The town of Knappville has a landmark, L, an amusement park, AP, a high school, HS, a city hall, CH, and a city park, P. Herberto is at the amusement park and wants to go to the city hall. Name a path he could travel

Answer:

\(\sin 2A + \csc 2A = 2.122\)

Step-by-step explanation:

Let \(f(A) = \sin A + \csc A\), we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

\(\csc A = \frac{1}{\sin A}\) (1)

\(\sin^{2}A +\cos^{2}A = 1\) (2)

Now we perform the operations: \(f(A) = 3\)

\(\sin A + \csc A = 3\)

\(\sin A + \frac{1}{\sin A} = 3\)

\(\sin ^{2}A + 1 = 3\cdot \sin A\)

\(\sin^{2}A -3\cdot \sin A +1 = 0\) (3)

By the quadratic formula, we find the following solutions:

\(\sin A_{1} \approx 2.618\) and \(\sin A_{2} \approx 0.382\)

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

\(\sin A \approx 0.382\)

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

\(A \approx 22.457^{\circ}\)

Then, the values of the cosine associated with that angle is:

\(\cos A \approx 0.924\)

Now, we have that \(f(A) = \sin 2A +\csc2A\), we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

\(\sin 2A = 2\cdot \sin A\cdot \cos A\) (4)

\(\csc 2A = \frac{1}{\sin 2A}\) (5)

\(f(A) = \sin 2A + \csc 2A\)

\(f(A) = \sin 2A + \frac{1}{\sin 2A}\)

\(f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}\)

\(f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}\)

If we know that \(\sin A \approx 0.382\) and \(\cos A \approx 0.924\), then the value of the function is:

\(f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}\)

\(f(A) = 2.122\)

Answer:

1.0625 seconds

Step-by-step explanation:

Given that:

Initial velocity of Belinda, \(v_0=17\ ft/sec\)

Height in feet of Belinda above the trampoline is given as the formula:

\(d(t) = v_0t-16t^2\)

Where \(t\) is the time in seconds.

To find:

Time taken by Belinda to come back to trampoline = ?

Solution:

When Belinda will come back to trampoline, the height will be zero.

Putting \(d(t) =0\)

We have the equation as:

\(0 = 17t-16t^2\\\Rightarrow 16t^2-17t=0\\\because t\neq0\\\Rightarrow 16t=17\\\Rightarrow t=\dfrac{17}{16}\\\Rightarrow t =1.0625\ seconds\)

Therefore, the answer is: 1.0625 seconds

Answer:

i thing is 1

Step-by-step explanation:

Answer:

$1

Step-by-step explanation:

In order to get the sales tax, you have to perform the multiplication operation by multiplying $12 by 8%.

Let x be the sales tax.

x = $12 x 8%

x = 12 x 0.08

x = 0.96

To round off the answer to the nearest cent, you have to look for the last number in the cents' place. If the number is 5 or above, you have to add 1 to the number next to it. If it's below 5, you just have to copy the values.

In the case above, the last number in the cents' place is 6. This is above 5, so we have to add 1 to 9, which will make it 100 cents or $1.

So, the sales tax is $1.

Answer:

Step-by-step explanation:

Each Week: $10.15

Every Other Week: $20.30

Twice a Month: $21.99

Each Month: $43.98

Each Quarter: $131.95

Each Year: $527.80

every week

Answer:

Y= 1/3x-15

Step-by-step explanation:

-6=-3(-3)+b

-6= 9+b

subtract 9 on both sides

b= -15

Y= 1/3x-15

because its perpendicular the -3x become positive and reciprocal

Answer:

Y= 1/3x-15

Step-by-step explanation:

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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Answer:

im not sure about the answer but you find the comon factor of 8 and 7.50

then you find then you find the comon factors of 13.00 16.00 and then i dont know (hope i helped)

The norm of the partition P={-1.8, -0.9, -0.6, 0.1, 0.5, 1) is 0.9.

To calculate the norm of P, firstly take the absolute values of each element in the partition. This leaves us with |-1.8| = 1.8, |-0.9| = 0.9, |-0.6| = 0.6, |0.1| = 0.1, |0.5| = 0.5, and |1| = 1. Then, find the largest absolute value in the set, which is 1.8. The norm of P is therefore 1.8.

In general, the norm of a partition P is the largest absolute value of all the elements in the partition. The norm is denoted as ||P||. This is also known as the infinity norm or the supremum norm.

