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Math and Arithmetic

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Domingo Boyle

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Cards in this guide (22)
The volume of a cube depends on what

The volume of a cube depends on the length of its side.

What is the area of a cirle with a radius of 5 in

The area of a circle of radius r is pi*r*r

What are the canonical and standard forms

CANONICAL FORM: In canonical form each term (minterm or maxterm) must and should contains all literals corresponding to each variable of the function. It is obtained from truth table.

Ex: F(x,y,z) = xy|z + xyz + x|y|z|

Ex: F(x,y) = (x+y)(x|+y)

STANDARD FORM: In standard form each term doesn't contains literals corresponding to each variable of the function. that is it may contains one or two or any number of literals in each term.

Ex: F(x,y,z) = x + yz + x|y|

Ex: F(x,y) = (x+y)x|

A yard is equal in length to three feet The function Fy takes a measurement in yards as input and returns a measurement in feet as output What input will return a value of 27

9

What best describes the domain of a function

The range of a function is the set of all possible input values.

What number will the function return if the input is 12.2

36.6

What makes a function

A function has an input and an ouput. Each input can only have one output.

Examples of functions:

x = y

y = x2

y = cos(x)

where y is the output and x is the input.

How do you solve -12x equals 6y

its just a line, there are many answers that would work

-12x-6y=0

-12x=6y

x=-y/2

y=-2x

What is the radius of a circle if the area is 7850

The equation for the area A of a circle is A = pi*r2, where r is the radius of the circle. If you plug in 7850 for the area, you get pi*r2 = 7850. Assuming pi = 3.14, the equation then simplifies to r2 = 7850/3.14 = 2500. Taking the square root of both sides gives you the radius r as 50.

What do the asymptotes represent when you graph the tangent function

When you graph a tangent function, the asymptotes represent x values 90 and 270.

What is the answer for rt

r=rate , t=time, d=distance

you use these in the formula rt=d for word problems

Why do elements in the top right corner have high ionization energies

The elements in this part of the periodic table want to gain electrons to get to a noble gas configuration - not lose them. To lose electrons is very energetically unfavorable (high ionization energies).

How do you solve 8 xx 8

how do you solve 8+x=x+8

Which term describes the set of all possible input values for a function

domain

What does h(40) 1820 mean in terms of the problem

Y

Choose the most appropriate name for the function described below. The output from a machine depends on the input to the machine.

postage (weight), or p(w) --- (APEX)

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) 27

3 sides of the cube have a total length of 27 feet

What term describes the set of all possible output values

It is called the range of the function.

What The cost of a pumpkin depends on its weight. shows this idea expressed in function notation

Cost = f(Weight)

At a TV repair shop the amount charged for labor depends on the time the repair technician works. shows this idea expressed in function notation


Amount(hours worked)

What does h mean in terms of the problem

Hours of training

how do i solve 4x-9=k for x

4x-9=k

4x=k+9

Divide by 4 to isolate the x

x=(1/4)k+(9/4)

x=1/4 k+ 9/4

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