Find the equation of the surface. the bottom hemisphere of a sphere centered at (8, -7, 0) with radius 10.

1 answer:

7 0

The equation of the sphere is
.. (x -8)^2 +(y +7)^2 +z^2 = 10^2

Then the bottom hemisphere has the equation
.. z = -√(100 -(x -8)^2 -(y +7)^2)

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Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0,

Alex

Answer:

The time-mean speed of the minivans is of 105.8 seconds.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.

Thus, the mean is:

$M = \frac{98 + 108 + 113 + 108 + 102}{5} = 105.8$

The time-mean speed of the minivans is of 105.8 seconds.

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1 year ago

On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is

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Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

Point P is at (4, 2),
Point Q is at (8, 5),
Point R is at (5, 9), and
Point S is at (1, 6)

Midpoint of SQ $=\frac{1}{2}(1+8,5+6)=(4.5,5.5)$

Midpoint of PR $=\frac{1}{2}(4+5,2+9)=(4.5,5.5)$

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

Slope of RP =7

Slope of SQ $=-\dfrac17$

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

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2 years ago

A bird sanctuary needs at least 500 lbs of corn per month. The storage shed

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Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

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$V_{cuboid}=lenght*width*height$

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