Answer:
it will take about 7.5 hours to increase from 20 to 2000
Step-by-step explanation:
y(t) = a e^kt
20 = a e^ kt1
2000 = a e^ kt2
divide these equations
2000/20 = a e^ kt2/ a e^ kt1
when dividing the exponents subtract
100 =a/a e^(kt2-kt1)
factor out the k
100 = e ^ k(t2-t1)
take the natural log on each side
ln(100) = ln (e^ k(t2-t1)
ln (100) = k(t2-t1)
divide by k
ln(100)/k = (t2-t1)
we know k=.614
ln(100)/.614 = t2-t1
7.500277 = t2-t1
it will take about 7.5 hours to increase from 20 to 2000
Answer: 4^-2 and 2^-4.
Step-by-step explanation: You chose the right ones.
Answer:
B
Step-by-step explanation:
In an isosceles trapezoid any lower base angle is supplementary to any upper base angle, thus
6x + 2x + 4 = 180, that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22 → B
Answer:
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Step-by-step explanation:
Given:
To find:
The congruent angles and sides, then find the another valid congruency statement.
Solution:
We have,
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
Using CPCTC, we get
Angles:
Sides:
The another congruent statement is .
Therefore, the required table is
Angles Sides
The another congruent statement is .