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2 years ago

Please help me with these!

Mathematics

1 answer:

katen-ka-za [31]2 years ago

3 0

The correct answer would be D

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Find the total volume. Please show your work.

elena-s [515]

Answer:

Step-by-step explanation:

You have a half sphere and a cylinder.

Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.

For cylinder:

radius r = 5 m

height h = 6 cm = 0.06 m

volume = πr²h = π(5²)(0.06) = 1.5π m³

For sphere:

radius r = 5 m

volume of sphere = (4/3)πr³

volume of half sphere = (2/3)πr³ = (2/3)π5³ = (250/3)π m³

Total volume = 1.5π + 250π/3 ≅ 266.5 m³

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2 years ago

How long will it take a bus to travel 825 miles at a rate of 55 mph

liubo4ka [24]

Answer:

8,.5 hours

Step-by-step explanation:

3 0

3 years ago

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What is the slope? The coordinate plane line has one point on (-4,4) and the other line on (0,-1)

Misha Larkins [42]

The answer is M = -4/5

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3 years ago

Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago

The sales of a certain product after an initial release can be found by the equation s=16√7t+62 where s represents the total num

Aleonysh [2.5K]

You want to replace the s with 150 in the equation and then just solve for t.
150=16√7t +62 subtract 62 from both sides
88=16√7t divide both sides by 16
5.5=√7t to get rid of the square root square both sides.
30.25=7t now divide both sides by 7
4.3 = t (approximately)
so at 4 weeks they will have sold 150 units.

3 0

3 years ago

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