22. Write the following as fractions: i) Seven hundredths ii) Six ninths

Ip a solid sphere with a diameter of 0.19 m is released from rest; it then rolls without slipping down a ramp, dropping through

lubasha [3.4K]

Answer: K = (1/2) mvÂ˛ + (1/2) IĎ‰Â˛, where m is the ball mass, I is the ball's moment of inertia (2/5)mrÂ˛, and Ď‰ is the angular velocity of the ball. Because the ball rolls without slipping, it is easy to see that v=Ď‰r, or r=v/Ď‰. Then, K = (1/2)mvÂ˛ + (1/2)(2/5)mrÂ˛Ď‰Â˛ = (1/2)mvÂ˛ + (1/5)mvÂ˛ = (7/10)mvÂ˛ Setting potential at the top equal to kinetic at the bottom, mgh=(7/10)mvÂ˛ v=âš{(10/7)(gh)} = [(10/7)(9.8)(0.51)]^(1/2) = 2.672m/s

5 0

3 years ago

A. Only sequence A B. Only sequence B C. Both D. Neither 30 POINTS OMG

Phoenix [80]

B. Only Sequence B

The one with the reflection over the line HI and then the 6 unit translation to the right

7 0

2 years ago

Read 2 more answers

4e^2x-6=10<img src="https://tex.z-dn.net/?f=4e%5E2x-6%3D10" id="TexFormula1" title="4e^2x-6=10" alt="4e^2x-6=10" align="absmiddl

Taya2010 [7]

X=4/e^2 or X=0.541341

3 0

3 years ago

Read 2 more answers

Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20

Novay_Z [31]

The value of x in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is x = 24

<h3>How can the polynomial with fractions be simplified to find x?</h3>

The given equation is presented as follows;

$\frac{3}{(x - 4) \cdot (x - 7) } + \frac{6}{(x - 7) \cdot (x - 13) } + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28) } = - \frac{1}{20}$

Factoring the common denominator, we have;

$\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28) + 15 \cdot(x - 4) \cdot(x - 7) - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)} + = - \frac{1}{20}$

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

$\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)} + = - \frac{1}{20}$

Which gives;

$\frac{-1}{(x - 4)} + = - \frac{1}{20}$

x - 4 = 20

Therefore;

x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0

2 years ago

( Will hand out brainiest) A California condor left its cliff-side nest and soared downwards at a rate of 16 meters per second.

svet-max [94.6K]

First calculate the distance covered going down:

d_down = (16 m / s) * 8 s = 128 m

Then the distance going up is:

d_up = 71 m

So the distance from the ledge to the nest is:

d = 128 m – 71 m = 57 m

Therefore the elevation is:

elevation = 1364 m + 57 m = 1421 m

4 0

3 years ago

22. Write the following as fractions: i) Seven hundredths ii) Six ninths​

22. Write the following as fractions: i) Seven hundredths ii) Six ninths