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Dennis_Churaev [7]
2 years ago
9

Which of the following expressions represents the distance between -13 and -4 on a number line

Mathematics
1 answer:
lesya692 [45]2 years ago
6 0

Answer:

<h2>a) |-13 - (-4)|</h2>

Step-by-step explanation:

The formula of a distance between two points (numbers) A and B on the number line:

d = |B - A| = |A - B|

We have A = -13 and B = -4. Substitute:

d = |-13 - (-4)|

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Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
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Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

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So resulting volume of tank at time t = 400 gallons

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= 0 - \frac{Q(t)}{400}

i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

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2 years ago
Oil prices are projected to increase by 100% by next June. A quart of oil currently costs $2.45. What is the projected cost of a
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Answer:

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A fraction consists of two whole numbers, a number that is above the fraction line which is the Dividend, while the number that is below the fraction line is known as the denominator and is the divisor. The result or the answer which we get when we solve the fraction is the factor or can be said, it is the quotient of the operation.

Suppose there is a fraction, a/b which is equal to c, then,

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