On a plan with a scale of 1:50 a wardrobe shows up as 3cm long.
How long is the wardrobe in real life?

Answer:

c = -9/2

Step-by-step explanation:

Answer:

$672

Step-by-step explanation:

4 x 6 = 24 square yards

24 x 28 = $672

Answer:

Step-by-step explanation:

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

x² - 6x + 8 = 0

or, x² - (4+2)x + 8 = 0

or, x² - 4x - 2x + 8 = 0

or, x(x-4) -2(x -4)= 0

or , (x-4) (x-2) = 0

either,

x - 2 = 0

x = 2

OR,

x - 4 = 0

x = 4

next ,

x-p = 9

or, 2-p = 9

p= -7

either,

x-p = 9

or, 4 - p = 9

or, p= -5

hope this will help you

Answer:

y > Two-thirds x + 1     /c

Answer:number one=0.4667  and two is 0.44444444444

Step-by-step explanation:

The decimal form of the fractions is written below,

7 / 15 = 0.46

8 / 18 = 0.45

-8/12 = -0.67

-6 / 7 = 0.85

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated.

The given fractions in the form of decimal numbers can be written below,

Divide the number 7 by 15,

7 / 15 = 0.46

Divide the number 8 by 18,

8 / 18 = 0.45

Divide the number -8 by 12,

-8/12 = -0.67

Divide the number -6 by 7,

-6 / 7 = 0.85

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Answer:

2n+2

_____

9 2n

Kindly check below

1) For this problem, let's start out with the Ellipse

So, the key features of an Ellipse are:

a,a = (2) Semi-major axis ( the sum of the semi-major axis yields the longer axis of an ellipse), a=6

b,b =(2) Semi-minor axis (the sum of the semi-minor axis yields the shorter axis of an ellipse), b=4

F1, F2 (Foci)=(2√5,0), (-2√5,0)

A1,A2 =(6,0), (-6,0) Vertices (the endpoints of the semi-major axis)

B1, B2 =(4,0), (-4,0) Co-vertices (the endpoints of the semi-minor axis)

Domain: [-6,6] The set of entries of a function, usually represented by x

Range: [-4,4] The set of outputs of a function, usually represented by y

The general formula for an ellipse

2) Now, let's move on to the next conic section. The Hyperbola

In this sketch, we've got the following features:

A_1, A_2: The vertices of a hyperbola are at (5,-1) and (-3,1)

F_1, F_2: Foci of a hyperbola

In red: The asymptotes, (in this case slant ones. They set the boundaries where the hyperbola does not trespass.

Note that these asymptotes have a slope, so we need to express them as linear equations

P: Generic point on the curve.

Domain: Set of entries of a hyperbola. We can tell that this hyperbola has the following Domain:

A hyperbola can be given with a general formula as well:

The y-intercept of the function is (0, 3), which means that the initial value of the comic book is $3.

For the first problem:

Initial Amount = $1232

Growth/Decay Rate = -6.2% = -0.062 (since the value is decreasing)

Let t be the number of years since 2007, then the equation for the value of the couch in year t can be written as:

Value = 1232(1 - 0.062)^t

To find the worth of the couch in 2012 (which is 5 years after 2007), we can substitute t = 5 into the equation:

Value = 1232(1 - 0.062)^5

Value = 1232(0.938)^5

Value ≈ $888.79

Therefore, the worth in 2012 was approximately $888.79.

The information required for the third problem is given below:

Initial Value = $3

Growth Rate = 6% = 0.06 (since the value is increasing)

Let t be the number of years after the comic book is sold, then the equation for the value of the comic book in year t can be written as:

Value = 3(1 + 0.06)^t

To find the value of the comic book in 25 years, we can substitute t = 25 into the equation:

Value = 3(1 + 0.06)^25

Value ≈ $14.58

The domain of the function is all positive real numbers, since the value of the comic book can be calculated for any positive number of years after it is sold. The range of the function is all positive numbers, since the value of the comic book can never be negative.

