What is the scale factor?

Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Step-by-step explanation:

Given

[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]

[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]

The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]

vector opposite to the vector  [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]

[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Answer:

The answer is 14.525

Step-by-step explanation:

10. 347

+ 4. 178

_________

14 . 525

Thus, the answer is 14.525.

Answer:

10.168 mg

Step-by-step explanation:

Amount of caffeine in body = 110 mg

Decreases at the rate of rate of 18% per hour

how much caffeine will be in your bloodstream after 12 hours

After the first hour;

New amount = 110 - (0.18 * 110) = 90.2 mg

After the second hour;

New amount = 90.2 - (0.18 * 90.2) = 73.964 mg

After the third hour;

New amount = 73.964 - (0.18 * 73.964) = 60.65 mg

After the fourth hour;

New amount = 60.65 - (0.18 * 60.65) = 49.733 mg

After the fifth hour;

New amount = 49.733 - (0.18 * 49.733) = 40.78 mg

After the sixth hour;

New amount = 40.78 - (0.18 * 40.78) = 33.44 mg

After the seventh hour;

New amount = 33.44 - (0.18 * 33.44) = 27.4208 mg

After the eighth hour;

New amount = 27.4208 - (0.18 * 27.4208) = 22.485 mg

After the ninth hour;

New amount = 22.485 - (0.18 * 22.485) = 18.4377 mg

After the tenth hour;

New amount = 18.4377 - (0.18 * 18.4377) = 15.119 mg

After the eleventh hour;

New amount = 15.119 - (0.18 * 15.119) = 12.40 mg

After the twelfth hour;

New amount = 12.40 - (0.18 * 12.40) = 10.168 mg

Answer:

1938

Step-by-step explanation:

Answer:

1) The value of [tex]x[/tex] is 12.

2) The length of the diagonal is 49.

Step-by-step explanation:

1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex] (1)

We need some algebraic handling to determine the value of [tex]x[/tex]:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex]

[tex]5\cdot x - 2\cdot x = 25 +11[/tex]

[tex][5+(-2)] \cdot x = 36[/tex]

[tex]3\cdot x = 36[/tex]

[tex]x = 12[/tex]

The value of [tex]x[/tex] is 12.

2) If we know that [tex]x = 12[/tex], then the length of the diagonal ([tex]d[/tex]) is:

[tex]d = 2\cdot x + 25[/tex]

[tex]d = 49[/tex]

The length of the diagonal is 49.

Answer:

nosejgivuguvug7gug7g7g

Step-by-step explanation:

pol

Answer:

600 1/4 ft²

Step-by-step explanation:

Window is a 7 * 7 square array

Length per tile = 3 1/2 ft long

Dimension of entire array :

3 1/2 * 7 by 3 1/2 * 7

7/2 * 7 by 7/2 * 7

49/2 by 49/2

Recall : Area of a square = a² ; where a = side length

Area of entire array :

49/2 * 49/2 = 2401 / 4 = 600 1/4 ft²

Answer:

5.6× 10^ -6

.......................

Answer:

8 fifty cents coin.

Step-by-step explanation:

Let's assign variable for the unknown number of coins.

Let there are 'x' number of $1 coins

'y' number of 20 cent coins

'z' number of 50 cent coints.

Totally there are 26 coins.

So, x+y+z=26

Now, there are 6 more $1 coins than 20-cent coins.

We can set up equation for this as

x= y+6

Now, total value of these coins is $17.20

We can setup equation as

100 x+20 y+50 z=1720

Now, substitute x as y+6

100(y+6) +20 y+50 z =1720

Distribute the 100 to get rid ( )

100 y+600 +20 y+50 z=1720

Combine like terms

120 y+50 z= 1120

Keep this equation as it is.

Plug in x as y+6 into x+y+z=26

y+6+y+z=26

2y+z=20

Now, take the two equations

2y+z=20

120y+50z=1120

Multiply first equation by -60 to eliminate the y terms when we add them.

-120y-60z=-1200

120y+50z= 1120

-------------------------

     -10z =-80

Divide both sides by -10

z=8

Now, plug in z as 8 into 2y+z=20

2y+8 =20

Subtract both sides 8

2y=12

Divide both sides by 2

y=6

Now, plug in y, z values into the first equation.

x+6+8=26

x+14=26

Subtract both sides 14

x=12

So, there are eight 50-cent coins.

