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KengaRu [80]
3 years ago
15

Expandir (x + 2y)^5

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
This is the concept of polynomial function, the question requires us to compute;
(x+2y)^5
=(x+2y)^2(x+2y)^2(x+2y)
=[(x^2+4xy+4y^2)(x^2+4xy+4y^2)](x+2y)
=[x^2(x^2+4xy+4y^2)++4xy(x^2+4xy+4y^2)+4y^2(x^2+4xy+4y^2)](x+2y)
=(x^4+8x^3y+24x^2y^2+32xy^3+16y^4)(x+2y)
=x(x^4+8x^3y+24x^2y^2+32xy^3+16y^4)+2y(x^4+8x^3y+24x^2y^2+32xy^3+16y^4)
=x^5+10x^4y+40x^3y^2+80x^3y^3+80xy^4+32y^5
the answer is:
=x^5+10x^4y+40x^3y^2+80x^3y^3+80xy^4+32y^5
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Change the width 20/16 inches to a mixed numeral in simplest form.
Iteru [2.4K]

Answer:1 and 1/4


Step-by-step explanation:

Okay, let's see the given: 20/16

So, we can take out 16 from the top to make it 1  4/16

Now, we can simplify that by dividing the top and bottom by 2: 1  2/8

We can simplify that again to get 1 1/4

So the answer is 1 and 1/4

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3 years ago
Write the equation of the circle graphed below.
Darina [25.2K]

Answer:

Your equation is (x - 1)^2 + (y +1)^2 = (\frac{1}{2}  )^2

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) =  (1,-1).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (1,-1) and (x,y) =  (0.5,-1) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(0.5 - (1))^2 + (-1 - (-1))^2 = r^2

(-0.5)^2 + (0)^2 = r^2

1/4= r^2

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6 0
2 years ago
Jamie is walking her neighbors’ dog while they are away. She is keeping track of the total number of blocks she walks over time.
Bumek [7]

Answer:

C. Yes, because the ratios are equivalent between each pair of values.

Step-by-step explanation:

A relationship between two quantities is proportional if the ratio of the two quantities are the same for all the given possible pairs of values.

In the table given, the ratio of block to mins in the first given pair of values is 3/6 = 3/6 = ½.

In the second given pair, it is 7 to 14 = 7/14 = ½. The same ratio is gotten for the others as well.

Therefore, the table represents a proportional relationship.

The answer is: "C. Yes, because the ratios are equivalent between each pair of values."

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3 years ago
The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r?
Pavlova-9 [17]

Answer: The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].


Solution:

The formula for the volume (V) of a sphere is:

V=(4∏/3) r^3

Solving for r: Multiplying both sides of the equation by 3/(4∏):

3/(4∏) V = 3/(4∏) [(4∏/3) r^3]

3V/(4∏) = r^3

Cubic root both sides of the equation (raising to the power 1/3):

Cubic root [3V/(4∏)] =Cubic root (r^3)

Cubic root [3V/(4∏)] = r

r = Cubic root [3V/(4∏)]

3 0
3 years ago
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