Given:
The logarithmic equation is:
To find:
The exponential equation for the given logarithmic equation.
Solution:
We have,
It can be rewritten as:
Using 
, we get
Therefore, the correct option is C.
Answer:
It will take 4 minutes and 30 seconds for hot coffee to cool to a temperature of 25 ° C
Step-by-step explanation:
This problem can be modeled by a first order equation
T(t) = TA + kt
In which TA is the temperature at instant zero and r is the rate of warming(g>0) or cooling(k<0). t is the time in minutes.
The initial temperature of the cup of coffee is 70ºC. So TA = 70. The temperature cools at the rate of 10ºC per minute, so k = -10. So, the equation of the model is:
T(t) = 70 - 10t
We want to know the instant of time when T = 25, so:
25 = 70 - 10t
10t = 70 - 25
10t = 45
t = 4.5 minutes
It will take 4 minutes and 30 seconds for hot coffee to cool to a temperature of 25 ° C
after four weeks he has 86 dollars. after everything he has 50 dollars
Answer:
F=2x^2+24
Step-by-step explanation:
F (x+3)=2x^2+6
F=2(x+3)^2+6
F=2(X^2+9)+6
F=2x^2+18+6
F=2x^2+24
Answer:
square root of 7
Step-by-step explanation:
Each right angle triangle has 3 sides known as the opposite, adjacent and hypotenuse sides. The relationship between these 3 sides is as defined by pythagoras theorem which states that
a² + b² = c²
where a and b are the lengths of the opposite and adjacent sides (in no particular order) and c is the length of the hypotenuse side.
Given that the leg of a right triangle is 3 units and the hypotenuse is 4 units, it means that
a² + 3² = 4
where a is the length in units, of the other leg of the triangle
a² = 4² - 3
a² = 16 - 9
= 7
a = √7