The y-intercept of the function is (0, 3), which means that the initial value of the comic book is $3.

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Answer:

f-g= 3x²+1-(1-x)

3x²+1-1+x

3x²+x=0

x(3x+1)=O

x=0, 3x+1=0

So, x=0 or -1/3

The solution of the system of equation by graphing is (1,2)

According to the question we have been given two equation which are :

       x + y = 3       and  y = 3x - 1

We need solve this system of equation by graphing that is we have to find the value of x and y from the graph.

For the solution of the system of equation from graph we need to find the intersecting point.

First we will plot the graph of both the equation

For , x+y = 3

      the coordinates are (0,3) and (1,2)

For, y = 3x-1

      the coordinates are (0,-1) and (1,2)

Hence the below image is the graph of both the equation

From the graph we will see the point where both the lines are intersecting.

Thus the point where they intersect is (1,2).

Hence the solution is (1,2)

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The compound interest rate of the given information for which the annual rate of the bank account is = 3.9%.

What about compound interest?

Compound interest refers to the interest that is earned not only on the principal amount of a loan or investment but also on any interest that has been previously earned. In other words, it is the interest calculated on the initial principal and on the accumulated interest of previous periods. This compounding effect can result in significant growth over time, as the interest earned in each period is added to the principal, and the interest earned in subsequent periods is calculated on the new, larger principal amount. Compound interest is often used in long-term savings and investment accounts, such as retirement funds or fixed deposits, as it can result in a higher return than simple interest over time.

According to the given information:

In this case we know that;

⇒ A = \(P(1 + r)^n\)

⇒ A = amount

⇒ P = principal

⇒ r = rate

⇒ n = number of years

⇒ 710.89  = 658.20\((1 + r)^2\)

⇒ 710.89/658.20 = \((1 + r)^2\)

⇒ 1.08 = \((1 + r)^2\)

⇒ ln(1.08) =ln \((1 + r)^2\)

⇒ 0.077 = 2ln\((1 + r)\)

⇒ 0.077/2 = ln(1 + r)

⇒ ln\((1 + r)\) = 0.0385

⇒ 1 + r = 1.039

⇒ r = 1.039 - 1

⇒ r = 0.039

⇒ r = 3.9%

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Answer:

approximately 28.26 square feet

Step-by-step explanation:

The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.

The area is:

28.27 square feet

Work/explanation:

Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).

We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.

Now, here's a diagram for you;

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)

Plug in the data:

\(\sf{A=\pi\times3^2}\)

\(\sf{A=\pi\times9}\)

\(\sf{A=28.27\:ft^2}\)

Answer:

3+p=12

Step-by-step explanation:

Answer:

3 + p = 12

Step-by-step explanation:

3 + p = 12. Its really easy. Hope this helps :)

The equidistant point of  the triangle is point O , which is shown below.

In the question ,

we have to find the equidistant point in the triangle ,

We know that the equidistant point from the vertices of the triangle is the circumcenter ,

let the circumcenter be point O .

The perpendicular bisectors of the given triangle ABC are AC and BC that intersect at point O .

We have to prove that point O lies on the perpendicular bisector of AB and it is equidistant from A , B and C .

So ,we draw OA ,OB and OC .

we know that any point on perpendicular bisector of a segment is equidistant from endpoints of the segment.

that means , OA = OC and OC = OB .

which means OA = OB .

we also know that any point that is equidistant from end points of a segment lies on its perpendicular bisector.

So, we can say that point O is on the perpendicular bisector of AB .

and

Since OA = OB = OC , the point O is equidistant from A , B and C .

Therefore , the equidistant point of the triangle is the circumcenter (point O) .

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1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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The expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006?

