM²

AB² = 13² + 5²

AB² = 169 + 25

AB = √194

AB = 13.93 units.

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Answer:

Step-by-step explanation:

If AC is a supplementary line, then

x + 90° + x = 180°

solution:

2x + 90° = 180°   |subtract 90° from both sides

2x = 90°    |divide both sides by 2

x = 45°

Answer:

[tex] \sf \: b) \: {45}^{o} [/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ x + x + 90° = 180°

Then the value of x will be,

→ x + x + 90° = 180°

→ 2x = 180° - 90°

→ 2x = 90°

→ x = 90° ÷ 2

→ [ x = 45° ]

Hence, the value of x is 45°.

Answer: y+6 = 1/3(x-4

The equation of line perpendicular to the given line and passes through the point P ( 4 , -6 ) is y + 6 = ( 1/3 ) ( x - 4 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y + 1 = -3 ( x - 5 )

So , the slope of the line is m = -3

Now , the lines are perpendicular , so the slope of the line m₂ is

m₂ = 1/3

Let the first point be P ( 4 , -6 )

And , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - ( -6 ) = ( 1/3 ) ( x - 4 )

y + 6 = ( 1/3 ) ( x - 4 )

Hence , the equation of line is y + 6 = ( 1/3 ) ( x - 4 )

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Answer: 50m

Step-by-step explanation:

        The perimeter of the shape can be found by adding together all the lengths of the sides. See attached for my work.

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{The missing number inside of the irregular figure is: \boxed{\bf9}}\\\large\textbf{because we had to do, 14 - 4, which gives you \underline{10}, then}\\\large\textbf{subtract 10 from another \underline{1}, \& that gives you you 9.}\\\large\textbf{The other missing number at the bottom: \boxed{\bf 7} because it measures}\\\large\textbf{the SAME length as the top number\large\textbf{Lastly, the last missing}}\\\large\textbf{number is \boxed{\bf4}.}[/tex]

[tex]\large\textbf{Now, let's solve for your perimeter of this irregular figure, }\\\large\textbf{shall we?}[/tex]

[tex]\large\textbf{14m + 9m + 7m + 7m + 4m +4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 23m + 7m + 7m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 30m + 7m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 37m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 41m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 45m + 4m + 1m}[/tex]

[tex]\large\textbf{= 49m + 1m}[/tex]

[tex]\large\textbf{= 50m}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{50m}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Step-by-step explanation:

5 because you have to round

Answer:

5

Step-by-step explanation:

because you have to round

Source: trust me bro

Answer:

B is correct.

Answer:

21500

Step-by-step explanation:

21500 people would have to see the movie to recuperate their losses.

The number of people would have to see the movie is given by the equation A = 2600 people

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of people to see the movie in first four weeks be A

Now , the equation will be

The cost of movie license per week = ₹ 1500

The cost of movie license per month = 4 x ₹ 1500

The cost of movie license per month = ₹ 6000

And ,

The cost of keeping the stuff and hall for a month = ₹ 20,000

So ,

The cost of movie license and the hall for a month = 20,000 + 6000

The cost of movie license and the hall for a month = ₹26,000

The cost of charge of each seat = ₹ 10

So , the number of people to see the movie in the first four weeks in order for them to recoup the costs A = cost of movie license and the hall for a month / cost of charge of each seat

Substituting the values in the equation , we get

Number of people to see the movie in first four weeks A = 26000/10

Number of people to see the movie in first four weeks A = 2600 people

Hence , the number of people is 2600 people

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The final expression will be given as  [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given expression:-

E = [tex][\dfrac{3^3}{3^4}]^5[/tex]

The ratio will be solved by elimination three times 3 with the denominator having four times three.

E = [tex][\dfrac{1}{3}]^5[/tex]

We will calculate the three to the power five now which is 243.

E = [tex]\dfrac{1}{243}[/tex]

Therefore the final expression will be given as  [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.

