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3 years ago

I need help asap !!!!!!!!

Mathematics

2 answers:

Marrrta [24]3 years ago

8 0

Answer:

Page 1: 2u - 3v = < -7, 1 >

Page 2: < -7, 9 >

Step-by-step explanation:

Page 1: Given u and v, we need 2u - 3v. With vectors, you can multiply both terms by any scalar (the coefficient, i.e. 2u, the 2 is the scalar)

2u = 2<1, 2> = <2, 4>

3v = 3<3, 1> = <9, 3>

So 2u - 3v = <2, 4> - <9, 3> = <2 - 9, 4 - 3> = <-7, 1>

Page 2: The same steps apply, but when you see i and j, the coefficient of the i term is the x value, and the coefficient of the j term is the y value, so

3u - 2v = 3< 1, 1> - 2<5, -3> = <3, 3> - <10, -6> = <3 - 10, 3 - (-6)> = <-7, 9>

Marrrta [24]3 years ago

7 0

Answer to Q1:

2u-3v = <-7,1>

Step-by-step explanation:

We have given two vectors.

u = <1,2> and v = <3,1>

We have to find 2u-3v.

2u-3v = ?

Vectors can be written as

u = i+2j and v = 3i+j

Putting values , we have

2u-3v = 2(i+2j)-3(3i+j)

2u-3v = 2i+4j-9i-3j

Adding like terms, we have

2u-3v = (2-9)i+(4-3)j

2u-3v = -7i+j

2u-3v = <-7,1> which is the answer.

Answer to Q2:

3u-2v = -7i+9j

Step-by-step explanation:

We have given two vectors.

u = i+j and v = 5i-3j

We have to find 3u-2v.

3u-2v = ?

Putting give values in above equation, we have

3u-2v = 3(i+j)-2(5i-3j)

3u-2v = 3i+3j-10i+6j

Adding like terms , we have

3u-2v = (3-10)i+(3+6)j

3u-2v = -7i+9j which is the answer.

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Rafael ha comprado 185,8 kg. de manzanas y 300,2 kg. de naranjas. ¿Cuánto más pesan las naranjas que las manzanas? ¿Cuánto pesa

Anon25 [30]

Answer:

a.114.4kg

b. 486kg

Step-by-step explanation:

Firstly , we want to know the value with which the apples weigh more than the oranges

To calculate this, we simply subtract the weight of the oranges from that of the apple

Mathematically, that would be ;

300.2-185.8 = 114.4kg

The total weight of the things bought is calculated by adding both weights together

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3 years ago

Serena has 3 3/5sq meters of wrapping paper for presents. Her grandmother has 1 1/2sq meters of wrapping paper. How much wrappin

levacccp [35]

Answer:

Total wrapping papers Serena and her grandmother = 51/10

Step-by-step explanation:

Serena's wrapping paper for parents:

$3\frac{3}{5}=\frac{18}{5}$ sq meters

Grandmother's wrapping paper:

$1\frac{1}{2}=\frac{3}{2}$ sq meters

In order to determine the combined wrapping papers for both Serena and grandmother, all we need is to add both.

i.e.

Total papers = Serena's wrapping paper + Grandmother's wrapping paper

$=\frac{18}{5}+\frac{3}{2}$

$=\frac{36}{10}+\frac{15}{10}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{36+15}{10}$

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Therefore, total wrapping papers Serena and her grandmother = 51/10

3 0

3 years ago

Identify the equation for the graph shown.

mario62 [17]

Answer:

Step-by-step explanation:

The graph shows a y-intercept of 5, and so D is the only answer that could be correct.

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3 years ago

The width of a rectangle is six meters less than three times its length. If the area of the rectangle is 105 square meters. what

Kipish [7]

Answer:

length = 7 meters

Step-by-step explanation:

l = length

w = width

w = 3×l - 6

l×w = 105 m²

l×(3×l - 6) = 105

3×l² - 6×l = 105

l² - 2×l = 35

l² - 2×l - 35 = 0

solution of a squared equation is

(-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = -2

c = -35

(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =

(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6

l1 = 1+6 = 7 meters

l2 = 1-6 = -5 meters, which did not make any sense for an actual object.

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3 years ago

The following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear

VladimirAG [237]

Answer:

Mean =25.78

Median =20

Step-by-step explanation:

given that the following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list.

40, 30, 6, 10, 30, 18, 15, 20, 36

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b) Median of this data set is the middle entry after arranging in ascending order

Here it would be the 5th entry

6,10, 15, 18,20, 30, 30, 36, 40

Median = 20

6 0

3 years ago