A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak. Which formula represents this scenario?

f(x) = 54(two-thirds) Superscript x
f(x) = 54(two-thirds) Superscript x minus 1
f(x) = Two-thirds(54)x
f(x) = Two-thirds(54)x – 1

Answer:

Seems like 7 of them failed

Step-by-step explanation:

The chart pretty much tells you

Answer:

7 students

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Since the polygons are similar, the ratios of their respective sides are equal.

32/24=(x-1)/6

x-1=8

x=9

Answer:

x=2,y=3

Step-by-step explanation:

x-2=0

x=2

y-3=0

y=3

Answer:

1,050

Step-by-step explanation:

It’s in my notebook, so I can’t show

Answer:

y = 5

Step-by-step explanation:

if y = 5 then

(√10-1) -1 = 2

3 - 1 = 2

true

Answer:

y = 5

Step-by-step explanation:

Answer:

I'm going to make an uneducated guess here.

I think the probability of two engines failing would be the same for either aircraft. In the instance that does happen, the helicopter doesn't fly at all and the airplane does.

I say the airplane is safer.

Step-by-step explanation:

So, the plane is safer than the helicopter.

The formula for finding the probability by Binomial distribution is,

[tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]

For Helicopter,

We need to calculate, Probability of safe landing, [tex]P(X = 0)[/tex]

Here, [tex]n = 2, p = 0.99, (1 - p) = 0.01\ and\ x = 1[/tex]

As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]

We need to calculate [tex]P(X \ge 1).[/tex]

[tex]P(X \ge1) = (2_C_1 \times 0.99^1 \times 0.01^1) + (2_C_2 \times 0.99^2 \times 0.01^0)\\P(X \ge1) = 0.0198 + 0.9801\\P(X \ge 1) = 0.9999[/tex]

For Plane,[tex]P(safe\ landing)[/tex]

Here, [tex]n = 4, p = 0.99, (1 - p) = 0.01\ and\ x = 2[/tex]

As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]

We need to calculate P(X >= 2).

[tex]P(X \ge 2) = (4_C_2 \times 0.99^2 \times 0.01^2) + (4_C_3 \times 0.99^3 \times 0.01^1) + (4_C_4 \times 0.99^4 \times 0.01^0)\\P(X \ge 2) = 0.0006 + 0.0388 + 0.9606\\P(X \ge2) = 1\\[/tex]

Learn more about the topic Binomial distribution:

https://brainly.com/question/26096510

Answer:

$35

Step-by-step explanation:

188-48 gives you the 4x what he saved

140/4 gives you the total which is 35.

Answer:

23.31 ft

Step-by-step explanation:

Reference angle = 47°

Opp = 25 ft

Adj = x

Apply trigonometry ratio TOA:

Tan 47 = Opp/Adj

Tan 47 = 25/x

x*Tan 47 = 25

x = 25/Tan 47

x = 23.3128772 ≈ 23.31 ft (to 2 d.p)

Answer:

4y + 8 vegetable seeds

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

We know that Frank has 2 gardens, one with y vegetable seeds and another with 3y + 8 vegetable seeds. If we are trying to find the total amount of seeds planted, we must add the 2 gardens together:

Garden 1: y

Garden 2: 3y + 8

Garden 1 + Garden 2 = Total veggie seeds

y + 3y + 8 = Total veggie seeds

Total veggie seeds = 4y + 8

la escalera tiene que ser de 2.30mts

Answer:

Mr.Tuyen uses 3 1/8 tanks of gas in 5 weeks. The improper fraction version would be 25/8 if that is what you're looking for

Answer:

Step-by-step explanation:

