How many seconds are in 2.94 centuries

Mathematics

1 answer:

andre [41]3 years ago

5 0

Answer:9.2716e+9

Step-by-step explanation:

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HELP ME PLS<br> if y varies inversely with x, and y = 15/2 when x = 4, find x when y = 15/4

SCORPION-xisa [38]

Y=1/x
y=k/x
Where “k” is a constant
15/2=k/4
2k=60
k=60/2
k=30
:. 15/4=30/x
15x=120
x=120/15
:.x=8.

8 0

2 years ago

6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

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3 years ago

Is x=y-1 a function or not

Irina-Kira [14]

Yes I think so I apologize if not

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3 years ago

A water tank has a radius 5 feet and height 11 feet. How much water can it hold?

Semmy [17]

The water tank hold 863.50 $ft^{3}$ of water.

<h3>What is Volume of cylinder?</h3>

The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.

The water tank is in the shape of cylinder whose radius = 5 feet

and, height= 11 feet

Volume of water tank = $\pi r^{2} h$