(stagnation pressure) a hang glider soars through standard sea-level air with an airspeed of 11.3 m/s. what is the gage pressure at a stagnation point on the structure?

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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The sum of all the positive two-digit integers where one of the digits is three times the other is 630.

To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.

For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.

For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.

The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.

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Answer:

<a=32

<b=40

<c=40

Step-by-step explanation:

to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be

180-50=130

after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180

130+18+a=180

a=180-148

a=32 and that's how you find a

to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180

18+90+B=180

B=180-108

=72

since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72

c=72-32

=40

then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40

I hope this helps

The sequence will be; 8/49, 14/49, 20/49, 26/49

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that the sequence as;

8/49, 2/7, 20/49, 26/49

so, we can see the pattern as the denominator is the multiple of 7.

So multiply the second term by 7.

2/7 = 14/49

therefore, the sequence will be;

8/49, 14/49, 20/49, 26/49

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The annual scholarship payment for a perpetual scholarship with a $100,000 endowment and a 7% discount rate would be $7,000.

To calculate the annual scholarship payment, we need to determine the amount that can be withdrawn from the endowment each year while still preserving its value over time. The discount rate of 7% represents the college's desired rate of return on investments.

Using the concept of present value, we can calculate the annual payment as a percentage of the initial endowment. The formula for present value is:

Present Value = Annual Payment / Discount Rate

In this case, we want to find the annual payment, so we rearrange the formula:

Annual Payment = Present Value * Discount Rate

Since the present value is the initial endowment of $100,000, and the discount rate is 7%, the calculation is as follows:

Annual Payment = $100,000 * 0.07 = $7,000

Therefore, to maintain the perpetual scholarship, the college would need to make an annual payment of $7,000. This amount is determined by the combination of the initial endowment and the discount rate, ensuring that the scholarship remains sustainable over time.

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Answer:

Since you did not provide any other information, I did some research and might have found the original question/ answer choices. If this is the correct question, then your answer should be D.)

Answer : The correct series circuit  is, (D)

Explanation :

Parallel circuit : In this circuit, the potential across each of the components are same but the current flow in the circuit is equal to the sum of the current flow of each components.

That means in this circuit, the potential across the circuit is same but current is different.

where, 'I' is current.

Series circuit : In this circuit, the current flow each of the components are same but the potential across the circuit is equal to the sum of the potential of each components.

That means in this circuit, the current flow across the circuit is same but potential is different.

where, 'V' is potential.

From the given circuits, the circuit D is the series circuit. while the other circuits are parallel circuits.

Hence, the given circuit (D) is a type of series circuit.

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Answer:

g(- 8) = 20

Step-by-step explanation:

substitute x = - 8 into g(x) , that is

g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20

Answer:

The very first thing we want to do in this equation is to isolate x on one side (preferably the left side).

3/x - 4 = 1/5

We get rid of any constants first, by performing the inverse property;

The inverse property of subtraction is addition, so we add 4 to both sides:

+4        +4

3/x = 4 1/5

3 is being divided by x, so the inverse operation of division is multiplication. So we multiply by 1/3 on both sides.

x1/3    x1/3

X = 1 4/10 which simplifies to 1 2/5.

Answer:

Step-by-step explanation:

Calculate fraction of boys

If girls =3/5, then boys = 1 - 3/5 = 2/5.

Calculate fraction of students absent

Girls - 2/5 of 3/5 = 6/25

Boys - 1/3 of 2/5 = 2/15

6/25+2/15=28/75

Calculate total number of students

If 28/75 = 280

280/28=10

10x75=750

Total number of students = 750

Answer:

Mean = 10.5

Median = 7

Step-by-step explanation:

Mean:

8 + 7 + 7 + 5 + 41 + 7 + 6 + 3 = 84

84/8 = 10.5

Median:

3, 5, 6, 7, 7, 7, 8, 41

= 7

The array's valid indexes are 0 through 24. Integers array int myArray[25] constitutes a 25-piece array of the type integer. As a result, choice B is the right one.

An index (as well as indexes) in mathematics is the power and exponent applied to a number and variable. For instance, with the number 24, the ranking of 2 is 4. The plural of the term is indexes. Algebraic ideas include constants and variables. A constant is an unchangeable number. Integers array int myArray[25] represents a 25-piece array of the type integer. At index =0 through index =size-1=25-1=24, the array begins.

