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Assoli18 [71]
3 years ago
14

A sphere of radius 3 inches is sliced with two parallel planes: one passes through the equator and the other is H inches above t

he first plane. The resulting portion of the sphere between the two planes is called a spherical segment; see the picture: In Math 125, you will show that the volume V of the spherical segment is given by this formula (which we will assume): V = (π/3)H(27 – H2). Give EXACT ANSWERS to the questions below. (a) Find the volume of the spherical segment if H=1: (b) Find the rate of change of the volume with respect to H of the spherical segment at H=1: (c) Use the tangent line approximation at H=1 to estimate the value of H that will yield a spherical segment having volume 25 cubic inches:

Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

V = (π/3)H(27 – H2) : Please see attachment

a. Volume =26π/3

b.rate of change of the volume with respect to H = 8π

c.H=0.0114 inch

Step-by-step explanation:

Please see attachment

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This one is hard for me so can anyone plz help me
nirvana33 [79]

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Step-by-step explanation:

You can count the number of units they are apart, but if there isn’t a grid, then do this:

If x or y values in the ordered pairs are different, subtract them from each other and find the absolute value of the difference. (It’s my own rule, so there is a better method. My explanation apples only to ordered pairs that share a x or y value, like A and C)

2-(-6) = 8, and the absolute value of 8 is 8

Or

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7 0
2 years ago
Hunter needs 10 oz of a snack mix that is made up of seeds and dried fruit. The seeds cost $1.50 per ounce and the dried fruit c
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5 0
3 years ago
Math question: Write the equation of the line with an undefined slope, passing through the point (2, 5).
lana [24]
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As shown above, the equation would've been written in slope - intercept form, where 'm' represents the slope and 'b' represents the y - intercept. However, in this case, the slope is undefined.
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3 years ago
Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?
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Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.

<h3>What is decimal?</h3>

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.

Here,

Repeating decimal representation,

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Terminating decimal representation,

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3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.

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brainly.com/question/25903211

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