To calculate the norm, simply take the absolute values of each element in the partition and find the largest absolute value in the set. The norm of the partition is the largest absolute value.

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Answer:

0.002 pounds

Step-by-step explanation:

1lb / 500 = 0.002 pounds

Answer:

$$$$4.17

Step-by-step explanation:

20-13.83=6,17

6.17-2=4.17

Answer:

$4.17

Step-by-step explanation:

$13.83+ tip ($2.00)=$15.83

$20.00-$15.83=$4.17

To write a cosine function with amplitude and period, we can use the formula f(x) = A cos (2π / P) x, where A is the amplitude and P is the period.

To write a cosine function with amplitude and period, we can use the following formula:

f(x) = A cos (2π / P) x

where A is the amplitude and P is the period.

The amplitude of a cosine function is the distance from the center line to the maximum or minimum value of the function. It represents the maximum displacement of the function from its mean or average value. The period of a cosine function is the length of one complete cycle of the function. It represents the time it takes for the function to repeat itself.

For example, if we want to write a cosine function with an amplitude of 3 and a period of 4, we can use the formula:

f(x) = 3 cos (2π / 4) x

Simplifying this equation, we get:

f(x) = 3 cos (π / 2) x

The cosine of π/2 is equal to zero, so this equation simplifies further to:

f(x) = 0

This means that the function has a constant value of zero for all values of x.

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Between $80,000 and $85,000, there is an outlier. Means are not immune to outliers, but medians are.

How do you define medians?

The middle number in a sorted series of numbers is referred to as the median in mathematics. Ordering the numerals reveals the center one. In descending sequence, the numbers are listed. The middle number, when the numbers are arranged, is referred to as the data set's median.

Why is median significant?

A useful way to determine where a dataset is in the middle is to use the median. You may gain a sense of a dataset's distribution by comparing both median and mean. The dataset is almost uniformly scattered from the mean if both mean and median are equal.

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Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

Answer:

\(solution \\ diameter = 10 \: cm \\ radius = \frac{10}{2} = 5 \: cm \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {5}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78.5 {cm}^{2} \)

hope this helps...

Good luck on your assignment...

Horizontal asymptote  : y = 3

vertical asymptote : x = 9

Asymptotes: -

Asymptotes are lines the function approaches, but does not reach, as the independent variable nears some value. They may be horizontal, vertical, or slanted.

Vertical asymptotes: -

If a rational function has a denominator factor of (x -a) that is not matched by the same factor in the numerator, there will be a vertical asymptote at x=a.

The given function has a denominator factor of x-9 that does not appear in the numerator, so it has a vertical asymptote at x=0.

Horizontal asymptotes: -

As the magnitude of x gets large, the value of a rational function approaches the ratio of the highest-degree terms in the numerator and denominator. Here, that ratio is (3x)/(x) = 3. That is, the given function has a horizontal asymptote at y = 3.

The "end behavior" of the function is that it approaches this asymptote as the value of x approaches ±∞.

Additional comment: -

If the degree of the numerator is greater than the degree of the denominator, the quotient of the division of the numerator by the denominator will be an expression of the "slant asymptote" that the function approaches when |x| gets large. The "remainder" from the division will approach zero for large |x|.

We are generally concerned with functions that have a linear "slant asymptote," but the quotient function may have other polynomial behavior, depending on the difference in degrees of the numerator and denominator.

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Answer:

Step-by-step explanation:

The transitive property of equality says--in very informal terms--if thing 1 = thing 2 and thing 2 = thing 3, then thing 1 = thing 3.  See how thing 2 appears twice?  That's a "spoiler alert" for this question.

So, what are thing 1, thing 2, and thing 3?

Take a look at how the answer space begins:  9y.  That must be thing 1 because the conclusion of the transitive property is thing 1 = ...

Now, what is mentioned twice?  2x.  That must be thing 2.

The remaining expression is thing 3: 10x - 8y + 3.

So it goes like this:

9y = 2x

2x = 10x - 8y + 3

Therefore, 9y = 10x - 8y + 3

Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

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Answer:

E. 18 on each van and 40 on each bus

Step-by-step explanation:

3(18) + 5(40) = 254 and 10(18) + 10(40) = 580

Answer:

A. Yes, because it passes the vertical line test.

Step-by-step explanation:

We just started this unit in math class so I'm realitivly new to it but I tried my best to answer your question as accurately as possible! Have a wonderful rest of your day and I hope my answer was helpful and accurate!

