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2 years ago

Simplify the following expression:

Mathematics

1 answer:

Nonamiya [84]2 years ago

8 0

Step-by-step explanation:

${ \bf{( \frac{ - 10 {a}^{3} {b}^{5} \times 6 {a}^{6} {b}^{2} }{ {12a}^{9} {b}^{5} } ) {}^{3} }} \\ \\ = { \sf{( \frac{ - 60 {a}^{9} {b}^{7} }{12 {a}^{9} {b}^{5} } ) {}^{3} }} \\ \\ = { \sf{(5 {b}^{2}) {}^{3} }} \\ = { \sf{125 {b}^{5} }}$

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Divide Rs 8100 for three persons in the proportion of 2:3:4

Andru [333]

Step-by-step explanation:

Money = Rs 1800

Ratio = 2:3:4

1st Person = 2x

2nd Person = 3x

3rd Person = 4x

X = ?

2x + 3x + 4x = 1800

9x = 1800

X = 200

1st Person = 2x = 2×200 = Rs 400

2nd Person = 3x = 3×200 = Rs 600

3rd Person = 4x = 4×200 = Rs 800

7 0

2 years ago

An open rectangular box with square base has a volume of 256 cubic inches. determine the equation for the volume and surface are

Serjik [45]

Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box

we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1

surface area of the box=area of the base+perimeter of base*height

area of the base=b²
perimeter of the base=4*b

surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2

substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b

the answer is

the formula of the volume of the box is V=b²*h-----> 256=b²*h

the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b

4 0

2 years ago

Can someone help me understand these questions?

Soloha48 [4]

kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

a square does fir this definition since it has 4 equal sides, hence 2 pairs and hte equal sides are adjacent to each other.
so yes a square is a kite

the definition of a rectangle is 
a figure with four straight sides and four right angles, 

a parallelogram with 4 right angle woudl be a rectangle but any without would not

so it can be, but generally is not

7 0

2 years ago

Read 2 more answers

X^2 -9 divided by x+3

WINSTONCH [101]

Step-by-step explanation:

Hey, there!!

Given that,

$\frac{ {x}^{2} - 9 }{x + 3}$

{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.

$\frac{ {x}^{2} - {3}^{2} }{x + 3}$

We have a^2-b^2= (a+b) (a-b), so keep same formula on it.

$\frac{(x + 3)(x - 3)}{(x + 3)}$

(x+3) in numerator and denominator gets cancelled,

$(x - 3)$

Therefore, (x-3) is the final value.

Hope it helps...

4 0

2 years ago

At 12 noon in anchorage Alaska Janice noticed that the temperature outside was 12

Alisiya [41]

I assume that you want to know the temperature at a certain timing.
Well, you know that at 12:00 pm, the temperature was 12 F and that it decreases by a steady rate of 2 F each hour.

This means that at 1:00 pm, the temperature was 12-2 = 10 F
At 2:00 pm, the temperature was 10-2 = 8 F
At 3:00 pm, it was 8-2 = 6 F
.......and so on

You can follow this sequence to the timing you are looking for.

7 0

2 years ago