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Allisa [31]
3 years ago
12

Jenifer made the following figure out of 1 inch cubic inch cubes.What is the volume of her figure?

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

1 inch

Step-by-step explanation:

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A spieces of extremely rare, deep water fish are slowly becoming extinct. If there are a total of 821 of this type of fish and t
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Answer:

12 months in a year

6 is half a month so we're going off of 6 months.

So:

821*0.15= 123.15

821- 123.15= 697.85

697.85*0.15= 104.6775

697.85-104.6775= 593.1725

593.1725*0.15= 88.975875

593.1725-88.975875= 504.196625

504.196625 *0.15= 75.62949375

504.196625- 75.62949375= 428.56713125

428.56713125*0.15= 64.2850696875

428.56713125-64.2850696875 = 364.282061562

364.282061562*0.15= 54.6423092344

364.282061562-54.6423092344 = 309.639752328

So its 310 fish.

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3 years ago
Two cards are chosen at random from a standard 52-card deck. What is the probability that they are either both hearts or both di
Delvig [45]
With or without replacement?

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Calcuate the 2 unit rates for the following 150 gallons in 50 seconds. this answer has 2 answers. please help the teacher is goi
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3 gallons per second
Or
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Just do 150 gal over 50 seconds
Or reverse it to 50 sec over 150 gallons

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3 years ago
Find the volume of the figure(hemisphere mounted on a right circular cone)use 3.14 for pi
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Answer:26 is the answer I think

Step-by-step explanation:

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Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the
sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let y(t) be the depth of water in the barrel at time t,  where y is measured in inches and t in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

                                                 \frac{dy}{dt}=-k\sqrt{y}

where k is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by \frac{1}{\sqrt{y}}

\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k

Multiply by dt

\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt

Take integral

\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt

Integrate

2\sqrt{y}=-kt+C

Isolate y

y(t)=(\frac{C}{2} -\frac{k}{2}t)^2

We know that the water level starts at 36, this means y(0)=36. We use this information to find the value of C.

36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12

y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2

At t = 1, y = 34

34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}

So our formula for the depth of water in the barrel is

y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\

To find the time, t, at which all the water leaks out of the barrel, we solve the equation

\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0
4 years ago
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