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2 years ago

Which of the following values for m proves that 2m + 2m is not equivalent to 4m2?

Mathematics

2 answers:

Mashutka [201]2 years ago

6 0

M=0 i am not sure it is right

max2010maxim [7]2 years ago

4 0

When m=0 ,

2m+2m=2(0)+2(0)= 0

$4m^{2}.=4(0^{2})=0$

When m=1 ,

2m+2m=2(1)+2(1)=2+2=4.

$4m^{2}. =4(1)^{2}.=4.$

When m=2

2m+2m=2(2)+2(2)=4+4=8.

$4m^{2}.=4(2)^{2}.=4(4)=16.$

Both expressions are not equivalent when m=2.

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A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

77julia77 [94]

Answer:

The probability is 2,010,580/13,378,456

Step-by-step explanation:

Here is a combination problem.

We want to 7 cards from a total of 52.

The number of ways to do this is 52C7 ways.

Also, we know there are 12 face cards in a standard deck of cards.

So we are selecting 3 face cards from this total of 12.

So also the number of cards which are not face cards are 52-12 = 40 cards

Out of all these 40, we shall be selecting exactly 4. The number of ways to do this 40C4

Thus, the required probability will be;

(40C4 * 12C3)/52C7 = (91,390 * 220)/133,784,560

= 20,105,800/133,784,560 = 2,010,580/13,378,456

7 0

3 years ago

f(x) = square root ( x^4 -16x^2) let f be the function given by: . . a) Find the domain of f.. b) Find f '(x). c) Find the slope

Bond [772]

A ) The domain:
$x^{4} -16 x^{2} \geq 0 \\ x^{2} ( x^{2} -16) \geq 0 \\ x^{2} -16 \geq 0 \\ x^{2} \geq 16$
x ≤ -4 and x≥ 4 or: x ∈ ( - ∞ , - 4 ) ∪ ( 4 , + ∞ )
b ) f ` ( x ) = $\frac{1}{2 \sqrt{ x^{4} -16 x^{2} } } *( 4 x^{3} - 32 x ) = \\ = \frac{2x( x^{2} -8)}{ \sqrt{ x^{4}-16 x^{2} } }$
c ) The slope of the line normal to the graph at x = 5
m = -1 / f `(x)
f ` ( x ) = $\frac{10(25-8)}{ \sqrt{625-400} }= \frac{10*17}{15} = \frac{34}{3}$
m = - 3/34

8 0

3 years ago

How did the absent minded professor burn his ear?

Fittoniya [83]

He was ironing when the phone rang.

6 0

3 years ago

If x varies directly as y, and x = 200 when y = 11, find y when x = 500. Algebraic solution please.

zimovet [89]

Answer:

27.5

Step-by-step explanation:

x⠀⠀⠀⠀⠀|⠀⠀⠀⠀200⠀⠀⠀⠀|⠀⠀⠀⠀500

y⠀⠀⠀⠀⠀|⠀⠀ ⠀⠀ 11⠀⠀⠀⠀⠀|⠀⠀⠀⠀a

As x directly varies with y:

200 × a = 500 × 11

a = 5/2 × 11 = 27.5

5 0

3 years ago

This is my math homework and its geometry please help.

aniked [119]

The area of the shape is 28 square meters

<h3>Area of composite shapes</h3>

The given shape is a composite shape that is made up of a square and a rectangle.

The area of the shape is expressed as:

Area = area of square + area of rectangle

Substitute the given dimension

area of the shape = (2*2) + (6*4)

area of the shape = 4. + 24

area of the shape. = 28 square meters

Hence the area of the shape is 28 square meters

Learn more on area of rectangle here: brainly.com/question/2607596

#SPJ1

8 0

1 year ago