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Sever21 [200]
3 years ago
13

Simplify 3a^2b^2x2ab+6a^3b^2

Mathematics
1 answer:
ira [324]3 years ago
3 0

3 {a}^{2} \times  {b}^{2} \times 2ab + 6 {a}^{3} \times  {b}^{2} =

6 {a}^{3} {b}^{3} + 6 {a}^{3} {b}^{2} =

Factoring 6a^3 b^2

6 {a}^{3} {b}^{2}(b + 1)

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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Simplify the expression below, I really just need the steps I have the answer (also can someone tell me how to edit points on th
Sloan [31]

Answer:  3x^2y\sqrt[3]{y}\\\\

Work Shown:

\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\

Explanation:

As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.

4 0
3 years ago
The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the pris
Georgia [21]

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)

5 0
3 years ago
At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks
goldenfox [79]
420 x 4 = 1,680. $1,624 - $1,680 = - $56. $600 x 2 = 1,200 + 1000 = 2,200. This minus the $56 he overdrew = an end of month balance of $2,144.
6 0
3 years ago
Read 2 more answers
4G +4 equals 2G +8 what is the value of G
Oduvanchick [21]

4g + 4 = 2g + 8

4g - 2g = 8 - 4

2g = 4 / : 2

<u>g </u><u>=</u><u> </u><u>2</u>

7 0
3 years ago
Evaluate 64/1000√3 .<br> A. 1/125<br> B.32/500<br> C. 8/100<br> D. 4/10
kobusy [5.1K]
Start off by doing
64/1000
that should equal 0.064
0.064 and quare it by 3
0.4
which equals 4/10
8 0
3 years ago
Read 2 more answers
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