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Tatiana [17]
4 years ago
11

Simplify 6x/10x2\6/10x3-60x2 A.x-6 B.x-4 C.4 D.x-1

Mathematics
1 answer:
Anna71 [15]4 years ago
3 0

Answer:

  A.  x-6

Step-by-step explanation:

Maybe you want to simplify ...

  ((6x)/(10x^2))/(6/(10x^3 -60x^2))

Invert and multiply. Cancel common factors from numerator and denominator.

  \dfrac{\left(\dfrac{6x}{10x^2}\right)}{\left(\dfrac{6}{10x^3-60x^2}\right)}=\dfrac{6x}{10x^2}\cdot\dfrac{10x^3-60x^2}{6}=\dfrac{6\cdot10x^2}{6\cdot10x^2}(x-6)\\\\=\boxed{x-6}

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Some investments in the stock market have earned 10% annually. At this rate , earnings can be found using the formua A=P(1.10)^n
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Answer:

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3 years ago
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Leona [35]

Answer:

The initial temperature of the object was 37.6

Step-by-step explanation:

we have

f(t)=Ce^{(-kt)} +20

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

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we have the ordered pair (4,35)

substitute in the equation and solve for C

35=Ce^{(-0.0399*4)} +20\\Ce^{(-0.0399*4)}=15\\C=15/e^{(-0.0399*4)}\\C=17.6

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

so

For t=0

f(0)=(17.6)e^{(-k*0)} +20\\f(0)=17.6 +20\\f(0)=37.6

therefore

The initial temperature of the object was 37.6 (I not include units)

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