Answer:
√10/2
Step-by-step explanation:
5/√10
Rationalizing the surd involves multiplying the numerator and denominator by the surd.
5/√10 * √10/√10
5√10/10
√10/2
Answer:
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3).
Step-by-step explanation:
x^5y^2 − x^4y + 2xy^3 = 0
Applying the Product and Chain Rules:
y^2*5x^4*dx/dy + 2y*x^5 - (y*4x^3*dx/dy + x^4) + (y^3* 2*dx/dy + 3y^2*2x) =0
Separating the terms with derivatives:
y^2*5x^4*dx/dy - y*4x^3*dx/dy + y^3* 2*dx/dy = x^4 - 2y*x^5 - 3y^2*2x
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3)
Answer:
25 times
Step-by-step explanation:
To find how many times he visited, plug in 85 as y and solve for x:
y = 3x + 10
85 = 3x + 10
75 = 3x
25 = x
So, Carlos visited the gym 25 times
Step-by-step explanation:
volume of a rectangular pan = length of the pan × width of the pan × height of the pan
V=l.b.h
234=9.13.h
h=234/9×13
h= 2in.
hope this helps you.
<span>s = 60t - 3t^2
v = ds/dt = 60 - 6t
when it comes to rest, v = 0,
so t = 10 sec
now distance travelled = time taken x average velocity
= 10 x (60 + 0)/2
= 300 ft
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