<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%203%20%3D%200" id="TexFormula1" title=" {x}^{2}

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xenn [34]

3 years ago

3 = 0" alt=" {x}^{2} - 6x + 3 = 0" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

miskamm [114]3 years ago

8 0

The answer should be 5.45 if you factor it

grin007 [14]3 years ago

6 0

Yes the answer is 5.45 :)

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

$T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75$

$T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3$

4 0

2 years ago

What is -4-2? Help please

Natalija [7]

$\bold{Hey\ there!} \\ \bold{-4-2\downarrow}\\ \bold{-4+(-2)}\\ \\ \\ \\ \bullet \bold{negative\ and\ negative = positive} \\ \bullet{\bold{positive\ and\ negative=negative}} \\ \bullet\bold{negative\ and\ positive=negative}\\ \bullet\bold{positive\ and\ positive= positive} \\ \\ \\ \boxed{\bold{This\ means\ that\ your\ answer\ will\ turn\ out\ to\ be\ a\ negative!}} \\ \\ \\ \\ \boxed{\boxed{\bold{Answer:-6(Option\ A.)\checkmark}}}$