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3 years ago

1- un tinaco se llena en 8 horas utilizando 4 llaves. en cuanto tiempo se llenara con 7 llaves?

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

Answer: 4.6 horas.

Step-by-step explanation:

Podemos calcular el tiempo necesario por una llave:

si sabemos que se llena en 8 horas con 4 llaves, entonces una sola llave va a tardar 4 veces 8 horas en llenar el tinaco, es decir, una sola llave tarda:

4*8h = 32 horas

ahora, si usamos 7 llaves, el tiempo necesario va a ser un septimo de eso:

(32 h por llave)/(7 llaves) = 32/7 horas = 4.6 horas.

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X-5/2 =9 solve for x

Liono4ka [1.6K]

Best Answer: (x - 5)^2 = 9
x - 5 = ±√9
x = 5 ± 3
x = 2, 8

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3 years ago

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The volume of a right square prism is 588 cubic centimeters and its height is 12 cm. What is the length of each side of the base

Sauron [17]

Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

$\sqrt{49}$ = 7 * Since 7 times 7 equals 49

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3 years ago

Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

4 0

3 years ago

A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6

Citrus2011 [14]

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate= 3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calacluated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

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3 years ago

What is the inverse of y=x+5/3

fenix001 [56]

Answer:

x= -5/3

Step-by-step explanation:

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3 years ago