Answer:
Domain = all real numbers
Range = {-1 [greater than or equal to] y [greater than] Infinity}
Correct answer for the above question is - option B. 86°
<u>Step-by-step explanation:</u>
Given:
∠NOP = 24°
∠NOQ = 110°
∠NOP and ∠POQ are adjacent angles
To Find:
∠POQ = ?
Solution:
Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )
∠NOQ - ∠NOP = ∠POQ
∠POQ = 110° - 24°
<u>∠POQ = 86°</u>
Angle POQ is 86°
Thus we can conclude option B as correct answer.
Answer:
Half-life of the goo is 49.5 minutes

191.7 grams of goo will remain after 32 minutes
Step-by-step explanation:
Let
denotes initial and final mass.

According to exponential decay,

Here, t denotes time and k denotes decay constant.

So, half-life of the goo in minutes is calculated as follows:

Half-life of the goo is 49.5 minutes

So,

Put 

Put t = 32 minutes

<h2>$40,000</h2>
Step-by-step explanation:
Andrew paid 30% in taxes, which means he has 70% remaining
30% Cash Prize + 70% Cash Prize = 100% Cash Prize
If C = Original Cash Price
Remaining Cash = 70% x C = $28,000
C = $28,000 / 70% = 28000/0.7 = $40,000