3 years ago

Find the volume of the sphere.

Mathematics

1 answer:

8090 [49]3 years ago

4 0

Answer:

Volume = 904.32 units³

Step-by-step explanation:

Volume = 4/3πr³ = 4/3(3.14)(6³) = 904.32

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Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.

blondinia [14]

Answer:

-11, 3

Step-by-step explanation:

We know one of the roots are

$(x+ 4) {}^{2} = 49$

$x + 4 = - 7$

$x + 4 = 7$

$x = - 11$

$x = 3$

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3 years ago

Gia opened two savings accounts at two different banks. One account earns an annual 3.4% simple interest, and the other earns ha

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Answer:

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3 years ago

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NISA [10]

Answer:

The minimum value of this quadratic function is -4.

At the point (-4, 0), the x-axis intercepts with the quadratic graph.

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3 years ago

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Sin30= x/18
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3 years ago

What is the solution of the matrix equation?

Alenkasestr [34]

Answer:

Step-by-step explanation:

$\left[\begin{array}{ccc}1&1\\2&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}8\\36\end{array}\right] \\\\\left[\begin{array}{ccc}x+y\\2x+3y\end{array}\right] =\left[\begin{array}{ccc}8\\36\end{array}\right]\\.\qquad\qquad\Downarrow\\\left\{\begin{array}{ccc}x+y=8&|\text{multiply both sides by (-2)}\\2x+3y=36\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-2x-2y=-16\\2x+3y=36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad y=20\\\\\text{Put the value of y to the firast equation:}\\\\x+20=8\qquad\text{subtract 20 from both sides}\\x=-12\\\\\boxed{(-12,\ 20)}$

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3 years ago