Eginning at 15,000 feet, a commercial jetliner begins climbing at a rate (in feet per minute) given by f(t)=e0.4t+8 f ( t ) = e 0.4 t + 8 with 0≤t≤20 0 ≤ t ≤ 20 where t t is the time in minutes since the aircraft began climbing. Use the Net Change Theorem to determine the aircraft's elevation after climbing for 15 15 minutes. Round the answer to the nearest foot.

The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = 1.5 d + h0.

The height of the tent is 22. 5 feet at a horizontal distance of 15 feet.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.

This can be written as -

h = 1.5 d, where d is the distance.

So, the equations that models the situation is -

h = 1.5 d + h0

The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge.

So, when d =20, then h =30.

Plugging the values in the equation -

30 = 1.5 (20) + h0

30 = 30 + h0

h0 = 0

The height of the tent is 22. 5 feet.

So, now h = 1.5 d and h = 22.5.

Equating these two -

22.5 = 1.5 d

d = 22.5/1.5

d = 15

Therefore, the distance value is obtained as 15 feet.

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Therefore , the solution of the given problem of triangle comes out to be  A'(1, 0) (1, 0) , B'(1, 2) (1, 2) and C'(3,-2) (3,-2).

The fact that a triangle has four segments or vertices qualifies it as a polygon. It is an elementary geometric form. The name given to a triangle with endpoints A, B, then C is Triangle ABC. A singular plane and square are obtained in Euclidean geometry when the edges are not collinear. Any triangle that has three sides and three corners is a polygon. The triangle's corners are the spots at which its three sides intersect. 180 degrees is the result of three triangle angles.

Here,

The image A'B'C' is formed by our transformation rule, (+3,y-2)

So:

1. Describe the updated coordinates for points A', B', and C'?

In order to locate these new positions, we have:

A' (-23, 2-2)  =>    A'(1, 0) (1, 0)

B' => (-23, 4-2)    =>   B'(1, 2) (1, 2)

C'=> (0+3,0-2) => C'(3,-2) (3,-2)

2. Explain the qualities that would emerge if the respective vertices were linked together by lines.

We can notice the two triangles on the First Figure if we look closely. The green one is A'B'C, while the red one would be the triangle ABC.

The equivalent vertices with in second figure have been joined together by line segments, as shown by the green lines.

Two things can be said about those three lines: first, they are parallel, and second, they are all the same length.

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Answer:

[tex]J.(x,y)[/tex] → [tex](9x,9y)[/tex]

[tex]--------[/tex]

hope it helps..

have a great day!!

An example of a quadratic function that has a maximum value is the parabola defined by the equation y = -(x-3)^2 + 4.

A quadratic function is a type of polynomial function that can be written in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which can either open upward or downward depending on the value of the leading coefficient (a).

An equation is a mathematical statement that asserts the equality of two expressions. It is usually written with an "=" sign between the two expressions, such as y = 2x + 3 or x^2 + y^2 = 1. Equations can be used to model real-world situations, and solving an equation means finding the values of the variables that make the equation true.

We can determine that this function has a maximum value by looking at the leading coefficient of the quadratic term (x^2). In this case, the coefficient is -1, which means that the parabola opens downward. Therefore, since the parabola opens downward, the vertex of the parabola is the highest point of the parabola, which means that it is a maximum point.

Also we can find the vertex of the parabola by using the formula x = -b/2a, in this case x= -0 / 2*-1 = 3/2 =1.5, and using this value in the function, we get the y value which is 4, so the vertex is (1.5,4) which confirms that the function has a maximum value at (1.5,4)

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Answer: a circular movement

Step-by-step explanation: rotation has a central point that stays fixed and everything else moves around that point in a circle.

EX) a full rotation is 360

Answer:

a?

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4^(4)=256, I'm pretty sure that's the answer. i looked up and after some research found that.

Answer: 256

Step-by-step explanation:

Easiest way is to do 4x4x4x4

Answer:

the answer is e. i hope this helps :)))

Answer:

$56 or $4 left over from $60

$ 56 o $ 4 sobrantes de $ 60

Step-by-step explanation:

4 2/3 pizzas would cost $56

4 2/3 pizzas costarían $ 56

Answer:Yes

Step-by-step explanation: It is a right triangle as if you imagine it, you can see that is half of a square, holding a right angle within it.

Answer:

Area of figure = 68.13 feet² (Approx.)

Step-by-step explanation:

Given:

Length of rectangle = 9 ft

Width of rectangle = 6 ft

Diameter of semicircle = 6 ft

Find:

Area of figure

Computation:

Radius of semicircle = Diameter of semicircle / 2

Radius of semicircle = 6 / 2

Radius of semicircle = 3 ft

Area of figure = Area of rectangle + Area of semicircle

Area of figure = [Length x( Width] + [πr²]/2

Area of figure = [9 x 6] + [(3.14)(3)²]/2

Area of figure = [54] + [(3.14)(9)]/2

Area of figure = [54] + [28326]/2

Area of figure = [54] + [14.13]

Area of figure = 68.13

Area of figure = 68.13 feet² (Approx.)

9514 1404 393

Answer:

  3(x)(4x -3)(2x -5)

Step-by-step explanation:

First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...

  (3x)(8x^2 -26x +15)

Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.

  120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

The sums of these factor pairs are ...

  121, 62, 43, 34, 29, 26, 23, 22

The pair with a sum of 26 is highlighted.

Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:

  8x^2 -20x -6x +15

Now, the quadratic can be factored by grouping:

  =  (8x^2 -20x) +(-6x +15)

  = 4x(2x -5) +3(-2x +5)

Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...

  = (4x -3)(2x -5) . . . . . note the sign gets attached to the 3

So, the complete factorization of the original expression is ...

