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ozzi
4 years ago
7

Simplify the expression where possible. (x^4y^2)^3

Mathematics
2 answers:
nikdorinn [45]4 years ago
5 0

Answer:

x^12y^6

Step-by-step explanation:

math

Marianna [84]4 years ago
4 0

Answer:

x^{12}*y^6

Step-by-step explanation:

We know that (a*b)^{m}=a^{m}*b^{m}

Given (x^{4}*y^{4})^{3}

here a=x^{4} and b=y^{4}

by using the above principle we get

(x^{4}*y^{4})^{3}=(x^{4})^{3}*(y^{2})^{3}

We know that (a^{m})^{n}=a^{mn}

(x^{4}*y^{4})^{3}=x^{4*3}*y^{2*3}=x^{12}*y^6

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The price-earnings ratio for firms in a given industry follows the normal distribution. In this industry, a firm whose price-ear
lesantik [10]

Answer:

The correct answer is

A. 16%

Step-by-step explanation:

The zscore is used to solve problems of normally distributed samples.

This score indicates the percentage of a certain measure. It can be found looking at the z table.

For example, if a measure has a percentile of 75%, it is in the 100%-75% = highest 25 percent of all the measures.

Z = 1 has a pvalue 0.8413. So it is in the highest 1-0.8413 = 0.1587 = 16% percent of firms in the industry.

The correct answer is

A. 16%

4 0
3 years ago
Is 1.75 less or greater than 1 1/2
julsineya [31]

Answer:

Greater 1 1/2 is 1.50

Step-by-step explanation:

Please Brainliest if right <3

7 0
3 years ago
Read 2 more answers
En la división sintética sólo son tomados en cuenta los coeficientes del divisor?
Airida [17]

La división sintetica sirve para el cociente entre polinomios, la cual es particularmente util para cuando tenemos un numerador de grado alto y un denominador de grado 1.

Veremos que si, en la división sintética solo son tomados en cuenta los coeficientes del divisor.

Para explicarla, usaremos un ejemplo.

x^3 - 2x^2 + 5x + 3  será el <u>numerador</u>

x - 2 será el <u>denominador.</u>

Para poder aplicar la división sintetica, el maximo exponente en el <u>denominador </u>debe ser uno.

Así, nuestro cociente es:

\frac{x^3 - 2x^2 + 5x + 3}{x-2}

Procedemos a igualar el <u>denominador</u> a cero:

x - 2 = 0

x = 2

Ahora veremos los coeficientes del <u>numerador</u> (el <u>numerador </u>es el <u>divisor</u>).

Lo que debemos hacer es tomar cada coeficiente (comenzando por los que multiplican a los terminos con mayor exponente) y multiplicarlos por este número.

En este caso, el primer coeficiente es 1.

2*1 = 2

Ahora le sumamos esto al proximo coeficiente, que es -2:

-2 + 2 = 0

Multiplicamos esto por el valor de x, que es 2.

2*0 = 0

Ahora sumamos esto al proximo coeficiente, que es 5

5 + 0  = 5

Multiplicamos esto por el valor de x, que es 2:

5*2 = 10

Sumamos esto al ultimo coeficiente, que es 3.

10 + 3 = 13

Este ultimo valor es el residuo, y los primeros 3 números que obtuvimos son los coeficientes del cociente, entonces el cociente será:

1*x^2 + 0*x + 10 = x^2 + 10

Como vimos, solo usamos los coeficientes del numerador/divisor para realizar esta operación, por lo que si, solo los coeficientes del divisor son tomados en cuenta.

Si quieres aprender más, puedes leer:

brainly.com/question/10466403

3 0
3 years ago
What are four consecutive numbers if the sum is 604
antiseptic1488 [7]

Answer:

149.5, 150.5 , 151.5, 152.5

Step-by-step explanation:

n+(n+1)+(n+2)+(n+3)= 604

Combine Like Terms

4n + 6 = 604

Subtract 6

4n = 598

Divide by 4

n=149.5

Check Your Work:

149.5+150.5+151.5+152.5 = 604

5 0
3 years ago
An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 8 times orexactly 5 times?
Kitty [74]

Answer:

Probability to get tails exactly 8 times or exactly 5 times is 0.29

Step-by-step explanation:

No of ways the coins lands tails exactly 8 times

P(8) = 15C8 × 0.5^{8} × 0.5^{15-8}

No of ways the coin lands tails exactly 5 times

P(5) = 15C5 × 0.5^{5} × 0.5^{15-5}

Probability to get tails exactly 8 times or 5 times

P(8)+P(5) =  15C8 × 0.5^{15} + 15C5 × 0.5^{15}

P = 0.5^{15} (  15C8 + 15C5 )

P = 0.5^{15} ( (  \frac{15!}{8!(15-8)!}  ) + ( \frac{15!}{5!(15-5)!} ) )

P = 0.5^{15} ( 6435 + 3003 )

P = 0.5^{15} ( 9438)

P = 0.5^{14} ( 4719)

P =  \frac{4719}{16384}

P = 0.29

8 0
3 years ago
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