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koban [17]
2 years ago
6

A . 5 - 4/8 B. -1/8 - 1/4 C. -1/4 - (-1/8) or D. -1/6 + (-5/24)

Mathematics
1 answer:
xenn [34]2 years ago
7 0

Answer:

letter ( D ).

1/6 + ( - 5 / 2 4 )

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the volume v of a right circular cylinder of radius r and heigh h is V = pi r^2 h 1. how is dV/dt related to dr/dt if h is const
laiz [17]
In general, the volume

V=\pi r^2h

has total derivative

\dfrac{\mathrm dV}{\mathrm dt}=\pi\left(2rh\dfrac{\mathrm dr}{\mathrm dt}+r^2\dfrac{\mathrm dh}{\mathrm dt}\right)

If the cylinder's height is kept constant, then \dfrac{\mathrm dh}{\mathrm dt}=0 and we have

\dfrac{\mathrm dV}{\mathrm dt}=2\pi rh\dfrac{\mathrm dt}{\mathrm dt}

which is to say, \dfrac{\mathrm dV}{\mathrm dt} and \dfrac{\mathrm dr}{\mathrm dt} are directly proportional by a factor equivalent to the lateral surface area of the cylinder (2\pi r h).

Meanwhile, if the cylinder's radius is kept fixed, then

\dfrac{\mathrm dV}{\mathrm dt}=\pi r^2\dfrac{\mathrm dh}{\mathrm dt}

since \dfrac{\mathrm dr}{\mathrm dt}=0. In other words, \dfrac{\mathrm dV}{\mathrm dt} and \dfrac{\mathrm dh}{\mathrm dt} are directly proportional by a factor of the surface area of the cylinder's circular face (\pi r^2).

Finally, the general case (r and h not constant), you can see from the total derivative that \dfrac{\mathrm dV}{\mathrm dt} is affected by both \dfrac{\mathrm dh}{\mathrm dt} and \dfrac{\mathrm dr}{\mathrm dt} in combination.
8 0
2 years ago
Write the number in 2 equivalent forms as a​ fraction, decimal, or percent.0.40
KIM [24]

Answer:

2/5 or 40%

Step-by-step explanation:

.40 is 40 hundredths or 40/100

40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5

Percentages are fractions out of 100 so 40/100 would be 40%.

5 0
2 years ago
1/2 of 24? Please helpppppppop
Brut [27]

Answer:

Half of 24 is 12

Step-by-step explanation:

24/2 = 12

6 0
3 years ago
Read 2 more answers
Suppose that you and a friend are playing cards and decide to make a bet. If you draw three face cards, where a face card is a J
Nataly_w [17]

Answer:

Step-by-step explanation:

Expected value of the bet =

<h3>P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) = </h3>

(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =

(64/132600) * 40 + (1 - 64/132600) *(-10) =

64/3315 + (132536/132600) * (-10) =

64/3315 - (132536/13260) =

64/3315 - 33134/3315 =

-33070/3315 =

-9.97586726998 =

-$9.98, rounded to the nearest cent  

(i.e., the expected value of the bet is a loss of $9.98)

3 0
2 years ago
PLEASE HELP ME WITH THIS MATH QUESTION
Helen [10]

Answer: 24%

Step-by-step explanation:

2610+8120 = The undergraduates and graduates combined.

That is 10730. You are figuring out the probability the student is a graduate when those two graduates are combined, because that is all the data given. So you would do 2610/10730 in your calculator, resulting in 24.324324324%. As it says rounded to the nearest percent in parentheses, it has to round to the whole number, 24%, and .3 rounds down.

5 0
3 years ago
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