2 years ago

Can someone please answer this!! Please only answer if you no!!

Mathematics

1 answer:

Alenkasestr [34]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.

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Answer:

The equation of the sphere in standard form is

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

Step-by-step explanation:

<u>Step 1</u>:-

The equation of the sphere having center and radius is

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}$

Given centered of the sphere is (-6,10,5) and radius r=5

$(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}$

on simplification,we get

$using (a+b)^{2} =a^{2} +2 a b+b^{2}$

$using (a-b)^{2} =a^{2} -2 a b+b^{2}$

simplify , we get

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

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Jamie puts $500 into a savings account that has an interest rate of 1% how much will be in her account after 6 years?

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Step-by-step explanation:

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12.93 is what percent of 172.40?

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Answer:

Step-by-step explanation:

$METHOD\ 1:\\\\\begin{array}{ccc}172.4&-&100\%\\12.93&-&p\%\end{array}\qquad\text{cross multiply}\\\\172.4p=(12.93)(100)\\\\172.4p=1293\qquad\text{divide both sides by 172.4}\\\\p=7.5\ (\%)$

$METHOD\ 2:\\\\\dfrac{12.93}{172.4}\cdot100\%=\dfrac{1293}{17240}\cdot100\%=0.075\cdot100\%=7.5\%$

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2 years ago

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