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2 years ago

10

The baby nursery has 2 nurses for every 10 babies. What is the nurse to baby ratio?

1 answer:

earnstyle [38]2 years ago

6 0

Answer:

1 to 5

Step-by-step explanation:

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How do you get 85 tens in 23 ones in standard form ?

Andrew [12]

The answer is 873 hope this will help you.

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3 years ago

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Using the binomial theorem , obtain the expansion of :

andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1 6 15 20 15 6 1

Decreasing powers of 1 from $1^{6}$ to $1^{0}$

Increasing powers of 3x from $(3x)^{0}$ to $(3x)^{6}$

$1+3x)^{6}$

= 1. $1^{6}$ $(3x)^{0}$ + 6. $1^{5}$ $(3x)^{1}$ + 15. $1^{4}$ $(3x)^{2}$ + 20. $1^{3}$ $(3x)^{3}$ + 15.1² $(3x)^{4}$ + 6. $1^{1}$ $(3x)^{5}$ + 1. $1^{0}$ $(3x)^{6}$

= 1 + 18x + 135x² + 540x³ + 1215 $x^{4}$ + 1458 $x^{5}$ + 729 $x^{6}$

--------------------------------------------------------------------------------------

$(1-3x)^{6}$

= 1. $1^{6}$ $(-3x)^{0}$ + 6. $1^{5}$ $(-3x)^{1}$ + 15. $1^{4}$ $(-3x)^{2}$ + 20. $1^{3}$ $(-3x)^{3}$ + 15.1² $(-3x)^{4}$ + 6. $1^{1}$ $(-3x)^{5}$ + 1. $1^{0}$ $(-3x)^{6}$

= 1 - 18x + 135x² - 540x³ + 1215 $x^{4}$ - 1458 $x^{5}$ + 729 $x^{6}$

----------------------------------------------------------------------------------

Collecting like terms from both expressions

$(1+3x)^{6}$ + $(1-3x)^{6}$

= 2 + 270x² + 2430 $x^{4}$ + 1458 $x^{6}$

----------------------------------------------------

(2)

Using Pascal's triangle with n = 5

1 5 10 10 5 1

Decreasing powers of 1 from $1^{5}$ to $1^{0}$

Increasing powers of 2x from $(2x)^{0}$ to $(2x)^{5}$

$(1+2x)^{5}$

= 1. $1^{5}$ $(2x)^{0}$ + 5. $1^{4}$ $(2x)^{1}$ + 10. $1^{3}$ $(2x)^{2}$ + 10. $1^{2}$ $(2x)^{3}$ + 5. $1^{1}$ $(2x)^{4}$ + 1. $1^{0}$ $(2x)^{5}$

= 1 + 10x + 40x² + 80x³ + 80 $x^{4}$ + 32 $x^{5}$

8 0

3 years ago

1/2 and a fraction equivalent to 2/6

makkiz [27]

Answer:1/2 if you multiply 2 to the top number then multiply 3 with the bottom

Step-by-step explanation:

4 0

3 years ago

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Tamia is collecting boxes to help her friend move. She found a box that is 8 ft wide, 2 ft high, and 4 ft long how much space wo

Arada [10]

Answer: $64\ ft^3$

Step-by-step explanation:

Given

The dimension of the box is

$\text{width w=}8\ ft\\\text{height h=}2\ ft\\\text{length l=}4\ ft$

Space occupied by the box is equal to its volume i.e.

$\Rightarrow V=l\times b\times h\\\Rightarrow V=4\times 8\times 2\\\Rightarrow V=64\ ft^3$

The volume of the box is $64\ ft^3$ .

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2 years ago

Hello my all teacher how are you

jeka57 [31]

Answer:

fine/good/healthy

how about you

Step-by-step explanation:

◕‿◕

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2 years ago

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