If
x
=
2
and
y
=
6
, evaluate the following expression:
2
(
y
−
x
)

[tex]\boxed{35}~~ \begin{cases} I=2-7j\\ Z=4-3j \end{cases}\implies E=(2-7j)(4-3j) \\\\\\ \begin{array}{rllll} 4-3j\\ \times ~\hfill 2\\[-0.5em] \hrulefill\\ 8-6j \end{array}~~+ ~~ \begin{array}{rllll} 4-3j\\ \times ~\hfill -7j\\[-0.5em] \hrulefill\\ -28j+21j^2 \end{array}\qquad \implies 8-6j-28j+21j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=21j^2-34j+8~\hfill[/tex]

[tex]\boxed{36}~~ \begin{cases} I=3+10j\\ Z=6-j \end{cases}\implies E=(3+10j)(6-j) \\\\\\ \begin{array}{rllll} 6-j\\ \times ~\hfill 3\\[-0.5em] \hrulefill\\ 18-3j \end{array}~~+ ~~ \begin{array}{rllll} 6-j\\ \times ~\hfill 10j\\[-0.5em] \hrulefill\\ 60j-10j^2 \end{array}\qquad \implies 18-3j+60j-10j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=-10j^2+57j+18~\hfill[/tex]

[tex]\boxed{\sf E=Pt}[/tex]

E is energy

P is power

t is time in hours

Cost

Answer:

$0.12

Step-by-step explanation:

Conversions

  1000 watts = 1 kilowatt-hour
  ⇒ 1200 watts = 1.2 kilowatt-hour

  60 minutes = 1 hour
  ⇒ 30 minutes = 0.5 hour

A microwave requiring 1200 watts will use 1.2 kilowatts per hour.

If the microwave is used for a total of 30 minutes, it will use:

⇒ 1.2 × 0.5 =  0.6 kWh

If the cost is $0.20 per kWh, the cost of running the 1200 watt microwave for 30 minutes is:

⇒ 0.6 × $0.20 = $0.12

Answer:

[tex]\sqrt{81}[/tex] = 9

[tex]\sqrt{169}[/tex] = 13

Step-by-step explanation:

Answer:

Perimeter = (Length + Width)×2

=(17.8cm + 4.6cm)×2

=(22.4 × 2)cm

= 44.8cm

Answer:

Step-by-step explanation:

slope m = Δy/Δx = (6 - (-6)) / (2 - (-4)) = 12/6 = 2

b is the y intercept when x = 0.

b = 2

y = 2x + 2

Answer:

C

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.

A.

1, 2, 4, 6, 8, 10, ...

2/1 = 2

4/2 = 2

It looks like the common ratio is 2, but try the next division: 6/4 = 3/2

It is not 2, so there is no common ratio, and this is not a geometric sequence.

B.

-1, 0, 1, 2, 3, ...

0/-1 = 0

1/0 = undefined

There is no common ratio.

C.

-2/2 = -1

2/(-2) = -1

-2/2 = -1

The common ratio is -1.

This is a geometric sequence.

D.

3/5 = 3/5

1/3 = 1/3

No common ratio.

Answer: C

a.

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

b.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

c.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

d.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

https://brainly.com/question/17997145

Step-by-step explanation:

a= 3×(-2)+3=-6+3=3

b=3×(-1)+3=-3+3=0

c=3×1+3=3+3=6

d=2×3+3=6+3=9

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

a=3, b=0, c=6, d=9

Good work!

Answer:

With discount : $37.76

With tax : $56.38

With both : $40.19

Step-by-step explanation:

Hope this helps

Answer:

664

Step-by-step explanation:

666 balls to make a full pack

666x3=1998

6000-1998=2

666-2=664

5−8

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Answer: The answer is to this math question is 18.75% of the students play the soccer after school.

Step-by-step explanation: Here are the following steps in order to convert the given fraction to percentage of the students play the soccer after school:

Step 1. First I add the total of the students in school and then added the total of the students play the soccer after school that looks like this: [tex]163+157=320[/tex] and [tex]27+33=60.[/tex]

Step 2. Using the online fraction to percentage calculator, first I find The Greatest Common Factor of 60 and 320 that looks like this: GCF(60,320) = 20.

Step 3. I can reduce this fraction by dividing both the numerator and denominator by 20 that looks like this: 60÷20/320÷20=[tex]\frac{3}{16}.[/tex]

Step 4. I know that [tex]\frac{3}{16}[/tex] is the same as 3÷16, then using The Long Division for 3 divided by 16 that gives us: 0.1875.

Step 5. I multiply the given decimal number by 100% in order to convert the fraction to percentage of the total students play the soccer after school that looks like this: 0.1875×100=18.75%.

I hope that my given answer with my given step-by-step explanation is very helpful to your own math question about how to find the percentage of the total students play the soccer after school, please mark me as brainliest and have a great P.A. Day and weekend! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of The TDSB and WHCI Student of the high school.

Answer:

y=−2x−10

Step-by-step explanation:

Answer:

x=-21

Step-by-step explanation:

make the equation

2x+9x-1+40=6(x-11)

simplify

11x+39=6x-66

solve

5x=-105

x=-21

The conversion of the following values to their desired units are as follows:

The dimension analysis shows the relation of different physical quantities by converting them from one unit to another.

According to the standard conversion rates:

∴

4 gallons will be:

= (4 gal × 4 quarts)/1 gal

= 16 quarts  

1400 feet will be:

= (1400 foot ×  0.000189394 miles)/ 1 foot

= 0.2651516 miles

16 hours will be:

= (16 hours × 60 mins)/ 1 hour

= 960 mins

16 cups will be:

= (16 cups × 0.5 pints)/1 cup

= 8 pints

1.6 miles will be:

= (1.6 miles × 1760 yards)/ 1 mile

= 2816 yards

Learn more about conversion rates here:

https://brainly.com/question/13129151?referrer=searchResults

Answer:

Unsure but it might be -8/3

Step-by-step explanation:

Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times

Step-by-step explanation: Please mark brainliest

Answer:

75 -- i think

Step-by-step explanation:

let me know if im right.

Step-by-step explanation:

when using similar processes to converting from smaller to large units. When converting a large unit to a smaller one, you can multiply;when you convert a smaller unit to large one, you can divide.

Answer:

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial.

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

When cubes are added or subtracted, they can be expressed using the following

Answer:

7

Step-by-step explanation:

Working backwards:

19 + 9 = 28

28/ 4 = 7

Checking work:

7 x 4 = 28

28 - 9 = 19

Answer:

x = 10

Step-by-step explanation:

RO and OQ are congruent

Since RO = 50, and RQ = 12x - 20,

OQ = 12x - 20 - 50 = RO

50 = 12x - 70

120 = 12x

x = 10

-Chetan K

The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:

Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

Learn more in https://brainly.com/question/15462248

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60

Answer: hi , b other one b too

Answer:

19) b

20) b

Step-by-step explanation:

Answer:

First drop down: √4 and √9

Second drop down: 2 and 3

Third drop down: 10 and 15

Step-by-step explanation:

the root of four is 2

the root of nine is 3

thus √ 7 is between 2 and 3

5√7 is between 10 and 15 because 2x5 is 10 and 3x5 is 15.