The Fresnel integrals are defined by C(x) = cos t²dt and S(x) = sin tºdt. The Fresnel integrals are used in design applications for roadways and railways and other applications because of the curvature properties of the curve with coordinates (C(t), S(t)). This spiral looking curve has the prop- erty that if a vehicle follows the spiral at a constant speed it will have a constant rate of angular acceleration. This is why these functions are used in the design of exit ramps for highways and railways. (a) Let's start by finding the 10th degree Maclaurin polynomial for each integrand, i.e., cos(t²) and sin(t²), by substituting into the known series. (Note, each polynomial should have three terms.) cos(t²)~ sin(t²)~ (b) Let C₁1(x) be the 11th degree Maclaurin polynomial approximation to C(x) and let S₁1(x) be the 11th degree Maclaurin polynomial approximation to S(x). Find these two functions by integrating the 10th degree Maclaurin polynomials you found in (a).

The angle of inclination of the Earth's axis with its orbital plane is approximately 23.5 degrees.

The Earth's axis of rotation is an imaginary line that runs through the North and South Poles. This axis is tilted with respect to the plane of the Earth's orbit around the Sun. The angle of inclination between the Earth's axis and its orbital plane is known as the axial tilt or obliquity of the Earth. Currently, this tilt is approximately 23.5 degrees.

The axial tilt of the Earth is responsible for the changing seasons experienced in different parts of the world throughout the year. As the Earth orbits the Sun, different parts of the planet receive varying amounts of sunlight. During the summer solstice, which occurs around June 21st in the Northern Hemisphere, the North Pole is tilted towards the Sun, resulting in longer days and warmer temperatures.

Conversely, during the winter solstice around December 21st, the North Pole is tilted away from the Sun, leading to shorter days and colder temperatures. The axial tilt also affects the distribution of sunlight, which influences climate patterns and weather conditions on Earth.

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Answer: 7%

(Hope this is right.)

Step-by-step explanation:

Let's solve this using the information we have and an equation.

Shane: $32,000 - (Given)

Theresa: 18,000+14x, if x=1,160 - (Given)

---------------------------------------------------------------

Step two: (Theresa) 14(1,160) =16,240 (Algebra)

Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.

---------------------------------------------------------------

Finally,

They're asking for how much more she paid for her car as a percentage of what Shane paid.

34,240-32,000=2,240 and

2,240/32,000=0.07

0.07x100=7

Answer 7% more than what Shane paid.

Answer:

A)  Canned and Packet

    Grain, Meat and Vegetables

B)  Let C = canned goods, let P = packet goods

     20C + 7P

     Let G = grain, let M = meat, let V = vegetables

     7G + 3M + 17V

C)  The number of grain and packet goods are the same in each expression, as this food group has been packaged in the same way.

The other variables in both expression are different.  The meat and vegetable food groups have been separated in the second expression, whereas they are part of the same group in the first expression.

Answer: 36.25°

Step-by-step explanation:

Use SOHCAHTOA (sin, cosine and tangent)

SOHCAHTOA:

SOH: Sin(θ) = Opposite / Hypotenuse

CAH: Cos(θ) = Adjacent / Hypotenuse

TOA: Tan(θ) = Opposite / Adjacent

When you have an angle that you want to solve, look at what information you're given. In this problem, we're give nthe sides that are opposite to and adjacent to the angle we want to solve. So, we use TAN.

And just as a note, θ this symbol is called theta, and it represents an angle.

TAN(θ) = Opposite / Adjacent = 11/15

Then, use the inverse of tan (you can find the button on a calculator). You can use the inverse of sine, cosine or tangent whenever you want to switch them from one side of the equation to the other.

TAN(θ) = \(\frac{11}{15}\)

θ = \(tan^-1(\frac{11}{15} )\)

Then, using a calculator, solve. The answer is about 36.25°

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

\(\frac{382}{1000}\)

Step-by-step explanation:

Answer:

191/500

Step-by-step explanation:

We have

0.382

0.382 = 382/1,000

Simply 191/500 therefore answer is 191/500. How I got that was I divided .382/1,000 by 2 numerator and denominator.

