Answer:
Set of all real numbers
Step-by-step explanation:
When we talk of domain, we mean the possible values of x that the equation can take without being undefined
So x-values that makes the equation defined are the domain of the graph
From the diagram, we can see that the graph extends from negative infinity to positive infinity
What this mean is that the possible values here come from the top right and extends to the left
So this means that the range of possible values are the set of all real numbers
Answer:
165920160 ways
Step-by-step explanation:
Number of songs in library (n) = 115
Number of songs in Playlist (r) = 4
Since the order is important:
nPr = n! / (n-r)!
115P4 = 115! / (115 - 4)! = 115! / 111! = (115 * 114 * 113 * 112)
= 165920160 ways
Answer:
y = 15°
∠A = 78°
∠B = 68°
∠BAC = 34°
Step-by-step explanation:
∠BAC = 180° - 146° = 34°
the sum of the interior angles of any triangle is 180°
5y + 3 + 4y + 8 + 34° = 180°
combine like terms:
9y + 45° = 180°
subtract 45° from each side of the equation:
9y = 135°
divide both sides by 9:
y = 15°
∠A = 5(15) + 3 = 78°
∠B = 4(15) + 8 = 68°
Answer:
4.5 inch
Step-by-step explanation:
Given: A candle is 7 inch tall after burning for 1 hour.
Same candle is 5.5 inch tall after burning for 4 hours.
Lets assume time to burn candle be "x" and height of candle be "y".
Now, finding the rate of changes in height of candle per hour.
Let "m" represent the changes in height of candle per hour.
we know, 
∴ m= 
m= 
Next, forming an equation to know the original height of candle.
using equation; 
We know, A candle is 7 inch tall after burning for 1 hour.
⇒ 
⇒ 
Adding both side by 0.5
⇒
Hence, the original height of candle was 7.5 inches.
Again using the same equation to find the height of candle after burning for 6 hour.
⇒ 
∴ y= 4.5 inches.
Hence, The candle will be 4.5 inches tall after burning for 6 hour.
