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WITCHER [35]
3 years ago
7

Q7 Q7.) Find the unit vector in the same direction as v.

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0
Use Pythagorean theorem:

9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80

now divide both terms in V by that:

u = 9/sqrt(80)i - 1/sqrt(80)j

see attached picture: 

Tju [1.3M]3 years ago
6 0
|v| = sqrt(9^2+(-1)^2)=sqrt(82)

u = v/|v| = 9/sqrt(82) i - 1/sqrt(82) j

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Carrie is comparing the growth of plants under natural and artificial light sources.
Elenna [48]

Answer:

Median :

P = 2 ; Q = 3.5

Variability :

P = 1.5 ; Q = 1.5

Step-by-step explanation:

The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;

For Group P:

Median = 2 inches

For Group Q :

Median = 3.5 inches

To infer the variability :

We calculate the interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot

Locate QI and Q3

Group P:

IQR = Q3 - Q1 = 3 - 1.5 = 1.5

Group Q :

IQR = Q3 - Q1 = 4.5 - 3 = 1.5

8 0
3 years ago
Which expression is equivalent to x + y + x + y + 3 [y + 5]
Alecsey [184]

Answer:

2x +5(y+3)

Step-by-step explanation:

this depends on what you want

x+y+x+y+3(y+5)

expanding this, we have;

2x +2y +3y+15

2x +5y +15

2x +5(y+3)

4 0
3 years ago
Anmol got 60 marks out of 80 marks in mathematics what percent marks did he get​
Kay [80]

Answer:

75%

Step-by-Step Explanation:

There are two ways to go about this.

1) We can simply put it as a fraction = 60/80.

  Then since a fraction sign also means division, we divide 60 by 80 = 0.75

  Then to change a decimal into a percentage, we multiply by 100% = 75%

  So our answer is 75%

2) We can simply it after it is put into a fraction = 60/80 = 3/4

   It should be common knowledge that 3/4 is 75% depending on what                 grade you are in.

But there you have it, whichever way you prefer, the answer is always 75%.

3 0
3 years ago
The price of a stock had a change of –3 dollars. explain how you would use a number line to find the absolute value of –3.
Naya [18.7K]
Draw out a horizontal line. Place 0 at the center. Then place evenly spaced tick marks on either side of 0. Label the right side of tick marks as 1, 2, 3, ... moving from 0 and going to the right

Label the left side of tick marks -1, -2, -3, ... starting at 0 and moving left

The location -3 on the number line is exactly 3 units away from 0. We start at 0 and move to -3 by moving 3 spots to the left; or we start at -3 and move 3 units to the right to get to 0.

Therefore, the absolute value of -3 is 3
Absolute value on a number line is the distance a number is from 0
The distance is never negative
5 0
3 years ago
Read 2 more answers
Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.
o-na [289]

Answer:

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

-7y^2 and y^2 are like terms because they have same variable y with same power 2.

-4p and p^2 are not like terms because they have same variable y with different powers.

0.5kt and -10kt are like terms because they have same variables kt with same power 1.

6 and 9 are like terms because both are constant.

5x and 5 are not like terms because one have variable and other is constant.

3ad and 2bd are not like terms because they have different variables.

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

7 0
3 years ago
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