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Fudgin [204]
3 years ago
5

The height of a tower is measured as 16.6 m. What is the shortest possible height of the tower?

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

16m

Step-by-step explanation:

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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}}

7 0
3 years ago
Freddie plants carrots in two gardens in each garden he plants three rows of seven carrots what is the total number of carrots f
tankabanditka [31]

Step-by-step explanation:

3x7=21

21x2=42

total 42 carrots

3 0
3 years ago
Write an inequality for the given statement:the sum of x and 25 is less than 75
tiny-mole [99]

Answer:

x + 25 < 75; x < 50

Step-by-step explanation:

The inequality says the sum of x and 25 (written as x + 25) is less than (<) 75.

The inequality is written as: x + 25 < 75

My work for solving the inequality is in the picture.

4 0
3 years ago
Deandre just bought 9 bags of 15 cookies each. He already had 6 cookies in a jar. How many cookies does deandre have now?
djverab [1.8K]

Answer:

141 cookies

Step-by-step explanation:

amount of cookies

= 9(15) + 6

= 135 + 6

= 141

6 0
3 years ago
4.22 x 1o^6 + 2.25 x 10^5 + 2.8 x 10^6
denpristay [2]
7245000...hope that helps
8 0
3 years ago
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