. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.
O-29i+42j
O 10i-16j
O-4i + 7j
O2i+ 6j

Answers

Answer 1
5v+8w

put values

5(-i+2j)+8(-3i+4j)

Do like you do algebraic addition

-5i+10j-24i+32j-5i-24i+10j+32j-29i+42j

Option A


Related Questions

Ram, Shyam and Moha purchased biscuits of different brands P, Q and R. Ram purchased 10 packets of P, 7 of Q and 3 packets of R. Shyam purchased 4 packets of P, 8 packets of Q and 10 packets of R. Mohan purchased 4 packets of P, 7 packets of Q and 8 packets of R. If brand P costs € 4, Q costs € 5 and R costs € 6 each, then using matrix operation, find the amount of money spent by these persons individually.

Answers

The amount of money spent by these persons individually will be $ 93, $116, and $ 99.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.

Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.

Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.

Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.

If brand P costs € 4, Q costs € 5, and R costs € 6 each.

Then the amount of money spent by these persons individually will be

Then these are shown in the form of a matrix. Then we have

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]

Then the amount of money spent by these persons individually will be

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]

More about the matrix link is given below.

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Given a function described by the table below, what is y when x is 5?

X Y
2 6
4 8
5 9
6 12

Answers

Considering the table that describes the function, it is found that when x = 5, the value of y is of y = 9.

What does the table states?

The table representing the function states the value of y associated with each value of x.

Hence, considering the third line of the table, it is found that when x = 5, the value of y is of y = 9.

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A telescope company needs to choose a cardboard box to ship its product across the country. Use the information to answer each question below. Brainlest to whoever answers with work.

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

Is the triangle with the lengths of 6, 7, and 9 a right triangle? (show work using Pythagorean theorem) Need to write the numbers in and show the calculation for credit.

Answers

Answer:

no

Step-by-step explanation:

6^2+7^2=9^2

36+49=81

no its not a right triangle

please help me with this question

Answers

A. 168 explaination: 4* 3= 12 meaning 56 times 3 would be 168

Pleaseeee help school ends tmrw

Answers

Answer:

y=3x-23

Step-by-step explanation:

You have to distribute 3 and you get y+5=3x-18 and then move 5 over by subtracting it from each side you get y=3x-23 hope you enjoy your summer!

Answer:

C. y = 3x - 11

Step-by-step explanation:

Combine the y and 3

Add the 5 and 6 to get 11

Write the equation in standard form

Find the area of the Wrangle
The area of the triangle in square units 8 units 10 units

Answers

Answer:

The area is 40 units

Step-by-step explanation:

A board 4 feet 8 inches long she cut a board 56 inches long explain how you can convert one of the measurements so that both use the same unit

Answers

Answer:

4 feet = 48 inches

48 + 8 = 56 inches

Step-by-step explanation:

4 feet = 48 inches

48 + 8 = 56 inches

Neil pays 2.16 in postage to a frien he uses 40 cent stamps and 7cent stamps to 2.16 how many of each stamps did he use

Answers

4 40c ones and 8 7 cent ones

At a raffle100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25. What is the expected value of one ticket?

Answers

The expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, $1.75.

What is the expected value?

The expected value is used to calculate the weighted average of all the possible values of a random variable.

[tex]\sum_{i=1}^n=P_i\times V_i[/tex]

Here, P is the probability of winning a prize and V is the value of the price.

At a raffle, 100 tickets are sold at $2 each for three prizes valued at $100,$50 and $25. The probability of winning one person in 100 persons is,

[tex]P=\dfrac{1}{100}[/tex]

There are three prices of $100, $50 and $25. Thus, the ticket price expected to win is,

[tex]E=100\times\dfrac{1}{100}+50\times\dfrac{1}{100}+25\times\dfrac{1}{100}\\E=1+0.5+0.25\\E=1.75[/tex]

Thus, the expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, is $1.75.

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Of the variables affecting your auto insurance, are any of them truly random variables?

Answers

The true statement about auto insurance is : ( D ) Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.

What is Auto insurance ?

Auto insurance is a contract entered between a car owner or his representative with an insurance company, which protects the car owner from any financial losses arising from the damage or loss of the car. A premium is been paid as agreed between the car owner and the insurance company to keep the auto insurance active.

The premium amount varies from company to company.

In conclusion Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.

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three people P, Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. Determine the total fund?​

Answers

Answer:

Let x be the total fund

[tex] \frac{3x}{5} + \frac{2}{3}(x - \frac{3x}{5} ) + 8 = x [/tex]

3x/5 + 2/3(2x/5) + 8 = x

3x/5 + 4x/15 + 8 = x

9x/15 + 4x/15 + 120/15 = 15x/15

9x+4x+120=15x

-2x= -120

x=60£

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Answers

Answer:

x = 42°

Step-by-step explanation:

We have from figure

x + 48° = 90°

x = 90° - 48°

= 42°

HOPE THIS HELPS AND HAVE A NICE DAY <3

PLEASE HELP ILL GIVE 20 PTS!!!! What is the measure of an angle if it is 20 less than three times it’s own supplement?

Answers

An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees

If William spins a spinner and it lands on a "C" 4 out of 7 times, how many times would you predict the spinner will land on a "C" if he spun it 91 times?

