The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 10 meters per second, what is the kinetic energy?

200,000 Joules
10,000 Joules
50,000 Joules
5,000 Joules

[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

For the first integral, z = π/4 is a pole of order 3 and lies inside the contour |z| = 1. Compute the residue:

[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = \lim_{z\to\frac\pi4}\frac1{(3-1)!} \frac{d^{3-1}}{dz^{3-1}}\left[e^z\cos(z)\right][/tex]

We have

[tex]\dfrac{d^2}{dz^2}[e^z\cos(z)] = -2e^z \sin(z)[/tex]

and so

[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = - \lim_{z\to\frac\pi4} e^z \sin(z) = -\frac{e^{\pi/4}}{\sqrt2}[/tex]

Then by the residue theorem,

[tex]\displaystyle \int_C \frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3} \, dz = 2\pi j \left(-\frac{e^{\pi/4}}{\sqrt2}\right) = \boxed{-\sqrt2\,\pi e^{\pi/4} j}[/tex]

For the second integral, z = 2j and z = j/2 are both poles of order 2. The second poles lies inside the rectangle, so just compute the residue there as usual:

[tex]\displaystyle \mathrm{Res}\left(\frac{\cosh(2z)}{(z-2j)^2\left(z-\frac j2\right)^2}, z=\frac j2\right) = \lim_{z\to\frac j2}\frac1{(2-1)!} \frac{d^{2-1}}{dz^{2-1}}\left[\frac{\cosh(2z)}{(z-2j)^2}\right] = \frac{16\cos(1)-24\sin(1)}{27}j[/tex]

The other pole lies on the rectangle itself, and I'm not so sure how to handle it... You may be able to deform the contour and consider a principal value integral around the pole at z = 2j. The details elude me at the moment, however.

Answer:

a. A(x) = 3x² - 8x + 5

b. x = ⁸/₃

Step-by-step explanation:

a.

A(x) = shaded area

A(x) = (2x - 3)² - (x - 2)²

= 4x² - 12x + 9 - (x² - 4x + 4)

= 4x² - x² - 12x + 4x + 9 - 4

= 3x² - 8x + 5

b.

ΔABF area = ⁵/₄ cm²

A(x) = 4(⁵/₄)

= 5

Substitution:

3x² - 8x + 5 = A(x) = 5

3x² - 8x + 5 = 5

3x² - 8x = 0

x(3x - 8) = 0

3x - 8 = 0

x = ⁸/₃

x = 0

Since x > 2, x = 0 is not valid;

So, x = ⁸/₃

Answer:

11 hours

Step-by-step explanation:

8t + 7 > 89

8t > 81 : subtract 7 from both sides

t > 10.125 : divide by 8 for both sides

t = 11 : estimate

Trey has to work 11 hours because 10 hours would only give him $87.

Answer:

1) x > -2

2) x < -1

Step-by-step explanation:

1) 2(x - 2) + 7 > -1

2x - 4 + 7 > -1

2x + 3 > -1

2x > -4

x > -2

2) 5 - 4x > 9

-4x > 4

x < -1

Answer:

Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1. We are given that Elevator 1 is "+12 feet" and Elevator 2 is "-15 feet" meaning 15 feet below that of Elevator 1 (because they said it was where it was at Elevator 1 ground level prior), so this should be your answer "A".

Step-by-step explanation:

1 a

I will set it up.

Let a = adults

Let s = seniors

The first equation is a + s = 325.

The second equation is 9a + 7s = 2504.

Here is your system of equations:

{a + s = 325

{9a + 7s = 2504

Take it from here.

Answer:

D: A rectangle and an isosceles triangle​

Step-by-step explanation:

A recangle for the base of the arrow, and an isosceles triangle​ to form the full arrow.

The answer will be option D which is a rectangle and an isosceles triangle.​

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.

Thus the answer will be option D which is a rectangle and an isosceles triangle.

To know more about the isosceles triangle follow

https://brainly.com/question/1475130

#SPJ2

Answer:

-8

Step-by-step explanation:

3-11=-8

Answer:

8

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

3/4-1/28

21/28-1/28

20/28

simplify

5/7

Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

learn more about algebra here: https://brainly.com/question/14569336?referrer=searchResults

Answer:

x = 35

Step-by-step explanation:

First, set both equations equal to each other because it is the same angle (congruent)

6x - 20 = 4x + 50

-4x and +20 to both sides of the equation and you end up with:

2x = 70

divide both sides by 2 and:

x = 35

Answer:

14

Step-by-step explanation:

because both sides need to be equal so if u plug in the 14 in x it gives you the same number for both sides 107.

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

Hence:

[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]

Total outcomes:

Four marbles are taken from a set of 13, hence:

[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]

0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,

Answer: 4y3(1x1 - 12)

3x4y3 – 48y3

4y3(1x1 - 12)

Answer:

180° - (61° + 61°) = 58°

Step-by-step explanation:

we can see that two sides of the angle are equilateral making it equiangular therefore the other angle is 61° and solve for <FED

Answer:

c

Step-by-step explanation:

each shape has one more side than the other

the last shape in the pattern so far has 5

the shape at letter c has 6

therefore it is c

Answer:

40% of airline A's flights were on time

Step-by-step explanation:

0.4=40% .the top row indicates that it was airline A. the left column indicates that it was on time.

Answer:

B

Step-by-step explanation:

happy holidays

The different selections of one meat and one vegetable are possible are 18 selections.

Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.

Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.

So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6

= 18 selections

So, the different selections of one meat and one vegetable are possible are 18 selections.

Learn more about combination here:

https://brainly.com/question/19341024

Answer:

y = -30

Step-by-step explanation:

3 (y + 8) = 2y - 6

3y + 24 = 2y -6                Distribute the 3

y + 24 = -6                       Subtract 2y on both sides

y = -30                              Subtract 24 on both sides

Area = length x width

Area of square = 8 x 8 = 64 square inches

Area of rectangle = 24 x 20 = 480 square inches

Area of rectangle surrounding the square = 480 - 64 = 416 square inches

Answer: 416 square inches

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25

Using the slope of the linear function, it is found that:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem:

Two of the points are: (0,0) and (2,1).

[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]

Then, applying the interpretation:

To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

hes correct. the slope is 0.5 and it grows 0.5 inches everyday

Step-by-step explanation:

Answer:

x<-3

Step-by-step explanation:

Answer:

8, 2.

Step-by-step explanation:

2*4 is 8 so I think line them up together and 12/6 is 2