Therefore, the correct option is option B.

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Answer:-10.75

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

The required solution is 15.

It is required to find the solution.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

By the distance formula we get,

Distance between -3 and 12 is

=12-(-3)

=15

Therefore, the required solution is 15.

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An example of two complementary nonadjacent angles is ∠ABC and ∠CDE.

Complementary angles are two angles whose measures add up to 90 degrees. In the case of nonadjacent angles, they are angles that do not share a common side or vertex. Therefore, to satisfy the condition of two complementary nonadjacent angles, we can consider the angles ∠ABC and ∠CDE.

∠ABC and ∠CDE are nonadjacent angles because they do not share a common side or vertex. If the measure of ∠ABC is, for example, 30 degrees, then the measure of ∠CDE would be 60 degrees, since their sum equals 90 degrees (30 + 60 = 90). Thus, ∠ABC and ∠CDE are an example of two complementary nonadjacent angles.

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The factor form of the quadratic equations are listed below:

Case 13: (b - 4) · (b - 2)

Case 14: (n + 4) · (n + 2)

Case 15: 2 · (n + 9) · (n - 6)

Case 16: 5 · (n + 2)²

Case 17: 2 · (k + 5) · (k + 6)

Case 18: (a - 10) · (a + 9)

Case 19: (p + 10) · (p + 1)

Case 20: 5 · (v - 2) · (v - 4)

Case 21: 2 · (p + 2) · (p - 1)

Case 22: 4 · (v - 2) · (v + 1)

Case 23: (x - 10) · (x - 15)

Case 24: (v - 5) · (v - 2)

Case 25: (p + 6) · (p - 3)

Case 26: 6 · (v + 10) · (v + 1)

In this problem we find quadratic equations of the form a · x² + b · x + c, whose factor form is introduced below:

a · x² + b · x + c = a · x² + a · (- r₁ - r₂) · x + a · r₁ · r₂ = a · (x - r₁) · (x - r₂)

Where r₁, r₂ are real roots.

Now we proceed to present the factor form of each quadratic equation:

Case 13

b² - 6 · b + 8 = (b - 4) · (b - 2)

Case 14

n² + 6 · n + 8 = (n + 4) · (n + 2)

Case 15

2 · n² + 6 · n - 108 = 2 · (n² + 3 · n - 54) = 2 · (n + 9) · (n - 6)

Case 16

5 · n² + 10 · n + 20 = 5 · (n² + 2 · n + 4) = 5 · (n + 2)²

Case 17

2 · k² + 22 · k + 60 = 2 · (k² + 11 · k + 30) = 2 · (k + 5) · (k + 6)

Case 18

a² - a - 90 = (a - 10) · (a + 9)

Case 19

p² + 11 · p + 10 = (p + 10) · (p + 1)

Case 20

5 · v² - 30 · v + 40 = 5 · (v² - 6 · v + 8) = 5 · (v - 2) · (v - 4)

Case 21

2 · p² + 2 · p - 4 = 2 · (p² + p - 2) = 2 · (p + 2) · (p - 1)

Case 22

4 · v² - 4 · v - 8 = 4 · (v² - v - 2) = 4 · (v - 2) · (v + 1)

Case 23

x² - 15 · x + 50 = (x - 10) · (x - 15)

Case 24

v² - 7 · v + 10 = (v - 5) · (v - 2)

Case 25

p² + 3 · p - 18 = (p + 6) · (p - 3)

Case 26

6 · v² + 66 · v + 60 = 6 · (v² + 11 · v + 10) = 6 · (v + 10) · (v + 1)

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Answer:

The circle's center is at (5, -2)

The radius is 4

Equation is

(x -5)^2 + (y - - 2)^2 = 4^2

(x -5)^2  + (y +2)^2 = 16

http://www.1728.org/circle.htm

Step-by-step explanation:

The equation of the circle is \((x-h)^{2} +(y-k)^{2} =r^{2}\)

Thus the equation of the circle is:

  \((x+6)^{2} +(y-6)^2=10\)

Hope that helps!

