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3 years ago

A conjecture and the two-column proof used to prove the conjecture are shown.

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

Answer:

Just took the quiz hopefully this helps!

Step-by-step explanation:

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Initially a wheel rotating about a fixed axis at a constant angular deceleration of 0.5 rad/s 2 has an angular velocity of 0 rad

Zigmanuir [339]

Answer:

$\theta = 5.83\ rad$

Step-by-step explanation:

given,

angular deceleration, α = -0.5 rad/s²

final angular velocity,ω_f = 0 rad/s

angular position, θ = 6.1 rad

angular position at 3.9 s = ?

now, Calculating the initial angular speed

$\omega_f^2 = \omega_i^2 + 2 \alpha \theta$

$0 = \omega_i^2 - 2\times 0.5\times 6.1$

$\omega_i = \sqrt{6.1}$

$\omega_i = 2.47\ rad/s$

now, angular position calculation at t=3.9 s

$\theta = \omega_i t + \dfrac{1}{2}\alpha t^2$

$\theta =2.47\times 3.9 - \dfrac{1}{2}\times 0.5\times 3.9^2$

$\theta = 5.83\ rad$

Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.

7 0

3 years ago

Write the prime factorization of each number in exponential notation

n200080 [17]

$18225|5\\.\ 3645|5\\.\ \ 729|3\\.\ \ 243|3\\.\ \ \ 81|3\\.\ \ \ 27|3\\.\ \ \ \ 9|3\\.\ \ \ \ 3|3\\.\ \ \ \ 1|\\\\18,225=5\cdot5\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3=5^2\cdot3^6$

8 0

3 years ago

A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few

Rzqust [24]

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

7 0

3 years ago

1. Convert. Simplify your answer and write it as a proper fraction or as a whole or as a mixed number.

velikii [3]

Answer:

4 ounces = 1/4 lbs (pounds) 1/3 of 66 is 22

4 0

3 years ago

Factor tree for 30 and 54

elena-14-01-66 [18.8K]

Answer:

30|2

15|3

5|5

54|2

27|3

9|3

3|3

5 0

4 years ago

Read 2 more answers