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4 years ago

What is 9/4 pounds equal to as a mixed number

Mathematics

1 answer:

Rufina [12.5K]4 years ago

4 0

Mixed number: 9/4 = 2 1/4

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A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of Upper W prime (t )eq

Naily [24]

Answer:

a) during the first 10 hours of growth the weight will increase 271.8% relative to the initial state ( or 2.718 g)

b) during the first 20 hours of growth the weight will increase 467.1 % relative to the initial state ( or 4.671 g)

Step-by-step explanation:

since the growing rate law is

W'(t) = 0.1 gr/hour * e^(0.1gr/hour* t) , W'(t) [gr/hour]

and following mathematical conventions: W'(t)= dW/dt

then

dW/dt=0.1 e^(0.1t)

∫dW =∫0.1 e^(0.1t) dt

W = e^(0.1t) + C

at the beginning, (time t=0) the weight is W=2 grams .Therefore

2 g = e^(0.1 g/h*0) + C → 2 g = 1 g + C → C = 1 g

then

W = e^(0.1t) + 1 g

at t= 10 hours

W = e^(0.1 g/h*10h) + 1 g = 3.718 g/h

therefore the weight will increase

ΔW = 3.718 g - 1 g = 2.718 g or 271.8% relative to the initial state

for t=20 hours

W = e^(0.1 g/h*20h) + 1 g = 8.389 g/h

thus, the from t= 10 hours to t= 20 hours the weight will increase

ΔW = 8.389 g/h - 3.718 g = 4.671 g or 467.1 %relative to the initial state

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3 years ago

QUESTION 5 Simplify 6 – 4x – 2 + x. 4 + x 4 – 3x 1 3 – 4x

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6 – 4x – 2 + x.

Combine like terms

= (6 - 2) + (-4x + x)

= 4 - 3x

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3 years ago

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3 years ago

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3 years ago

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mafiozo [28]

Answer:

2. {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}

Step-by-step explanation:

If f is an invertible function with domain X and range Y, then its inverse $f^{-1}$ has domain Y and range X.