Answer:
Part 1 :
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,
If t = 0 min, A = 250 grams,
If t = 250, A = 32 grams,
Taking ln both sides,
Hence, the equation that shows this situation,
Part 2 : If A = 250/2 = 125,
Taking ln both sides,
Therefore, the half life of the substance would be 84 minutes.
Answer:
A
Step-by-step explanation:
O = 26.6
P is a right angle so:
P = 90
angles PQO = 180
To determine Q: triangle total - (P + O)
180 - (90 + 26.6)
180 - 116.6 = 63.4
Q = 63.4
To determine side lengths: a^2 + b^2 = c^2
4^2 + b^2 = c^2
*Variable c is always hypotenuse*
Need more information so find either b or c through SOH, CAH, TOA
SOH: sine = opposite/hypotenuse
CAH: cos = adjacent/hypotenuse
TOA: tan = opposite/adjacent
tan26.6/1 = b/4
Cross multiply
1 × b = 4 × tan26.6
b = 4tan26.6
b = 2.003050791
b is about 2
b = PQ
PQ = 2
Plug b value into pythagorean theorm
4^2 + 2^2 = c^2
16 + 4 = c^2
20 = c^2
square root of 20 = square root of c^2
4.47213.... = c
c is about 4.47
c = QO
There are 1760 yards in a mile
2 miles = 3520 yards
he runs 80 yards per practice (4×20)
3520÷80= 44
he needs to do the practice 44 times.
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There are 128 oz in a gallon
he brought two gallons, meaning 256 oz
each cup holds 8 oz
256 ÷ 8 = 32
he can serve 32 cups.
Rational numbers are numbers that can be written as the fraction of two integers. To multiply rational numbers together, simply the problem, then you multiply the tops and the bottoms separately to get your answer.