Answer:

A. Yes, because it passes the vertical line test.

Step-by-step explanation:

We just started this unit in math class so I'm realitivly new to it but I tried my best to answer your question as accurately as possible! Have a wonderful rest of your day and I hope my answer was helpful and accurate!

Step-by-step explanation:

P.S don't trust tutors...

...they are always (mostly) wrong

The null hypothesis, in this case, represents the assumption or statement that there is no significant difference or effect.

In the context of the shipping company and their advertised standard shipping time, the null hypothesis would state that the true mean shipping time is equal to or greater than seven days.

Therefore, the correct choice would be:

A) "The true mean shipping time would be 7 days or more"

This hypothesis assumes that the standard shipping time meets or exceeds the advertised duration of seven days. The null hypothesis is typically used as a baseline or starting point for statistical analysis, and it is the hypothesis that is tested against an alternative hypothesis to determine if there is sufficient evidence to reject or accept it.

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The two triangles have a common base EF, with vertex G at the top and H at the bottom. Angle GFE measures 60°.

To calculate the measure of angle GFE, start by labeling the two vertices of the angle. In this case, vertex G is at the top of the triangle and vertex H is at the bottom. Next, draw a perpendicular line from the common base EF to the vertex G. This will create two right triangles. Now use the Pythagorean theorem to calculate the lengths of the two sides of the triangle adjacent to the angle GFE. This is done by taking the square root of the sum of the squares of the other two sides. Once the lengths of the two sides are known, use the arctangent function to calculate the measure of angle GFE. Finally, compare the result to the known angle measure of 60° to confirm that the calculation is correct.

The complete question: Select the correct answer. a pair of triangles with a common base ef and a vertex g (top) and h (bottom). angle gfe is 60 & deg. angle and EFH is ( 2× 2). Angles GEF and HEF are equal & nbsp

In the diagram, ΔGEF and ΔHEF are congruent. what is the value of X?

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For C = 5x + 3y the cost found at the vertex (4,0) is maximum .

In the question it is given that

the vertices of the feasible region are (0, 0), (0, 2), (5, 2), and (4, 0) .

To find the maximum C for the vertex (4,0),

we substitute the x=4 and y=0 in every option ,

On substituting the value of x and y in option1 we get ,

C = -2x + 3y

= -2(4) + 3(0)

= -8 + 0

= -8                       ....(i)

Substituting in option2 , we get

C = 5x + 3y

C = 5(4) + 3(0)

C = 20 + 0

C = 20                    ...(ii)

Substituting in option3 , we get

C = 2x + 7y

C = 2(4) + 7(0)

C = 8 + 0

C = 8                         .....(iii)

Substituting in option4 , we get

C = 4x - 3y

C = 4(4) - 3(0)

C = 16 - 0

C = 16                    ....(iv)

As we can see that from equation (i) , (ii) , (iii) and (iv) , the maximum value is given by the function C = 5x + 3y , that is option2 .

Therefore , for C = 5x + 3y the cost found at the vertex (4,0) is maximum, the correct option is (1)C=5x+3y .

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Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.

The perimeter of a triangle = sum of its 3 sides.

Given the following:

Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:

AD = √(15² - 9²)

AD = 12 units

Use the trigonometric ratios to find DC and AC:

sin 30 = AD/AC

sin 30 = 12/AC

AC = 12/sin 30

AC = 24 units

tan 30 = AD/DC

tan 30 = 12/DC

DC = 12/tan 30

DC ≈ 20.8 units

BC = BD + DC = 9 + 20.8

BC = 29.8 units.

Perimeter of triangle ABC = BC + AB + AC

Perimeter of triangle ABC = 29.8 + 15 + 24

Perimeter of triangle ABC = 68.8 units.

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The argument is valid. According to modus tollens, the conclusion "I will not eat" logically follows

The argument follows a valid logical form known as modus tollens, which is a valid deductive argument form. Modus tollens states that if a conditional statement (e.g., "if A, then B") is true and the consequent (B) is false, then the antecedent (A) must also be false.

In this argument, the conditional statement is "If I'm hungry, then I will eat" (A = I'm hungry, B = I will eat), and the premise "I'm not hungry" establishes that the consequent (B) is false.

