How is 80.106 written in expanded form?
Pls answer !!

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:

t = -2.566s and -1.169s

Step-by-step explanation:

Given the height of the ball expressed at

h(t) = 5t²+14t+3

The ball will hit the ground at h(t) = 0

Substitute and get t

0 = 5t²+14t+3

Use general formula

t = -14+/- √14²-4(5)(3)/2(5)

t = -14+/- √196-60)/10

t = -14+/- √136/10

t =-14+/- 11.66/10

t = -25.66/10 and -2.338/2

t = -2.566s and -1.169s

Hence the ball will hit the ground at these times

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

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;

https://brainly.com/question/23477586

#SPJ2

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.

Using the angle sum property of triangle, we get

[tex]x^\circ+53^\circ+97^\circ=180^\circ[/tex]

[tex]x^\circ+150^\circ=180^\circ[/tex]

[tex]x^\circ=180^\circ-150^\circ[/tex]

[tex]x^\circ=30^\circ[/tex]

Therefore, the value of x is 30 degrees.

Answer:

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

Its definitley square to be precise so that's my answer, but its also a rhombus

Step-by-step explanation:

assuming a is 1, regardless, graph would always be square, which is a rhombus. hope  square is correct :)

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:

12-3

9 is the range

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

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 )

Complete question is;

Mr. Kurris is 50 years old. In 4 years, his house will be paid off and his daughter will be finished with college. He wants to take out a 5-year level-term life insurance policy with a face value $750,000. The monthly premium is $61,

a. What will be his total cost for this policy over the 5-year period?

b. If he dies after paying for the policy for 16 months, how much will the insurance company pay his beneficiaries?

c. If he does not die during the 5 years, how much does the insurance company make on this policy?

d. If he dies after paying for the policy for 13 months, how much will the insurance company lose on this policy?

Answer:

A) $3660

B) $750000

C) $3660

D) $749,207

Step-by-step explanation:

A) Since he wants to take out a five-year level-term life insurance policy, then number of payments for 5 years is;

12 months × 5 = 60 payments.

Since monthly premium is $61, then total cost = 61 × 60 = $3660

B) This is a level-term life insurance policy and so he will be paid the same amount over the entire period of the insurance policy.

Thus If he dies after paying for the policy for 16 months, his beneficiaries will still be paid same $750000

C) if he does not die during the 5 years, the amount the insurance company will make is same as the amount he is due for his premium which is $3660.

D) If he dies after paying for the policy for 13 months, amount that the insurance company will lose is;

>> 750000 - 13(61) = $749,207

Answer:

i honestly dont even know myself

Step-by-step explanation:

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:

you gotta find a common ground.

Step-by-step explanation:

easiest way to make friends is to relate to people with experiences you share together :)

If your talking about how to friend someone on brainly: Go to the profile of the individual you'd like to invite and press on the Add Friend button and a request will be sent to them.

I hope this helps you make more friends!

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

Step-by-step explanation:

Answer: i think a

Step-by-step explanation:

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:

72 I think

Step-by-step explanation:

Answer:

E 604,000

Have a nice day

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:

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:

y = 14

Step-by-step explanation:

y = x^2 -5x

Let x =7

y = 7^2 -5*7

y = 49- 35

y = 14

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:

(-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) .

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:

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{If n = 4 and k = 12 the substitute it into the given equation.}[/tex]

[tex]\mathsf{\dfrac{2(4) - 6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{2\times4=\boxed{\bf 8}}[/tex]

[tex]\mathsf{\dfrac{8-6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{8-6=\boxed{\bf 2}}[/tex]

[tex]\mathsf{\dfrac{2+(5)(12)}{3(4-9)}}[/tex]

[tex]\mathsf{5\times12=\boxed{\bf 60}}[/tex]

[tex]\mathsf{\dfrac{2+60}{3(4-9)}}[/tex]

[tex]\mathsf{2+60=\boxed{\bf 62}}[/tex]

[tex]\mathsf{\dfrac{\bold{62}}{3(4-9)}}[/tex]

[tex]\mathsf{4 - 9=\boxed{\bf -5}}[/tex]

[tex]\mathsf{\dfrac{62}{3(-5)}}[/tex]

[tex]\mathsf{3\times-5=\boxed{\bf -15}}[/tex]

[tex]\mathsf{\dfrac{62}{\bf -15}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{62}{15}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

use math.way

Step-by-step explanation:

has the answers

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: