A boat is heading towards a lighthouse, whose beacon-light is 145 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 11∘
. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.

Find an angle θ, with 0? < θ < 360?, that has the same are:

(a) θ = 120° or 240°

(b) No solution exists.

(a) For cosine of θ to be the same as the cosine of 240°, θ must be an angle in the second or third quadrant, as cosine is negative in those quadrants. We can find the angle using the identity cos(θ) = cos(360° - θ).

cos(θ) = cos(240°)

cos(θ) = cos(360° - 240°)

cos(θ) = cos(120°)

So, θ = 120° or θ = 360° - 120° = 240°.

(b) For sine of θ to be the same as the sine of 240°, θ must be an angle in the third or fourth quadrant, as sine is negative in those quadrants. However, there is no angle whose sine is equal to the sine of 240°. This is because the sine function is periodic with a period of 360°, and sine(240°) is equal to -sin(120°), so there is no unique solution for θ.

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Answer:

-2

Step-by-step explanation:

Simply find the y-value when x = -5. Looking at the graph, we should get y = -2

Answer:

f(-5) = -2

Step-by-step explanation:

f(-5)

x=-5

Go x=-5 on the graph and see what the y value of the function is

The y value is -2

f(-5) = -2

The Taylor polynomial t1(x) for the function f(x) = ln(1+x) based at b = 0 is given by t1(x) = x.

The Taylor polynomial represents an approximation of a function around a specific point using a polynomial. The first-order Taylor polynomial, also known as the linear approximation, involves considering only the first derivative of the function. In this case, the function is ln(1+x), and the approximation is centered at b = 0.

To find the first-order Taylor polynomial, we start by evaluating the function and its derivative at the point of interest. The function ln(1+x) evaluated at x = 0 is ln(1+0) = ln(1) = 0. The first derivative of ln(1+x) is 1/(1+x), and evaluating it at x = 0 gives 1/(1+0) = 1.

Thus, the first-order Taylor polynomial t1(x) = x is obtained by taking the linear term of the Taylor series expansion. It provides a good approximation of the function ln(1+x) in the neighborhood of x = 0.

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Step-by-step explanation:

please mark me as brainlest

Answer:

Explanation:

make x the subject in equation 2,

5x + y = -3

y = -3 - 5x __ equation 2

using substitution method,

-4x + 3(-3 - 5x) = 29

-4x -9 -15x = 29

-19x = 38

x = -2

Find y,

y = -3 - 5x

y = -3 - 5(-2)

y = 7

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

EXPLANATION

Domain = All Real Numbers

Range = { y/ y >= 5}

Amy because Ben spend the less money then

amy get more money

Amy has more money than her brother after all transactions.

An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -

2x = 5

An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -

3x + 5y + 3

We have Amy who has $1275 less than her brother ben. Ben spends $550 and Amy gets $750.

Assume that the money with Ben and Amy after transactions is $x and $y respectively. Let Ben has a initial amount of $m and Amy has of $n.

n = m - 1275

After transactions -

x = m - 550

y = m - 1275 + 750 = m - 525

Now -

m - 525 > m - 550  for every value of [m].

So, now Amy has more money.

Therefore, Amy has more money than her brother after all transactions.

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Answer:the correct option is D

Step-by-step explanation:

I took the test

The distance around the top edge of the window is 3. 9 feet. Option B

From the information given, we have that:

Note that the distance across the window is the diameter

Let's find the radius

Radius = diameter/ 2

Radius = 2. 5 / 2

Radius = 1. 25 ft

Then, we calculate the circumference of the circle which will be:

= 2πr

= 2 × 3.14 × 1.25

= 7.85 ft

Note that it's a semi circle, therefore we divide the perimeter by 2. This will be:

= 7.85/2

= 3.9 feet

Thus, the distance around the top edge of the window is 3. 9 feet. Option B

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Answer:

slope is -3

y-intercept is -2

Step-by-step explanation:

put into slope-intercept form which is y = mx + b where 'm' is slope and 'b' is the y-intercept

12x + 4y = -8

4y = -12x - 8

y = -12/4x - 8/4

y = -3x - 2 (simplified)

Answer:

67.5°

Step-by-step explanation:

3x+X+90=360°(circle angle)

4x+90=360

4x=360-90

4x=270

X=270/4

X=67.5°

Answer:

Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air

First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.

Hope this helps!

