Find an ordered triple that represents 65 = (2, 6, 8) and Ž = (1, -2, 6).

Find An Ordered Triple That Represents 65 = (2, 6, 8) And = (1, -2, 6).

Answers

Answer 1

Answer:

< 40, 28, 72 >

Step-by-step explanation:

Given

y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then

6y + 4z

= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >

Multiply each component by the scalar quantity

= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >

= < 12, 36, 48 > + < 28, - 8, 24 >

Add corresponding components

= < 12 + 28, 36 - 8, 48 + 24 >

= < 40, 28, 72 >


Related Questions

Find the midpoint of the interval [-3, 6] along the number line.

Answers

Answer:

1.5 or 3/2

Step-by-step explanation:

The midpoint of the interval [-3, 6] along the number line is 1.5.

The midpoint of an interval is the point that lies exactly in the middle of the two endpoints.

To find the midpoint of the interval [-3, 6], we use the midpoint formula:

Midpoint = (Endpoint1 + Endpoint2) / 2

In this case, Endpoint1 is -3, and Endpoint2 is 6:

Midpoint = (-3 + 6) / 2

Midpoint = 3 / 2

Midpoint = 1.5

The midpoint of the interval [-3, 6] is 3/2. This means that the point exactly halfway between -3 and 6 on the number line is 1.5 units to the right of -3 and 1.5 units to the left of 6.

Visually, if you plot -3 and 6 on a number line, the midpoint 3/2 (or 1.5) would be located at the center, equidistant from both endpoints.

To know more about number:

https://brainly.com/question/30328809

#SPJ2

If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?

Answers

Answer:

6-7 dollars maybe?

Step-by-step explanation:

you didn't give a picture so Im just rounding

(sorry if I'm wrong)

You are raising money by holding a bake sale at school. You have a budget of $100 to set up the bake sale. You provide volunteers with $40 of materials. Each table that you plan to rent costs a flat rate of $10. How many tables can you rent?

Answers

Answer:

6  Tables

Step-by-step explanation:

100 = 10x + 40

60 = 10x

6 = x

good luck, hope this helps :)

6 tables

100-40=60

each table = 10

60 divided by 10=6

When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?

Answers

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?​

Answers

Answer:

Each costume will take 7 1/3 yards of green fabric

Step-by-step explanation:

They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.

Does anyone know composite functions?

Answers

Download Socratic , 9 times out of 10 you’ll get all the answers you’re looking for unlike on this app

PLEASE HELP I'M SOO CONFUSED AND IT'S DUE TODAY!!!!!!!!!!!!!...I HAVE A LOT OF WORK TO DO TODAY AND I JUST NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

2 Triangles with the bilateral of the sun to the 2nd power of pie

Step-by-step explanation:

I took the test ;)

-12 + 2t = - 14
Solve for t

Answers

Answer:

-1

Step-by-step explanation:

-12 + 2t = -14

12 + -12 + 2t = -14 + 12

2t = -2

2t/2 = -2/2

t = -1

OOPS my submitted answer was wrong.

Submitting this is so you can give other person points! :]

360 miles in 6 hours unit rate

Answers

Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

secA-tanA/secA+tanA=cos^2A/(1+sin^2A)​ could somebody prove this pls......

Answers

9514 1404 393

Answer:

  it cannot be proven

Explanation:

You cannot prove what isn't true.

We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.

A cylinder has radius 3.8 meters. Its volume is 159 cubic meters. Find its
height to the nearest tenth of a meter.

Answers

Answer:

Step-by-step explanation:

What is the quotient of 3/7 and 14?

Answers

Answer:

Answer down below

Step-by-step explanation:

If its 3/7 divided by 14 it is  3/98

If its 14 divided by 3/7 it is 98/3

Hope this helps

What is the equation for a line that passes through the points (-4,-3) and (8,12)?

Answers

Answer:

y = 1.25x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

( -4 , -3 ) ( 8 , 12 )

12 + 3   15 = 5

8 + 4    12 = 4

↑ slope = 5/4

↓ point slope form: y - y₁ = m ( x - x₁ )

y + 3 = 5/4 ( x + 4 )

y + 3 = 5/4x + 5

-3

y = 5/4x + 2


There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?

Answers

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

Answer: 262,144.

