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6 months ago

Write in descending order.420t + 201 to the 3rd power -210t to the 2nd power

1 answer:

4 0

To answer this, we need to see the polynomial. Descending order is in a way that the first term of the polynomial will be three, the second (in descending order, two....and so on).

420t+20t3-210t2

In descending order is:

20t^3 - 210t^2 + 420t

So, the option is number two.

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There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are the

Shtirlitz [24]

Answer:

(a) How many are there to select 2 pairs of gloves?

10 ways

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

130 ways

Step-by-step explanation:

We solve the above questions using Combination

Combination = C(n, r) = nCr

= n!/n! ×(n - r)!

(a) How many are there to select 2 pairs of gloves?

We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2

= 5!/2! × (5 - 2)!

= 5!/2! × 3!

= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!

= 10 ways.

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

We are told to select 4 gloves out of the 10 gloves = 10C4

We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴

= 80

Hence,

10C4 - 5C4

= [10!/4! × (10 - 4)!] - 80

= 210 - 80

= 130 ways

3 0

3 years ago

Use what you have learned to solve the following polynomial equation by either completing the square or using the quadratic form

USPshnik [31]

<span>(x^2-4x-6) factors into:</span>
(x -5.1623) (x+1.1623)
Therefore x = 5.1623 and x = -1.1623

(4x^2-8x-2) <span>factors into:
(x -2.2247) * (x +2.2474)
</span>
Therefore x = 2.2247 and x= -0.22474

7 0

2 years ago

What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of \frac{2}{3} 3 2 ?

xz_007 [3.2K]

Answer:

the first on is 144 the secnd one is 1

Step-by-step explanation:

i think that's write.

3 0

2 years ago

Find the moment of inertia about the y-axis of the thin semicirular region of constant density

arlik [135]

The moment of inertia about the y-axis of the thin semicircular region of constant density is given below.

$\rm I_y = \dfrac{1}{8} \times \pi r^4$

<h3>What is rotational inertia?</h3>

Any item that can be turned has rotational inertia as a quality. It's a scalar value that indicates how complex it is to adjust an object's rotational velocity around a certain axis.

Then the moment of inertia about the y-axis of the thin semicircular region of constant density will be

$\rm I_x = \int y^2 dA\\\\I_y = \int x^2 dA$