Answer:
10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
2x³y³ + 3xy - 3x³y³ + x²y - xy + 2x²y
x = -1
y = 2
<u>Step 2: Evaluate</u>
- Substitute: 2(-1)³(2)³ + 3(-1)(2) - 3(-1)³(2)³ + (-1)²(2) - (-1)(2) + 2(-1)²(2)
- Exponents: 2(-1)(8) + 3(-1)(2) - 3(-1)(8) + 1(2) - (-1)(2) + 2(1)(2)
- Multiply: -16 - 6 + 24 + 2 - (-2) + 4
- Simplify: -16 - 6 + 24 + 2 + 2 + 4
- Subtract: -22 + 24 + 2 + 2 + 4
- Add: 2 + 2 + 2 + 4
- Add: 4 + 2 + 4
- Add: 6 + 4
- Add: 10
The simplest way would be to use a calculator to evaluate B = arcsin(0.7245)
<span>If you don't have a calculator, the next, more complex way would be to interpolate a table of sines and find the value of the angle whose sine is 0.7245. That is the method that was most widely used before the invention of hand held calculators and after sine tables had been published. </span>
<span>The next, most complex way would be to evaluate terms in the infinite series representation of the arcsine function which is the way the sine tables were developed for publication. That series is </span>
<span>arcsin(x) = x + x³/6 + (3/40)x^5 + (15/336)x^7 + ... </span>
<span>The result for any of those methods would be B = 46.4° </span>
<span>Geometrically, you could: </span>
<span>1) Draw a circle of known radius, R. centered at the origin of a rectangular coordinate system </span>
<span>2) Draw a line parallel to the x axis a distance 0.7245R above the x-axis </span>
<span>3) Draw a line connecting the origin to the rightmost point of intersection between the circle 1) and the line 2). </span>
<span>4) Measure the angle between the line 3) and the +x axis. </span>
<span>The Angle 4) will be the measure of the angle whose sine is 0.7245. </span>
<span>That explains four ways you can find the measure of the angle whose sine is 0.7245.</span>
Let's say that you're in your room and you find that the current temperature of 72 degrees is too cold, so slowly you increase the temperature of the room by two degrees.
We know that the explicit formula is
a^n=a^1+ (n-1)d
and so by substituting the given information in
a^n= 72 + (n-1)2
a^1=Initial temp
d= rate of change
by substitution a value of n (the term we are looking for) into this equation, you can then calculate the temperature that you just set the room too.
Answer:
The absolute number of a number a is written as
|a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation
|x|=a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
|x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality
|x|<2
Represents the distance between x and 0 that is less than 2
picture42
Whereas the inequality
|x|>2
Represents the distance between x and 0 that is greater than 2
picture43
You can write an absolute value inequality as a compound inequality.
$$\left | x \right |<2\: or
−2<x<2
This holds true for all absolute value inequalities.
|ax+b|<c,wherec>0
=−c<ax+b<c
|ax+b|>c,wherec>0
=ax+b<−corax+b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
Sorry If its not what your looking for but i tried
