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2 years ago

Which expression is undefined?

Mathematics

1 answer:

Mkey [24]2 years ago

7 0

Answer:

D: $\frac{3}{(6-6)}$

Step-by-step explanation:

Option A equates to $-\frac{0}{2}=0$

Option B equates to $\frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}$

Option C equates to $0\div11 =0$

Option D equates to $\frac{3}{(6-6)}=\frac{3}{0}$ which cannot be defined as division by 0 is impossible

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Write four hundred seven trillion, six million, one hundred five thousand, twenty-eight in standard form

Jobisdone [24]

The standard form is 407600105028

5 0

3 years ago

Read 2 more answers

A tank initially has 300 gallons of a solution that contains 50 lb. of dissolved salt. A brine solution with a concentration of

belka [17]

Let s(t) be the amount of salt in the tank at time t. Then s(0) = 50 lb.

Salt flows into the tank at a rate of

(2 gal/min) (6 lb/gal) = 12 lb/min

and flows out at a rate of

(2 gal/min) (s(t)/300 lb/gal) = s(t)/150 lb/min

so that the net rate at which salt is exchanged through the tank is

ds(t)/dt = 12 - s(t)/150 … (lb/min)

Solve for s(t). The DE is separable, so we have

ds/dt = 12 - s/150

150 ds/dt = 1800 - s

150/(1800 - s) ds = dt

Integrate both sides to get

-150 ln|1800 - s| = t + C

Solve for s :

ln|1800 - s| = -t/150 + C

1800 - s = exp(-t/150 + C )

1800 - s = C exp(-t/150)

s = 1800 - C exp(-t/150)

Now given that s(0) = 50, we solve for C :

50 = 1800 - C exp(-0/150)

50 = 1800 - C

C = 1750

Then the amount of salt in the tank at any time t ≥ 0 is

s(t) = 1800 - 1750 exp(-t/150)

To find the time it takes for the tank to hold 100 lb of salt, solve for t in

100 = 1800 - 1750 exp(-t/150)

1700 = 1750 exp(-t/150)

34/35 = exp(-t/150)

ln(34/35) = -t/150

t = -150 ln(34/35) ≈ 4.348

So it would take approximately 4.348 minutes.

By the way, we didn't have to solve for s(t), we could have instead stopped with

-150 ln|1800 - s| = t + C

Solve for C - this C is not the same as the one we found using the other method. s(0) = 50, so

-150 ln|1800 - 50| = 0 + C

C = -150 ln|1750|

==> t = 150 ln(1750) - 150 ln|1800 - s|

Then s(t) = 100 lb when

t = 150 ln(1750) - 150 ln(1700)

t = 150 ln(1750/1700)

t = 150 ln(35/34)

t ≈ 4.348

5 0

2 years ago

Need help from 7-9 pls

expeople1 [14]

Answer:

b 5 a 6 b 7

Step-by-step explanation:

5 0

3 years ago

ANSWER ONLY IF YK IT IM GIVING CORRECT BRAINLIEST

wariber [46]

Answer:

-5(3x^3-1)

Step-by-step explanation:

-15x^3+5

Factor out -5

-5(3x^3-1)

4 0

3 years ago

Tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)

Kamila [148]

Note: your equation is a little bit unclear. Thus, I am assuming that

y = 2x+5

Anyway, the procedure remains the same. It would anyways clear your concept.

Answer:

We conclude that the ordered pair (2, 1) is a solution.

Step-by-step explanation:

Given the equation

$y = -2x+5$

Check for point (2, 1)

substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.

$y = -2x+5$

plug in x = 2 and y = 1

1 = -2(2)+5

1 = -4+5

1 = 1

R.H.S = L.H.S

TRUE

Therefore, the given ordered pairs satisifes the equation.

Hence, we conclude that the ordered pair (2, 1) is a solution.

6 0

2 years ago