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tester [92]
3 years ago
9

Q + 67 = q+68 what is q?

Mathematics
1 answer:
Fantom [35]3 years ago
4 0
Answer:

No solution
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A 50-gal tank initially contains 20 gal of pure water. Salt- water solution containing 0.5 lb of salt for each gallon of water b
icang [17]

Answer:

x(15) = 21 lb

Step-by-step explanation:

Rate of change in volume of salt water solution = rate of volume incoming - rate of volume outgoing

                                dV/dt  = 4 - 2 =2gal/min

So, the equation for volume at cetain time t at given conditions and values becomes,

                                V(t) = 2t + V

                                V(t) = 2t + 20   gal-------------------euqation (1)

Rate of change in amount of salt = rate of salt in - rate of salt out

                                  dx/dt = {0.5*4} - {[x(t)/V(t)]*2}

                                  dx/dt = 2-2[(x(t))/(2t+20)]

                                  dx/dt = 2-[(x(t))/(v(t))] lb/min

Now, with integrating factor, we get

          exp[∫(1/(1+10))dt)] = t+10

the equation becomes

(t + 10)*x' + x = 2*(t+10)

((t+10)*x') = 2*(t+10)

(t+10)*x = t² + 20t + C

As x(0) = 0,

x(t) = (t²+20t)/(t+10)

x(15) = (15²+20*15)/(15+10)

x(15) = 21 lb

4 0
3 years ago
If x=1+√2, evaluate x³+1/x³.
aleksandr82 [10.1K]

Answer:

10√2

Step-by-step explanation:

If x=1+√2, evaluate x³+1/x³

--------

  • x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
  • x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
  • x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2
3 0
3 years ago
Kendrick Campbell purchased a $25,000 municipal bond at a quoted price of 93.456 the bond pays annual interest at a rate of 3.7%
Anastasy [175]
The interest is $925.
4 0
4 years ago
Write 543.24 in expanded form.
tekilochka [14]

Answer:

543.24

Step-by-step explanation:

Expanded Notation Form:

500

+ 40

+ 3

+ 0.2

+ 0.04

Expanded Factors Form:

5 × 100

+ 4 × 10

+ 3 × 1

+ 2 × 0.1

+ 4 × 0.01

Expanded Exponential Form:

5 × 102

+ 4 × 101

+ 3 × 100

+ 2 × 10-1

+ 4 × 10-2

Word Form:

five hundred forty-three and twenty-four hundredths

7 0
3 years ago
The sum of 3 and a number is between -2 and 17.
kumpel [21]

Answer:

The number, x = { -5 < x < 14}

This means x is any integer between -5 and 14

Step-by-step explanation:

From the statement, let the number be x

3 + x = y; y = { -2 < y < 17}

This means that y is any integer between -2 and 17

Therefore, x = y - 3

Subtract 3 from the limits of y

i.e. -2 - 3 = -5 and 17 - 3 = 14

Hence, x = { -5 < x < 14}

4 0
3 years ago
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