Answer:
(B) the first box
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Answer:
Step-by-step explanation:
12.
Statements:
1. RS bistecs PQ at T; PQ bisects RS at T.
2. RT is congruent to ST; PT is congruent to QT.
3. Angle T is congruent to angle T.
4. Triangle PTS is congruent to triangle QTR.
Reasons:
1. Given.
2. Definition of a bisector of a line segment.
3. Reflexive Property.
4. SAS Postulate
13.
Statements:
1. AB is congruent to AD; AC bisects angle BAD.
2. Angle BAC is congruent to angle DAC.
3. AC is congruent to AC.
4. Triangle ABC is congruent to triangle ADC.
Reasons:
1. Given.
2. Definition of a bisector of an angle.
3. Reflexive Property.
4. SAS Postulate.
Exponential Growth
Some real-life events grow in such a way that they can be modeled as an exponential function, given as:
Where C(t) is the future value of the measured variable, Co is its initial value, r is the growth rate and t is the time.
We are given the following data:
Initial amount: Co=40 bacteria
Growth rate: 1 + r = 3
The bacteria triples every 4 days, thus t is the number of periods of 4 days.
Thus the model is:
We can solve the equation
1 + r = 3
And get r = 2. Rewriting the equation:
We are required to find the number of bacteria after 20 days, that is, after 20/4 = 5 periods of 4 days. Substituting:
Calculating:
The colony would have 9,720 bacteria after 20 days
Answer: 4.32
Step-by-step explanation:
wholes = 3
tenths = 13
hundredths = 3
After regrouping
tenths = 3
wholes = 4
therefore the answer is 4.32
I hope this helped good luck!