2 years ago

How many terms are in this expression 2x^3-10x^2+z 2 3 4 5

Mathematics

1 answer:

Arturiano [62]2 years ago

6 0

Theres three terms in the problem!

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A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to

s2008m [1.1K]

Answer:

Part 1 : $A=250 e^{-0.008223t}$

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

$A=A_0 e^{kt}$

If t = 0 min, A = 250 grams,

$250=A_0 e^{0}$

$\implies A_0 = 250$

If t = 250, A = 32 grams,

$32 = A_0 e^{250k}$

$32 = 250 e^{250k}$

$0.128 = e^{250k}$

Taking ln both sides,

$\ln(0.128) = 250k$

$\implies k =\frac{\ln(0.128)}{250}=-0.008223$

Hence, the equation that shows this situation,

$A=250 e^{-0.008223t}$

Part 2 : If A = 250/2 = 125,

$125 = 250 e^{-0.008223t}$

$0.5 = e^{-0.008223t}$

Taking ln both sides,

$\ln(0.5) = -0.008223t$

$\implies t =\frac{\ln(0.5)}{-0.008223}\approx 84$

Therefore, the half life of the substance would be 84 minutes.

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2 years ago

State if the given binomial is a factor of the given polynomial <br>(10x^3+95^2+40x-45)÷(x+9)

SVEN [57.7K]

write it neatly

Step-by-step explanation:

pls once more

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2 years ago

Math worth 10 points thx

bija089 [108]

what thy answer child

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2 years ago

Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa

Scorpion4ik [409]

Answer:

the hell you are talking about?

Step-by-step explanation:

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2 years ago

Luke is 5 years younger than 3 times in Sydney's age in the situation what does 3s represnt

Fudgin [204]

3s is 3 times sydneys age. so the equation would be 3s-5

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2 years ago