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3 years ago

Square root is 200 and integers are 14 and 15. what should each side of the garden be??

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Answer: 2w

Step-by-step explanation: if the garden is shaped like a square, then all the sides are equal,

length = breadth, and the Area of a square or rectangle is the length multiplied by the breadth

and to find the length and breadth, we find the square root of the area

The area is 4w2

We know that 4 is the perfect square of 2, making 2 the square root of 4

And w2 is the square of w

This is elementary algebra, a x a = a2

b x b = b2, w x w = w2

So adding both together, the square root of 4w2 = 2w

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by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

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3 years ago

Solve the equation 40 = 2x^2+ 2x by factoring.<br> What are the solutions?

Nimfa-mama [501]

Answer:

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Step-by-step explanation:

Factor and set each factor equal to zero

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2 years ago

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In a survey of 5000 registered voters who reside in California, 2739 were found to be republican. Construct a confidence estimat

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Answer and Step-by-step explanation:

given:

Sample size is: n =5000

The sample proportion is: Ṗ = 2739 / 5000 = 54.78%

And the critical value of z for 99% confidence interval is

Z = 2.58

For a 99 % confidence interval we use formula:

Ṗ ± z√(Ṗ(1- Ṗ)/n)

By putting the given values in this formula:

0.54 ± 2.58√(0.54(1-0.54)/5000)

= 0.54 ± 0.018

This gives us upper confidence limit of

0.54 + 0.018 =0.558 = 0.54%

This gives us lower confidence limit of

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2 years ago

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3 years ago

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3 years ago

Square root is 200 and integers are 14 and 15. what should each side of the garden be??​

Square root is 200 and integers are 14 and 15. what should each side of the garden be??