Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

Jerome's share of the total profit amounts to one-third. To determine the overall profit of the company, multiply his profit by 3.
If he earned $150,000, the calculation would be:
150,000 × 3 = $450,000

So, the total profit is $450,000.

The dot simply represents multiplication.

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.

     

Calculating (-15)/3 gives -5.

The operation (-15)/3 can be visualized using red tiles for negatives and yellow for positives. The problem asks how many tiles remain when dividing 15 negative tiles among three groups equally. Using red tiles signifies the negative value involved. The division yields 5 red tiles in each group, establishing that the overall answer is negative.

<span>A number line is a visual method for performing addition using points on a line.
=> 235 + 123
Begin at 0 and move to 235. From 235, move forward another 123 units.
Then from zero mark the position you reach after adding 123 to 235.

This gives:
=> 235 + 123
=> 358.
See the attached image for a number line depiction.</span>Answer:

Note. The original question with options given on the bottom

Answer:

F - 1, B - 2, A - 3, D - 4, C - 5, E - 6

Step-by-step explanation:

F. Sample

• The manager noted 25 customers who left

B. Population  

• The entire set of customers at the bank

A. Statistic  

• The mean waiting time for the 25 customers before leaving the bank

D. Parameter  

• The mean waiting time for all customers prior to exiting the bank

C. Data  

• The recorded durations for the 25 customers who exited the bank

E. Variable  

• The duration a customer remains waiting before departing the bank

========================================================

Question

A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.

---------------------

1. The 25 customers that the manager observed leave

2. All of the bank's customers

3. The average length of time that the 25 customers waited before leaving the bank

4. The average length of time that all customers will wait before leaving the bank

5. The list of times for the 25 customers who left the bank

6. The length of time a customer waits before leaving the bank

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• A. Statistic
• B. Population
• C. Data
• D. Parameter
• E. Variable
• F. Sample