We find that it takes approximately 47 months to recover the initial investment.

To calculate the time it takes to recover the initial investment on a monthly basis, we need to consider the savings in fuel costs and the cost of funds over time.

First, let's calculate the monthly savings in fuel costs by subtracting the average natural gas cost from the fuel oil cost:

Savings in fuel costs = Fuel oil cost - Natural gas cost

= $145 - $60

= $85

Next, let's calculate the present value of the savings in fuel costs over the recovery period. Since the savings occur monthly, we can use the formula for the present value of an annuity:

Present value of savings = Savings in fuel costs * (1 - (1 + interest rate)^(-n)) / interest rate

Where:

Savings in fuel costs is $85 per month

Interest rate is 9% per year, which is 0.75% per month

n is the number of months it takes to recover the initial investment

Now, let's calculate the present value of the savings using the given values:

Present value of savings = $85 * (1 - (1 + 0.0075)^(-n)) / 0.0075

Next, let's calculate the present value of the initial investment using the formula for present value:

Present value of initial investment = Initial investment / (1 + interest rate)^n

Where:

Initial investment is $2500

Interest rate is 9% per year, which is 0.75% per month

n is the number of months it takes to recover the initial investment

Now, let's calculate the present value of the initial investment using the given values:

Present value of initial investment = $2500 / (1 + 0.0075)^n

To recover the initial investment, the present value of savings must equal the present value of the initial investment:

$85 * (1 - (1 + 0.0075)^(-n)) / 0.0075 = $2500 / (1 + 0.0075)^n

To solve for n, we can rearrange the equation and solve for n using trial and error or by using numerical methods.

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Answer: 1 whole

Step-by-step explanation:

Answer:

0+8

Step-by-step explanation:

add 8 each time

it is 0 because in times table if you have 8, 16 and 24 then you don't need to add it on or take away from it, so it will be 0.

I hope that helped.

The two-way table allows us to calculate the joint distribution, marginal distributions, and conditional distributions for incidents of sexual harassment in middle and high schools. The most appropriate conditional distribution depends on the research question and the factors being considered.

In this study on sexual harassment in middle and high schools, the joint distribution of students who have witnessed sexual harassment in school is given in the two-way table in figure 9.9. We can use this table to calculate the marginal distributions for the number of times sexual harassment was witnessed, as well as the conditional distributions based on other factors, such as gender or grade level.

The two marginal distributions are the number of students who witnessed sexual harassment across all grades and genders. This allows us to see the total number of incidents of sexual harassment and how they vary by grade level or gender.

The conditional distributions are based on additional factors, such as gender or grade level. For example, we can calculate the percentage of female students who witnessed sexual harassment compared to the percentage of male students who witnessed it. We can also calculate the percentage of incidents that occurred in each grade level.

The preferred conditional distribution to explain the results of the analysis depends on the research question. If the research question is focused on gender differences, then the gender-based conditional distribution would be most useful. If the question is focused on grade level differences, then the grade-level based distribution would be more appropriate.

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Answer:

First one is a withdraw and the second one is above sea level

Step-by-step explanation:

Answer:

The quantity best expressed as -3.2 is a withdrawal of $3.20 The quantity best expressed as +5.1 is 5.1 feet above sea level

The constant of proportionality will be 6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop

We can use the equation of a straight line to represent direct proportionality as -

y = mx + c

for -

c = 0

y = mx

m = y/x

Where [m] as constant of proportionality.

For -

c = 6m

constant of proportionality will be 6.

Therefore, the constant of proportionality will be 6.

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Answer:

YEs tis i, the simplifier

Step-by-step explanation:

its 6

the probability of selecting 5 marbles of each color is approximately 0.0217 or 2.17%.

The probability of selecting 5 marbles of each color (red, purple, and green) from a set of 20 marbles (6 red, 8 purple, and 5 green) can be calculated using the combinations formula. In this case, we need to find the probability of selecting 5 red marbles from 6, 5 purple marbles from 8, and 5 green marbles from 5, and then divide it by the total number of ways to choose 15 marbles from 20.
To calculate the combinations, we can use the formula: C(n, r) = n! ÷ (r!(n - r)!), where "n" is the total number of items and "r" is the number of items to be selected.
Probability = (C(6,5) × C(8,5) × C(5,5)) ÷ C(20,15)
Calculating the combinations:
C(6,5) = 6! ÷ (5!(6 - 5)!) = 6
C(8,5) = 8! ÷ (5!(8 - 5)!) = 56
C(5,5) = 5! ÷ (5!(5 - 5)!) = 1
C(20,15) = 20! ÷ (15!(20 - 15)!) = 15,504
Now, plug the values back into the probability formula:
Probability = (6 × 56 × 1) ÷ 15,504 = 336 ÷ 15,504 ≈ 0.0217

