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Lesechka [4]
3 years ago
9

Simplify the expression x^5 • x^7

Mathematics
2 answers:
sweet [91]3 years ago
8 0

Answer:

x^12

Step-by-step explanation:

just add the exponents when multiplying

iragen [17]3 years ago
7 0

Answer:

\Huge\boxed{\mathsf{\Rightarrow X^1^2}}

Step-by-step explanation:

<h3><u>TO SOLVE:</u></h3>

With exponent rule.

<h3><u>SOLUTIONS:</u></h3>

First, use exponent rule.

<u><em>EXPONENT RULE:</em></u>

<u><em /></u>

\displaystyle \mathsf{\Rightarrow A^B*A^C=A^B^+^C}}

\displaystyle \mathsf{X^5^+^7}}

Solve.

Add the numbers from left to right.

\displaystyle \mathsf{7+5=\boxed{\mathsf{\Rightarrow 12}}}}

\Rightarrow \Large \boxed{\mathsf{X^1^2}}}

So, the final answer is x¹².

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3 years ago
Evaluate cos(sin^-1(4/5)
PSYCHO15rus [73]

Step-by-step explanation:

Let \:   \: \theta =  \sin^{ - 1}  (\frac{4}{5})  \\  \\  \therefore \:  \sin\theta = \frac{4}{5} \\  \\  \because \:  { \cos}^{2} \theta =1  - { \sin}^{2} \theta  \\  \\  \therefore \: { \cos}^{2} \theta  = 1 - (\frac{4}{5} )^{2}  \\ \\   = 1 -  \frac{16}{25}  \\  \\  =  \frac{25 - 16}{25}  \\  \\  =  \frac{9}{25}  \\  \\   \therefore \:{ \cos}\theta  = \pm \:  \frac{3}{5}  \\  \\  \because \:  \theta \: lie \: in \: the \: first \: quadrant \\  \\  \therefore \: { \cos}\theta  =  \:  \frac{3}{5}  \\ \\  \implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}\\\\\implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}= { \sin}^{ -1 }  \: \frac{4}{5} \\  \\  \therefore \:  \cos( \ {sin}^{ - 1}  \frac{4}{5} ) \\ \\ =  \cos( \ {cos}^{ - 1}  \frac{3}{5} )   \\\\ = \frac{3}{5}  \\  \\   \purple{ \boxed{\therefore \: \cos( \ {sin}^{ - 1}  \frac{4}{5} ) = \frac{3}{5}}}

8 0
3 years ago
Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuánt
mariarad [96]

Answer:

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables a calcular son:

  • x= cantidad de botellas de 2 litros.
  • y= cantidad de botellas de 5 litros.

Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:

\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.

Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:

x= 1200 - y

Sustituyendo la expresión en la primer ecuación:

2*(1200 - y) + 5*y=3000

Resolviendo se obtiene:

2*1200 - 2*y + 5*y= 3000

2400 +3*y= 3000

3*y= 3000 - 2400

3*y= 600

y= 600÷3

y= 200

Reemplazando en la expresión x= 1200 - y:

x= 1200 - y

x=1200 -200

x= 1000

<u><em>Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.</em></u>

7 0
3 years ago
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