Answer:

The first one is D

Step-by-step explanation:

Answer:

First one is D neither .

second one is 3 .

third one is :

x intercept : -13/6

y intercept = 13

Answer:

The second option.

Answer:

its B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

going to the number "4" 3 dots down is 4,3

Answer:

25%

Step-by-step explanation:

20/80 = 2/8 = 1/4

1/4 = 0.25

0.25 x 100 = 25

so 25%

Answer:

0.25

Step-by-step explanation:

Divide 20 by 80

Answer:

v=10

Step-by-step explanation:

-4(v+1)=2(1-20)-6

step 1

distribute the -4 to v and 1 and distribute the 2 to 1 and --20

-4xv=-4v-4x1=-4      2x1=2 2x-20=-40

now we have -4v-4=2-40-6

step 2 combine like terms

the only like terms are -6 and -40 2

-6+-40+2=-44

now we have

-4v-4=-44

step 3 add 4 to each side

4+-44=-40

-4+4 cancels out

were left with

-4v=-40

the last step is to divide each side by -4

-4/-4 cancels out

-40/-4=10

in conclusions

v=10

have a great day :D

Answer:

p = 7.50h

I got this correct, the answer is A. p= 7.50h

Step-by-step explanation:

The answer would be d because every two hours someone works they get $15 and for the equation we must know how much they work for one hour so that it works with the equation (we'd have to simplify it down do how much paid up per hour). so half of 15 is 7.5 so the equation would be p=7.50h (standing for $7.50 per hour).

The correct answer is:  [D]:   " p = 7.50 h " .

________________________________________________

The pay, "p" , is a function of the hours worked.

When h = 2,  (h = number of hours);  

        the pay, "p" ,  is equal to " 7.50 * 2 "  = 15.00 dollars" ; as shown on table.

When h  = 4  ;  p = " 7.50 * 4 = 30.00 dollars" ; as shown on table .

When h = 6 ; p = " 7.50 * 6 = 45.00 dollars" ; as shown on table.

When h = 8 ; p = " 7.50 * 8 = 60.00 dollars" ; as shown on table.  

_____________________________________________________

Answer:

could you add the picture? then i will edit my answer to give you the actual answer

Step-by-step explanation:

Answer:

is there another number after the 7 if so if it is 5 or bigger it rounds up but 1-4 rounds down

Step-by-step explanation:

Answer:

0.23!! =D

hundredths (1/100)

Answer:

x = 3

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

Answer:

Length of height = 53.5 cm

Step-by-step explanation:

Given:

Area of trapezoid = 5,029 cm²

Length of longer base = 123 cm

Length of shorter base = 65 cm

Find:

Length of height

Computation:

Area of trapezoid = [(a+b)/2]h

5,029 = [(123 + 65)/2]h

5,029 = [(188)/2]h

5,029 = [94]h

Length of height = 53.5 cm

Answer:

(d+j) ÷8

Step-by-step explanation:

The general form of an equation of a circle with center at (a, b) and radius of length m is x² + y² - 2ax - 2by + (a² + b² - m²) = 0.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Here center is given as (a, b).

Radius is given as m.

Substituting,

(x - a)² + (y - b)² = m²

x² - 2ax + a² + y² - 2by + b² = m²

x² + y² - 2ax - 2by + (a² + b²) = m²

x² + y² - 2ax - 2by + (a² + b² - m²) = 0

Hence the required equation is, x² + y² - 2ax - 2by + (a² + b² - m²) = 0.

Learn more about General Form of Circle here :

https://brainly.com/question/10618691

#SPJ7

Aw that's really nice of you thanks

thank you <3 appreciate it loads

Answer:.

Step-by-step explanation:nearest hundredth the answer for this question is joe mama

Answer:

D 0.9988

Step-by-step explanation:

Answer:

A, B, C

Step-by-step explanation:

15x+45

3 (5x + 15)

5(3x +9)

15(x + 3)

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].

then plug in 2 for [tex]y[/tex].

now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

multiply 3 · 2.

add 10 + 6.

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

Answer:

$48

Step-by-step explanation:

Answer:48.1897 = 48.2

Step-by-step explanation: cos P= 3.8/5.7

P= cos-1 (3.8/5.7)

P=48.1897 = 48.2