Therefore, according to modus tollens, the conclusion "I will not eat" logically follows

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer: 25 weeks

Step-by-step explanation:

Let W represent the number of weeks

Judy equation is

12W + 300

Cassie equation is

20W + 100

Now let's solve it! Our system of equation is

12W + 300 = 20W + 100

Subtract 300 from both sides

12W = 20W -200

Subtract 20W from both sides

-8W = -200

W = 25 weeks

So, it takes 25 weeks for Judy and Cassie to have the same amount saved.

Answer:

let judy = 300 + 12W

cassie = 100 + 20W

300 + 12W =  100 + 20W

300 - 100 = 20W - 12W

200 = 8W

W = 25

300 +  12(25) = 100 + 20(25)

300 + 300 = 100 + 500

600 = 600

Therefore, it will take 25 days for Judy and Cassie so that they have the same amount saved.

THE GRAPH IS IN THE PICTURE,line graph

Step-by-step explanation:

The shape and scale parameters have values of 4 and 2, respectively.

For Gamma distribution denoted by Gamma(k,θ) here k is the shape parameter and θ is the scale parameter.

What is shape parameter ?

A shape parameter affects the general shape of a distribution, as the name implies; they are a family of distributions with various shapes. The parameters are frequently calculated from recent data or occasionally extrapolated from historical statistical data.

What is scale parameter ?

Graphs have meaning thanks to scale settings. The scale in a typical normal model is equal to the standard deviation,. Even though the area under the graph is 1, you can't take any information from it without a scale. A standard normal distribution without any scaling parameters is shown in the top graph. 

The mean is given by the formula

Mean = kθ

And the variance is,

Variance = kθ^2

So now according to the given information we have,

θ=8

kθ^2=16

So dividing the two equations,

θ = 16/8=2

Using this in first equation,

kθ = 8

2k=8

k=4

So,

k=shape parameter=4

θ=scale parameter=2

Hence, The shape and scale parameters have values of 4 and 2, respectively.

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The slope of the plane's altitude gain is 1/7.

The slope of the plane's altitude gain can be calculated using the formula: slope = rise / run, where rise is the change in altitude and run is the horizontal distance covered.

In this case, the rise is 2000ft and the run is 14000ft. Therefore, the slope of the plane's altitude gain is:

slope = 2000 / 14000

slope = 1/7

This means that for every 7 units of horizontal distance covered by the plane, it gains 1 unit of altitude. In other words, the slope represents the steepness of the plane's climb. A slope of 1/7 indicates a relatively gentle climb compared to a steeper slope.

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triangle ABC with angle A and AC missing, we need to solve for the missing parts of the triangle.

Step-by-step explanation:We are given triangle ABC, with angle A and side AC missing. To solve for the missing parts of the triangle, we can use the properties of triangles and trigonometry.Let's start by finding angle A. We know that the sum of angles in a triangle is 180°.

Therefore, we can write:∠A + ∠B + ∠C = 180°

Substituting the values we know, we get:∠A + 60° + 45° = 180°

Simplifying the equation, we get:∠A = 180° - 60° - 45°∠A = 75°

Therefore, angle A measures 75°.Now, we can use trigonometry to find the length of side AC. Since we know the length of sides AB and BC, we can use the Law of Cosines to find the length of AC.

The Law of Cosines states that: c² = a² + b² - 2ab cos(C)

where a, b, and c are the lengths of sides of a triangle, and C is the angle opposite to side c.

Substituting the values we know, we get:AC² = AB² + BC² - 2(AB)(BC) cos(A

)AC² = 6² + 8² - 2(6)(8) cos(75°)

AC² = 36 + 64 - 96 cos(75°)

AC² = 100 - 96 cos(75°)

Using a calculator, we can find that cos(75°) = 0.2588. Substituting this value, we get:AC² = 100 - 96(0.2588)AC² = 100 - 24.8448AC² = 75.1552

Taking the square root of both sides, we get:AC ≈ 8.67

Therefore, side AC has a length of approximately 8.67 units.

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The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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Answer:

Each piece weighed 1/10 of a pound.

Step-by-step explanation:

We have 3/5 of a pound and we want to divide it by 6 equal pieces for each student. 6 equal pieces is the same as 6/1.

In order to divide 3/5 by 6/1 we need to invert the 6/1 and multiply. So, it becomes 3/5 x 1/6. First, we multiply the numerators: 3x1=3 then we multiply the denominators: 5x6=30. The result is 3/30, which can be reduced by dividing both the numerator and denominator by 3. 3/3=1 and 30/3=10. So, the result is 1/10.