All categories

3 years ago

Convert 6 qt/min to gallons per hour

Mathematics

2 answers:

Iteru [2.4K]3 years ago

7 0

The answer is 90 gallons per hour

Kisachek [45]3 years ago

7 0

Answer:

Step-by-step explanation:

See image below:)

You might be interested in

Use complete sentences to describe why √-1 ≠ -√1

tekilochka [14]

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

$\displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }$

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

$\displaystyle \large{ {a}^{2} = a \times a = |b| }$

Where b is the result from a×a. Let's see an example.

Examples

$\displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}$

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

$\displaystyle \large{ {y}^{2} = - 1}$

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

$\displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }$

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

$\displaystyle \large{ \sqrt{ {x}^{2} } = |x| }$

Solving absolute value always gives the plus-minus. Therefore...

$\displaystyle \large{ y = \pm \sqrt{ - 1} }$

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

$\displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }$

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

5 0

2 years ago

Read 2 more answers

How would I solve this equation by showing my worki on each side? X divided by 10= 7

Sav [38]

Answer:

x=70

Step-by-step explanation:

x/10=7

First you need to get the x by itself, so you should do the opposite of what is happening to the x.

In this case the x is being divided so you would need to multiply.

So multiply the x by 10 and this gets it by itself.

But you have to do to one side what you do to the other.

So multiply the other side by 10 as well!

This equals x=70

To show work on both sides, show the multiplication of both sides by 10

4 0

3 years ago

Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}681% compounded daily. Eli invested $49,000 in a

timofeeve [1]

Answer: 15856

Step-by-step explanation: 166786.9963 - 150930.6256

= 15856.3707

= $15856

6 0

2 years ago

Helpppppppp please it’s due today

yanalaym [24]

Answer:

Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)

8 0

3 years ago

Help me out, please!

VMariaS [17]

Answer:

y = 2/3(x - 3)

Step-by-step explanation:

slope of the line is 2/3

we can use point (3,0)

formula: y - y = m(x - x)

y - 0 = 2/3 (x - 3)

y = 2/3(x - 3)

5 0

2 years ago