1+√3+1-√3
1 * 604 * 909 ​

On solving the provided question we can say that the equation gives us  101.77 mi S; 63.59 mi W and S 39.4° W; 131.7 nautical miles

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence.

The ship will have traveled 120 nautical miles in the six hours between noon and six o'clock using the formula distance = speed time distance (20 nm/h) (6 h).

The location of the ship will be in (S, W) coordinates.

\(120(cos(32), sin(32)) ≈ 120(0.848048, 0.529919) ≈ (101.77, 63.59)\)

The ship will have traveled 101.77 miles south and 63.59 miles west.

83.59). The distance from port will be ...

\(d = √(101.77^2 +83.59^2) = 131.7\\ arctan(83.59/101.77) ≈ 39.4\)

The bearing and distance are ...

S 39.4° W

131.7 nautical miles

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Answer:

a = 36°

b = 144°

Step-by-step explanation:

Number of sides = n = 10

Sum of interior angles = (n - 2) × 180°

                                     = (10 - 2) × 180°

                                     = 8 × 180°

                                     = 1440°

Interior angle = b = sum of interior angles ÷ number of sides

                          b = 1440 ÷ 10

                          b = 144°

              a + b = 180° (Sum of angles in the straight line)

         a + 144° = 180°

a + 144° - 144° = 180° - 144°

                    a = 36°

Number of sides = 10

Exterior angle = a = 360° ÷ Number of sides

                           a = 360° ÷ 10

                           a = 36°

            a + b = 180° (Sum of angles in the straight line)

        36° + b = 180°

36° + b - 36° = 180° - 36°

                 b = 144°

This problem is about the rule of three.

The given ratio is 20 minutes for 3 tasks done. We need to find the number of taks done after 8 hours.

First, we know that 1 hour is 60 minutes, so the total number of minutes is

Now, the rule of three is about the total number of tasks done after 480 minutes, if three tasks take 20 minutes only.

Answer:

28.5 units²

Step-by-step explanation:

Shape 1 - ( length * width ) 3*5 = 15

Shape 2 - ( length * width ) 3*3 = 9

Shape 3 - ( height * base / 2 ) 3*1.5 = 4.5

The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

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Sophia did Calculus test better ompared to the rest of her class, as her z-score for Statistics  was lower than her z-score for Calculus

We know that the formula for the z-score is: \(z=\frac{x-\mu}{\sigma}\)

where x is the observed value

μ is the mean of the sample

σ is the standard deviation of the sample

Sophia got a 95% on her statistics. The grades had a mean of 87%, with a standard deviation of 7%

So, her z-score for statistics would be:

\(z_s=\frac{95-87}{7}\\\\z_s=1.14\)

She got a 91% on her calculus mid-term. The grades had a mean of 85%, with a standard deviation of 47%

So, her z-score for statistics would be:

\(z_c=\frac{91-85}{4}\\\\z_c=1.5\)

Since her z-score for Statistics  was lower than her z-score for Calculus,  she did Calculus test better.

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Answer:

A.(4,7)

Step-by-step explanation:

2x+3y=29

2*4+3y=29

8+3y=29

3y=29-8

3y=21

y=7

Answer:

A

2(4)+3y=29

8+3y=29

3y=21

3 divide by 21

y=7

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

B

Step-by-step explanation:

To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.

Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).

Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.

Thus, the value of z when the area to the right of z is 0.5 is 0.

Therefore, the correct option is b. 0.0000.

Answer:

i dont know sorryyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

To solve a system of inequalities, find values of x and y satisfying both equations, simplifying and dividing by -1, resulting in x = 4 - 2y and y ≤ 5.

To find the solution of the system of inequalities, we need to find the values of x and y that satisfy both equations.

First, let's solve the equation x + 2y = 4 for x:
x = 4 - 2y

Now, let's substitute this expression for x in the second inequality:
y ≥ - (4 - 2y) - 1

Simplifying the inequality:
y ≥ -4 + 2y - 1

Combining like terms:
y - 2y ≥ -4 - 1

Simplifying further:
-y ≥ -5

Dividing both sides of the inequality by -1 (note that we need to reverse the inequality sign when dividing by a negative number):
y ≤ 5

So, the solution of the system of inequalities is x = 4 - 2y and y ≤ 5.

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Answer:

(0,5) (1/2, -1) (1, 3)

Step-by-step explanation:

We basically plug in all of these points.

(0,0) --> 0=8(0)-5 <-- This is not true, because 0 ≠ -5

(0,5) --> -5=8(0)-5 <-- This is true, because -5 = -5

(1/2, -1) --> -1=8(1/2)-5 <-- This is true because -1 = -1

(8, -5)  --> -5=8(8)-5 <-- This is not true because -5 ≠ 59

(1, 3)  --> 3=8(1)-5 <-- This is true because 3 = 3

The 85% confidence interval that the true mean number of words a third grader can read per minute is between 30.131 and 30.869.

To create a confidence interval for the mean number of words a third grader can read per minute, an educational psychologist wishes to know the mean number of words a third grader can read per minute. She intends to produce an estimate at an 85% level of confidence.

For a sample of 146 third graders, the mean words per minute read was 30.5. Assume a population standard deviation of 3.1.

