Related questions with answers

A pair of dice is rolled in a remote location and when you ask an honest observer whether at least one die came up six, this honest observer answers in the affirmative. a) What is the probability that the sum of the numbers that came up on the two dice is seven, given the information provided by the honest observer? b) Suppose that the honest observer tells us that at least one die came up five. What is the probability the sum of the numbers that came up on the dice is seven, given this information?

Find the average value of each function over the given interval.

$f(x)=2 x-x^2$ over $[0,2]$

Given the expression $v_C=12 \mathrm{~V}\left(1-e^{-t / 20 \mu \mathrm{s}}\right)$ : a. Determine $v_C$ at $t=10 \mu \mathrm{s}$ . b. Determine $v_C$ at $t=10 \tau$ . c. Find the time $t$ for $v_C$ to reach $6 \mathrm{~V}$ . d. Find the time $t$ for $v_C$ to reach $11.98 \mathrm{~V}$ .

Question

Heat transfer in calories is given by
$Q = m c \Delta T,$
where m is mass in grams, c is specific heat capacity in
$\text { cal/g } ^ { \circ } \mathrm { C } , \text { and } \Delta T \text { is in } ^ { \circ } \mathrm { C .}$
What mass of water will give up 240 calories when its temperature drops from
$80^\circ C \text {to} 68^\circ C?$

Solution

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Answered 1 year ago

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The following are given in the problem;

\begin{align*}Q&=240\ \text{cal}\\T_{1}&=80^{\circ}C\\T_{2}&=68^{\circ}\end{align*}

Now the problem requires us to determine the mass it would take to heat up water, This can be solved by applying the general formula for the amount of heat energy which should be;