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3 years ago

Simplify the expression: (2x-3y)^2/(3y-2x)^2

Mathematics

1 answer:

Gelneren [198K]3 years ago

7 0

The answer is one.
Hope this helped.

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Calculate the total area of the bottom sections of the back and the two side walls which should be tiled.Give your answer in squ

arsen [322]

Step-by-step explanation:

calculate the total area of the bottom sections of the back and the two side walls which should be tiled.Give your answer in squared metres rounded a

accurately to 2 decimals

6 0

2 years ago

Find f'(x) f(x)=(1-2x^2)^3

Hunter-Best [27]

Answer: f'(x) = 12x + 48x³ - 48x⁵

Step-by-step explanation:

f(x) = (1 - 2x²)³

= (1 - 2x²)(1 - 4x² + 4x⁴)

1 - 4x² + 4x⁴

-2x² + 8x⁴ - 8x⁶

= 1 - 6x² + 12x⁴ - 8x⁶

f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹

= 12x + 48x³ - 48x⁵

3 0

3 years ago

There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q

Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

Solution:

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

$\frac{nickel}{dime} = \frac{2}{3}$

$nickel = \frac{2}{3} dime$

$\frac{dime}{quarter} = \frac{2}{5}$

$quarter = \frac{5}{2}dime$

So,

$nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15$

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank

3 0

3 years ago

What is the area of a circle with a diameter of 16?

Oksana_A [137]

If the diameter is 16, then the radius is 8.

A=(pi) r^2

8*8=64

64*3.14159265359=201.06

201.06 is your answer.

-TheOneandOnly003

4 0

3 years ago

find the total surface area of the following cuboids length=7cm,breadth=4cm,height=3cm please help me with this problem.help me

Zielflug [23.3K]

Answer:

122

Step-by-step explanation:

SA=2lw+2lh+2hw

SA = 2(7)(4) + 2(7)(3) + 2(3)(4)

SA = 122

8 0

2 years ago