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3 years ago

HELP PLEASE DUE IN 3 MINUTES

Mathematics

2 answers:

sp2606 [1]3 years ago

8 0

Answer:

$3 dollars

Step-by-step explanation:

mode is the one that appears the most frequently in a set and three bucks is shown multiple times the most

Gala2k [10]3 years ago

3 0

A is the answer $2.00

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A 250-gal tank is initially filled with brine (salt-water mixture) containing 100 lb of salt. Brine containing 3 lb of salt per

gulaghasi [49]

Answer:

x(t) = 581.66 lb

Step-by-step explanation:

From the given information:

Consider the salt quantity in the tank at time t be x(t) lb.

∴ the rate of change of salt content in the tank is $\dfrac{dx}{dt}= Rate \ of \ \ inflow - rate \ of \ \ outflow$

where:

the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons

=21 lb/s

rate of outflow = salt conc. in the tank × flow rate

= x/250 × 9

= 9x/250 lb/s

∴

$\dfrac{dx}{dt} = 21 - \dfrac{9x}{250}$

$\dfrac{dx}{dt} + \dfrac{9x}{250}= 21$

This is a 1st order linear differentiation,

The integrating factor if $e^{^{ \int \dfrac{9}{250}\ dt}} = e^{^{ \dfrac{9t}{250} }}$

∴

$e^{^{ \dfrac{9t }{250}}} \ \ x(t) = \int 21 e^{\dfrac{9t}{250}} \ dt + C$

$e^{^{ \dfrac{9t }{250}}} \ \ x(t) = 21 \times \dfrac{250}{9}e^{\dfrac{9t}{250}} + C$

$x(t) = \dfrac{1750}{3}+Ce^{^{\dfrac{-9t}{250}}}$ at t = (0) and x(0) = 100 lb

Hence;

$100 = \dfrac{1750}{3}+C$

$C = \dfrac{1750}{3} -100$

$C = - \dfrac{1450}{3}$

∴ $x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9t}{250}}}$

after time t = 1 minute i.e 60 s

$x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9 \times 60}{250}}}$

$x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-540}{250}}}$

x(t) = 581.66 lb

5 0

3 years ago

ABCD is an isosceles trapezoid with diagonals that intersect at point P. If AB || CD, AC = 7y -30, BD = 4y + 60, and

Sophie [7]

The answer is b 164.

8 0

2 years ago

How can 86 books to 150 books

Romashka [77]

Answer:

74.42

Step-by-step explanation:

(150-86):86*100 =

(150:86-1)*100 =

174.41860465116-100 = 74.42

8 0

2 years ago

Please help, I miss one day and I dont know how to do this

valentinak56 [21]

Answer:

X is 12 Y is 124

Step-by-step explanation:

left and right side have equal degrees of 56

so x would be 12 because you would multiply 4×12

since in total it will be 360 degrees

you add 56 and 56 together to get 112

then just subtract 112 from 360 and you get 248 then divide 248 by 2 and you have your bottom and top value of 124

4 0

3 years ago

Which is true about the domain and range of each function? Both the domain and range change. Both the range and domain stay the

user100 [1]

Answer:

The range stays the same, but the domain changes

Step-by-step explanation:

Just took the test

3 0

3 years ago

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