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Answer:

d) 360

Step-by-step explanation:

Answer: D. R0, 360°

Step-by-step explanation: RIGHT ON EDGE 2023

Answer:what

Step-by-step explanation:what does this mean

There is no constant c that satisfies the given conditions: the line does not have a slope of -6, does not pass through (-8, -4), is not horizontal, and is not vertical.

To determine whether there exists a constant c that satisfies the given conditions, we can analyze each condition one by one.

1. Slope of -6:

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope. In the given equation x + cy = -6, if the slope is -6, we need to rewrite the equation in slope-intercept form.

x + cy = -6

cy = -x - 6

y = (-1/c)x - 6/c

Comparing this form to y = mx + b, we can see that the slope is (-1/c). For the slope to be -6, we must have (-1/c) = -6. Solving this equation for c, we find that c = 1/6.

2. Passes through (-8, -4):

To check if the line passes through the point (-8, -4), we substitute x = -8 and y = -4 into the equation x + cy = -6:

-8 + c(-4) = -6

-8 - 4c = -6

Solving this equation, we find that c = -1/2. Therefore, the line does not pass through the point (-8, -4).

3. Horizontal line:

A horizontal line has a slope of 0. In the given equation x + cy = -6, if the line is horizontal, we need the coefficient of y, which is c, to be 0. However, there is no value of c that makes the line horizontal, as it would result in a contradiction with the equation.

4. Vertical line:

A vertical line has an undefined slope. In the given equation x + cy = -6, if the line is vertical, the coefficient of y, which is c, should be infinite. However, there is no value of c that makes the line vertical, as it would result in a contradiction with the equation.

In summary, there is no constant c that satisfies the given conditions: the line does not have a slope of -6, does not pass through (-8, -4), is not horizontal, and is not vertical.

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Multiply 0.625/1 by 1000/1000 to get 625/1000. Reducing we get 5/8  

Answer:

your slope would be 5/4

Step-by-step explanation:

your x will always be your slope. when you rewrite the equation it would be

y=5/4x-7

so from -7 you would go up 5 and over 4.

Again your x value will always be your slope.

\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

In ridge regression, the penalty strength parameter, represented by \lambda», controls the trade-off between fitting the training data well and keeping the model coefficients small.

When a very large penalty strength is chosen, it results in a higher degree of shrinkage of the regression coefficients towards zero. This means that the model becomes less complex and less likely to overfit the training data. However, it also means that the model may become too biased towards the null hypothesis, leading to underfitting and decreased predictive power. Therefore, choosing the right value of \lambdaλ is crucial for achieving optimal performance in ridge regression.
In ridge regression, choosing a very large λ (lambda) penalty strength results in a higher regularization effect, which helps to reduce overfitting by shrinking the coefficients of the independent variables towards zero. This helps to create a more generalized model by controlling the complexity of the model. However, choosing a λ value that is too large can also result in underfitting, as the model may become too simple to capture the underlying relationships in the data effectively.

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The number of Blu-ray discs stored on a computer with a 4TB capacity will be 82.

The technology used to store digital data on computers and recording media is known as computer data storage. It is a key feature and essential part of computers. A computer's central processor unit manipulates data by carrying out calculations.

Given that a dual-layer Blu-ray disc can store 50 GB of data. The number of the Blu-ray disc will be calculated as below:-

1 TB = 1024 GB

4 TB = 4 x 1024 GB = 4096GB

Number of 50GB Blu-ray disc = 4096 / 50 = 82

Therefore, the number of Blu-ray discs stored on a computer with a 4TB capacity will be 82.

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Answer:

put the equations in tiger math

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

19 is a prime number but 95 is not.

95= 1x95

       5x19

Step-by-step explanation:

19 is a prime number. Factors of 19 up to 100 are 19, 38, 57, 76, 95. ... Thus, there are 95 co-prime numbers to 19 exists between 1 and 100.

Answer:

30 square feet

Step-by-step explanation:

scale F = 43.744532