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Yuri [45]
3 years ago
15

1. Use a property of exponents to write (3b)⁵ as a product of powers. 2. What is the width of the rectangle written as an expone

ntial expression? - Area: 10⁴ m² - Length: 10³ m
Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

Step-by-step explanation:

1. (3b)^5

= (3b)^2 * (3b)^3.

2.  Width = area / length

= 10^4 / 10^3

= 10^(4-3)

= 10 m.

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Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
2 years ago
Which number line correctly shows 4.5 -2.5?
Alecsey [184]

Answer: A

Step-by-step explanation: This is because the first line goes forward 4.5 and the second line moves it back 2.5 and 4.5-2.5 is 2 which is the endpoint of answer a

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3 years ago
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Leslie cuánto de interés ganara Leslie sí presta 5000 durante tres años con el interés simple anual de 5%
alisha [4.7K]

Answer:

lokókà

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Step-by-step explanation:

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3 years ago
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The owner of a small store buys coats for 55.00 each <br><br> He sells the coats for 66.00 each
liubo4ka [24]

he must buy 24 jackets to get atheist 260 dollars

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2 years ago
5. El valor de un producto bancario es de 15€. El lunes sube un 3%, el martes baja un 7% y el miércoles sube un 10%. ¿Con qué va
Alenkinab [10]

Answer:

El valor con el que comienza el jueves es 15.80535. El porcentaje de aumento desde el lunes es 5.369%

Step-by-step explanation:

Consideremos una cantidad x de un producto bancario, al multiplicar x por el factor (1+k%) implica un cambio de k% en el valor x. Si decimos que aumentó el valor de x, entonces k es positivo y si decimos que baja el valor de x, entonces tomamos k negativo.

Para comenzar, tenemos que x = 15. El valor con el que inicia el martes está dado por 15*(1+3%). Para calcular en cuánto comienza el miércoles, multiplicamos este valor por (1-7%). Es decir, 15*(1+3%)*(1-7%).

Finalmente, calculamos el valor inicial al jueves multiplicando por (1+10%).

Es decir,q ue el valor inicial el jueves es

15\cdot (1+3\%)\cdot(1-7\%)\cdot(1+10\%)= 15.80535

Para calcular el porcentaje de aumento con respecto al lunes, dividimos este valor por el costo inicial (15). POsteriormente, restamos 1 al resultado y lo multiplicamos por 100 (así nos da un porcentaje). Si el resultado final es positivo, es un aumento, y si es negativo es una disminución. En este caso el porcentaje es

(\frac{15.80535}{15}-1)\cdot 100 = 5.369\%

6 0
3 years ago
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