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Travka [436]
2 years ago
7

Factor the polynomial by factoring out the GCF. 6y^3 − 9y^2

Mathematics
1 answer:
Marysya12 [62]2 years ago
4 0

Answer:

3y²(2y - 3)

Step-by-step explanation:

Given

6y³ - 9y² ← factor out 3y² from each term

= 3y²(2y - 3)

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You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your
Viefleur [7K]

Answer:

a)

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b) the  foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t)  should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

Also, the foot makes one revolution in a second, definitely the frequency of the revolution = 1 and the vector for the circle is ( 0.2 cos (2πt), -0.2 sin  (2πt)), due to the fact that the foot moves clockwise.

Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin  (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin  (2πt))

Hence; the parametric equations are:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b)

The linear speed of rotation is :

15km/hr = 15 × 100, 000/3600 (cm/sec)

             = 416.7 cm/sec

The rotational frequency is :

= 416.7/2πr

= 416.7/2(3.14 × 20)

= 3.32 rev/sec

Hence, the  foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

4 0
3 years ago
Read 2 more answers
Find the volume of the prism. Write the answer as a fraction in simplest form.
valina [46]

Answer:1 1/4

Step-by-step explanation:

if u add all together in decimals it will become 1.125.

pls give me brainless

7 0
3 years ago
A number more than 1.
Stells [14]

Answer:

a number more than 1 is 2 or 3 or literally anything bigger

3 0
3 years ago
Read 2 more answers
The radioactive substance polonium-210, with a half-life of 138.39 days, is present in tobacco. Suppose that the soot in an ex-s
Ksju [112]

Answer:

16.07 milligrams

Step-by-step explanation:

From the question,

Using the formula of radioactive decay,

R/R' = 2ᵃ/ᵇ..................... Equation 1

Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.

Make R' the subject of the equation

R' = R/(2ᵃ/ᵇ)................ Equation 2

Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days

Substitute these values into equation 2

R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)

R' = 100/(6.222)

R' = 16.07 milligrams of plonium-210

3 0
2 years ago
The deepest ocean depth is 35 , 840 feet, found in the Pacific Ocean's Mariana Trench. The tallest mountain is Mount Everest, wi
statuscvo [17]

Answer:

64868 feet

Step-by-step explanation:

The deepest point as a negative 35,840 feet mark

The tallest point has a positive 29,028 feet mark

<u>The difference between them:</u>

  • 29,028 - (-35,840) = 64,868 feet

<u>Answer is</u> 64,868 feet

7 0
3 years ago
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