  24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)

Answer:

Whom are you asking????

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Answer:

America

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Answer:

A recursive sequence , also known as a recurrence sequence, is a sequence of numbers indexed by an integer and generated by solving a recurrence equation. The terms of a recursive sequences can be denoted symbolically in a number of different notations, such as , , or f[ ], where. is a symbol representing the sequence.

Step-by-step explanation:

I hope this helps?

Answer:

A recursive sequence ,  a sequence of numbers indexed by an integer and generated by solving a recurrence equation.

Answer:

d=52 e=77 f=51

Step-by-step explanation:

The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360

Answer:

d = 52

e = 77

f = 51

Hope this helps!

Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:

Odds in favor = probability of event occurring / (1 - probability of event occurring)

In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:

Odds in favor = 0.56 / (1 - 0.56)

= 0.56 / 0.44

= 1.27

So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.

It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.

Step-by-step explanation:

The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11

A large interquartile range shows the range in values of the central 50% of the data.

Rewrite the equation in slope-intercept form

5x -2y = 28

Subtract 5x from both sides

-2y = -5x + 28

Divide both sides by -2

Y = 5/2x -14

The y intercept is -14

Answer:

Solution given:

5x-2y=28

5x-28=2y

y=5/2x-14

comparing above equation with y=MX+c

where

c=y intercept=-14

-14 is a required answer.

Answer:

ok ok ok i gotchuu

Step-by-step explanation:

Answer:

ok will do!

Step-by-step explanation:

Answer:

Part A

The angular difference of their longitude is approximately 50.65°

Part B

The location of B is on the longitude of approximately 30.65°E

Step-by-step explanation:

Part A

The given parameters are;

The location of the points A and B = Along the parallel of latitude 60°

The radius of the Earth, R = 6,371 km

The radius at the 60° parallel of latitude, r = R × cos(θ)

∴ r = 6,371 × cos(60°) = 3,185.5

The circumference of the 60° parallel of latitude, C₆₀ = 2 × π × 3,185.5

The angle subtended by the arc formed by their distance apart, θ₁, is given as follows;

θ₁ = 2,816/(2 × π × 3,185.5) × 360 ≈ 50.65°

The angular difference of their longitude, θ₁ ≈ 50.65°

Part B

Given that the location of A is on the longitude 20°W and A is due west of B, we have the location of B is on the longitude (50.65° - 20°)E = 30.65°E

The location of B is on the longitude of approximately 30.65°E.

Answer:

7/22 or 0.31818...

Step-by-step explanation:

have a good day!! :)

Answer:

3rd one

Step-by-step explanation:

Answer

Option A

61 in, 60 in, 11 in. represents three sides of a right triangle

Step-by-step explanation:

By Using Pythagorean Triplet we can say that

61 in, 60 in, 11 in. represents three sides of a right triangle

(11)² + (60)² = (61)²

121 + 3600 = 3721

3721 = 3721

Thus, 3721 = 3721 represents three sides of a right triangle

-TheUnknownScientist

Answer:

5/6

Step-by-step explanation:

When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.

3 1/3 must be converted to an improper fraction before we can do this, though.

3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.

Now we can divide. Remember 4 is the same thing as 4/1

10/3 ÷ 4/1

Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.

It ends up looking like 10/3 x 1/4

Multiply: 10 x 1 and 3 x 4

It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.

The final answer is 5/6

Answer:

a^2+b^2=c^2

a^2+9=25(5*5)

therefore ,a^2=25-9=16

√16=4

   sides are 4 cm,3 cm,5 cm

Step-by-step explanation:

[tex]4.[/tex]

Step-by-step explanation:

Pythagoras theorem says that "In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides". As the Hypotenuse side is already yet given and one of the side of a triangle value is given. Now we should find the value for other side of a triangle. In order to find the value of other side, we should use the Pythagoras theorem formula.

AC² = AB² + BC²

Let AC be the Hypotenuse side, AB and BC be the other two sides of a triangle.

Given:-

AC = 5, AB = 3, BC = ?

Use Pythagoras theorem formula

AC² = AB² + BC²

5² = 3² + BC²

25 = 9 + BC²

25 - 9 = BC²

16 = BC²

√16 = BC

BC = 4.

Answer:

x = -2

Step-by-step explanation:

[tex]8^{x}[/tex] = [tex]\frac{1}{64}[/tex]

So to solve exponent.

8x=  1 /64

log(8x)=log( 1/ 64 ) (Take log of both sides)

x*(log(8))=log( 1 /64 )

x= log( 1 /64 ) /  log(8)

x=−2

Hope this helps!

Answer:

1 - 2 1/4

2 - 2 2/4 (simplified) 2 1/2

3 - 7 3/11

4 - 2 1/7

5 - 7 3/8

6 - 4 3/10

7 - 6 2/8 (simplified) 6 1/4

8 - 6 10/12 (simplified) 6 5/6

9 - 6 2/4 (simplified) 6 1/2

10 - 4 1/2

11 - 5 1/8

12 - 3 2/3

13 - 6 5/12

14 - 2 3/5

15 - 5 2/3

_______________________________________

1 - 42/5

2 - 20/3

3 - 27/5

4 - 52/7

5 - 10/3

6 - 17/3

7 - 40/11

8 - 28/5

9 - 29/3

10 - 25/3

11 - 86/9

12 - 11/3

13 - 15/2

14 - 5/2

15 - 38/7

Answer:

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

here we go~

[tex]\qquad \sf  \dashrightarrow \: 4x {}^{2} - 25y {}^{2} [/tex]

[ identity : a² - b² = (a + b)(a - b) ]

[tex]\qquad \sf  \dashrightarrow \: (2x) {}^{2} - (5y) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 5y)(2x - 5y)[/tex]