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Algebra

The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

227,579 Questions

What is the answer to punchline algebra book from what malady do politicians suffer?

The punchline to the question "What malady do politicians suffer?" from the "Punchline Algebra" book is typically "a lack of common sense." This humorous answer plays on the stereotype that politicians often make decisions that seem disconnected from practical or logical reasoning. The joke highlights the perception of politicians as being out of touch with the everyday concerns of the public.

How do you find the percentage difference between two images?

To find the percentage difference between two images, you first need to quantify the differences between them, typically by comparing pixel values. One common method is to calculate the mean squared error (MSE) or the root mean squared error (RMSE) between the corresponding pixels of the images. Once you have the error value, you can express the percentage difference by dividing this error by the maximum possible value (e.g., the maximum pixel value) and multiplying by 100. This will give you a percentage that represents how much the two images differ from one another.

The inverse of the cosine function?

Inverse of Cosine is 'ArcCos' or Cos^(-1)

The reciprocal of Cosine is !/ Cosine = Secant.

What is the cosine of 3.14?

3.14 suggest 3.141592.... = pi .

Hence

Cos (pi radians) = -1

What is pi squared?

Pi is the mathematical formula for the circumference of a circle. It is approximately equal to 3.14 but in reality pi is a number that has no end. Pi is NOT an imaginary number. (Imaginary numbers are the square roots of negative numbers. Whoever previously wrote this entry is an overconfident idiot who wouldn't even be able to pass Algebra II).

To square any number, you multiply that number by itself.

So, approximately:

Pi squared is 9.869604401

Pies are usually circular but there is no reason why they cannot be made in square-shaped (not sqair!).

What is the image of a point under a transformation?

The image of a point under a transformation is its new position after applying the transformation. For example, in a translation, the point shifts to a new location based on a given direction and distance. Similarly, in a reflection, rotation, or scaling, the image is determined by the transformation's rules.

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The is the square root of 8?

8^(1/2) = ( 2 x 2 x 2 )^(1/2) =

2^(1/2) X 2^(1/2) x 2^(1/2) =

2^(1) x 2^(1/2) =

2 X sqrt(2) = 2sqrt(2) in Surd form .

What is x cubed divided by square root of x?

x^(3) / x^(1/2) (NB The '1/2' means the 'square root'.

Hence

For division of powers, you subtract.

Hence

x^(3 - 1/2) =

x^(2 1/2) or = x^(5/2)

What is the derivative of y equals square root of x when x is positive?

y = x^(1/2) (NB power of '1/2' mean the 'square root'.

Hence

dy/dx = (1/2)x^(-1/2)

or

dy/dx = 1/ [2x^(1/2)]

How does the perimeter and area of a square change when its dimensions change?

By ratios

Lineaer

1:2 sides ::: 1: 2 perimeter.

Area

1:2 sides ::: 1^(2) : 2^(2) Area

or

1:2 :: 1:4

Volume

1:2 sides ;; 1:8 volume

Algebriacally,

Linear

a ; b ;; a: b

Area

a:b :: a^(2) : b^(2)

Volume

a:b :: a^(3):b^(3)

What is the perimeter of a regular octagon whose side measures 7 cm?

Being an octagon , it has EIGHT(8) sides.

NB 'Octa ' os the Latin root for eight(8).

Since the side length is 7 cm n and there is 8 sides. Then

7 x 8 - 56 cm .

When calculating sin inverse of 50 degrees the answer is in degree or in radians?

You do not calculate sin invrse of 50 degrees. You provide a number between -1 and 1 and calculate the sin inverse of that number. The answer you get is usually in radians in you use a calculator which you could convert to degrees if you wish.

For example, sin inverse of 1 is 90 degrees. It means sine of 90 degrees is 1.

This is how your question would look like. When calculating sin inverse, is the answer in degrees or radians? It is usually in radians but can easily be converted to degrees.

Multiply the radians by 180/PI, where PI=3.14159.

Example: sin inverse (0.4) = 0.4115 radians which is the same as:

(0.4115)(180)/3.14159=23.6 degrees.

This means sin of 23.6 degrees is 0.4.

What is trigonometric ratio?

It is the relationship between a given angle and two of the sides of a triangle.

There are three ratios , viz; Sine(Sin), Cosine(Cos) and Tangent(Tan).

Mathemtically written as

Sin(angle) = opposite/hypotenuse

Cos(angle) = adjacent / hypotenuse

Tan(angle) = opposite/ adjacent.

NB The angle referred to is NOT the right angle.

NNB The word 'Sine' is from Latin, and means curve. If you extend the Sine function beyond 360 degrees, , and plot it on a graph, you find it makes a wave-like curve. Cos mean 'Complementary Sine'.

NNNB All refers to an right-angled(90 degree) triangle.

What is 0.3 to the power of 3?

0.3^(3) = 0.3 x 0.3 x 0.3 = 0.09 x 0.3 = 0.027

Sum of angles of a quadrilateral?

alway sum of angle of qudrilateral is 360 The sum of the angles in a quadrilateral is 360o.

What does statistics mean in math?

Statistics is the study of collecting , organizing , and interpreting data!

How do you solve sin2x plus sinX equals 0?

Sin(2x) + Sin(x) = 0

2Sin(x)Cos(x) + Sin(x) = 0

Factor 'Sin*(x)'

Sin(x) (2Cos(x) + 1 = 0

Hence

Sin(x) = 0

x = 0 , 180(pi) , 360(2pi) et.seq.,

&

2Cos(x) = -1

Cos(x) = -1/2 = -0.5

x = 120, 150, 480, et.seq.,

What is sin of 3 pi over 2?

Sin(3pi/2) = Sin(2pi - pi/2)

Double angle Trig. Identity.

Hence

Sin(2pi)Cos(pi/2) - Cos(2pi) Sin(pi/2)

Sin(2pi) = 0

Cos(pi/2) = 0

Cos(2pi) = 1

Sin(pi/2) = 1

Substituting

0 x 0 - 1 x 1 =

0 - 1 = -1 The answer!!!!!