Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8
Yes! This is because -150/10 can be simplified to be -15, which is a rational number.
The word “rational” sounds like another math word you’ve heard of before. Do you know what it is?
Well, it’s “ratio”!! Ratios can be seen in the forms x:y and x/y.
ANY RATIONAL NUMBER HAS THE ABILITY TO BE WRITTEN AS A RATIO!! This will completely exclude numbers with super long decimal points (ex: 1.2345678809928374737272828...)
This number also meets the requirements of being an integer. An integer is any whole number (this excludes decimals and fractions)
I know it’s written as a fraction. However, the fraction could be simplified, making it -15, which means this is both a rational number and an integer!!
Answer:
Step-by-step explanation:
Volume = 
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
Answer:
4 inches per hour
Step-by-step explanation:
7 x 4 = 28
Speed = distance ÷ time so it's probably
35÷120=0.291 or 7/24 miles per hour