Step-by-step explanation: (26)3(20)

=(643)(20)

=262144(20)

=(262144)(1)

=262144

3/8÷5/2
..
..
.
.
.
.
.
.
.
.
.
.
.
.
.

Answers

Answer:

3/20

Step-by-step explanation:

Solve for x, Round to the nearest 100th if needed.
x13+18=49
x=?

Answers

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

so nearest 100 th would be 2.4

If using the method of completing the square to solve the quadratic equation
x²-10x – 15 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.

Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:

(x + y)2 = x2 + 2xy + y2 (Square of a sum)

(x − y)2 = x2 − 2xy + y2 (Square of a difference)

To find the roots of a quadratic equation in the form:

\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0,

follow these steps:

(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).

(ii) Rewrite the equation with the constant term on the right side.

(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.

(iv) Write the left side as a square and simplify the right side.

(v) Equate and solve.

Example 1

Find the roots of x2 + 10x − 4 = 0 using completing the square method.

Answer

Example 2

Solve 4x2 + x = 3 by completing the square.

Answer

Exercises

Solve the following quadratic equations by completing the square

Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s

2

+5s=3Answer

Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x

2

=3−4xAnswer

Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v

2

−6v−2=0Answer

Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0Answer

1. Solving Quadratic Equations by Factoring

3. The Quadratic Formula

x²-10x-15 = 0

x² -10x = 15

x² - 10x + 25 = 15 + 25

(x-5)² = 40

x = -2√(10) + 5
x = 2√(10) + 5

Someone please help!

Answers

Answer:

10=1x+25

slope=1

y-int-25

Thats all i know so far i will keep working on it

Step-by-step explanation:

Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?

A.
$2.55

B.
$2.65

C.
$3.35

D.
$3.65

Answers

Answer:

b. $2.65

Step-by-step explanation:

$10.00 - $7.35 = ?

$10.00 - $7.35 = $2.65

Answer:

your answer would be b. $2.65

Which quotient is greater than 3?

Question 4 options:

42 ÷ 19


40 ÷ 18


38 ÷ 14


36 ÷ 11

Answers

Answer:

36/11

Step-by-step explanation:

Answer:

36/15

Step-by-step explanation:

a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line

Answers

Answer:

Step-by-step explanation:

(27 - 23)/(8 - 4)= 4/4= 1

y - 23 = x - 4

y = x + 19

There are 120 counters in a bag.
40% of the counters are red.
3/8 of the counters are yellow.
The rest of the counters are green.
Find what fraction of the counters are green.

Answers

Answer:

9/40

Step-by-step explanation:

120 × ⅖ = 48

120 × ⅜ = 45

120 - 93 = 27

27/120 = 9/40

Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.

Number of Green counters

You can find the number of green counters by:

= Number of counters - Red counters - Yellow counters

= 120 - (120 x 40%) - (120 x 3/8)

= 120 - 48 - 45

= 27 green counters

Fraction of green counters

= Number of green counters / Total number of counters

= 27 / 120

To take it to the lowest term, divide both numbers by 3:

= 9 / 40

In conclusion, the fraction is 9 / 40.

Find out more about fractions at https://brainly.com/question/17743912.

A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out that 210 (21%) of the sampled individuals had not smoked in the past 6 months. What is the population, parameter, sample and statistic?

Answers

Answer:

Population is the total number of people that fall into the description of those that the research concerns.

In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.

Sample. This is a subset of the population that the research is based on.

Sample = 1,000 people surveyed.

Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.

Parameter = Percentage of total population who have not smoked in 6 months.

Statistic = 21% of sample who have not smoked in 3 months.

Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?

Answers

Answer: 5 2/6

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

3 1/3 + 2 1/3

10/3 + 7/3

= 17/3

= 5 2/3

I hope I helped!!

Which are the partial products for 8x362? Select all that apply.

Answers

Answer:

Are you guys classmates?

Is the following g relation a function?
-yes
-No

Answers

Given:

The arrow diagram of a relation.

To find:

Whether the given relation is a function or not.

Solution:

A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.

From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.

Since we have more than one value of y at x=-1, therefore, the given relation is not a function.

Hence, the correct option is B.

One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.

Answers

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

x = 5y - 6 This is just the first sentence written as an equation.

x + y = 60 This is just the second sentence written as an equation.

