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2 years ago

11

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

appreciate it!

2 answers:

icang [17]2 years ago

7 0

92 yds
I think this is correct

xxMikexx [17]2 years ago

3 0

i think its 92 yd

Hopefully its right

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defon

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3 years ago

the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

<u>Step-by-step explanation:</u>

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

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3 years ago

Given that the slope of the graphed linear function is -3, which formula could represent the function?

stepan [7]

Answer: y= -3(x+4)

Step-by-step explanation:

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2 years ago

A rocket is launched with an initial velocity of 360 ft/s. The height of the rocket in meters is modeled by the function shown b

lara31 [8.8K]

The answer for this question is d
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3 years ago

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Elis [28]

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Step-by-step explanation:

9(7+9) = 63 +81

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3 years ago

Read 2 more answers