Tiffany's quiz grades on the first four quizzes are 72. 87.83 and 91. In terms of an inequality, what scores on the last quiz wi

Response:

a

    f'(t) is negative

b

 The unit is degC/min

c

At 35 minutes since the coffee was placed on the counter, the temperature is 68, and it will drop by approximately 0.75 in the next 30 seconds.

Detailed explanation:

According to the question, we are informed that

   The temperature of a cup of coffee on a counter is represented by the equation

         

where t indicates the time in minutes since the coffee was set on the counter.

In general, f(t)' denotes the derivative of f(t), indicating the change in temperature over time for the coffee

As the coffee rests on the counter, its temperature tends to decrease after a few minutes; thus, f(t)' is negative.

The temperature is measured in degrees Celsius while time is expressed in minutes.

Therefore, the change in temperature with respect to time, f(35)', will be given in degrees Celsius per minute (i.e., degC/min).

The question states that

       

which means the rate of temperature change after 35 minutes is 1.5.

And

         

indicating that the coffee's temperature after 35 minutes is 67 degrees Celsius.

Subsequently, after another t= 30 seconds = the rate at which the coffee's temperature changes is

         

=>        

=>            

Thus

At 35 minutes since the coffee was placed on the counter, its temperature is 68 and will drop by roughly 0.75 in the next 30 seconds.

     

Cubing both sides of an equation is a reversible process. Detailed explanation: Squaring both sides isn't reversible because squaring a negative number produces a positive result, thus making it impossible to retrieve the original negative base, as square roots of negative numbers do not exist within real numbers. In contrast, cubic powers allow for reversibility; the cubic root of a negative number remains negative. For example, if we cube both sides and wish to revert to the original equation, we can do so using the cubic root on each side. Hence, cubing both sides is reversible.

Answer:

II AB = CD

Step-by-step explanation:

|AB| = |CD|

Answer: 0.31

Step-by-step explanation:

Let A signifies the event of the Tampa Bay Buccaneers scoring a touchdown on their initial drive while B signifies the occurrence of their defense achieving 3 or more sacks during the game.

Given: P(A)=0.14     P(B) = 0.31     P(A or B)=0.14

Formula: P(A and B)= P(A) + P(B) - P(A or B)

Now, we calculate the probability of both scoring a touchdown on the initial drive and achieving 3 or more sacks in the game as follows:-

P(A and B)= 0.14 + 0.31 - 0.14=0.31

Therefore, the required probability is: 0.31