how do I answer this?

If u =(1+i√3) and v=(1-i√3), product uv is: D. 4.

To find the product of u and v let us simply multiply them together:

u = 1 + i√3

v = 1 - i√3

uv = (1 + i√3)(1 - i√3)

Using the difference of squares formula (a² - b² = (a + b)(a - b)) we can simplify the expression:

uv = (1 + i√3)(1 - i√3)

uv= 1² - (i√3)²

uv= 1 - (-3)

uv= 1 + 3

uv= 4

Therefore the product uv is equal to 4.

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Answer:

Step-by-step explanation:

29 ft

7  in

Answer:

Step-by-step explanation:

jnow colata

The percent of the total time teens spend using the Internet and doing chores is the time they spend listening to the radio is 55.56%.

Time spent using the internet = 4 hours

Time spent doing chores = 4 hours

The time spent listening to the radio = 10 hours

The total time spent during the week is 4 + 4 + 10 = 18 hours

The percentage of this total time that is spent listening to the radio is:

(10 hours / 18 hours) x 100% =55.56%

This is basic arithmetic operations and is used in calculation of numbers.

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Answer:

-15

Step-by-step explanation:

Answer:

y >20

Step-by-step explanation:

I put your question into a math calculator and this is what I got. :)

Answer:

.20x = 72, so x = 360

.30(360) = 108

Answer:

True

Step-by-step explanation:

As long as the set of points have different x values then it is considered to be a function

The given set of points all have different x values therefore it is a function

Answer:

it will take her 30 minutes long

Answer

30 minutes

Step-by-step explanation:

6 is half of 12 and Nancy is moving 12 mph. half of an hour is 30 minutes so the answer would be 30 minutes.

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

2^2* 5^2.

Step-by-step explanation:

2)100

2)  50

5) 25

      5

100 = 2*2*5*5.

= 2^2* 5^2.

Answer:

a

Step-by-step explanation:

Answer:

A line that is perpendicular to another is one that has a slope that is the multiplicative reciprocal of the original funtion's slope and it also has the opposite sign in front. Considering a slope with a value of \(\dfrac{1}{7}\), the reciprocal multiplicative is 7, because is a number that equals 1 if multiplied by the original value. Then, we change the sign for it, making it -7.

Thus, correct answer is a. -7.

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Part a; compounded semiannually (n = 2); CI =  $6,390.

Part b: compounded quarterly ( n = 4) ; CI =  $6,425

Part c: compounded monthly (n = 12): CI =  $6,450

Part d: compounded continuously; CI =  $6,467.

The compound interest is calumniated by formula.

A = P(1 + r/100n)∧nt

In which,

A  = amount after compounding

P = principal amount  ($20,000 )

n = number of time principal amount compounded in a year.

t = total time in years (7 years)

r= rate of interest (4%)

Part a; compounded semiannually (n = 2)

A = P(1 + r/100n)∧nt

A = 20,000(1 + 4/200)∧(2x7)

A = 26390

CI = A - P

CI =  26,390 -  20,000

CI =  $6,390.

Part b: compounded quarterly ( n = 4)

A = 20,000(1 + 4/400)∧(4x7)

A = 26425

CI = A - P

CI =  26,425 -  20,000

CI =  $6,425

Part c: compounded monthly (n = 12)

A = 20,000(1 + 4/1200)∧(12x7)

A = 26450

CI = A - P

CI =  26,450-  20,000

CI =  $6,450

Part d: compounded continuously.

P = P₀e∧rt

P = (20,000)(2.72)∧(0.04 x 7)

P = 20,000 x 1.32

P = 26,467

CI =  26,467 - 20, 000

CI =  $6,467.

Thus, the for compounded continuously is $6,467.

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The first installment is of Rs 2 and last is of Rs 13122 calculated using the geometric Series Formulae.

Let us take x as the first installment.

The second installment will be 3x as per the given statement in the question.

So likewise the installment will be increasing 3 times each in every installment. It forms geometric series.

\(x+3x+9x+12x.....+3^{9-1}\)= 19682----------Eq 1

\(x(1-3^{9} )/1-3\) =19682

Sum : Sn= a1 (1-\(r^{n}\))/(1-r)

               = x(1-\(3^{9-1}\))/1-3

                Taking - sign common from it

                = \(3^{9} -1 /2=19682\)

                 9841 x=19862

                  x=2

According to the last term in the Eq 1 it is equal to = \(3^{9-1} .2\)=13122

So the first installment is of Rs 2 and last is of Rs 13122.

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The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer: Bethan: 15:30, Sioban: 8km

Hope this helps!!!!!

Answer:

a)15:30

b)16 km  

Step-by-step explanation:

Well, for "a", we notice that each box measures 30 minutes since there is a 4 box gap between 8:00 and 10:00. That's a 2-hour gap. 2 hours divided by 4 is 30 minutes. Meaning, that each box represents 30 minutes. So,  Bethan arrives home at 0 km, which is at 15:30.

For "b", Siobhan goes to school when the graph is straight since school lasts a long time. That's at 8km. He goes there from 0 km, so it takes 8 km to get to school and 8 km to leave and go home. 8km + 8km is 16km, so it takes 16km.

