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2 years ago

(w-w^2)^4=?.......................

Mathematics

1 answer:

Setler [38]2 years ago

3 0

Answer:

w^8 - 4w^7 + 6w^6 - 4w^5 + w^4 .

Step-by-step explanation:

(w - w^2)^4

= w^4 ( 1 - w)^4

By the binomial theorem:

= w^4( 1 - 4w + 6w^2 - 4w^3 + w^4)

= w^4 - 4w^5 + 6w^6 - 4w^7 + w^8

= w^8 - 4w^7 + 6w^6 - 4w^5 + w^4 ( Standard form).

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Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Amiraneli [1.4K]

Answer:

Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

Step-by-step explanation:

Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:

If order matters =

(4 x 3 x 2 x 1) / 2 = X

24/2 = X

12 = X

If the order doesn't matter =

12/2 = X

6 = X

Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

3 0

2 years ago

Int he figure below find AC

Ahat [919]

Given :-

Two triangles with their two angles equal .

To Find :-

Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

$\angle$ CAB = $\angle$ CED (given )
$\angle$ CBA = $\angle$ CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.

7 0

2 years ago

The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle

ArbitrLikvidat [17]

Lets set up the relationship of the length to width:

l = 3w

Using this, we can make all the variables the same by substitution:

2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9

The width is 9, to the length must be 9*3, or 27.

Hope this helped!

4 0

2 years ago

90 POINTS PLEASE HELP

zimovet [89]

Formula

Volume = A_base * height

Solution

Synthetic Division always changes signs of the divisor. Also you add whereas in long division you subtract.

-2 || 2 + 9 - 8 - 36

-4 -10 36

===================

2 5 -18 0

You can eliminate A and B. You are never left with the same power at the beginning when you do a division.

What you are left with is

A_Base = 2x^2 + 5x - 18

Answer: D

5 0

3 years ago

A physician orders penicillin 525,000 units q4h for a child who weighs 55 lbs. The recommended dosage is 100,000 250,000 units/k

Nitella [24]

Answer:

a. 24.9476 Kg.

b. The safe daily dosage range is between 2494760 units /day and 6236900 units/day

c. Yes

Step-by-step explanation:

a. Lets see the convertion from lb to Kg:

1 Lb= 0.453592
55 lb = 0.453592*55= 24.9476 kg

b. Minimum daily dosage is 100,000 units /kg

For this kid: 100,000 * 24.9476= 2,494,760 units/ day

in 6 dosis; 2494760/6= 415,793.33 units every 4 hours

Maximun daily dosage is 250,000 units /kg

For this kid: 250,000 * 24.9476= 6,236,900 units/ day

in 6 dosis; 6,236,900/6= 1,039,483.33 units every 4 hours

c: Yes, because 525.000 units every 4 hours is between the minimun and maximun dosaje for this kid

4 0

2 years ago

(w-w^2)^4=?.......................​

(w-w^2)^4=?.......................