3 years ago

Select the expressions that are equivalent to 10 + 2x + 5y + 3x.

Mathematics

1 answer:

Ierofanga [76]3 years ago

3 0

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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

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

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

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2 years ago

Evaluate the expression 23[1/4 +4(36÷12)]

Katyanochek1 [597]

Step-by-step explanation:

23 [1/4 +4(36÷12)]

23 [1/4 +4×3]

23 [0.25 +12]

23 ×12.25

281.75

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3 years ago

Can you show in a visual way ? Like graph or table ?

denpristay [2]

Answer:

Yes

Step-by-step explanation:

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3 years ago

Which quadrilaterals have parallel opposite sides? Select all that apply.

Brrunno [24]

Parallelogram square rectangle

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3 years ago

1. Michael buys a chocolate bar which has 50% extra free. The chocolate bar usually weighs 200g. (a) How much extra chocolate do

KiRa [710]

Answer:

1/2 more chocalte or 50% more or 100g more

300g is the new weight

Step-by-step explanation:

200/2=100(50%)

100+200=300g

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2 years ago