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Degger [83]
2 years ago
12

Write 6X10X10X10X10 with an exponent.

Mathematics
1 answer:
Marizza181 [45]2 years ago
3 0

Answer:

6 × 10 × 10 ×10 × 10 = 6 \times 10^{4}

Step-by-step explanation:

The exponent of any number shows that how many times that number can be used in multiplication. It is the power raised to any number which show the number of times that number is raised by.

6 × 10 × 10 ×10 × 10

Here 10 is multiplied 4 times, therefore the exponent of 10 is 4.

∴ 6 × 10 × 10 ×10 × 10 = 6 \times 10^{4}

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The answer is A.NP.
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2 years ago
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∠ABC and ∠DBC are complementary angles. If m∠ABC=6x+13 and m∠DBC=4x−3 what is the value of x?
egoroff_w [7]

Answer:

x=8

Step-by-step explanation:

Complementary angles are equal to 90 degrees.

angle ABC + angle DBC = 90

6x+13+4x-3=90

Combine like terms

6x+4x+13-3=90

10x+10=90

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4 0
2 years ago
13. En un pueblo, 5 personas escucharon una noticia. En una hora, cada una de ellas
Vera_Pavlovna [14]

Answer:

En 5 horas se habrá enterado todo el pueblo.

Step-by-step explanation:

Sabemos que en un pueblo 5 personas escucharon una noticia.

Una hora más tarde, cada una de ellas le contó la noticia a otras 5.

Luego, éstas contaron la noticia a otras 5 y así sucesivamente.

Nadie cuenta ni escucha la noticia más de una vez y en ese pueblo hay un poco más de 19000 habitantes.

La ecuación a desarrollar para resolver el problema es la siguiente :

Comenzamos con 5 personas que escucharon la noticia a la ''hora 0''.

Una hora más tarde, cada una de ellas le contó a 5 personas, es decir , pasada la primera hora tendremos :

5+5^{2}=30 (I)

Las 5 personas originales de la ''hora 0'' más 25 personas que se enteraron pasada la primera hora. La ecuación que planteamos es la siguiente :

5^{1}+5^{2}+5^{3}+...+5^{x}>19000 (II)

Buscamos el valor de x que satisface la ecuación (II).

Probando y realizando las sumas encontramos que :

5^{1}+5^{2}+5^{3}+5^{4}+5^{5}+5^{6}>19000

19530>19000

El valor de x que satisface (II) es x=6.

Para hallar el número de horas nos fijamos que en (I) el valor del mayor exponente del 5 es el número 2. Para ese valor 2, el tiempo que pasó es una hora.

Entonces para nuestro x=6, el número de horas que pasaron son 5 horas (1 menos que el valor de x)

Todo el pueblo se habrá enterado en 5 horas de la noticia.

7 0
2 years ago
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Step-by-step explanation:

7 0
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