All categories

3 years ago

Is the following relation a function? (-2,-2) (2,8) (3,2) (3,1) (7,-5)

1 answer:

8 0

No it is not.
Function cannot have different outputs for the same input
(3,2) and (3,1) have the same input but different outputs, not a function

You might be interested in

Angle W and angle X are congruent. If their sum is 121 degrees, what is the measure of angle X?

____ [38]

Angle X = 60.5 degrees

6 0

3 years ago

Please i need help:/

guajiro [1.7K]

Answer:

the answer would be B or 358.38

8 0

2 years ago

What are the magnitude and direction of u+v+w ?

nevsk [136]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

<h3>How to determine the magnitude and the direction of a resultant</h3>

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

<h3>Resultant</h3>

$\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)$ (1)

<h3>Magnitude</h3>

$\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}$ (2)

<h3>Direction</h3>

$\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}$ (3)

Where $\theta$ is resultant angle, measured in degrees.

If we know that $\|\vec u\| = 90$ , $\theta_{u} = 40^{\circ}$ , $\|\vec v\| = 60$ , $\theta_{v} = 20^{\circ}$ , $\|\vec w\| = 40$ and $\theta_{w} = 30^{\circ}$ , then the resultant, its magnitude and its direction:

<h3>Resultant</h3>

$\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})$

$\vec r = (-54.824, 18.531)$

<h3>Magnitude</h3>

$\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}$

$\|\vec r\| \approx 57.871$

<h3>Direction</h3>

$\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)$

$\theta \approx 198.676^{\circ}$

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. $\blacksquare$

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/13322477

3 0

1 year ago

I have to show my work using the LCM strategy or fraction models.

Artyom0805 [142]

Answer:

1/2 or 0.5 in decimal

Step-by-step explanation:

you would want to make the 3/10 eqale to 20/100 like it has to have the same denominatior which is 10x10 and 3x10. because 10x10 eqal to 100, and what you do to the bottom you have to do the same on the top. and then you add which becomes 30/100+20/100=50/100 and 50/100 =1/2 if you simplfiy.

3 0

2 years ago

When 23 mL of water for injection is added to a drug-lyophilized powder, the resulting concentration is 200,000 units per mL. Wh

givi [52]

Answer:

2 mL

Step-by-step explanation:

Given:

Volume of water for injection = 23 mL

Resulting concentration = 200,000 units per mL

Amount of drug in the vial = 5,000,000 units

Now,

Let the final volume of the solution be 'x' mL

Now, concentration = $\frac{\textup{units of the powder}}{\textup{Total volume of the soltuion}}$

thus,

200,000 = $\frac{\textup{5,000,000}}{\textup{x}}$

x = 25 mL

also,

Total volume 'x' = volume of water + volume of powder

25 mL = 23 + volume of powder

Volume of powder = 2 mL

4 0

2 years ago