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dybincka [34]
3 years ago
12

Solve. [{-9 + x}] ----------- = 3 8

Mathematics
1 answer:
qwelly [4]3 years ago
6 0
-9+x=38
+9. +9
x=47 dats all
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What is the product please <br> -1/6 x 7 x 2/5
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Answer:

- \frac{7}{15}

Step-by-step explanation:

\frac{-1}{6} * \frac{7}{1} *\frac{2}{5} = - \frac{14}{30} = - \frac{7}{15}

You just multiply across the numerators and denominators. 14/30 can be divided by 2 on both sides to get -7/15.

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A cup of tea with initial temperature of I = 85C^(circ) is left in the room with a constant temperature A = 21^(circ). In one mi
tatyana61 [14]

Answer:

  • 45.9° after 1 hour
  • 22° after 264 minutes

Step-by-step explanation:

The temperature can be modeled by a decaying exponential function with an initial value of (85° -21°) = 64° and a vertical offset of 21°. The temperature T as a function of time t can be written as ...

  T(t) = 21 +64(63/64)^t . . . . where t is in minutes and T is in degrees

The ratio 63/64 is the fraction of the initial temperature difference that remains after 1 minute.

We are asked for two points on the curve described by this function:

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The temperature after 1 hour will be about 45.9 °C.

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(b) Solving for t, we get ...

  22 = 21 +64(63/64)^t . . . . fill in the value of T

  1 = 64(63/64)^t . . . . . . . . . subtract 21

  1/64 = (63/64)^t . . . . . . . . .divide by 64

  log(1/64) = t·log(63/64) . . . take the log

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The temperature of the tea will be 22° after 264 minutes.

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3 years ago
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The sample space, S will be

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.

Let, 'B' represents the event in which the number 6 is drawn from the bag.

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Therefore,

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⇒ A = {1, 2, 3, 4, 5, 7, 8}.

Thus, (C) is the correct option.

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