The answer to your question is 2/3 because there are 2 cups and 2/3 of buttermilk meaning 33.3333.. so it would be 20/30 then 2/3
Answer:
$30.38
Step-by-step explanation:
To find the sale price, find the percentage you pay after the discount. The discount is for 38%. So you pay 62%.
The selling price of the scarf will be 0.62(49) = 30.38
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2
abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.
d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
Answer:
![[tex]4608\sqrt{3}](https://tex.z-dn.net/?f=%5Btex%5D4608%5Csqrt%7B3%7D)
[/tex]
Step-by-step explanation:
1. 
2. 
<em>factoring 96</em>
<em>since 
</em>
3. 
<em>using exponent rule - 
</em>
<em> 
</em>
4. 
<em>doing some simple simplification and 
and 6=2*3</em>
5. 
<em>collecting the roots on one side and applying exponent rule</em>
6. 
<em>Applying exponents rule on all 
and 
</em>
<em>7. 
</em>
<em>combining all powers of 2</em>
8. 
<em>Simplifying</em>
9. 
10. 
11. 
