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
The answer is D. I graphed it on this website called desmos. The solution is where the lines intersect.
Answer:
<h3>Rules for division with a mixed number and a whole number
</h3>
<h3>The mixed number is converted into an improper fraction and the whole number is written as a fraction with denominator 1.
</h3>
<h3> 2.Division of the fractions is converted into a multiplication operation by multiplying the improper fraction with the reciprocal of the whole number.
</h3>
<h3> 3.The resulting fraction, if required, is written as a mixed number in simplest form.</h3>
<h2>I WILL GIVE YOU EXAMPLES AND LET ME JUST HOPE YOU GET IT ;)</h2><h2 /><h3>Example1: </h3><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>213÷7
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 213 as an improper fraction
</h3><h3>
</h3><h3>213=(2×3+1)3=73; 7=71
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>The division is converted into multiplication as follows
</h3><h3>
</h3><h3>213÷7=73÷71=73×17
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>73×17=(7×1)(3×7)=721
</h3><h3>Step 4:
</h3><h3>
</h3><h3>721 can be simplified and written as follows
</h3><h3>
</h3><h3>721=13
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 213÷7=13</h3><h3 /><h3>example2: </h3><h3 /><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>5÷134
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 134 as an improper fraction
</h3><h3>
</h3><h3>134=(1×4+3)4=74; 5=51
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>5÷134=51÷74=51×47
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>51×47=(5×4)(1×7)=207
</h3><h3>Step 4:
</h3><h3>
</h3><h3>207 can be written as a mixed number as follows
</h3><h3>
</h3><h3>207=267
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 5÷134=267</h3><h3 /><h3>OK HOPE THIS HELPS YOU :')</h3><h3 /><h3>PLEASE MARK ME BRILLIANT :3 </h3><h3>THANK YOU -</h3>
The answer would be:
Fraction: 27/32
Decimal: 0.84375
Answer:
2.70 hours to travel 180 mi.
Step-by-step explanation:
The distance traveled (d) varies directly as the time (t) of travel, by the following formula:
In which s is the velocity.
It takes 63 min to travel 70 mi.
So i am going to find the velocity in miles per minute
how many hours would it take to travel 180 mi?
I am first going to find the time in minutes, then divide by 60 to pass to hours.
It takes 162.16 minutes = 162.16/60 = 2.70 hours to travel 180 mi.
