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ddd [48]
3 years ago
15

Simplify the expression where possible. (4c^2)^3

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

64c^{6}

Step-by-step explanation:

We know that (a*b)^{m}=a^{m} *b^{m}

Given (4c^{2})^{3}

Here a=4 and b=c^{2}

Using the above property we get

(4c^{2})^{3} = 4^{3}*(c^{2})^{3}

We know that (a^{m})^{n}=a^{mn}

using the above property we get

(4c^{2})^{3} =64*c^{6}=64c^{6}

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Leona [35]
All of them because they all grow stuff that farmers grow
8 0
3 years ago
A square is made up of an L-shaped region and three transformations of the region. If the perimeter of the square is 40 units, w
Mila [183]

Answer:

20 units

Step-by-step explanation:

This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.

Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.

Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.

Perimeter of each L-shape region = the addition of the length of each side of the shape

Perimeter of each L-shape region = 8 + 5 + 5 + 2

                                                         = 20 units

3 0
3 years ago
Use a formula to find the surface area of the cylinder . Use 3.14 for π.
Arlecino [84]

Answer:

I am so sorry

Step-by-step explanation:

I dont really know what it is but I think it is 21.98 you do 7 times 3.14

5 0
3 years ago
U
elena55 [62]

Answer:

option 3, 45

Step-by-step explanation:

3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)

3x - 9° + 54° = 180°

3x + 45° = 180°

3x = 180° - 45°

3x = 135°

x = 135/3

x = 45°

therefore, option 3 is the correct option

8 0
2 years ago
A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-
nignag [31]

Answer:

t = 6.3

Step-by-step explanation:

N=Noe^(-kt)

No = 14 grams

k = .1092

We want to find t when N = 7 or 1/2 of 14

N=Noe^(-kt)

7 = 14 e ^ (-.1092t)

Divide each side by 14

1/2 = e ^ (-.1092t)

take the natural log of each side

ln (1/2) = ln e ^ (-.1092t)

ln (1/2) = -.1092t

Divide each side by -.1092

ln (1/2)/ -.1092 = t

t≈6.3475

Rounding to the nearest tenth

t = 6.3

5 0
3 years ago
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