from the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 26°. how far is the ship from the base of the lighthouse? (round your answer to the nearest foot.)

Answer:

n = 4

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

Answer:

Step-by-step explanation:

\(x^{2}\) + 18x +c = 25+c

\(x^{2}\) + 18x +\(9^{2}\) =25+\(9^{2}\)    (the c just cancels out and add \(9^{2}\))

\((x+9)^{2}\) -106 = 0

Answer:

Option 2

24(2) = 48

24+ 12= 36

48 + 36 + 96 = 180

Answer:

96 + 2x + (x + 12) = 180

-96                          -96

2x + (x + 12) = 84

-2x                  -2x

x + 12 = 84 - 2x

-x                 -x

12 = 84 - 3x

-84     -84

-72  = -3x

divide by -3 on both sides

24 degrees = x  

Therefore, there are 8 zeros in the initial string after the decimal point.

To determine the number of zeros in the initial string after the decimal point, we need to examine the given decimal representation of 1 2020.

Since there is a 9 after the decimal point, we can deduce that there are 8 zeros in the initial string. This is because the decimal representation of 1 2020 can be interpreted as:

1 2020 = 1.000000009...

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The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.

The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.

In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.

Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

3

Step-by-step explanation:

Substitute x with 24

(24)/4 - 9

Divide

6 - 9

Subtract

3

Answer:

c

Step-by-step explanation:

Answer:

20 1/16

Step-by-step explanation:

please give brilliantest pls

Answer:

You have the correct answer \(20 \frac{1}{16}\)

Step-by-step explanation:

Answer:

A=pq/2

p Diagonal

q Diagonal

Step-by-step explanation:

if it helped u please mark me a brainliest :))

Ileana  have to invest for 8 years :

Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.

The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.

Principal amount = $15,500

interest = $5,084

Time = ?

Rate = 4.1% simple interest

to find the simple interest :

                                         I = \(\frac{(p*t*r)}{100}\)

       Then:

         Time = \(\frac{I*100}{P*R}\)

                  = \(\frac{(5084*100)}{(15500*4.1)}\)

                  = \(\frac{508400}{63,550}\)

                  = 8 years

Ileana  have to invest for 8 years

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Answer:

y>0,        -3>x> -1

y<0,        -3<x<-1

y = 0,       x = -3 and x = -1

Step-by-step explanation:

Answer:

Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.

Have a good day!

Answer:

1.3333333333333

Step-by-step explanation:

80 divided by 60 is equal to 4/3.

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient of a number 80 and 60;"

Expression: 80/60

By dividing by 20, we have:

Expression: 4/3

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Answer:

-25

Step-by-step explanation:

when b = 6

sub b = 6 into b^2-9b-7

6^2-9(6)-7

36-54-7

36-61

-25

The constant in the given expression is

C. 9

In a mathematical expression, a constant is a value that does not change and remains the same throughout the expression or equation.

It is a fixed numerical value, coefficient, or term that is independent of the variable(s) in the expression.

For example, in the expression 15x^2 + 2x + 9, the constant is 9, as it remains the same regardless of the value of x.

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The hydrostatic force on the window is approximately 47,481 Newtons.

We can use the formula for hydrostatic force, which is:

F = ρghA

where F is the hydrostatic force, ρ is the density of the fluid (water in this case), g is the acceleration due to gravity, h is the depth of the window, and A is the area of the window.

First, we need to find the area of the window. Since the window is a semi-circle with diameter 70 centimeters, the radius is 35 centimeters, and the area is:

A = (π/2)r^2

= (π/2)(35 cm)^2

= 1225π/2 cm^2

Next, we need to convert the depth of the window to meters:

h = 2.5 m

We also need the density of water, which is approximately:

ρ = 1000 kg/m^3

Finally, we need the acceleration due to gravity, which we can assume is:

g = 9.8 m/s^2

Now we can plug these values into the formula:

F = ρghA

= (1000 kg/m^3)(9.8 m/s^2)(2.5 m)(1225π/2 cm^2)

≈ 47,481 N

Therefore, the hydrostatic force on the window is approximately 47,481 Newtons.

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As we have proved that the Fourier transform F(ω), with the only difference being the sign of ω

Firstly, let us recall what the Fourier transform is. It is a mathematical technique that decomposes a function into its frequency components. The Fourier transform is defined as:

F(ω) = ∫ f(t) \(e^{(-iwt)}\)dt

where f(t) is the function being transformed, ω is the frequency, i is the imaginary unit, and e^(-iωt) is a complex exponential function. The inverse Fourier transform is defined as:

f(t) = (1/2π) ∫ F(ω) \(e^{(iwt)}\) dω

where F(ω) is the Fourier transform of f(t).

Now, let's move on to the symmetry properties of the Fourier transform.

If f(t) is an even function, meaning f(-t) = f(t), then F(ω) is also even, meaning F(-ω) = F(ω).

To prove this, we start with the definition of the Fourier transform and substitute -t for t:

F(-ω) = ∫ f(-t)\(e^{(iwt)}\) dt

Then, using the even symmetry of f(t), we can replace f(-t) with f(t):

F(-ω) = ∫ f(t) \(e^{(iwt)}\) dt

Therefore, F(-ω) = F(ω) if f(t) is even.

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Answer:

the question was not correctly solved

Step-by-step explanation:

A=½bh

23=½*b*h

²/1×23= bh

²/1×23=6h

46=6h

h=7.666666667 / h=23/3

I hope this is helpful

False. A trigonometric equation with an infinite number of solutions is not necessarily an identity.

A trigonometric identity is an equation that holds true for all values of the variables involved. It is a fundamental property of trigonometric functions. On the other hand, a trigonometric equation with an infinite number of solutions means that there are multiple values of the variables that satisfy the equation, but it doesn't imply that the equation is true for all values.

For example, the equation sin(x) = 0 has an infinite number of solutions, which are x = 0, π, 2π, 3π, and so on. However, this equation is not an identity because it is not true for all values of x. It is only true when x is an integer multiple of π.

Therefore, it is important to distinguish between trigonometric identities that hold true for all values and trigonometric equations that have an infinite number of solutions but may not be true for all values.

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

a=14/27

Decimal Form:

a=0.¯¯¯¯¯¯518

Step-by-step explanation:

Answer:

See explanations below

Step-by-step explanation:

Given endpoints A(2, −3) and B(−2, 3),

If M is the midpoint of AB

M(X, Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

X = 2 + (-2)/2

X = 2-2/2

X = 0/2

X = 0

Get the Y coordinate;

Y = y1+y2/2

Y = -3+3/2

Y = 0/2

Y = 0

Hence the midpoint of AB is at (0,0) which is the origin,

Answer:

Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.

Step-by-step explanation:

Answer:

9.1.4 -0.7=9.1

Step-by-step explanation:

Step 1: Determine the Assessment Unit ID (AUID) of the waterbody of interest.

Step 2: Express the quadratic equation in standard form

The solution to the logarithmic equation log₂( x + 5 ) = log₂( 1 - 5x ) is x = -2/3.

Given the equation in the question;

log₂( x + 5 ) = log₂( 1 - 5x )

Note that, for the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

Hence,

x + 5 = 1 - 5x

Solve for x

Move all terms containing x to the left side of the equation.

x + 5 + 5x = 1 - 5x + 5x

x + 5 + 5x = 1

Subtract 5 from both sides

x + 5 - 5 + 5x = 1 - 5

x + 5x = 1 - 5

6x = -4

x = -4/6

x = -2/3

Therefore, the value of x is -2/3.

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