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Crazy boy [7]
3 years ago
13

Order the rational numbers from greatest to least

Mathematics
1 answer:
rusak2 [61]3 years ago
8 0

Answer:

0.55 least            3

3/5= .6 greater    2

2/3= .66​ greatest 1

Step-by-step explanation:

give me brainliest pls

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A tank contains 250 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
VashaNatasha [74]

Answer:

A(t)=250-210e^{-\frac{t}{50}}

Step-by-step explanation:

We are given that

Volume,V=250 L

Mass of salt=m=40 g

Brine containing 1 g per liter

Pumped into the tank at the rate=5 L/min

We have to find the number A(t) of grams of salt in the tank at time t.

Rate of change of salt in the tank

\frac{dA}{dt}=Rate in-Rate out

Rate in=5 L/min

Rate out=\frac{A}{250}\times 5=\frac{A}{50} L/min

\frac{dA}{dt}=5-\frac{A}{50}=\frac{250-A}{50}

\int \frac{50dA}{250-A}=\int dt

-50ln(250-A)=t+C

Using the formula

\int \frac{dx}{x}=ln x

A=40 and t=0

-50ln(250-40)=0+C

-50ln(210)=C

Substitute the value

-50ln(250-A)=t-50ln(210)

-50ln(250-A)+50ln(210)=t

50ln\frac{210}{250-A}=t

t=50ln\frac{210}{250-A}

\frac{t}{50}=ln\frac{210}{250-A}

\frac{210}{250-A}=e^{\frac{t}{50}

\frac{250-A}{210}=e^{-\frac{t}{50}}

250-A=210e^{-\frac{t}{50}}

A(t)=250-210e^{-\frac{t}{50}}

8 0
4 years ago
Translate the equation into a verbal sentence. 2a = 7a - b
Viktor [21]
The second sentence is correct.....
4 0
3 years ago
a big cruise ship dropped anchor off the Caribbean island of antigua. the heavy anchor dropped into the water at a rate of 2.5 m
AysviL [449]

Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell

                                     (2.5 m/s) x (45 s)  =  112.5 meters .

If it wound up only 40 meters underwater, then it must have fallen

                                      (112.5 m  -  40 m)  =  72.5 meters

from its storage position on the big cruise ship, 
before it ever reached the water.

Since it was falling at the rate of  2.5 m/s, it took

                                     (72.5 m) / (2.5 m/s)  =  29 seconds

to get down to the water surface after it started dropping.

6 0
3 years ago
Find a recurrence relation for the number of strictly increasing sequences of positive integers that have 1 as their first term
exis [7]

Answer:

Step-by-step explanation:

(1)

a_i = a_{i-1} + 1

(2)

The initial condition is a_1 = 1

(3)

Infinitely many.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D-5x-24%3D0" id="TexFormula1" title="x^{2}-5x-24=0" alt="x^{2}-5x-24=0" align="absmi
xeze [42]

Answer:

x= 8, 3

Step-by-Step Explanation:

x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8

x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3

5 0
3 years ago
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