Answers

Answer:

52 times

Step-by-step explanation:

Probability (C) = 4/7

Multiply with 13 :

C : total = 13 x 4 : 13 x 7 C : total = 52/91

This means that if he spun it 91 times, then the spinner would be predicted to land on C 52 times.

ANWER THIS CORRECTLY FOR BRAINLIEST (algebra)

Answers

Answer:

6202.73 cubic centimeters

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

diameter: 22.8 cmradius: diameter/2 - 22.8/2 = 11.4 cm

Volume:

4/3 π(radius)³

insert values

4/3 (3.14)(11.4)³

simplify

6202.73 cm³

Please help me ojn this question

Answers

Answer:

T4 = 162   T5 = 486    T6 = 1458

Explanation:

the pattern is multiply the previous number by 3

so 6 x 3 = 18

18 x 3 = 54

54 x 3 = 162 and so on.

In the "Depositions for the Boston Massacre Trials," who does Captain Thomas Preston blame for the massacre?
A. Himself
B. the Citizens
C. The Soldiers
D. God

Answers

Answer:

B. The citizens

Step-by-step explanation:

When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers

Hope this helps! ;-)

Brandi bought a total of 9 lb of flounder and shrimp and paid $12 for the flounder and $12 for the shrimp. If the price per pound of the shrimp is twice that of
the flounder, how many pounds of each did she buy?
Select one:
O a. 6 lb shrimp and 3 lb flounder
O b.
3 lb shrimp and 6 lb flounder
O c.
4.5 lb shrimp and 4.5 lb flounder
O d.
2 lb shrimp and 7 lb flounder

Answers

The Anwser is A!! I hope you get a good score love!!!

Add.

6 5/6 + (−6 1/5)

This is a fraction, not a whole number negative sum.

Enter your answer as a simplified fraction in the box.

Answers

Answer:

19/30

Step-by-step explanation:

had this in an old problem in school

:D

hi there! if someone could answer my question about angles that would be great! see the image attached.

Answers

Answer:

your missing angle is 136

Step-by-step explanation:

equation used: 360 - (136 + 88) = 136

please answer this question​

Answers

SOLUTION :-

PLEASE CHECK THE ATTACHED FILE

solve for x. Show each step of the solution x/16 = 3/8

Answers

Answer:

x = 6

Step-by-step explanation:

x/16 = 3/8

Step 1: Cross-multiply.

x/16 = 3/8

x*(8) = (3)*(16)

8x = 48

Step 2: Divide both sides by 8.

8x/8 = 48/8

*Ta da!*

x = 6

- Have a great day! -

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Answers

Answer:

147

Step-by-step explanation:

Supplementary angles add to 180 total.

x + y = 180

x + 33 = 180

x = 147

2. Use the figure to find angle measures. In the figure, m ll n and x ll y.




A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.

Answers

Answer:

See below ~

Step-by-step explanation:

A.

m∠5 = m∠10 (alternate angles)m∠10 = 69°

B.

∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°

C.

∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°

#1

m<5 and m<10 are alternative and equal

m<10=69

#2

They are supplementary

114+m<14=180m<14=180-114=66

#3

Alternate angles are equal

m<12=86

I didn’t understand


Please I need your help

Answers

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=\frac{2}{3}\\ y = 6 \end{cases}\implies 6=k\cfrac{2}{3} \\\\\\ 18=2k\implies \cfrac{18}{2}=k\implies 9=k~\hfill \boxed{y=9x} \\\\\\ when~x=10\frac{1}{3}\textit{ what is "y"?}\qquad y=9\left( 10\frac{1}{3} \right)\implies y=9\cdot \cfrac{31}{3}\implies y=93[/tex]

In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character

Answers

Answer:

A. Emperor is the main character

Step-by-step explanation:

I've read it before

A because as the novel begin it was talking about the emperor

What is the vertex of the function f(x) = one-halfx2 + 3x + three-halves?

(
,
)

Answers

Answer:

the vertex is (-3 , -3)

Step-by-step explanation:

[tex]\frac{1}{2} x^{2}+3x+\frac{3}{2}[/tex]

[tex]=\frac{1}{2} \left( x^{2}+6x+3\right)[/tex]

[tex]=\frac{1}{2} \left[ \left( x+3\right)^{2} -9+3\right][/tex]

[tex]=\frac{1}{2} \left( x+3\right)^{2} -3[/tex]

then the vertex is (-3 , -3)

May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i​

Answers

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

simplify

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

equate real, imaginary parts

This resolves to the two equations ...

5x -3y = 3x +1-5y -3x = 6y -2solve the system

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

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ack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below.



Part A. Jack takes out a marble, then without replacing it, he takes out another marble from the pouch. What is the probability that Jack takes out a green marble and then an orange marble? Make sure to show your work for credit.

Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles in Jack's jar of marbles. Make sure to show your work for credit.

Part C. Jack also likes to collect buttons. He has 5 bags of buttons. Some information about the number of buttons in each bag is provided below:

The fewest number of buttons in a bag is 21.
The greatest number of buttons in a bag is 29
The mean number of buttons in the bags is 27.
There are two modes for the number of buttons in each bag.

How many buttons are in each of Jack's five bags? (You should have 5 numbers) Make sure to show your work for credit.

Answers

Answer:

its b actually jack had 5 numbers for each button

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