Answer:
$41.9
Step-by-step explanation:
divide $62.85 and get 20.95 which is 1/3 of it so then you just subtract $20.95 from $62.85 and get 41.9
Answer:
the x intercept is -4
Step-by-step explanation:
to find the x intercept, set y = 0 and solve for x
y = 5x+20
0 = 5x+20
subtract 20 from each side
-20 = 5x +20 -20
-20 = 5x
divide each side by 5
-20/5 = 5x/5
-4 =x
Answer:
y=-4x-8
Step-by-step explanation:
use the equation y-y1=m(x-x1) and solve for y
Answer:
(a) k'(0) = f'(0)g(0) + f(0)g'(0)
(b) m'(5) = 
Step-by-step explanation:
(a) Since k(x) is a function of two functions f(x) and g(x) [ k(x)=f(x)g(x) ], so for differentiating k(x) we need to use <u>product rule</u>,i.e., ![\frac{\mathrm{d} [f(x)\times g(x)]}{\mathrm{d} x}=\frac{\mathrm{d} f(x)}{\mathrm{d} x}\times g(x) + f(x)\times\frac{\mathrm{d} g(x)}{\mathrm{d} x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20%5Bf%28x%29%5Ctimes%20g%28x%29%5D%7D%7B%5Cmathrm%7Bd%7D%20x%7D%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%20f%28x%29%7D%7B%5Cmathrm%7Bd%7D%20x%7D%5Ctimes%20g%28x%29%20%2B%20f%28x%29%5Ctimes%5Cfrac%7B%5Cmathrm%7Bd%7D%20g%28x%29%7D%7B%5Cmathrm%7Bd%7D%20x%7D)
this will give <em>k'(x)=f'(x)g(x) + f(x)g'(x)</em>
on substituting the value x=0, we will get the value of k'(0)
{for expressing the value in terms of numbers first we need to know the value of f(0), g(0), f'(0) and g'(0) in terms of numbers}{If f(0)=0 and g(0)=0, and f'(0) and g'(0) exists then k'(0)=0}
(b) m(x) is a function of two functions f(x) and g(x) [ 
]. Since m(x) has a function g(x) in the denominator so we need to use <u>division rule</u> to differentiate m(x). Division rule is as follows : 
this will give <em>
</em>
on substituting the value x=5, we will get the value of m'(5).
{for expressing the value in terms of numbers first we need to know the value of f(5), g(5), f'(5) and g'(5) in terms of numbers}
{NOTE : in m(x), g(x) ≠ 0 for all x in domain to make m(x) defined and even m'(x) }
{ NOTE : 
}
Answer:
<em>Well, The volume of the sink shaped like a half sphere is [2000/3] π in^2.</em>
<em />
<em>a) The volume of a cylinder is the area of the base * height</em>
<em />
<em>For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.</em>
<em />
<em>The area of the base is π (d/2)^2 = π (2 in)^2 = 4π in^2.</em>
<em />
<em>The volume of the cuo is 4π in^2 * 8 in = 32π in^3.</em>
<em />
<em>Then the number of cups to take the volume of [2000 / 3] π in^2 is:</em>
<em />
<em>[2000 / 3]π / [32π] = 20.83</em>
<em />
<em>Answer: 21 cups.</em>
<em />
<em>b) For this part the diameter of the cup is 8 in and the height is 8 in</em>
<em />
<em>Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3</em>
<em />
<em>And the number of cups needed is [2000π/3] / (128π) = 5.2 </em>
<em />
<em>Answer: 5 cups. </em><em>Good Luck!</em>
<em>From ~Itsbrazts~.</em>
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