Answer:

\(\displaystyle 1\frac{1}{8}\) ft³

Step-by-step explanation:

     First, the box is one foot tall. In other words, it has a height of 1 foot. Since one cube is equal to \(\frac{1}{4}\) ft, and the box is four cubes tall,

\(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft = 1 foot

    Now, it has a width of  \(\frac{3}{4}\) ft because, as stated above, one cube is equal to \(\frac{1}{4}\) ft. The box has three cubes making up the width.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{3}{4}\) ft

   Next, it has a length of  \(\frac{3}{2}\) ft because, as stated twice above, one cube is equal to \(\frac{1}{4}\) ft. The box has six cubes making up the length.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{6}{4}\) ft = \(\frac{3}{2}\) ft

  Lastly, we will solve for the full volume of the box.

V = L * W * H

V = \(\frac{3}{2}\) ft * \(\frac{3}{4}\) ft * 1 ft

V = \(\displaystyle \frac{3*3*1}{2*4}\) ft³

V = \(\displaystyle \frac{9}{8}\) ft³

V = 1  \(\displaystyle \frac{1}{8}\) ft³

Answer:

D \(1 \frac{1}{8}\) ft³

Step-by-step explanation:

V= area of base * h

A of base= 3(1/4) × 6(1/4) = 18

↓

a of base = 0.75 x 1.5 = 1.125

=

1.125 x 4(1/4)

↓

1.125 x  1 = 1.125

1.125 = x/y ⇒ \(1 \frac{1}{8}\)

Your answer is D \(1 \frac{1}{8}\) ft³

Hope this helps! Let me know if you have any questions. Have a great day!

The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

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Answer:

$134217728

Step-by-step explanation:

Day 1: $1

Day 2: $2

Day 3: $4

Day 4: $8

Day 5: $16

Day 6: $32

Day 7: $64

Day 8: $128

Day 9: $256

Day 10: $512

Day 11: $1024

Day 12: $2048

Day 13: $4096

Day 14: $8192

Day 15: $16384

Day 16: $32768

Day 17: $65536

Day 18: $131072

Day 19: $262144

Day 20: $524288

Day 21: $1048576

Day 22: $2097152

Day 23: $4194304

Day 24: $8388608

Day 25: $16777216

Day 26: $33554432

Day 27: $67108864

Day 28: $134217728

Answer:

Step-by-step explanation:

In the given triangle AED,

Points B and D are the midpoints of sides AD and AE.

a). Therefore, AB = \(\frac{1}{2}(AD)\)

   AB = \(\frac{90}{2}\) = 45 ft

b). AE = 2(AC)

   AE = 2(30)

   AE = 60 ft

c). By mid-segment theorem,

   BC = \(\frac{1}{2}(DE)\)

   BC = \(\frac{50}{2}=25\) ft

d). EC = AC = 30 ft

Answer:

angle 6 is 30 degrees

Step-by-step explanation:

its because 180/6 = 30

and 30 x 5 = 150 and 150 + 30 =180

hope this helps

Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

How many people are sitting at a table that is not full?

or

How many tables are needed for all 5,426 people?​

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Answer:

C

Step-by-step explanation:

M is t so 15x400 will b C

Answer:

True

Step-by-step explanation:

The gradient is equal to the rise in elevation/distance.

The correct answer is "rise." What is the gradient? The term "gradient" refers to the amount of steepness or slope in a surface, represented by a number or percentage. The gradient is calculated as the change in elevation divided by the change in distance.

As a result, the gradient is measured in units of elevation per distance, such as feet per mile or meters per kilometer. The formula for the gradient is given by:Gradient = Rise / RunWhere rise is the change in elevation and run is the change in distance.

The gradient, on the other hand, indicates the steepness or slope of a surface. It represents the angle of the slope and the direction of flow of a stream, among other things. It's also used to figure out the water flow rate in a pipeline or open channel.

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Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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The angle between the ladder and the ground is - 0.075 rad/s.

Pythagoras' theorem is a essential relation in Euclidean geometry among the 3 facets of a proper triangle. It states that the region of the rectangular whose aspect is the hypotenuse (the aspect contrary the proper angle) is identical to the sum of the regions of the squares on the alternative  facets.

cosθ = x/10

On differentiating the above equation,

- sinθdθ/dt = (1/10)dx/dt

dθ/dt = -(1/10)dx/dt/sinθ

sinθ = y/10

= √(100 - 36)/10

= 0.8; dθ/dt

= -(1/10)·0.6 ft/s/0.8

= - 0.075 rad/s

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Answer:

.73 is the answer. Hope this helps! Brainliest?

Answer:

0.72727272

nearest hundredth =0.73