Hope this helps

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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The distance between the two cities is 1305 miles

From the question, we have the following parameters that can be used in our computation:

1 inch = 300 miles

Also, we have

Distance = 4.35 inches

Multiply both sides of the scale by 4.35

So, we have

4.35 inches = 300 * 4.35

Evaluate the product

4.35 inches = 1305 miles

Hence, the distance is 1305 miles

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Answer:

(x+5)(x+2)

Step-by-step explanation:

x^2+7x+10

You need something that can go into 7x and 10.

2x5= 10 and 2+5=7

so, the answer would be (x+5)(x+2)

Answer:

Step-by-step explanation:

Answer: $43.33

Solution:

Sale price = Original Price x 1.20(discount)

Original price = Sales Price divided by discount

Therefore:

Original price = $52 / 1.2 = $43.33 dollars (just round)

While 2.6 grams of oxygen gas reacts, 2.925 grams of water will be produced.

The balanced chemical equation for the reaction is

2H2 O2 → 2H2O

According to the stoichiometry of the reaction, 1 mole of oxygen gas reacts with 2 moles of hydrogen gasoline to give 2 moles of water. The molar mass of oxygen gasoline( O2) is 32 g/ spook, and the molar mass of water( H2O) is 18 g/ mol.

To decide the quantum of water produced whilst 2.6 grams of oxygen gas reacts, we need to follow the subsequent way

Convert the presented mass of oxygen gas to moles

g O2 ×( 1 mol O2/ 32 g O2) = 0.08125 mol O2

Use the mole ratio from the balanced equation to decide the moles of water delivered

mol O2 ×( 2 mol H2O/ 1 mol O2) = 0.1625 mol H2O

Convert the moles of water produced to grams

mol H2O ×( 18 g H2O/ 1 mol H2O) = 2.925 g H2O

Accordingly, 2.925 gram of water will be produced while 2.6 gram of oxygen gas react.

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Answer:

Step-by-step explanation:

top one : surface area of a cone

middle one : surface area of a cylinder

last one: surface area of a pyramid

Answer:

2.5

Step-by-step explanation:

The Solution:

Given:

The roots of the quadratic equation are:

We are asked to find the second factor:

Therefore, the correct answer is 3x - 2 [ option 2 ]

Answer:

12/20= 6/10= 3/5

Step-by-step explanation:

take 4 times 3= 12

5 times 4= 20

and then simplify (at top)

Answer:

.6 because .8x.75 is that.

Answer:

3°

Step-by-step explanation:

33 +19x = 90     subtract 33 from both sides of the equation

19x = 57             divide both sides by 19

x = 3°

By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.

Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.

The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.

In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.

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Answer:

85cars

Step-by-step explanation:

(╯°□°）╯︵ ┻━┻(╯°□°）╯︵ ┻━┻

Answer:

C = 2pi(r)

= 2pi(5)

≈ 31.416

≈ 31.4

Answer:

Hello! answer: 31.4

Step-by-step explanation:

I'm using 3.14 for pi and

To find circumference you just have to do diameter × pi or radius × 2 × pi since we have the radius we can just do radius × 2 × pi so

5 × 2 × 3.14 = 31.4 so our circumfrence is 31.4 Hope that helps!!

Answer:

15

Step-by-step explanation:

180 / 4 = 45

180 / 3 = 60

Answer: 15

Step-by-step explanation:

To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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She will need to round up to 4 gallons to ensure she has enough paint for the job. we first need to find the total square footage of her room's walls.

Since there are four walls, the total square footage of the room's walls is 4 x 184 = 736 square feet. Since Maria wants to paint two coats on each wall, she will need twice the amount of paint.

Therefore, she needs to buy enough paint to cover 1472 square feet (736 x 2). Since one gallon of paint can cover 450 square feet, Maria will need 1472/450 = 3.27 gallons of paint. She will need to round up to 4 gallons to ensure she has enough paint for the job.

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If the distribution is skewed to the right, then mean > median

This is where the tail is pulled to the right due to large outliers. Those outliers pull on the mean.

A i think maybe

:>..,.h,j.

Answer:

30

Step-by-step explanation:

use Pythagoras theorem at first to find the third side of the triangle it will come 5

then use the formula to find the area of triangle

A=(5x12)/2=30cm2