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3 years ago

The letters of ALABAMA and LAMB were placed on separate slips of paper and put into two different bags.

Mathematics

1 answer:

labwork [276]3 years ago

5 0

Answer:

45%

Step-by-step explanation:

There are 5 A's out of a total of 11 letters which is 5/11. 5/11 as a decimal is 0.45 which, as a percentage, is 45%

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How do I solve this

sdas [7]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}$

$\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}$

3 0

3 years ago

Which expression is equivalent to the following?

xeze [42]

Step-by-step explanation:

$\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2}$

$= (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2}$

$= \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)$

$= 2\sin^{2}x - 1$

$= - \cos2x$

Note: I used the identity

${ \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)$

for the last step.

PS. I love proving trigonometric identities!

3 0

3 years ago

HELP ASAP!!! Characterize the slope of the line in the graph. A. Zero B. Undefined C. Positive D. Negative

Alexxandr [17]

Answer:

Undefined

Explanation:

When a line is vertical like that, the slope is undefined. If it was horizontal, then it would be zero. Positive slopes go in an upward right direction. Negative slopes go in a downward left direction.

5 0

3 years ago

1.)The product of five and a number x

lina2011 [118]

Answer:

1.) 5x

2.) 2/3x^2

3.) 53 + x

4.) 32d

5.) 19 + 2x

1.) The product of five and a number x

2.) The product of twenty four and a number x

3.) The sum of a number y and nineteen

4.) The difference of a number x and two

4.) A number y divided by two / The quotient of a number y and two

Explanation:

Keep in mind the following definitions:

Sum means addition +
Difference means subtraction -
Product means multiplication *
Square means ^2

4 0

3 years ago

Read 2 more answers

Lines L and M are parallel.

exis [7]

well since its this its its its 27

7 0

3 years ago