divide the complex numbers

Answer:

2 times 8 = 16 divided by 3 leaves a remander of 1

Step-by-step explanation:

The smallest whole number is 22.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

Given:

First find the LCM of 7 and 3 .

LCM = 3 x 7 = 21

So, we will add remainder 1 (as given) to the LCM .

= 21+ 1

= 22

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2 sin²(x) + 3 sin(x) + 1 = 0

(2 sin(x) + 1) (sin(x) + 1) = 0

2 sin(x) + 1 = 0   OR   sin(x) + 1 = 0

sin(x) = -1/2   OR   sin(x) = -1

The first equation gives two solution sets,

x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ

x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ

(where n is any integer), while the second equation gives

x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ

2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0

2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0

(2 sec(x) + 1) (cot(x) + 1) = 0

2 sec(x) + 1 = 0   OR   cot(x) + 1 = 0

sec(x) = -1/2   OR   cot(x) = -1

cos(x) = -2   OR   tan(x) = -1

The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives

x = tan⁻¹(-1) + nπ = -π/4 + nπ

sin(x) cos²(x) = sin(x)

sin(x) cos²(x) - sin(x) = 0

sin(x) (cos²(x) - 1) = 0

sin(x) (-sin²(x)) = 0

sin³(x) = 0

sin(x) = 0

x = sin⁻¹(0) + 2nπ = 2nπ

2 cos²(x) + 2 sin(x) - 12 = 0

2 (1 - sin²(x)) + 2 sin(x) - 12 = 0

-2 sin²(x) + 2 sin(x) - 10 = 0

sin²(x) - sin(x) + 5 = 0

Using the quadratic formula, we get

sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2

but the square root contains a negative number, which means there is no real solution.

2 csc²(x) + cot²(x) - 3 = 0

2 (cot²(x) + 1) + cot²(x) - 3 = 0

3 cot²(x) - 1 = 0

cot²(x) = 1/3

tan²(x) = 3

tan(x) = ± √3

x = tan⁻¹(√3) + nπ  OR   x = tan⁻¹(-√3) + nπ

x = π/3 + nπ   OR   x = -π/3 + nπ

Answer:

A) Upper limit = 7.39

Lower limit = 6.37

Margin of error = 0.51

B)Sample size = 87

C) Upper limit = 2218.50

Lower limit = 1909.50

Margin of error = 154.50

Step-by-step explanation:

We are given;

x¯ = $6.88 per 100 pounds

σ = $1.98 per 100 pounds

n = 45

A) We want to find a 90% Confidence interval. It means the significance level is; 1 - 0.9 = 0.1

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 1.98)/√40

MOE ≈ 0.51

Confidence interval is;

CI = x¯ ± MOE

CI = 6.88 ± 0.51

CI = ((6.88 + 0.51), (6.88 - 0.51))

CI = (7.39, 6.37)

Upper limit = 7.39

Lower limit = 6.37

B) We are given E = 0.35

Thus;

E = zσ/√n

Rearranging, we have;

n = (zσ/E)²

n = (1.645 × 1.98/0.35)²

n ≈ 87

Sample size = 87

C)We are told that the farm brings 15 tons of watermelon to market.

Also, 1 ton = 2000 pounds

Thus;

15 tons = 15 × 2000 pounds = 30000 pounds

Now this is per 100 pounds.

Thus, we can write as: 30000/100 = 300 pounds

So;

x¯ = 300 × 6.88

x¯ = 2064

σ = 1.98 × 300

σ = 594

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 594)/√40

MOE ≈ 154.50

Confidence interval is;

CI = x¯ ± MOE

CI = 2064 ± 154.50

CI = (2064 + 154.50, 2064 - 154.50)

CI = (2218.5, 1909.5)

Upper limit = 2218.50

Lower limit = 1909.50

Answer:

0.625

Step-by-step explanation:

15 divided by 24 which equals 0.625

Answer:

Step-by-step explanation:

We need to calculate the speed of Jasmine first as shown:

Speed = Distance/Time

Given:

Distance = 12miles

Time = 20mins

Time = 20/60 hr

Time = 1/3 hr

Speed = 12/(1/3)

Speed = 12 * 3/1

Speed = 38mi/hr

From the formula:

S = d/t

To get the equation needed, substitute s = 36 into the formula:

36 = d/t

d = 36t

Hence the required equation is d = 36t where d is the distance in miles and time in hour

Answer:

36

Step-by-step explanation:

Answer:

690 km will take it.for good condition

Step-by-step explanation:

mark me BRAINLIEST

Answer:

$50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Use the Exemption amounts in Figure 2.2 on page 132 to find the (a) amount for exemptions and (b) annual state income taxes.

The exemptions are shown in the image below.

a) We can see that the exemptions for a married person is $4000 and $2000 per dependent. Since there are 2 dependents therefore:

Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)

Amount for exemptions = $4000 + $4000 = $8000

Amount for exemptions = $8000

b) Taxable wages = Annual gross pay - Exemptions

Taxable wages = $63840 - $8000 = $55840

Annual state income taxes = Taxable wages × State tax rate

Annual state income taxes = $55840 × 4% = $2233.6

Answer:

Step-by-step explanation:

at most 1.

8(3x - 6) = 6(x + 8)

24x - 48 = 4x + 48                   Subtract 4x

24x - 4x - 48 = 4x -4x + 48      Combine

20x - 48 = 48                           Add 48 to both sides.

