Find the number of permutations of the first eight letters of the alphabet taking five letters at a time

Mathematics

1 answer:

Igoryamba3 years ago

8 0

I believe the answer is 6,720.

Hope this helps! :)

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Which expression is equivalent to (4+3i)^2+(6-I)^2

zhenek [66]

Answer:

$\large\boxed{(4+3i)^2+(6-i)^2=42+12i}$

Step-by-step explanation:

$(4+3i)^2+(6-i)^2\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\=4^2+2(4)(3i)+(3i)^2+6^2-2(6)(i)+i^2\\\\=16+24i+9i^2+36-12i+i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=16+24i+9(-1)+36-12i+(-1)\\\\=16+24i-9+36-12i-1\qquad\text{combine like terms}\\\\=(16-9+36-1)+(24i-12i)\\\\=42+12i$

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4 years ago

A sphere has a radius of 3m. Calculate its surface area and round to the nearest hundredth for your final answer.

bonufazy [111]

Answer:

Step-by-step explanation:

formula s =4*pi*r^2

s=4(3.14)(3^2)

s = 12.56(9)s= 113.04

5 0

4 years ago

Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following is the coordinate for p

olganol [36]

The distance between two points is given by:
d² = (x₂-x₁)² + (y₂ - y₁)²
9 = (x₂ - 4)² + (y₂ - 2)²
Now, we can check different ordered pairs in this equation to see which satisfies it:
The one that satisfies this equation is (4 , -1).

3 0

3 years ago

Read 2 more answers

If angles of a triangle are 2 is to 3 is to 4 is to .find the value of each angle

Daniel [21]

Answer:

Angles of triangle are 40°,60° and 80°.

Step-by-step explanation:

Given:

if angles of a triangle are 2 is to 3 is to 4.

Let the common factor between the angles be 'x'.

So we can say that;