Mathematics High School

The table below shows the height of a pyramid-shaped candle as it burns.

Please solve the table.

The Table Below Shows The Height Of A Pyramid-shaped Candle As It Burns.Please Solve The Table.

Answers

Answer 1

The average rate of change of candle height from time 45 minutes to time 109 minutes is -1 inch per 64 minutes.

What does average rate of change mean?

The average rate of change is a measure of how quickly one quantity changes relative to another. It is calculated by dividing the difference between two values by the difference in time between those two values. It is a useful metric when trying to understand the speed at which a given quantity is changing over time.

For example, To calculate the average rate of change in the number of students enrolled in a particular school over the course of 5 years. In year 1, the school had 200 students enrolled and in year 5 it had 350 students enrolled. To calculate the average rate of change, one would divide the difference between the two values (150 students) by the difference in time between them (4 years):

Average rate of change = (350-200) / (5-1) = 150 / 4 = 37.5

This means that, on average, the school's enrollment increased by 37.5 students each year.

The table showing the height of a pyramid candle as it burns can be calculated by dividing the change in height (2 inches) by the change in time (64 minutes).

Change in height = 2 inches

Change in time = 64 minutes

Average rate of change = (2 inches) / (64 minutes) = -1 inch per 64 minutes

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Related Questions

NEED HELP ASAP:In the year 2000, a person bought a new car for $15000. For each consecutive year
after that, the value of the car depreciated by 11%. How much would the car be worth
in the year 2004, to the nearest hundred dollars?

Answers

The car would be worth $9400 in the year 2004.

How to determine the worth of the car?

If the car depreciates by 11% each year, then its value at the end of each year will be 89% of its value at the beginning of the year (100% - 11% = 89%). Therefore, the value of the car after 1 year will be:

$15000 * 0.89 = $13350

The value of the car after 2 years will be:

$13350 * 0.89 = $11881.50

The value of the car after 3 years will be:

$11881.50 * 0.89 = $10576.77

The value of the car after 4 years (in the year 2004) will be:

$10576.77 * 0.89 = $9422.19

Therefore, the car would be worth $9400 in the year 2004.

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Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193. 75 CHF (Swiss Francs). In Manchester, an identical watch costs £145. Given that £1 = 1. 55 CHF
a) In which city is the watch cheaper?
b) By how much is it cheaper (in £)?

Answers

The watch is cheaper in Geneva. The watch is cheaper in Geneva by 20 pounds.

To answer this question, we will need to convert the price of the watch in Geneva to pounds and compare it to the price of the watch in Manchester.

First, let's convert the price of the watch in Geneva from CHF to pounds:

193.75 CHF ÷ 1.55 CHF/£ = 125 pounds

Now, we can compare the price of the watch in Geneva to the price of the watch in Manchester:

125 pounds (Geneva) < 145 pounds (Manchester)

Therefore, the watch is cheaper in Geneva.

To find out by how much it is cheaper, we can subtract the price of the watch in Geneva from the price of the watch in Manchester:

145 pounds - 125 pounds = 20 pounds

So, the watch is 20 pounds cheaper in Geneva.

In conclusion, the watch is cheaper in Geneva by 20 pounds.

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Other Questions
Akira, a new patient to the obstetric practice where you work, is waiting in the examination room for the Certified Nurse Midwife (CNM). Akira is 28, a G2P1, and at 7 weeks 3 days dating from her last menstrual period. Akira met her active duty husband while he was stationed in Japan 5 years ago, and her mother and brother came to the United States along with them after his deployment a few years ago. Akira and her husband have a 3-year-old son together who is still unaware that his mom is pregnant. As you wait for the midwife, you reflect on your conversation with Akira. She's told you that she has a great relationship with her mother and can't wait to share her joy at the delivery with her as she did with her son when she delivered in Japan. However, unlike Akira herself, who speaks English very well, her mother doesn't speak any English and is very traditional. She is expecting the same experiences and traditions to be followed in this delivery as they were with Akira's first, and Akira is having a hard time explaining the differences. Akira is worried that her mother will be upset at some of the Western traditions and asked you if her mother could accompany Akira on a few of her appointments to learn more about what she may see at the delivery. What is your best response to Akira?a. Of course, you can bring whoever you like. But we won't have time to explain the care to your mom; your appointments are too short. You can translate to her whatever is said to you as the midwife goes through your appointment.b. Don't you think it's more important for your husband to be here?c. Of course, you can bring whoever you like to your appointments. Can you tell me more about the traditions we should focus on addressing that are of the greatest concern for your mother? How much do you identify with those traditions?d. Of course your mother can attend your appointments. What cultural traditions should we talk about with your mom to insure she understands you're going to be perfectly fine and she should stop worrying you? What is protrusion of the meninges? Graph the function f(x)=(x+1)-3 100 POINTS!This must be graphed by hand. Computer generated graphs will not be accepted. You must have at least three points clearly marked on your graph and please show all work for brainliest!! how to convert 40 pounds in kg? Can someone tell me the domain and range for this function? personal computers became available when connie was in her 30s. she didn't have a mobile phone until she was almost 50. connie is considered a ______. a halal food bill was passed by seven states including? Butylbenzene cannot be synthesized in good yield directly from benzene using a freidel-crafts alkylation. Propse an alternate synthesis of butylbenzene that does not use a freidel-crafts reaction. A nurse is educating the spouse of a patient with cirrhosis about the patient's diet. Which nutritional recommendation for the patient will the nurse make?A. Eat large mealsB. Include a multivitaminC. Prepare high-sodium foodsD. Drink only small amounts of alcohol Which of these cells is a phagocytic leukocyte that can engulf a foreign bacterium?macrophage...Macrophages are phagocytic leukocytes. How many formula units are in 1.24 moles of Na2S? I need help please anything! criteria or standards used in evaluating proposed solution to the problem are known as ______. which river did lewis and clark use after leaving st louis? Jess is pot she is running out of space in the section for this item and she decides to put the tsol the mext shelf over where there is plenty of room. She notices that the cartons contain different product than the other boxes on the shelf where she places them. Over time, these cartons oupushed to the back behind the item that is supposed to be stocked in this location whats the answer to the question A child is being discharged home following a bone marrow transplant. When providing discharge instructions to the parents, what information is most important for the nurse to include?1. Clean toothbrush weekly with alcohol.2. Avoid eating raw fruits and vegetables.3. Drink bottled water the day.4. Apply heating pad to bruised areas of the skin. A change in how we fundamentally see a situation is called a a. niche market. b. paradigm shift. c. manager personality. d. gazelle 1.) How many grams of aluminum hydroxide can be produced from the synthesis reaction of 24.3 g of aluminum oxide and 82.1 g of water? Is 20/200 vision bad? congenital abnormalities are the leading cause of death in which age group?