Triple the difference between 32 and 19

In the typing world,80 words per minute is considered acceptable.how many words per 30 minutes is this

lukranit [14]

W = words per minute = 80
t = time in minutes = 30

The total number of words per 30 minutes is w*t = 80*30 = 2400 words

8 0

3 years ago

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

Antonio had his hair cut at the salon. After he returned home, he realized he had accidentally tipped the stylist 114% of the co

stepan [7]

=>C

1.14*20.95=23.883

5 0

2 years ago

A weather balloon is 100,000 feet above sea level, and a submarine is 15,840 feet below sea level, drectly under the weather bal

GarryVolchara [31]

$\text{Calculate how far apart the balloon and submarine are from each other}\\\\\text{We know that the balloon is 100,000 feet ABOVE sea level}\\\\\text{We also know that the submarine is 15,840 BELOW sea level}\\\\\text{To find the distance between each other, add the values, since they're}\\\text{farther apart since one's below sea level and one is above sea level}\\\\100,000+15840=115,840\\\\\boxed{\text{Answer: 115,840 feet apart }}$

5 0

3 years ago

Help please this i will mark brainliest please

solniwko [45]

Step-by-step explanation:

please complete your question

6 0

2 years ago