Answer:

17.5ml- of 10 percent solution, 17.5ml- of 20 percent solution

Step-by-step explanation:

35:100*15=5.25- ml of alkali in the base solution

Suppose we need x ml of 10 percents solution and 35-x - of 20 percents.

Then The quantity of alkali in the first one (10 percents) is x/100*10=0.1x

when in the second one we have (35-x)/100*20= 7-0.2x of alkali

0.1x+7-0.2x=5.25

7-0.1x= 5.25

0.1x=1.75

x=17.5- 0f 10 percents

35-17.5=17.5 - of 20 percents

We can conclude that the result of the line integral applying Green's theorem is = 5/3 .

Given :

Use Green's Theorem to evaluate the line integral along the given positively oriented curve. ( 5y + 9evx ) dx + ( 10x + 7 cos(y^2 )) dy C is the boundary of the region enclosed by the parabolas y = x^2 and x = y^2 .

y = x^2 , x = y^2 , y = \(\sqrt{x}\) , \(x^2 = \sqrt{x}\) , x^4 = x

x ( x^3 - 1 ) = 0

= [ 5 2/3 x^3/2 - 5x^3/3]

= 5 * 2/3 * 1^3/2 - 5 * 1^3 / 3

= 10/3 - 5/3

= 5/3

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Answer:

96

Step-by-step explanation:

12 colors times 2 possibilities of with or without air conditioning is 24.

24 times two possibilities of with or without automatic transmission is 48.

48 times two possibilities of with or power windows is 96.

96 times two possibilities of with or CD player is 192.

Answer:

1.A+B=2y²+3x-x²+3x²-y²=y²+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²

The Pythagorean triples here are; 3, 4, 5. Option 1

We define a Pythagorean triple as a^2+b^2 = c^2 where a, b and c are the three positive integers. Given that we can find the Pythagorean triple from; (x2 - y2)2 + (2xy)2 = (x2 + y2)2

Where; x = 2, y = 1

Substituting values have;

(2^2 - 1^2)^2 + (2*2*1)^2 = (2^2 + 1^2)^2

This results to;

3^2 + 4^2 = 5^2

9 + 16 = 25

25=25

Therefore the Pythagorean triples here are; 3, 4, 5. Option 1

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The most likely be included in the magazine article that follows this introduction is A. examples of radio programs

A radio program, radio programme, or radio show is a piece of content designed for radio broadcast. It could be a one-time production or part of a recurring series.

Headphones are ubiquitous! People are trapped in their downloaded music worlds, relying on their personal music libraries for entertainment. They are thus ignoring a diverse world of radio offerings that could enrich and entertain them. Local radio stations broadcast music and news, whereas National Public Radio (NPR) broadcasts debate and entertainment for people of all ages.

Based on the information given, it should be noted that after the introduction, the next thing is to simply give the examples of the radio shows. This is important in order to buttress the introduction.

In conclusion, based on the information, the correct option is A.

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Answer:

Step-by-step explanation:

a  i was told by my teacher

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer:

A = W² + 6W

Step-by-step explanation:

The width is W.

The length is 6 units greater than the width, so the length is W + 6.

The area is the product of the length and width.

A = (W + 6)W

A = W² + 6W

Answer:

The  value is \(G = 0.81 \%\)

Step-by-step explanation:

From the question we are told that

    The distance between a and b is  e =   9.0 map unit

    The distance between b and  c is  f = 30 map unit

      The interference in this chromosomal region is L  = 70% =  0.7

Gnerally the  first single cross-over in this chromosomal  region  is mathematically represented as

        \(k = \frac{e}{100} \%\)

=>    \(k = \frac{9}{100} \%\)

=>    \(k = 0.09 \%\)

Gnerally the  first single cross-over in this chromosomal  region is mathematically represented as

        \(J = \frac{f}{100} \%\)

=>    \(J = \frac{30}{100} \%\)

=>    \(J = 0.30 \%\)

Gnerally the expected double cross-over in this chromosomal  region  is mathematically represented as

       \(D = k * J\)

=>   \(D = 0.09 * 0.30\)

=>   \(D = 0.027\)

Generally the coefficient of  coincidence is mathematically represented as

      \(C = 1 -L\)

=>   \(C = 1 -0.7\)

=>   \(C =0.3\)

Generally this coefficient of  coincidence can also be mathematically represented as

     \(C = \frac{G}{D}\)

Here G is  the probability of a double crossover (the observed double cross over)

So

     \(0.3 = \frac{G}{0.027}\)

=>  \(G = 0.0081\)

Converting to percentage

     \(G = 0.0081 * 100\)

     \(G = 0.81 \%\)

Answer:

1.8

Step-by-step explanation:

Answer:

the amount borrowed is ≅ $527

Step-by-step explanation:

Given that;

simple interest rate r = 180%  p.a

Let the amount borrowed (principal) be $x.

time t  = 4 weeks = 28 days

= 28/365 year

= 0.0767 year

we all know that :

\(Simple \ \ interest = \dfrac{P*r*t}{100}\)

\(Simple \ \ interest = \dfrac{x*180*0.0767}{100}\)

Simple interest = 0.13806x

Total amount to be paid after 4 weeks= Interest+Principal

= x + 0.13806x

= 1.13806x

Thus;

1.13806x = $600

x = $600/ 1.13806

x = $527.21

Hence; the amount borrowed is ≅ $527