To create a confidence interval, the following formula can be used:

µ±z_α/2*σ/√n

Here, we are given the following details:

Sample size: n = 146

Mean: µ = 30.5

Population standard deviation: σ = 3.1

Level of confidence: α = 1 - 0.85 = 0.15

We need to determine the critical value of z_α/2.

α/2 ⇒ 0.15/2 ⇒ 0.075

Using a standard normal distribution table, we find that the value of z_0.075 is 1.44.

Confidence Interval: µ ± z_α/2*σ/√n

⇒ 30.5 ± 1.44 × (3.1/√146)

⇒ 30.5 ± 0.369

Thus, the confidence interval for the mean number of words a third grader can read per minute is (30.131, 30.869).

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Answer:

add the like terms if there's no like the answer will be 3x+2y-3z=-1

P(person is in the 18-21 age bracket or someone who refused to respond) = 0.080

To find the probability of getting someone in the 18-21 age bracket or someone who refused to respond, we need to calculate the total number of individuals in these categories and divide it by the total number of people surveyed (378).

From the given information:

Number of people in the 18-21 age bracket who responded = 88

Number of people in the 18-21 age bracket who refused to respond = 8

Number of people in the 22-29 age bracket who responded = 240

Number of people in the 22-29 age bracket who refused to respond = 42

Total number of people in the 18-21 age bracket = 88 + 8 = 96

Total number of people who refused to respond = 8 + 42 = 50

Therefore, the total number of people in the 18-21 age bracket or who refused to respond is 96 + 50 = 146.

Finally, we divide the number of individuals in the desired categories by the total number of people surveyed:

P(person is in the 18-21 age bracket or someone who refused to respond) = 146/378 ≈ 0.385

Rounded to three decimal places, the probability is 0.080.

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Answer:

x−y+4=8

4x−5+y=0

7x+y=0

OR

6x−3y=12

6x+2y=8

x+6y=5

Step-by-step explanation:

honestly idrk what the question is here but there are some examples as if on a table! Hope this helped!!

The answer is,

\(b = - 4\)

Answer:

1/3

Step-by-step explanation:

0.3333...=1/3

Answer:

The next sequence is 243

The pattern is x 3

3 x 3 = 9

9 x 3 = 27

27 x 3 = 81

81 x 3 = 243

Step-by-step explanation:

You're welcome.

Step-by-step explanation:

x^2+6x+5=0

x^2+5x+1x+5=0

x(x+5)+1(x+5)

(x+5)(x+1)

x+5=0 x+1=0

x=-5 x=-1

Answer:

5(k + 1) and 5k + 5

Step-by-step explanation:

The easiest way to do this is to pick any number to substitute in for the variable k for ALL of the expressions, and find the expressions that equal the same as the first expression being compared.

For example, lets just make k equal 1 to make things easy. Plug 1 into k into the first expression. 2k + 2 + k + 3 + 2k → 2(1) + 2 + (1) + 3 + 2(1) = 10.

Now we do the same to the rest of the expressions and see which ones ALSO equal 10.

5(k + 1) → 5(1 + 1) = 10

5k + 5 → 5(1) + 5 = 10

5 + k^5 → 5 + (1)^5 = 6

5k^5 → 5(1)^5 = 5

Math classes such as geometry, algebra, calculus, and trigonometry are all recommended for aspiring architects. Similarly, science classes such as physics are beneficial for understanding concepts such as force, compression, and tension.

hope this helps

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

The real world situation that can be modelled with the given  expression can be modelled as shown below.

Given is the expression as -

D/3

A real world situation that can be modelled with this expression can be written as follows -

Amanda has a total of {D} bananas. She divides the bananas into 3 of her childrens equally. Write an expression that would represent the amount of bananas recieved by each of her child.

Therefore, the real world situation that can be modelled with the given  expression can be modelled as shown above.

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The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.

To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;

`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`

Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.

The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.

Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`

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Answer: 4/3x+-22/3 y=-3/4x+-21/4

on ed

Step-by-step explanation:

Answer:y=4/3x+-22/3. Y=-3/4x+-21/4

Step-by-step explanation:

The price of the bond is approximately $721.92.

A bond is a debt security that an investor lends to an entity in exchange for interest payments and the return of the principal at the end of the bond term. The price of a bond can be calculated using the following formula:

Bond price = [C / (1 + r)^n] + [F / (1 + r)^n]

Where:

F = face value of the bond

C = coupon rate

n = number of years remaining until maturity

r = yield to maturity (YTM)

Given data:

Face value (F) = $1,000

Coupon rate (C) = 6% semi-annually

Years to maturity (n) = 11

Yield to maturity (YTM) = 8%

To calculate the bond price, we need to use semi-annual coupons since the coupon is paid twice a year. We adjust the coupon rate, years to maturity, and yield to maturity accordingly.

Coupon rate (C) = 6% / 2 = 3% per half year

n = 11 × 2 = 22

r = 8% / 2 = 4% per half year

Plugging the given values into the formula:

Bond price = [30 / (1 + 0.04)^11] + [1000 / (1 + 0.04)^22]

≈ $721.92

Therefore, The bond costs around $721.92.

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Answer:

someone needs to answer this because i dont know

it.

Step-by-step explanation:

he is correctStep-by-step explanation: