Answer:
Step-by-step explanation:
We want to differentiate the equation:
With respect to <em>t</em>, where <em>x, y, </em>and <em>z</em> are functions of <em>t. </em>
<em />
So:
![\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bx%5E2-y%5E3%2Bz%5E4%5Cright%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5B1%5Cright%5D)
Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:
Answer:
4
Step-by-step explanation:
4-2
Answer:
$5.83 in taxes.
Step-by-step explanation:
Discounted price of pants: 23.50 × (1 - 0.3) = 16.45
Discounted price of shirts: 16.25 × (1 - 0.25) = 12.1875
Discounted price of hats: 9.75 × (1 - 0.15) = 8.2875
2 pants, 3 shirts, and 1 hat: 16.45(2) + 12.1875(3) + 8.2875(1) = 77.75
Sales tax: 77.75 × 0.075 = 5.83125
Rounded to nearest cent: $5.83 in sales tax
Answer:
An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
Step-by-step explanation:
hope this helps!
Answer:
125
Step-by-step explanation:
Sum of Exterior Angles must add to 360 so
