Solve a ship leave port and travel 21km on a bearing of 032° and then 45km on a bearing 287 calculate the distance and bearing of the port from the ship

The statement that best describes the association of these variables is larger groups tend to take less time to solve the puzzle.

A graph can be described as a pictorial representation of data.  A graph has a x axis and a y-axis. The x-axis in this graph is the number of people in the groups and the y-axis is the time it takes to solve the puzzle.

The graph slopes downwards. This indicates that as the number of people in the groups increase, the time it takes to solve the puzzle decreases.

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Answer:

Nonlinear association

Step-by-step explanation:

Please like if this helps :)

Step-by-step explanation:

Total number of people = 48 + 32 + 16

= 96

P(2 or more items) =

[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]

Answer

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

[tex]y = A \sin(Bx + C) + D[/tex]

Where

[tex]|A| = Amplitude[/tex]

And it is calculated as:

[tex]A = \frac{1}{2}[Highest - Least][/tex]

From the table:

Highest = 77 and Least = 21

So:

[tex]A = \frac{1}{2}[77 - 21][/tex]

[tex]A = \frac{1}{2}[56][/tex]

[tex]A = 28[/tex]

B is calculated as:

[tex]Period = \frac{2\pi}{B}[/tex]

The period is 12 i.e. 12 months

So:

[tex]\frac{2\pi}{B} = 12[/tex]

[tex]B = \frac{2\pi}{12}[/tex]

[tex]B = \frac{\pi}{6}[/tex]

C is calculated as:

[tex]\frac{C}{B} = -4[/tex]

[tex]C = -4 * B[/tex]

[tex]C = -4 * \frac{\pi}{6}[/tex]

[tex]C = -2 * \frac{\pi}{3}[/tex]

[tex]C = -\frac{2\pi}{3}[/tex]

Lastly, D is calculated as:

[tex]D = Least + A[/tex]

So:

[tex]D =21 + 28[/tex]

[tex]D=49[/tex]

So, the function is:

[tex]y = A \sin(Bx + C) + D[/tex]

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Answer:

y=28 sin (pi/6 t - 7pi/6)+49

Step-by-step explanation:

Answer:

2,6323

Step-by-step explanation:

Answer:

(If you need the actual explanations for each one, just ask in comments)

Step-by-step explanation:

1: D

2: G

3: A (60/100 = 6/10 = 3/5)

4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)

5: C (2:6 = 1:3; 3:9 = 1:3)

6: J (2:15 = 10:75; multiply each side by 5)

7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).

Answer:

20+20+24+24=88

88/2=44

88+44=132

Step-by-step explanation:

If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.

Answer:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]

Required

Solve

Express [tex]x^2-4[/tex] as difference of two squares

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Factorize [tex]x^4 - 2x^3[/tex]

[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Cancel out x - 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]

Expand [tex]x^2 - 3x - 10[/tex]

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]

Factorize:

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]

Factor out x + 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]

Cancel out x - 5 and x + 2

[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]

[tex]\frac{1}{x^3}\cdot 1[/tex]

[tex]\frac{1}{x^3}[/tex]

Hence:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Answer:

Dependant

Step-by-step explanation:

Its dependant because when you take out one chocolate another may fall and take its place.

Answer:

6x^2*(x+4)

Step-by-step explanation:

hope this helps! :)

Answer:

23,500

Step-by-step explanation:

They bought 3 tickets! Hope this helps :) ✨

Answer:

n < 2 or n > 9

Step-by-step explanation:

2n + 6(n - 1) < 10 or 3n - 2(n - 3) > 15

2n + 6n - 6 < 10 or 3n - 2n + 6 > 15

8n - 6 < 10 or n + 6 > 15

8n < 16 or n > 9

n < 2 or n > 9

Answer:

a^7 b^3

Step-by-step explanation:

The question can be interpreted as

[(a^9)( b ^10)] / [(a^2 )×( b ^7)]

Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have

a^(9-2) × b^(10-7)

We can simplify by performing substraction on the power

= a^7 b^3

Answer:

15

Step-by-step explanation:

its 90 degrees so the other side will be the same

Answer:

b=20

Step-by-step explanation:

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625-225

b^2 = 400

b = 20

Answer:

-6a +9b

Step-by-step explanation:

First distribute 3 to terms inside parenthesis

-6a + 9b

Final answer  -6a +9b

Answer:

Step-by-step explanation:

Its a geometric sequence: aₙ = a₁ rⁿ⁻¹

f(x) = aₙ

a₁ = a₂÷r = 12÷2 = 6

r = 2

x = n

Therefore:

               [tex]f(x) = 6(2)^{x-1}[/tex]

The sum of the fraction 5 1/6+2/3 is 5.83.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size.

5 1/6 + 2/3 = 5.83

An element of a whole is a fraction. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A fraction appears in the numerator or denominator of a complex fraction.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its types based on these two terms. The terminology used to calculate fractions the parts of a whole object.

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Answer:

Step-by-step explanation:

As per the graph we have:

Approximate perimeter of MNP is:

Option D is the only one greater than 22

Answer:

6/10  

9/15  

12/20

Step-by-step explanation:

Answer: 6/10, 3/5

Hope it helps!

Answer:

80

Step-by-step explanation:

14 × 20 = 280

1400 - 280 = 1120

1120 ÷ 14 = 80

Answer:

D

Step-by-step explanation:

when dealing with percentages move the decimal back two to get its absolute value

Time A:

Para obter a média temos que somar todos os pontos e dividir pela quantidade de pontos, ou seja, 20 + 17+ 25+ 25+ 13+

25+ 12+ 25+25 +23= 210/10= 21

A média do time A é 21 pontos.

Time B:

O mesmo procedimento,

25+ 25+ 9+ 10+ 25+

11+25+ 15+10 + 25= 180/10= 18

A média do time B é 18 pontos.

Answer:

Here is the answer

Step-by-step explanation:

On paper

Answer:

B

Step-by-step explanation:

4x12=48/2x2=B or 48

Answer:

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this is the answer.

Answer:

Yes

Step-by-step explanation:

10x + 2y > 3

Substitute the point into the inequality

10(4)+2(3) > 3

40+6>3

46>3

This is a true statement so the point is a solution

Answer:

(x - 8)^2 + (y + 6)^2 = 4.

Step-by-step explanation:

The general equation is:

(x - a)^2 + (y - b)^2 = r^2.

Plugging in the given values:

(x - 8)^2 + (y - (-6))^2 = 2^2

(x - 8)^2 + (y + 6)^2 = 4.