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Iteru [2.4K]
3 years ago
7

A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

mped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Mathematics
1 answer:
Over [174]3 years ago
6 0

Answer:

the number A(t) of grams of salt in the tank at a time is <em>A(t)=150-110e-t/50</em>

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What is 6.25% written as a fraction in lowest terms?
aleksandr82 [10.1K]
6 is already a whole number so that stays the same and the decimal given is .25 which is a quarter and which as a fraction can be written as 1/4 so the answer is 6 1/4
8 0
3 years ago
Read 2 more answers
HELPPPP PLZZ ND THANK YOU SOO MUCH
swat32

Answer:

50, 40, 30, 250, 350

Step-by-step explanation:

1/2 = 0.5, 0.5 x 100 = <u>50</u> (0.5 -> 5 -> 50)

2/5 = 0.4 (10 / 5 [the denominator] = 2, 0.2 x 2 [the numerator] = 0.4), 0.4 x 100 = <u>40</u> (0.4 -> 4 -> 40)

3/10 = (10 / 10 [the denominator] = 1, 0.1 x 3 [the numerator] = 0.3), 0.3 x 100 = <u>30</u> (0.3 -> 3 -> 30)

5/2 = 2.5 (2 1/2), 2.5 x 100 = <u>250</u> (2.5 -> 25 -> 250)

7/2 = 3.5 (3 1/2), 3.5 x 100 = <u>350</u> (3.5 -> 35 -> 350)

Note: I'm not sure if I understand the question completely, but I changed the fraction into a decimal and multiplied it by 100. Not sure what it means by "<u><em>Divide</em></u><em> fraction</em>".

3 0
2 years ago
The probability that a student pilot passes the written test for a private pilot's license is 0.7. what is the probability that
zhenek [66]
<span>Probability = 0.063 Fourth try = 0.0973 Let X be the number of failed attempts at passing the test before the student passes. This is a negative binomial or geometric variable with x â {0, 1, 2, 3, . . .}, p = P(success) = 0.7 and the number of successes to to observe r = 1. Thus the pmf is nb(x; 1, p) = (1 â’ p) xp. The probability P that the student passes on the third try means that there were x = 2 failed attempts or P = nb(2, ; 1, .7) = (.3)2 (.7) = 0.063 . The probability that the student passes before the third try is that there were two or fewer failed attmpts, so P = P(X ≤ 2) = nb(0, ; 1, .7) + nb(1, ; 1, .7) + nb(2, ; 1, .7) = (.3)0 (.7) + (.3)1 (.7) + (.3)2 (.7) = 0.973 .</span>
4 0
3 years ago
Wes works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate,
Dmitry [639]

Answer:

Correct answer: at 2 p.m. the population was 10,000

                          at 3 p.m. the population was 50,000

Step-by-step explanation:

At 1 p.m. population was 2,000

At 2 p.m. or after  first hour, the population of bacteria increases

in this way 2,000 · k  

At 3 p.m. or after second hour, the population of bacteria increases

2,000 · k²

At 4 p.m. or after third hour, the population of bacteria increases 2,000 · k³

2,000 · k³ = 250,000 =>  k³ = 250,000 / 2,000 = 125

k = ∛125 = 5  => k = 5

At 2 p.m. or after  first hour, the population of bacteria was 2,000 · 5 = 10,000

At 3 p.m. or after second hour, the population of bacteria was 2,000 · 5² =

= 2,000 · 25 = 50,000

God is with you!!!

6 0
2 years ago
How do I solve -2(x+1)=-8x+1
mylen [45]
-2 (x+1)= -8x+1
-2x-2= -8x+1
+2x. +2x
-2= -6x+1
-1. -1
-3= -6x
÷-6
x=.5

X=0.5
4 0
2 years ago
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