We have been given an equation 
. We are asked to solve the equation for t.
First of all, we will divide both sides of equation by a.
Now we will take natural log on both sides.
Using natural log property 
, we will get:
We know that 
, so we will get:
Now we will divide both sides by c as:
Therefore, our solution would be .
For this case we have a function of the form:
Where,
A: initial amount
b: growth rate (for b> 1)
x: independent variable
y: dependent variable
We then have the following function:
Using the definition, the following statements are correct:
1) The function is exponential
2) The function increases by a factor of 2.5 for each unit increase in x
3) The domain of the function is all real numbers
Answer:
Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)
Zeros: (0,0), (2,0), and (4,0)
End behavior: As x approaches infinity, the function approaches negative infinity. As x approaches negative infinity, the function approaches negative infinity.
Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)
Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)
plato answer
Step-by-step explanation:
Answer:
C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.
Since these are isosceles triangles, the base angles are the same:
m∠R = m∠T = m∠A = m∠C
Therefore the congruency statement can be written two different ways.
ΔABC ≅ ΔRST
ΔABC ≅ ΔTSR
Both statements could be correct.
Choosing between B) and C):
To move ΔABC to where ΔRST or ΔTSR is, you could either:
i) Translate 6 units to the left, and translate 3 units down
ii) Reflect across the y-axis, and translate 3 units down
It can be the result of two translations or a reflection and a translation.
In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.
Answer:
A. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
