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gulaghasi [49]
4 years ago
7

Convert 15/16 to 64ths​

Mathematics
1 answer:
Luda [366]4 years ago
3 0

Answer:

60/64

Step-by-step explanation:

64÷16=4

15*4=60

15/16 * 4 = 60/64

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

5 0
4 years ago
Read 2 more answers
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many lit
mario62 [17]

Answer:

24000 cm³ or 24 L

Step-by-step explanation:

The measure of a tank is 30 cm by 20 cm by 40 cm.

We need to find the volume of water in the tank when it is full.

Volum = 30 cm × 20 cm × 40 cm

= 24000 cm³

1 cm³ = 1 ml

24000 cm³ = 24000 mL

Also, 1 cm³ = 0.001 ml

24000 cm³ = 24 L

Hence, this is the required solution.

4 0
3 years ago
Help<br> help please please
Ahat [919]

Answer:

1. A

2. C

Step-by-step explanation:

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7 0
3 years ago
You get dressed in the morning without looking at the colours of the clothes you choose. Your shirts are white or blue, your pan
kaheart [24]

Answer:

add up all the colors

Step-by-step explanation:

7 0
4 years ago
A cylinder with a radius of 12cm and a height of 20cm has the same volume as a cone with a radius of 8cm. What is the height of
ivanzaharov [21]

Answer: 135cm

Step-by-step explanation

Volume of a cylinder = πr²h

Volume of a cone. = 1/3πr²h

The two shapes are both solid shapes.

Since the have same volume, we can then equate the two together and solve for the height of the cone.

Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.

Now equating the two

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Now substitute for the values now

Multiply through by 3

3πR²H = πr²h

But π is common so it could be obliterated from the equation

3R²H = r²h

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8640. = 64h

Therefore

h = 8640/64

= 135cm

8 0
4 years ago
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