18. x + 25 = 55

     x = 30

19. 2x - 5 = 95

     2x = 100

      x = 50

20. 3x - 22 = 2x + 26

     x - 22 = 26

     x = 48

21. 3x - 18 + 105 = 180

    3x + 87 = 180

    3x = 93

      x = 31

22. 19x + 17x = 180

      36x = 180

       x = 5

   27(5) = 135

23. 5x + 40 + 2x = 180

7x + 40 = 140

7x = 140

x = 20

5(20) = 100

2(20) = 40

5(20) + 40 = 100 + 40 = 140

Answer:

We have 4 triangles with base 3 and height 4 and a square with side length 3 so:

Triangles:

The area for a triangle is calculated by [tex]\frac{bh}{2}[/tex] where b is the base and h is the height so we have [tex]\frac{12}{2}\cdot 4[/tex] so we have a total area of 24.

[b]Square:[/b]

The area of a square is calculated by [tex]s^{2}[/tex] where s is the side length so we have the area is 9.

Now we put them together for the surface area so we get 24 + 9 = [tex]\boxed{33}[/tex]

Hope this helped!

(sorry for taking so long, TeX takes so long to type out(Math typesetting software))

Answer:

I think it's 1,125 and 4485

Step-by-step explanation:

25x13x3

115x13x3

Answer:

4.64

Step-by-step explanation:

If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!

Answer:

$4.64

Step-by-step explanation:

3 x 1.45 = 4.35

1.45 x .2 = .29

4.35 +.29 = 4.64

Answer:

I think it should be 9 because 9x4 is 36

Answer:

i dont know i just need points for more questions sorry

Step-by-step explanation:

Answer:

Yellow= 1/2 or 50%chance

Red= 1/5 or 20% chance

Blue= 1/5 or 20% chance

Green= 1/10 or 10% chance

Step-by-step explanation:

There are 10 game pieces

5 are yellow

2 are red

2 are blue

And 1 is green

5/10=1/2=50%

2/10=1/5=20%

2/10=1/5=20%

1/10=10%

Add these up and you get 10/10 or 100%

Hope this helps and don't forget to follow!

Answer:

200

Step-by-step explanation:

100✓9283+374+_+38_+_+_("#9#9_+

Answer:

x = 6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

21, 6, 12

Step-by-step explanation:

your welcome:)

Answer

24

Step-by-step explanation:

you are adding by 10

-16+10=-6

-6+10=4

4+10=14

14+10=24

Answer:

1:(x-6)²

2:(9-8x)²

Step-by-step explanation:

1: (x-6)(x-6)=(x²-36)

2:(9-8x)(9-8x) = (81 - 64x²)

Answer:

Angle 6

Step-by-step explanation:

The opposite exterior angle to angle 3 is angle 6.

For another example, the opposite exterior to angle 1 is angle 8.

If you were to cut them out and put them over each other, they're congruent. Hope that helped you out :)

Answer:

<3=<6 forms a pair of alternate

exterior angles with angle 3.

Answer:

not it is not aa function

Step-by-step explanation:

Answer:

14 minutes

Step-by-step explanation:

6÷2=3

3×7-7=21

Answer:

its a or d

Step-by-step explanation:

a or d but ptibably a

Given:

Consider the below figure attaches with this question.

To find:

The size of angle x.

Solution:

Law of Cosines:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

Three sides of the triangle are 11 cm, 8 cm, 15 cm. Since 11 cm is the opposite side of the angle x, therefore [tex]a=11[/tex].

Let [tex]A=x,a=11,b=8,c=15[/tex]. Substitute these values in the above formula.

[tex]\cos x=\dfrac{8^2+15^2-11^2}{2(8)(15)}[/tex]

[tex]\cos x=\dfrac{64+225-121}{240}[/tex]

[tex]\cos x=\dfrac{168}{240}[/tex]

[tex]\cos x=0.7[/tex]

Taking cos inverse on both sides, we get

[tex]x=\cos^{-1} 0.7[/tex]

[tex]x=45.572996^\circ[/tex]

[tex]x\approx 45.6^\circ[/tex]

Therefore, the measure of angle x is 45.6°.