20x = 96                                 divide by 20

x = 96/20

x = 4.8

No other answer is possible.    

Answer:

12.54

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

1. constant: 2

2. you can use slope intercept

3. 4 pounds equal 40 cents

4. because it is linear

Step-by-step explanation:

Answer:

1. p>10

open circle on 10 arrow pointing right

2. c<-2

open circle on 2 arrow pointing left

3. m<-50

open circle on -50 arrow pointing left

4. z<-7

open circle on -7 arrow pointing left

True.

When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.

Answer:

tell them that you would like them to reconsider your level in whatever class that is

Step-by-step explanation:

Answer:

Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.

Step-by-step explanation:

hope this helped

Answer:C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: yes because without the x the y does not have a corresonding oint

Answer:

put one point at (0,3)

put another point at (1,-3)

draw a line between them

Step-by-step explanation:

could u vote me brainliest plz? thx :)

The standard formula for calculating the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept of the line

Given the equation to graph expressed as g(x) = 3 - 6x

First, we need to get the x and y-intercept of the line expressed as:

For the x-intercept, y = 0

0 = 3 - 6x

6x = 3

x = 0.5

The x-intercept is at (0.5, 0)

For the y-intercept, x = 0

y = 3 - 6(0)

y = 3

The y-intercept is at (0, 3)

Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;

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Answer:

The flywheel rate of the flywheel is 4 revolutions per second.

Step-by-step explanation:

From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed ([tex]\dot n[/tex]), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:

[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)

Where:

[tex]n[/tex] - Number of revolutions done, measured in revolutions.

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]n = 60\,rev[/tex] and [tex]t = 15\,s[/tex], then the angular speed of the flywheel is:

[tex]\dot n = \frac{60\,rev}{15\,s}[/tex]

[tex]\dot n = 4\,\frac{rev}{s}[/tex]

The flywheel rate of the flywheel is 4 revolutions per second.

Answer:

The answer for that question is 4 per second

Step-by-step explanation:

Just put that answer i know it on your choices i looked up goodle for this answer so your welcome

Hope this help

Pls leave a thanks if it did

Answer:

1/3

Step-by-step explanation:

thats the slope so im assuming :/

Answer:

15

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

300 x 1 = 300

1 x 300 = 300

Answer: $1.25

Step-by-step explanation:

Let the cost of cracker be a.

Let the cost of cookies be b.

Let the cost of candy bars be c.

From the question,

6a + 6b + 6c = $21

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

To solve this, we first pick any two pairs of equation. This will be:

6a + 6b + 6c = $21 ....... i

8a + 5b + 10c = $26 ....... ii

Multiply equation i by 8

Multiply equation ii by 6

48a + 48b + 48c = $168 ....... iii

48a + 30b + 60c = $156 ....... iv

Subtract equation iv from iii

18b - 12c = 12

We then pick another two pairs

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

Multiply equation i by 5

Multiply equation ii by 8

40a + 25b + 50c = $130

40a + 32b + 56c = $148

Subtract the equations

-7b - 6c = -18

Then, solve the new equations formed

18b - 12c = 12 ....... v

-7b - 6c = -18 ....... vi

Multiply equation i by -7

Multiply equation ii by 18

-126b + 84c = -84

-126b - 108c = -324

Subtract the equations

192c = 240

c = 240/129

c = $1.25

From equation v, put the value of c

18b - 12c = 12

18b - 12($1.25) = 12

18b - $15 = $12

18b = $27

b = $27/18

b = $1.5

Since,

6a + 6b + 6c = $21

6a + 6($1.5) + 6($1.25) = $21

6a + $9 + $7.5 = $21

6a + $16.5 = $21

6a = $21 - $16.5

6a = $4.5

a = $4.5/6

a = $0.75

One candy bar cost $1.25

The cost of one candy bar is $1.5 and this can be determined by forming the linear equation with the help of given data.

Given :

Form the linear equation in order to determine the cost of one candy bar. Let 'x' be the cost of crackers, 'y' be the cost of cookies, and 'z' be the cost of candy bars.

So, the linear equation that represents the situation "A snack bag containing 6 of each type of snack costs $21.00" is:

6x + 6y + 6z = 21  --- (1)

The linear equation that represents the situation "A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00" is:

8x + 5y + 10z = 26  --- (2)

The linear equation that represents the situation "A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50" is:

5x + 4y + 7z = 18.50  --- (3)

Simplify all three equations in order to determine the value of 'x', 'y', and 'z'.

z = $1.25

y = $1.5

x = $0.75

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Answer:r/8>16

Step-by-step explanation:

r/8-16

It says 16 less, so we have to subtract 16 from r divided by 8.

That would be r/8-16.

Answer:

C) $5/1 ticket

Step-by-step explanation:

$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.

Answer:

1/500

Step-by-step explanation:

Answer:

1/5 i think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.

The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.

A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.

Given:

Point B is on the line segment AC, BC = 7 and AC = 11,

Write the expression for the above phrase as shown below,

The length of the AC = The length of AB + the length of BC

11 = 7 + The length of AB

The length of AB = 11 - 7

The length of AB = 4

Thus, The length of AB is 4.

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Answer:

The answer you chose is correct

Step-by-step explanation: