A small boat leaves the dock at Camp DuNuthin and heads across the Nessie River at 16 miles per hour, relative to the water, at a bearing of S 63° W . The river is flowing due east at 9 miles per hour. What is the boat's true speed and heading? Round the speed to the nearest mile per hour and express the heading as a bearing with the angle rounded to the nearest tenth of a degree.

Answer: $720.47

Step-by-step explanation:

Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

The measure of BC is 20/3 or approximately 6.67.

Since ab is parallel to de, we know that angle abc is congruent to angle cde (corresponding angles of parallel lines). Let x be the length of bc.

Using the similar triangles ABC and CDE, we can set up the following proportion:

AB/CD = BC/DE

Substituting the given values:

9/CD = x/6

Solving for CD:

CD = 9/6 * x = 3/2 * x

Using the fact that EC = CD - DE, we can substitute the given values to get:

4 = (3/2 * x) - 6

10 = 3/2 * x

x = 20/3

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Answer:

Y= 13,-13

Step-by-step explanation:

Step-by-step explanation:

By the question ;

\(4 - \frac{3}{5m} = \frac{6}{5m} + 2 \\ \frac{20m - 3}{5m} = \frac{( 6 + 10m)}{5m } \\ 5m \: will \: be \: cancelled \\ now \\ 20m - 3 = 6 + 10m \\ 20m - 10m = 6 + 3 \\ 10m = 9 \\ so \: \: m \: = \frac{9}{10} \)

The probability that the average height of the sample men is greater than 69.5 inches is approximately 0.9772 or 97.72%.

To find the probability that the average height of the sample men is greater than 69.5 inches, we will use the Central Limit Theorem and the z-score formula.
Identify the given values:
  - Population mean (μ) = 70 inches
  - Population standard deviation (σ) = 2.5 inches
  - Sample size (n) = 100
  - Sample mean (\(\bar{x}\)) = 69.5 inches.

According to the Central Limit Theorem, the distribution of sample means will be approximately normally distributed with mean μ and standard deviation σ/√n.

Calculate the standard deviation of the sample means \((\sigma \bar{x} )\)
\((\sigma \bar{x} ) = \sigma /\sqrt{n }\)

= 2.5/√100

= 2.5/10

= 0.25
Calculate the z-score using the formula:
\(z = ([\bar{x}- \mu )/\sigma\bar{x}\)

= (69.5 - 70)/0.25 = -0.5/0.25

= -2
Use a z-table or calculator to find the probability that a z-score is greater than -2:
  P(z > -2) = 1 - P(z ≤ -2) = 1 - 0.0228 = 0.9772.

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Answer:

c:10

Step-by-step explanation:

7^2+ \(\sqrt{74} ^{2}\) = \(x^{2}\)

\(x^{2}\) = 25

x =5 (but that is only 1/2 of the length you are looking for

5*2 = 10

Debt payments relate to gross income in terms of the debt-to-income (DTI) ratio by total debt payments are divided by total. gross income.

How do debt payments relate to gross income?

The debt-to-income (DTI) ratio is a financial measurement used by lenders to assess a borrower's ability to manage debt payments. It is calculated by dividing the borrower's total debt payments by their total gross income. The resulting ratio is expressed as a percentage and indicates the portion of the borrower's income that goes towards paying their debt obligations.

For example, if a borrower has total debt payments of $1,000 per month and a gross income of $4,000 per month, their DTI ratio would be 25% ($1,000 divided by $4,000). A lower DTI ratio indicates that a borrower has more disposable income available after paying their debts and is generally viewed as a positive factor by lenders when considering a borrower for a loan or credit.

So, correct option is total debt payments are divided by total gross income.

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Answer:

D. total debt payments are divided by total gross income

Step-by-step explanation:

D. total debt payments are divided by total gross income

Answer:

  22

Step-by-step explanation:

The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.

There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.

__

200/18 = 11 remainder 2

Answer:

h = 9

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.  Consider each half of the main triangle their own triangles.  

h = a

a^2 + b^2 = c^2

or

a^2 = c^2 - b^2

a^2 = 10^2 - 5^2

a^2 = 100 - 25

a^2 = 75

a = √75

a = 8.66, or 9

h = 9 (when rounded)

Answer:

2 in

Step-by-step explanation:

18/3=6 , 6 is the scale factor

12/6=2

Answer:

width= 2

Step-by-step explanation:

18 inches is the original height and we are now reducing that to 3 inches.

In order to do that, we have to divide 18 by 3 which equals 6.

Next, take the width of the rectangle, which is twelve and divide it by the scale factor of 6 which  equals 2.

Your final answers should be: width= 2

Answer:

hey can you help me with this? it's my deadline today

Answer:

B

Step-by-step explanation:

Did on freckle

Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

Answer: I think the answer is 71.98

Step-by-step explanation:

Answer:

As x decreases in value.f(x) decreases in value.......

the probability  that a randomly selected when the IQ is lower than 136 is 0.9641

Given that

The mean is 100

The standard deviation is 20

We need to find out the probability when the IQ is lower than 136

So,

z value equivalent to 136 = (136 - 100)  ÷ 20 = 1.8

Now  

p (z < 1.8) = 0.9641

hence, the probability when the IQ is lower than 136 is 0.9641

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The equation that relates to the total cost C to the number of gallons of gas G purchased is C = 2.5G

An equation is an expression showing the relationship between two or more numbers and variables.

The standard equation of a straight line is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given the total cost C to the number of gallons of gas G purchased

The line passes through (0, 0) and (2, 5). Hence:

C - 0 = [(5 - 0)/(2 - 0](G - 0)

C = (2.5)(G)

C = 2.5G

The equation is C = 2.5G

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Answer:

Go ahead and color the nose red!

The solution is
\(y = \dfrac{n-9}{x}\)

Step-by-step explanation:

\(\text{We have: }\\\\\)

\(\rightarrow\; \dfrac{x}{y} + 9 = n\\\\\\\text{Subtract 9 from both sides:}\\\\\rightarrow\;\dfrac{x}{y} + 9 - 9 = n - 9\\\\\)

\(\rightarrow\;\dfrac{x}{y} = n - 9\\\\\)

Multiply both sides by y:

\(\rightarrow\; y \cdot \dfrac{x}{y} = y (n-9)\\\\\rightarrow\; x = y(n-9)\\\\\\\)

\(\text{Divide both sides by (n-9)}:\\\\\\\rightarrow\; \dfrac{x}{n-9} = \dfrac{y (n-9)}{n-9}\\\\\\\rightarrow\; \dfrac{x}{n-9} = y\\\\\\\)

By switching sides without changing the meaning, this can be re-written as :

\(y = \dfrac{x}{n-9} \\\\\)

which of course means you can color the nose red

:)

A slope is also known as the gradient of a line. The listed function that has a greater rate of change than the one in the graph is f(X)= x + 1.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The coordinates through which the line of the graph is passing are (0,-4) and (6,0). Thus, the slope of the given line is,

Slope, m = (-4 - 0)/(0 - 6) = -4/-6 = 2/3 = 0.6667

Comparing the given equation with the general equation of a line, y=mx+c, where m is the slope of the line. Therefore, the slope of the given lines is,

A. f(X)= -0.3x + 2

slope = -0.3x

Hence, the slope is less than the slope of the given graph.

B. f(X)= x + 1

slope = 1

Hence, the slope is greater than the slope of the given graph.

C. f(X)= 0.1x + 2

slope = 0.1x

Hence, the slope is less than the slope of the given graph.

D. f(X)= -0.25x - 3

slope = -0.25x

Hence, the slope is less than the slope of the given graph.

Hence, the listed function that has a greater rate of change than the one in the graph is f(X)= x + 1.

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Answer:

above sea level

Step-by-step explanation:

Answer:

Pretty sure you got it right cause that's what I got...maybe were both wrong ‍♀️

Answer:

x = 3

Step-by-step explanation:

5x + 9 = 24

5x = 24 - 9

5x = 15

x = 3

Check:

5(3) + 9 = 24

SM = 24,    MT = 24 ✔️

Answer:

Step-by-step explanation:

If M is the midpoint between points S and T, then both sides; SM and ST are equal. This means that 5x + 9 has to equal 24.

5x + 9= 24

5x +9 - 9= 24 - 9

5x= 15

5x / 5 = 15 / 5

x = 3

ANSWER: x = 3

The equation of the function is f(x) = (-1/4)(x+10)(x-3)

The y intercept of the function = A(0, 7.5)

The zeros of the function are

-10 and 3

The equation in intercept form

y = a(x - p)(x - q)

Where the value of p = -10

The value of q = 3

Then the function will be

f(x) = a(x + 10)(x - 3)

The point A = (0, 7.5)

Substitute the values of x and y in the equation

7.5 = a(0+10)(0-3)

Do the arithmetic operation

7.5 = a(10)(-3)

Multiply the terms

7.5 = -30a

a = 7.5 / -30

Divide the terms

a = -1/4

Hence, the equation of the function is f(x) = (-1/4)(x+10)(x-3)

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Answer:

Step-by-step explanation:

that options given seem wrong but what do i know thats just difficult dude im just in the 4th grade

Answer:

4th option

Step-by-step explanation:

let y = f(x) , then rearrange making x the subject, that is

y = 4x ( divide both sides by 4 )

\(\frac{1}{4}\) y = x

Change y back into terms of x with x = \(f^{-1}\) (x) , then

\(f^{-1}\) (x) = h(x) = \(\frac{1}{4}\) x

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

The predetermined overhead rate is the estimated manufacturing overhead cost per unit of a specific allocation base.

In the options, there are four different rates:

1. $10.00 / MH (MH stands for machine hour): This means that the estimated manufacturing overhead cost per machine hour is $10.00.

2. $17.50 / MH: This indicates that the estimated manufacturing overhead cost per machine hour is $17.50.

3. $20.00 / MH: This implies that the estimated manufacturing overhead cost per machine hour is $20.00.

4. $32.86 / MH: This shows that the estimated manufacturing overhead cost per machine hour is $32.86.

Each rate represents the estimated cost of manufacturing overhead per unit of the allocation base (machine hour) and is used to allocate overhead costs to products or services based on their usage of the allocation base.

The specific rate chosen depends on the nature of the business, its cost structure, and the accuracy of the estimated overhead costs.

The correct question is ''What is the predetermined overhead rate?\(\( \$ 10.00 / \mathrm{MH} \) \( \$ 17.50 / \mathrm{MH} \) \( \$ 20.00 \) / MH \( \$ 32.86 / \mathrm{MH} \)\).''

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The six trigonometric functions are:

cos (-5π/4) = cos (-π/4) = -√2/2sin (-5π/4) = sin (-π/4) = -√2/2tan (-5π/4) = tan (-π/4) = 1cot (-5π/4) = cot (-π/4) = -1sec (-2π/3) = 4cosec (-2π/3) = 2/√3

Let's find the trigonometric values using the given angles:45-45-90 triangle.We know that for a 45-45-90 triangle, the sides are in a ratio of 1:1:√2 and the angles are 45°, 45°, and 90°.

Now, we are to find the trigonometric function values of the angles.cos (-5π/4) = cos (-π/4)Using unit circle, the terminal side of angle -π/4 in the fourth quadrant makes a reference angle of π/4.

The coordinates are (-√2/2, -√2/2).cos (-π/4) = -√2/2sec (-2π/3)The angle -2π/3 is in the third quadrant.

The reference angle of -2π/3 in the triangle is π/3.

Using the 30-60-90 triangle, we know that the sides are in the ratio of 1:√3:2 and the angles are 30°, 60°, and 90°.In the 30-60-90 triangle, we have: sec θ = 2/cos θsec (-2π/3) = 2/cos (π/3) = 2/1/2 = 4cos θ = 1/2

Using the coordinates on the unit circle of π/3, the adjacent side is 1/2cos θ = 1/2sin θ = √3/2tan θ = sin θ/cos θ = √3cot θ = 1/tan θ = 1/√3cosec θ = 1/sin θ = 2/√3.

The six trigonometric functions are:

cos (-5π/4) = cos (-π/4) = -√2/2sin (-5π/4) = sin (-π/4) = -√2/2tan (-5π/4) = tan (-π/4) = 1cot (-5π/4) = cot (-π/4) = -1sec (-2π/3) = 4cosec (-2π/3) = 2/√3

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Answer:y=negative 1 over 3x +2

Step-by-step explanation:

Answer:vvvvvvvvvvvvvvvvvvvvvvv

Step-by-step explanation: the guy above me is correct

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y = negative 1 over 3x + 2