For this question, we want to find out what 9 / 12 equals as a percent
or x / 100. Therefore, we have a proportion here and can say:
9/12 = x/100
Now, at this point, we can cross multiply to get:
900 = 12x
Now, divide both sides by 12 to get x alone and find that:
x = 75 <==== FINAL ANSWER
so 9 is 12% of 75!
I hope that helps you out! Please let me know if you have any other questions!
<span>In order to meaningfully compare the distance per unit of fuel, we need to convert one set of measurements into the same units as the other set of measurements. Doesn't matter if we convert miles per gallon to kilometers per liter or visa versa. So let's convert 32 miles per gallon to kilometers per liter.
32 mile/gal * 1.60934 km/mile / 3.78541 L/gal = 13.60457124 km/L
And since 13.6 km/L is better than 12.7 km/L, the American car gets better gas mileage than the European car.
To demonstrate that it didn't matter which we converted, let's do the problem again, except this time we'll convert from km/L to miles/gal. So
12.7 km/L / 1.60934 km/mile * 3.78541 L/gal = 29.87231225 mile/gal
And once again, 32 mile/gal is higher than 29.9 mile/gal. So the American car still has better gas mileage.</span>
Hello,
Your LCD is (x-3)^2 This is becuse x-3 is on both equations.
Answer:
√3/2
Explanation:
The directional derivative at the given point is gotten using the formula;
∇f(x,y)•u where u is the unit vector in that direction.
∇f(x,y) = f/x i + f/y j
Given the function f(x, y) = y cos(xy),
f/x = -y²sin(xy) and
f/y = -xysin(xy)+cos(xy)
∇f(x,y) = -y²sin(xy) i + (cos(xy)-xysin(xy)) j
∇f(x,y) at (0,1) will give;
∇f(0,1) = -0sin0 i + cos0j
∇f(0,1) = 0i+j
The unit vector in the direction of angle θ is given as u = cosθ i + sinθ j
u = cos(π/3)i+ sin(π/3)j
u = 1/2 i + √3/2 j
Taking the dot product of both vectors;
∇f(x,y)•u = (0i+j)•(1/2 i + √3/2 j)
Note that i.i = j.j = 1 and i.j = 0
∇f(x,y)•u = 0 + √3/2
∇f(x,y)•u = √3/2