5y - 6 + y = 60 Substitute x for what you know it is equal to

6y - 6 = 60 Collect like terms

6y = 66 Add 6 to each side

y = 11 Divide each side by 6

x = 5 × 11 - 6 Substitute y for what you know it is

x = 55 - 6 Simplify by working out 5 × 11 = 55

x = 49 Subtract 6 from 55 to get 49

y=3x+−7

Find the slope.


A. 7




B. -7


C. 3x


D. 3

Answers

Answer:

D.3

Step-by-step explanation:

In the equation for a line in the form y=mx+c, m represents the slope.

Therefore the slope is 3.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + - 7 ← is in slope- intercept form

with slope m = 3

Find the missing leg?

Answers

Answer:

11

Step-by-step explanation:

13×13 = 169

17 × 17 = 289

289 - 169 = 120

Square root of 120 is 10.95

Round answer to 11

use the table to solve the equation -6x>18​

Answers

The answer is,

[tex]x < - 3[/tex]

Other Questions
help please with math At Ocean World, Wally the Whale uses800 Newtons of force to jump out of the water10 meters into the air. Wally does this trick fourtimes a day. He is able to get 10 meters high in3.5 seconds. How much work does Wally doeach day? What is his average speed with eachjump? can someone please help me help lol i cant read the text, please tell me how u did it too oxygenated blood flows from the heart through systemic circulation in which order? Which transition best fits the bank in the passage? Find dy/dx using logarithmic differentiation. y = (3 + x)^4/x , x>0 Can someone please help me!!! Ill mark brainliest!! Marco paid $12 for 3jump ropes. If each jump rope costs the same amount, how much does 1 jump rope cost? Write and solve an equation. Stephen discusses with his boss his initial ideas on how to approach his hosting duties. His boss claims he is on the right track, but that he should remember to build goodwill in his remarks. Stephen remembers that this will be the workers' introduction to him, so he needs them to trust him in the role of chief operating officer going forward. Although he will be introducing other speakers during the meeting, he doesn't want to get his goals confused. Select the statement that describes something Stephen should do for a goodwill speech.A. Stephen contacts his boss to ask him what information about himself he would like shared. B. Stephen speaks respectfully about his boss and his positive characteristics. C. Stephen tells the workers that he also believes in fairness and teamwork. D. Stephen conducts research to understand more about the corporate executives. Brandon buys a radio for $43.75 in a state where the sales tax is 7%.Part 1 out of 2How much does he pay in taxes? If necessary, round to the nearest cent What is the value of w? how continental effect temperature of pakistan I........to meet him twice, but he wasnt home.- was coming -coming -were coming -came Question pic (Will make brainliest) f(x) = -x + 2, find f(6) A 2 kg ball is thrown down with 50J of energy from a height of 10m, what is its velocity before it strikes the ground (neglect air resistance). ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale Lee el poema El nio y la mariposa de Rafael Pombo y luego responde las preguntas que aparecen al final del poemaPoema El nio y la mariposaPor: Rafael PomboMariposa, Vagarosa Rica en tinte y en donaire Qu haces t de rosa en rosa? De qu vives en el aire? Yo, de flores Y de olores, Y de espumas de la fuente, Y del sol resplandeciente Que me viste de colores Me regalas tus dos alas? Son tan lindas! te las pido! deja que orne mi vestido con la pompa de tus galas T, niito tan bonito, t que tienes tanto traje, Por qu quieres un ropaje que me ha dado Dios bendito? De qu alitas necesitas si no vuelas cual yo vuelo? qu me resta bajo el cielo si mi todo me lo quitas? Das sin cuento De contento El Seor a ti me enva; Mas mi vida es un solo da, No me lo hagas de tormento te divierte dar la muerte a una pobre mariposa? ay quizs sobre una rosa Me hallars muy pronto inerte. Oy el nio Con cario Esta queja de amargura, Y una gota de miel pura Le ofreci con dulce guio Ella, ansiosa, Vuela y posa En su palma sonrosada, Y all mismo, ya saciada, Y de gozo temblorosa, Expir la mariposa Ttulo del poema: El nio y la mariposa Autor: Rafael pombo 1.De qu trata el poema? 2.Qu crees que quiere expresar el autor? 3.Cuntas estrofas tiene el poema? 4.Cuntos versos tiene?5.Qu relacin encuentras entre el poema y la realidad?6.La figura literaria que sobresale en el poema es la Metfora, escribe un ejemplo tomado del texto. Where are some strategic locations