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Answer:

[tex]\mathsf {y =\frac{15}{7}x }[/tex] < [tex]\mathsf {y=\frac{13}{6}x }[/tex] < [tex]\mathsf {y=\frac{11}{5}x }[/tex] < [tex]\mathsf {y=\frac{21}{9}x }[/tex] < [tex]\mathsf {y= \frac{19}{8}x}[/tex]

Step-by-step explanation:

Finding the unit rate of the graph :

Now, the equations with greater unit rates (in increasing order) are :

Answer:

i think the answer would be 53?

Step-by-step explanation:

i could be wrong

Step-by-step explanation:

the answer is d= -46/-7

or in simplest form

d= 6.57

hope this is correct...

Answer:

f

Step-by-step explanation

Mitch and Terry were 0.5 km away from the scenic cliff

Sea level is the base for calculating the depth and the elevation of Earth

It is given that

Total Height of the scenic Cliff = 6.6km

After 1 hour the brothers are at = 6.6 - 1.3 km = 5.3 km from the sea level.

They climb back 0.8 km in the next hour so they will be

5.3 +.8 = 6.1 km from the sea level

6.6 - 6.1 = 0.5 km

Therefore the brothers are 0.5 km away from the scenic cliff

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Answer:

I think it's C. transitive property of equality

The range of the function given the domain x > -2 is; Range; y < -8.

The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.

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Answer: [tex]133^{\circ}[/tex]

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

[tex]4x+5+x+15=180\\\\5x+20=180\\\\5x=160\\\\x=32[/tex]

This means that [tex]m\angle A=4(32)+5=\boxed{133^{\circ}}[/tex]

The expression obtained is 2g³-5g² +6 , Option C is the correct answer.

An expression is a mathematical statement that consists of constant , variable and mathematical operators.

The expression given is

[tex]\rm \dfrac{(5g^4 +5g^3 -17g^2 +6g) -(3g^4 +6g^3-7g^2 -12)}{g+2}[/tex]

On subtracting the numerator

2g⁴-g³-10g²+6g+12

Now dividing the numerator by denominator

The expression obtained is 2g³-5g² +6

Therefore Option C is the correct answer.

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Answer:

[-3, 5)

Step-by-step explanation:

At x = -3, the circle is filled in, so -3 is part of the domain. At x = 5, the circle is not filled in, so 5 is not part of the domain. So the domain is [-3, 5).

To design a simulation for this situation, one can generate a set of four numbers by using the number generator with numbers 0 to 5 representing those who prefer watching a movie at a theatre and 6 to 9 representing those who do not.

From the information given about the probability, the goal here is to design a simulation for this situation.

In this case, to design a simulation for this situation, one can generate a set of four numbers by using the number generator.

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Answer:

a)(0,k)

b)(0,-k)

Step-by-step explanation:

Given:

[tex] \begin{cases} y = a {x}^{2} + k \\ y = a {x}^{2} - k \end{cases}[/tex]

Taking the derivative of y's yields

[tex] \begin{cases} y '= \dfrac{d}{dx} a {x}^{2} + k \\ \\ y '= \dfrac{d}{dx} a {x}^{2} - k \end{cases} \\ \implies\begin{cases} y '= 2a x\\ \\ y '=2ax\end{cases} [/tex]

Now set y' to 0 and solve for x:

[tex] \implies\begin{cases} 2a x = 0\\ \\ 2ax = 0\end{cases} \\ \implies\begin{cases} x= 0\\ \\ x= 0\end{cases} [/tex]

plug in the value of x into the original equation thus

[tex] \begin{cases} y = a ({0}^{2}) + k \\ y = a ({0}^{2} )- k \end{cases}\\ \implies \begin{cases} y = k \\ y= - k \end{cases} [/tex]

Hence,

Answer:

function

Step-by-step explanation:

[tex] - 7mn(4 {m}^{3} {n}^{2} + {m}^{2} ) \\ - 28 {m}^{4} {n}^{3} - 7 {m}^{3} n[/tex]

PLEASE GIVE BRAINLIEST

Answer:

(2,-3)

Step-by-step explanation:

Thats where the parabola is the lowest at

Answer:

A or 0.31 per bar

Step-by-step explanation:

To solve this problem we want to find the price of the singular bar and find the cheapest one. So we will divide the amount of bars by the total price, so option A will equal 0.31, option B will equal 0.34, option C will equal 0.33, and option D will equal 0.32. The cheapest per bar price would be a or 3 pack of granola bars for 0.93 cents.

