So instead of 3/4 we’re gonna make it easy for us and multiply the top and bottom
1+1/8+1+6/8
2+7/8
Answer: 2 7/8
Steps:
"Of" means "x" (times)
For 20% pretend there is an imaginary decimal at the end and move that decimal all the way to the front.
Now what is .20 of (times) $60 = 12
I think that's what you wanted. The discount price
Answer:
= 12π
Step-by-step explanation:
The field F is given by:
(1)
The curve C is the ellipse:

In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.
The general form of an ellipse equation is:

The parametric equation is:
(2)
The Stokes's theorem is given by the following identity:
The path integral is also:
(3)
For F(r(t)) and dr(t) you obtain:

Next, in the equation (3) you obtain:
![\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi](https://tex.z-dn.net/?f=%5Cint_0%5E%7B2%5Cpi%7D%20%28-48sin%5E2t%2B64cos%5E2t%29dt%3D%5Cint_0%5E%7B2%5Cpi%7D%28-%5Cfrac%7B48%7D%7B2%7D%281-cos2t%29%2B%5Cfrac%7B64%7D%7B2%7D%281%2Bcos2t%29%29dt%5C%5C%5C%5C%3D%5Cint_0%5E%7B2%5Cpi%7D%28-24%2B24cos2t%2B32%2B32cos2t%29dt%5C%5C%5C%5C%3D%5Cint_0%5E%7B2%5Cpi%7D%286%2B56cos2t%29dt%5C%5C%5C%5C%3D%5B6t%2B56sin2t%5D_0%5E%7B2%5Cpi%7D%3D%5B6%282%5Cpi%29-0%5D%3D12%5Cpi)
The circulation of the field around C is 12π
Answer:
x equals five thirteenths
Step-by-step explanation:
To solve this, we will follow the steps below;
× x +
= 4 × x
+
= 4x
= 4x
Multiply both-side of the equation by 4
× 4= 4x × 4
On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;
3x + 5 = 16x
subtract 3x from both-side of the equation
16x - 3x = 5
13x = 5
Divide both-side of the equation by 13
= 
(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)
x = 
x equals five thirteenths