Answer:
They are equal
Step-by-step explanation:
the least common denominator is 40 so...
-36/8 = -180/40
-4.5 = -4 20/40
-180/40 can be simplified to 4.5
Essentially, none are greater they are equal
hope this helped <3
You can do a table for several values of tha angle (Ф).
But first you should remember some properties of the sine function.
1) Range: sine function goes from - 1 to + 1.
That means that 2 sin (πФ) goes from - 2 to + 2.
2) sine(0) = 0 => 2sin(π0) = 0
3) sine (π/2) = 1 =>
Ф = 0.5 => sin(π*0.5) = sin(π/2) = 1
=> 2sin(π*0.5) = 2
3) sin (-π/2) = - 1 =>
Ф = -0.5 => 2sin(-π/2) = -2
4) Periodicity:
The period of sine function is 2π
=> sin (πФ+ 2π) = sin(πФ)
Now you can do the table
Ф πФ sin(πФ) 2sin(πФ)
-1 -π sin(-π) 2sin(-π) = 0
-5/6 -5π/6 sin(-5π/6) 2sin(-5π/6) = -1
-1/2 -π/2 sin(-π/2) 2sin(-π/2) = -2
-1/6 -π/6 sin(-π/6) 2sin(-π/6) = -1
0 0 sin(0) 2sin(0) = 0
1/6 π/6 sin(π/6) 2sin(π/6) = 1
1/2 π/2 sin(π/2) 2sin(π/2) = 2
5/6 5π/6 sin(5π/6) 2sin(5π/6) = 1
1 π sin(π) 2sin(π) = 0
Then you can see that one cycle is from Ф = -1/2 to Ф = 1/2
And so you know that you can draw the function in that interval [-1/2, 1/2] and you already have some conspicuos values (from -2 to +2).
You can add some other points to do a better sketch.
Say that you start from a number . Then, you subtract and from , which means that the expression is
If we want this expression to be negative, we have
So, in order for the expression to be negative, the two numbers we are subtracting, combined, must be more than the starting number.
For example, if we start from 10 and we subtract 4 and then 8, we have
which is negative, because 4 and 8 combined are more than 10
Step One
========
Start with how much was transferred.
r = 4.4 megabytes / second
t = 32 seconds
amount transferred = ????
Formula: amount = r*t
amount = 4.4 * 32 = 140.8 megabytes were transferred.
Step Two
=======
Find the number of megabytes on the drive before the transfer took place.
The amount transferred = 140 megabytes.
The drive recorded when he was done there was 384 megabytes
The amount on the drive was 384 - 140 = 243.2 megabytes to begin with.
Step 3
=====
Find the number of megabytes left before the transfer.
1000 - 243.2 = 756.8 megabytes were left before he began his 32 second transfer.
Step 4
=====
Find the amount of time it would take to fill the drive.
He needs to transfer 756.8
The rate of transfer = 4.4 megabytes / second
t = ????
Formula: Amount transferred = r * t; t= amount / r
t = 756.8 / 4.4
t = 172 seconds.
Interesting question. Thanks for posting. It is a unique application of the more familiar formula
d = v * t
Answer:
B. {x| x > 2 or x < -4}
<em></em>
Step-by-step explanation:
Given
Required
Solve
Start by dividing both sides by 5
Find critical point of the inequality by changing the inequality to equality
Split the above expression
Make x the subject of formula in both
Check the intervals in between the critical points
Set: --- This works in the inequality
Set: --- This doesn't work in the inequality
Set: --- This doesn't works in the inequality
Set: --- This works in the inequality
<em>Hence, the solution is: {x| x > 2 or x < -4}</em>