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dem82 [27]
3 years ago
6

Write as a single power, then evaluate. (3^3)^4

Mathematics
2 answers:
kvasek [131]3 years ago
8 0

Answer:

<h3>531,441</h3>

Step-by-step explanation:

{ ({3}^{3}) }^{4}  \\  =  {3}^{12}  \\  = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \\  = 531441 \\

Reptile [31]3 years ago
4 0

Step-by-step explanation:

(3^3)^4

=> (3)^3×4

=> (3)^12

=> (3×3×3×3×3×3×3×3×3×3×3×3)

=> 531441 Ans.

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While attempting to multiply the expression (2-5i)(5+2i) a student made a mistake.
julsineya [31]

Answer:

The left side of the equation is ignored

i is treated as -1, which it is not, it is instead the square root of negative 1.

To solve it properly we get:

(2 - 5i)(5 + 2i)

= 10 + 4i - 25i - 10i²

= 10 + 21i + 10

= 20 - 21i

4 0
3 years ago
Read 2 more answers
Evaluate the surface integral. s x ds, s is the part of the plane 6x + 3y + z = 6 that lies in the first octant.
Musya8 [376]
The plane has intercepts at (1, 0, 0), (0, 2, 0), and (0, 0, 6), so we can parameterize the surface \mathcal S by

\mathbf r(u,v)=((1,0,0)(1-u)+(0,2,0)u)(1-v)+(0,0,6)v
\mathbf r(u,v)=((1-u)(1-v),2u(1-v),6v)

where 0\le u\le1 and 0\le v\le1. Now

\|\mathbf r_u\times\mathbf r_v\|=2\sqrt{46}(1-v)

so the surface integral reduces to

\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{46}\int_{v=0}^{v=1}\int_{u=0}^{u=1}(1-u)(1-v)^2\,\mathrm du\,\mathrm dv=\frac{\sqrt{46}}3
4 0
4 years ago
What is the ratio 25 to 45 as a simplified fraction​
fenix001 [56]
Reducing the fractions, it is also true that:
Part A = 5/14 of the whole
Part B = 9/14 of the whole
6 0
3 years ago
Seven members of a Girl Scout troop report the following individual earnings from their sale of candy: $4, $1, $7, $6, $8, $2, a
Radda [10]

Answer:

(B) the mean is less than the mode and less than the median.

Step-by-step explanation:

Mean, Median, Mode is used to calculate the central tendency of the distribution.

Mean is defined as,

Mean = \dfrac{Sum of all observation}{Total number of observation}\\ \ \ \ \ \ \ \ \ = \dfrac{4+1+7+6+8+2+7}{7}

∴ Mean = 5

Median is the middle observation of the distribution after arranging it in ascending or descending order.

So, arranging distribution in ascending order we get,

$1, $2, $4, $6, $7, $7, $8

Also, a number of observation is 7 which is an odd number.

Hence, Median = (\frac{Number of observation + 1}{2})^{th} term

⇒ Median = (\frac{7 + 1}{2})^{th} term

⇒ Median = 4th term = 6

Mode is the observation which has highest frequency.

Here, only $7 is repeated 2 times.

Hence, Mode = 7.

Hence, we see that Mean < Median < Mode

So, Option (B) is correct i.e. mean is less than the mode and less than the median.

8 0
4 years ago
Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are
Elena L [17]

Answer:

m\angle ECB+m\angle EFB=180

m\angle CDB\cong m\angle EDF

m\angle CDB+m\angle DCB+m\angle CBD=180 \degree

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

m\angle ECB+m\angle EFB=180

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

m\angle CDB\cong m\angle EDF

Also sum of angles in triangle CBD is 180°.

m\angle CDB+m\angle DCB+m\angle CBD=180 \degree

6 0
3 years ago
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