Answer:
Step-by-step explanation:
we have that
The formula for the surface area of the enclosed space is
Solve for P
That means ------> isolate the variable P
Subtract lw both sides
Multiply by 2 both sides
Divide by h both sides
Rewrite
Im not sure what slope means but if it means gradient then the gradient is 3x.
Possibilities:
3:11, 6:22, 12:44
<span>(1 gallon)/(20 miles) = (x gallons)/(180 miles)
1/20 = x/180
1*180 = 20x
180 = 20x
20x = 180
</span><span>x = 180/20
x = 9
It takes 9 gallons of gas to drive 180 miles
(9 gallons)*(3.98 dollars/1 gallon) = 9*3.98 dollars = 35.82
Round to the nearest dollar: 35.82 ---> 36
It costs $36 to travel 180 miles</span>
Notice that
(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵
Recall the binomial theorem:
Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then
We get an <em>x</em> ³ term for
2<em>k</em> - 5 = 3 ==> 2<em>k</em> = 8 ==> <em>k</em> = 4
so that the coefficient would be