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3 years ago

9 1/12 - 4 5/8 - 2 2/3=

Mathematics

1 answer:

Sphinxa [80]3 years ago

5 0

Answer:

= 3 -1.202

Step-by-step explanation:

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Gina wants to ride the waves at flagship pier in Galveston so she rents a surfboard for 5$ per hour plus an initial or beginning

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$20 for beginning
$5 per hour

Then 90 - 20 is 70. 70 divided by 5 is 14.

She can rent a surfboard to surf for 14 hours.

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3 years ago

At the beginning of the week, Joshua had $356 in his savings account. At the

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$356 - $123 = $233, joshua spent $233

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3 years ago

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I am a square number. The sum of my digits is 7. what square might i be?

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Thee answer is 25. 25 is a square number as it is 5 times 5. The sum of the digits 2+5 is 7.

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3 years ago

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

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2 years ago

Positionx (m)

9966 [12]

Answer:

A. 3.0 m/s

Step-by-step explanation:

Based on the graph,

velocity = Area of the graph

$v = \frac{y1 - y2}{x1 - x2}$

(y : position and x : time)

Let y1 = 2m and y2 = 14m,

t1 = 0s and t2 = 4s

v = (14 - 2)m/(4-0)s

= 12m/4s

= 3.0 m/s

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2 years ago

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9 1/12 - 4 5/8 - 2 2/3=​

9 1/12 - 4 5/8 - 2 2/3=