Answer:

(a) = 13

(b) = 8

(c) = 5

Step-by-step explanation:

Addition theorems on sets are

Theorem 1 :

n(AuB) = n(A) + n(B) - n(AnB)

Theorem 2 :

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Total number of students in the school is not given

so let there are 60 students in the school

using theorem 2

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

   60             =    40 + 42 + 38 - 20 - 28 - 25 + n(AnBnC)

60 +73 -120 = n(AnBnC)

         13         = n(AnBnC)

therefore, there are total 13 students who take all three subjects

Number of students who had taken only Mathematics  =
n(A) - n(AnB) - n(AnC) + n(AnBnC)

40 - 20 - 25 + 13

53 - 45 = 8 students

Number of students who had taken only Physics  =

n(B) - n(BnA) - n(BnC) + n(AnBnC)

42 - 20 - 28 + 13

53 - 48 = 5 students

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The correct option is the mean for set 2 is equal to the mean for set 1. (option A).

Mean is a measure of central tendency that is used to determine the average of a set of numbers.  

Mean = sum of the numbers / total number

Mean of set 1 = (29 + 31 + 27 + 33 + 30) / 5

= 150 / 5 = 30

Mean of set 1 = (33 + 31 + 26 + 31 + 29) / 5

= 150 / 5 = 30

Median is the measure of center of a dataset. It determines the value that is at the center of a dataset that is arranged in either ascending or descending order.

Set 1 arranged in ascending order : 27, 29, 30, 31, 33

Median of set 1 = 30

Set 2 arranged in ascending order : 26, 29, 31, 31, 33

Median of set 2 = 31

Differnce in the median = 31 - 30 = 1

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Answer:

[tex]IK = IJ\sqrt{2}[/tex]

Step-by-step explanation:

First, it's an isosceles right triangle, which means there is a 90 degree angle and the two other angles are equal.

To find what the two other angles are, you can set up a quick equation:

let x be angle

90 + 2x = 180, since the sum of the interior angles in a triangle is always 180.

then,

[tex]2x = 90\\x = 45[/tex]

Therefore, the triangle is a 45-45-90 triangle.

You have the measure of IJ, which is one of the legs of the triangle. The way you can find the length of the hypotenuse of a 45-45-90 triangle is by multiplying the length of one of the legs by [tex]\sqrt{2}[/tex].

This means the equation is [tex]IK = IJ\sqrt{2}[/tex]

Answer:

[tex]\sf IK=IJ\sqrt{2}[/tex]

Step-by-step explanation:

The interior angles of a triangle sum to 180°.  Therefore, if ΔIJK is an isosceles right triangle where m∠J = 90°:

To calculate the base angles:

⇒ m∠K + m∠I + m∠J = 180°

⇒ m∠K + m∠I + 90° = 180°

⇒ m∠K + m∠I = 90°

⇒ m∠K = m∠I = 45°

Therefore, IJ and JK are the legs of the right triangle and IK is the hypotenuse.

To find the length of the hypotenuse, use Pythagoras' Theorem.

Pythagoras’ Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for IK:

[tex]\sf \implies IJ^2+JK^2=IK^2[/tex]

[tex]\sf \implies 4^2+4^2=IK^2[/tex]

[tex]\sf \implies IK^2=32[/tex]

[tex]\implies \sf IK=\sqrt{32}[/tex]

[tex]\implies \sf IK=\sqrt{16 \cdot 2}[/tex]

[tex]\implies \sf IK=\sqrt{16}\sqrt{2}[/tex]

[tex]\implies \sf IK=4\sqrt{2}[/tex]

As IJ = 4 then:

[tex]\implies \sf IK=IJ\sqrt{2}[/tex]