The expected value of the number of points for one roll is

A) 0

B) 3

C) 6

Answer:

[tex]The \ vertica \ position \ of \ the \ carousel,\ v = 11 \times sin \left (\dfrac{\pi}{2} \times \left (\dfrac{t}{4} -1\right)\right )[/tex]

Step-by-step explanation:

The parameters of the motion on the carousel are;

The time it takes the carousel to make one complete revolution, T = 16 seconds

The distance Han is sitting from the center = 11 feet

The motion of the carousel can be given by the equation of sinusoidal motion as follows;

v = a·sin(ω·t + c)

Where;

a = The amplitude of the sinusoidal motion = Han's distance from the center = 11 feet

ω = The angular velocity

t = Han's time in motion =

ω = 2·π/T = 2·π/16 rad/s

c = The phase shift

v = The vertical position of the carousel

Given that at the starting point when t = 0, y = minimum, therefore, sin(ω·t + c) = sin(ω×0 + c) = sin(c) = minimum = -1

c = arcsin(-1) = -π/2 we have

Therefore, when time after the carousel starts moving = t second, we have;

The vertical position of the carousel in feet, v = 11·sin((π/8)·t) - π/2) = 11×sin((π/2)·(t/4 - 1))

Answer:

1 : 4

Step-by-step explanation:

There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?

Number of red marbles = fraction of red marbles x total number of marbles

1/5 x 10 = 2

Number of blue marbles = total number of marbles - number of red marbles

10 - 2 = 8

ratio of red to blue marbles

2 : 8

To transform to the simplest form. divide both numbers by 2

1 : 4

Answer:

72 I think

Step-by-step explanation:

Answer:

y = 14

Step-by-step explanation:

y = x^2 -5x

Let x =7

y = 7^2 -5*7

y = 49- 35

y = 14

Answer: i would say 550 miles or 1,100 miles

Step-by-step explanation:

Answer:

7 statues

Step-by-step explanation:

Step 1: Divide the paint remaining by the paint required by each statue (We are doing this because [tex]\frac{1}{8}[/tex] is 1 statue, so to find how many we need, divide [tex]\frac{7}{8}[/tex] by that.)

[tex]\frac{7}{8}\div \frac{1}{8}\\\\\frac{7}{8}\times \frac{8}{1}\\\\=\frac{7}{1}\\\\= 7[/tex]

Therefore, Diana can paint 7 statues.

Answer:

L' = (0, 1 )

Step-by-step explanation:

The translation rule

(x, y ) → (x - 2, y - 1 )

Means subtract 2 from the x- coordinate and subtract 1 from the y- coordinate.

L (2, 2 ) → L' (2 - 2, 2 - 1 ) → L' (0, 1 )

Answer:

[tex] \frac{ \sqrt{64} }{ \sqrt{16} } \\ = \frac{8}{4} \\ = 2[/tex]

Answer:

A. ∠EYL and ∠AYS

B. ∠SYL and ∠EYA

Step-by-step explanation:

hope this helps and hope this is right. p.s i really need brainliest :)

Answer:

[tex]\sqrt{176+\sqrt{2401} }[/tex]

=[tex]\sqrt{176+\sqrt{49*49} }[/tex]

=[tex]\sqrt{176+49}[/tex]

=[tex]\sqrt{225}[/tex]

=[tex]\sqrt{15*15}[/tex]

=15

Step-by-step explanation:

Answer:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

Answer:

7

Step-by-step explanation:

The common ratio of the geometric sequence is 7.

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.

According to the question,

First term = a = 5

Third term = a×r²

                 = 245

⇒ ar² = 245

⇒ 5×r² =245

⇒ r² = 245/5

⇒ r² = 49

⇒ r = 7.

Hence the common ratio = 7

To learn more on geometric progression click :

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Answer:

The top choice.

Step-by-step explanation:

If a quadratic function is a perfect square trinomial, its graph will intersect the x-axis exactly once.

[tex]y=(x+1)^2\\[/tex]

Expanded, this is [tex]y=(x+1)(x+1)[/tex]

There is only one value of x which makes the "two" factors equal to zero, and that is -1, where the graph touches the x-axis.

See the attached graph. [tex]y=(x+1)^2[/tex] is the purple graph.

The green graph is an example of a quadratics which is NOT a perfect square. It's the function [tex]y=x^2-x-2[/tex].

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

Answer:

[tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = x

Step 2: Solve for x

Answer:

The amount of interest paid is $22,500

Step-by-step explanation:

Firstly, we need the number of $1 in $450,000

That would simply be $450,000/$1 = 450,000

5 cents is same as 5/100 = $0.05

so we have to multiply 450,000 by 0.05

we have this as;

450,000 * $0.05 = $22,500

Answer:

12-3

9 is the range

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

70 years

Step-by-step explanation:

Equation that describe the situation

y = 4x + 720

x = years

y = length

1000 = 4x + 720

4x = 280

x = 70

Answer:

0.07

Step-by-step explanation:

Answer:

Rachel

Step-by-step explanation:

Rachel has the greater representation; if the students are in the lunch line, they are buying food (this does not account for students who bring lunch from home).

The last number in an ID has nothing to do with lunch choice.

Given:

The number is [tex]3.\overline{5}[/tex].

To find:

The simple fraction of the given number.

Solution:

Let us assume,

[tex]x=3.\overline{5}[/tex]

Then,

[tex]x=3.555...[/tex]                 ...(i)

Multiply both sides by 10.

[tex]10x=35.555...[/tex]          ...(ii)

Subtracting (i) from (ii), we get

[tex]10x-x=35.555...-3.555...[/tex]

[tex]9x=32[/tex]

[tex]x=\dfrac{32}{9}[/tex]

Therefore, the simplified fraction form of the given number is [tex]\dfrac{32}{9}[/tex].

Answer:

$49,126.87

Step-by-step explanation:

Given data

Principal= $33,000

rate= 6.75%

Time= 6 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6.65/100

r = 0.0665 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 33,000.00(1 + 0.0665/12)^(12)(6)

A = 33,000.00(1 + 0.005541667)^(72)

A = $49,126.87

Hence the final amount is  $49,126.87

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

Answer: i think a

Step-by-step explanation:

Answer:

56.7

Step-by-step explanation:

Have a good day :)

Answer: 56.7 is the answer :))

Answer:

i honestly dont even know myself

Step-by-step explanation:

Volume = Base area × height

V = ( π × r^2 ) × 4.8

V = ( π × ( 2.6/2 )^2 ) × 4.8

V = ( π × (1.3)^2 ) × 4.8

V = ( π × 1.69 ) × 4.8

V = π × 1.69 × 4.8

V = 8.112 π in^2

The volume of the can is 8.112π cubic inches.

The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.

Given:

A can of soda has a height of 4.8 inches.

Its diameter is 2.6 inches.

Then the radius is 2.6/2 = 1.3 inches.

The volume of the can,

= the volume of the cylinder

= πr²h

= π(1.3)²(4.8)

= 8.112π

Therefore, the volume is 8.112π cubic inches.

To learn more about the volume;

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Answer:

(-4,-5)

Step-by-step explanation:

Given :

[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2

[tex] \implies[/tex] M = ( -8/2 , -10/2 )

[tex] \implies[/tex] M = (-4 , -5)

Hence the midpoint is (-4,-5) .