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3 years ago

Algebra 1 Honors

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

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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

Setler79 [48]

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

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 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

A(0) = Q(0) = 70 lbs.

7 0

3 years ago

Which of the following statements is false?

kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

$\frac{1}{4} + \frac{1}{5} = \frac{9}{20}$

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0

3 years ago

What is the perimeter of the mural 9 feet and it area 72 square feet

melomori [17]

Perimeter: 9+9+8+8= 34 ft.
Area: 9*8= 72 ft²

5 0

3 years ago

Read 2 more answers

Alaska has a land area of about 1,700,000 km² Florida has a land area 1/10 the size of Alaska what is the land area Florida

ElenaW [278]

1/10 of 1,700,000 km² is 170,000 km² .