The number of the employees in 2006 will be calculated as:-

Number of employees decreased   = 0.5% x 8110

Number of employees decreased   = (0.5/100) x 8110

Number of employees decreased   = 40.55

The number of the employees in 2006 will be

N = 8110 - 40.55 = 8069.45

Therefore the expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

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The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10

From the question, we have the following parameters that can be used in our computation:

The difference of -10 and the product of p and q

The numbers are given as

p and q

The product of p and q means pq

So, we have the following

The difference of -10 and pq

The difference of -10 and pq means

pq + 10

Hence, the expression is pq + 10

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Answer:

A - 19

Step-by-step explanation:

correctly

Answer: You add 9 each time

Step-by-step explanation:

19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55

hope this helps mark me brainliest if it did

Answer:

27.6​ is 40%​ of 69.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz), where x,y,z are the dimensions, in this case

A=2(8(8)+8(10)+8(10))

A=2(64+80+80)

A=2(224)

A=448in^2

So the minimum amount of wrapping paper is 448in^2

Answer:

(g - h)(3) = -11.

Step-by-step explanation:

To find the expressions for (g • h) (x) and (g + h) (x), we need to use the definitions of function composition and function addition:

(g • h) (x) = g(h(x))

This means we first evaluate h(x), and then use the result as the input for g.

(g + h) (x) = g(x) + h(x)

This means we evaluate g(x) and h(x) separately, and then add their results together.

Using the definitions of g(x) and h(x) given in the problem, we can find:

(g • h) (x) = g(h(x)) = g(3x + 5) = (3x + 5) - 1 = 3x + 4

(g + h) (x) = g(x) + h(x) = (x - 1) + (3x + 5) = 4x + 4

To evaluate (g - h)(3), we need to use the definition of function subtraction:

(g - h)(x) = g(x) - h(x)

This means we evaluate g(x) and h(x) separately, and then subtract their results.

Using the definitions of g(x) and h(x) given in the problem, we can find:

(g - h)(3) = g(3) - h(3) = (3 - 1) - (3(3) + 5) = -11

Therefore, (g - h)(3) = -11.

Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

The current amount of the sale is 96

The sale is 120

It was decreased by 20%

20/100 × 120

= 0.2 × 120

= 24

The amount of the current sale is

120-24

= 96

Hence the amount of the current sale which is calculated by subtracting 24 from 120 is 96

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Answer:

Must understand distance and slope formula first:

slope y_2-y_1/x_2-x_1

distance d=√((x_2-x_1)²+(y_2-y_1)²)

(Just search up the formulas if this isn't clear)

Step-by-step explanation:

For #13 take two points and put them in the distance formula remember (#,#) the first # is 'x' the second # is the 'y' in a point.

then you could simply type all that in a calculator and a single number should pop up indicating one of the lines (doesn't matter the #) then do the same for the second points (cuz you used two already you have two left) If the number is same as the first two points it's a pallelagram. (I tested it out got 7.07...)

For the slope you're doing something similar to the distance formula, you're filling out two sets of points into the slope formula if they come out the same # it's parallel.

Answer:

no solution

Step-by-step explanation:

If you end up with a false equality, then the initial statement is false, meaning that there are no solutions.

Answer: The United States rule is a method for calculating interest and balances on loans that have partial payments during their term. The rule assumes that each partial payment is applied to the interest first, then to the principal. Here's how to use the United States rule to calculate the balance and interest for this loan:

Calculate the daily interest rate by dividing the annual interest rate by 360 (the number of days in a standard year for most loans).

Daily Interest Rate = 15.0% / 360 = 0.04167%

Calculate the interest due for the first partial payment of $5800 made on day 112. Since this payment is larger than the remaining principal, it will pay off the loan entirely and no interest will accrue beyond this date.

Calculate the interest due for the second partial payment of $4350 made on day 196.

Calculate the interest due on the remaining principal at maturity (day 280).

Add up the interest due from each period to get the total interest paid over the life of the loan.

Add up the principal amounts from each payment to get the total amount paid.

Subtract the total amount paid from the original principal to get the balance at maturity.

Balance at maturity = $1450.00 - $10,150.00 = -$8700.00 (which means the lender owes the borrower this amount)

Therefore, the balance at maturity is -$8700.00 (meaning the lender owes the borrower this amount) and the total interest paid over the life of the loan is $8.10.