The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tow

Answer:

$82.3

Step-by-step explanation:

82 multiplied by 25 equals 2050.

Adding 90 gives 2140.

Dividing 2140 by 26 results in 82.3.

Answer:

6216.66

Detailed explanation:

(8*40)+6%*×=$692; 320 + 0.6x = 692; 0.6x=692-320; 0.6x=373; x=373÷0.6; x=6216.66

a(t) = 210 - 5t

(1) What does t represent?

Since t is given in minutes, it stands for time.

Interpreting t as the balloon’s altitude is incorrect since a(t) represents altitude.

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

Time elapsed since the balloon starts descending

This is the correct interpretation.

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

Time for the balloon to reach ground level is incorrect because that would be a fixed moment, not a variable t.

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

(2) What does a(t) represent?

The balloon’s altitude

This is the correct answer.

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

Time since descent began is incorrect because that is represented by t.

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

Time to reach the ground is inaccurate since a(t) is altitude, not time.

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

(3) What does a(5.5) signify?

It does not represent the time to reach 5.5 feet altitude.

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

The altitude of the balloon after 5.5 minutes

This is the correct interpretation since a(5.5) is altitude when t = 5.5 minutes.

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

It is not the time needed to reach the ground.

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

5.5 minutes alone is not correct because a(t) denotes altitude, not time.

a(5.5) refers to altitude at t = 5.5 minutes.

The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.

:

D = 120 feet

:

Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.

The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92

:

********************************************************

1) The combined distance around both circle and triangle totals 661.06 feet.

********************************************************

:

**************************************************************

2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.

The distance from the center to any vertex of the triangular area represents the radius of the

circular pool.

**************************************************************

:

*****************************************************************

3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.

*****************************************************************

:

***********************************************************

4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =

(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet.

***********************************************************

:

*****************************************

5) 8196.685 * x < 30000

x < 3.66 feet

The average depth needs to be below 3.66 feet

*****************************************

Answer:

Expiration Date: 1/17/2017

Expiration Time: 4:00am

Preparation Date: 12/3/2016

Preparation Time: 4:00am

Initial Usage Date: 12/7/2016

Detailed Breakdown:

An illustrative depiction of the question has been provided in an image format for clarity.

From the information given, it is noted that her store order arrived on 12/3/2016 at 4am, confirming that both the prep date and time are 12/3/2016 and 4am respectively. The product has a printed expiration date of 1/17/2017, logically indicating that its expiration time is also 4am, in line with the prep time; adding 24 hours leads us back to the same time on the expiration date. Furthermore, we were informed that she utilized the product on 12/7/2016, which marks the initial use date. Based on this information, we can summarize as follows:

Expiration Date: 1/17/2017

Expiration Time: 4:00am

Preparation Date: 12/3/2016

Preparation Time: 4:00am

Initial Usage Date: 12/7/2016