The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves. In the case of numbers 12 and 20, their GCF and LCM multiply to give the same product as 12 multiplied by 20.
The relationship between the two numbers 12 and 20 and the product of their greatest common factor (GCF) and least common multiple (LCM) can be illustrated by a fundamental principle in number theory.
Firstly, we need to find the GCF and LCM of 12 and 20. The GCF of 12 and 20 is determined by listing the factors of both numbers and finding the largest common one. For 12, the factors are 1, 2, 3, 4, 6, 12 and for 20, they are 1, 2, 4, 5, 10, 20. The GCF here is 4. To find the LCM, we can use the formula:
LCM(a, b) = (a * b) / GCF(a, b)
Applying this formula, LCM(12, 20) = (12 * 20) / 4 which gives us 60.
Now, let's look into their relationship with the product of GCF and LCM, which is 4 * 60 = 240. Interestingly, the product of the original numbers, 12 * 20, also equals 240.
This leads us to the conclusion that for any two positive integers, the product of their GCF and LCM is equal to the product of the numbers themselves. This is summarized by the formula:
GCF(a, b) * LCM(a, b) = a * b
3. For you to have a positive self-concept, it is most important that (1 point)
you think positively about yourself.
your friends think positively about you.
your grandparents think positively about you.
your parents or guardians think positively about you.
2. A mentor is someone you trust and respect who can guide and teach you certain things. A mentor should also display good character. Lee is one of your possible mentors, and he exhibits all of the following traits. Which of Lee's traits would cause you to choose someone
else as a mentor?
(1 point)
appreciative of life
capable of loving others
realistic and accepting
unfair and prejudiced
Answer:
unfair and prejudiced
Explanation:
"A mentor should display good character" being unfair and prejudiced is NOT a good character
The trait of being unfair and prejudiced would cause you to choose someone else as a mentor.
Explanation:Out of the traits listed, the one that would cause you to choose someone else as a mentor is unfair and prejudiced. A good mentor should exhibit good character, and being unfair and prejudiced goes against that.
Learning to control anger is an important skill if you want to avoid _____.
What are the consequences of smoking while pregnant? Check all that apply.
Which one of the following are carbohydrates, proteins, and fats? Energy-giving Nutrients Non-Energy-giving Nutrients Protiens Calories Flag Question
You just saw a magazine ad that shows two people looking happy on a date. They are drinking alcohol. The words on the ad say "Feel the love." What technique has the advertising company used to persuade you to drink the alcohol?
You are alone at a park and see a older woman collapse onto the grass. Explain what steps you should take to help this woman and in what order you should take them. Be sure to include details of what you would do.
According to the climate map above, the __________ have a highland climate. A. Pyrenees B. Alps C. Norwegian fjords D. Ural Mountains
Which of the following is an effective guidance strategy to use with children who have a visual impairment?
A. Verbally label objects in the room. B. Be extremely protective so as to avoid injuries. C. Don't let the child move around on his or her own. D. Provide a separate table for meals.
Which of the following is an effective guidance strategy to use with children who have a visual impairment? A - Verbally label objects in the room.
Which one of the following are carbohydrates, proteins, and fats? Energy-giving Nutrients Non-Energy-giving Nutrients Protiens Calories Flag Question
The following carbohydrates, proteins, and fats are the energy-giving nutrients that are present in the first option, as the macromolecules are necessary for the production of the energy required by the body.
What is the importance of macromolecules in the diet?Proteins, fats, and carbohydrates are all important nutrients that the body needs to function properly, as the proteins are the building blocks of the body and are necessary for the structure, function, and regulation of the body, and all these macromolecules also play a role in the production of hormones, enzymes, and other molecules that are important for the body's overall health.
Hence, carbohydrates, proteins, and fats are the energy-giving nutrients that are present in the first option, as the macromolecules are necessary for the production of the energy required by the body.
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If you have a food that contains 8 grams of protein, 3 grams of carbohydrates, and 3 grams of fat, how many calories would be in that food?
Protein = 4 calories per grams
Fat = 9 calories per grams
Answer: 71 calories
What organelle is considered a " factory " , because it takes in raw materials and converts them to cell products that can be used by the cell ?
Describe how the following factors are related to holistic health. (Genetics, Availability of health care, Family Dynamics, Culture, Environment, Stress, Social Habits)
Some sexually transmitted disease can cause males to become sterile if untreated true or falss
what side effects heroin
Final answer:
Heroin use leads to euphoria followed by semi-conscious states and, over time, causes physical dependence and increased tolerance. Serious risks include infectious diseases from needle sharing, organ damage, and severe withdrawal symptoms. The activation of the ANS also elevates the risk of heart attack or stroke, and overdose can be fatal.
Explanation:
Heroin abuse can lead to a range of serious health issues and potentially lethal complications. Short-term effects include a surge of euphoria, followed by an alternation between wakeful and drowsy states known as "on the nod." Long-term use of heroin can cause physical dependence and tolerance, prompting increased doses for the same effect.
The use of heroin, particularly through intravenous injection, significantly increases the risk of contracting infectious diseases such as HIV/AIDS and hepatitis due to needle sharing. Injection can also lead to collapsed veins and infection of the heart lining and valves. Chronic use may result in liver or kidney disease, pulmonary complications, and abscesses. Adulterants in street heroin can cause organ damage by blocking blood vessels.
Opioids like heroin affect the autonomic nervous system (ANS), causing heightened blood pressure and heart rate, which can lead to heart attack stroke, and constipation. Withdrawal symptoms are severe and include restlessness, pain, gastrointestinal distress, and intense drug cravings, making the cessation of use challenging. These effects, along with the high risk of fatal overdose, underscore the critical dangers of heroin abuse.
Three Skills that can help you choose abstinence are setting clear limits, asserting yourself, and communicating your limits. What is a Fourth skill?
A . Avoiding high-pressure situations
B. Saying "Maybe next time"
C. Avoiding Dating
D. Saying "I Don't Find You Attractive"
how can you avoid overtraining ?
A. Exercise everyday
B.push yourself to achieve fitness goal quickly.
C. Always exercise whithin your comfort level
D. increase the intensity and length of your work out
What is a common site of cancer in older men that also secretes a fluid to protect sperm
Final answer:
The prostate gland is a common site of cancer in older men, known as prostate cancer. This gland secretes a fluid that protects sperm and contributes to fertility. Prostate cancer is a serious condition that requires early detection for effective treatment.
Explanation:
The common site of cancer in older men that also secretes a fluid to protect sperm is the prostate gland. Prostate cancer is the most common type of cancer in men, especially as they age, with risk factors increasing significantly for men over the age of 50. The prostate's main function is to secrete substances into semen, which includes zinc among others, and it plays a crucial role in male fertility.
While testicular cancer is more prevalent in males aged 15 to 35, prostate cancer primarily affects older individuals and is in fact the second leading cause of cancer death among men. Early detection of prostate cancer is vital as it can spread to other parts of the body, including bones and lymph nodes. Regular screening and being aware of symptoms such as difficulty urinating or pelvic discomfort can help in early diagnosis and treatment.
How long must a child be without symptoms before returning to care?
which areas of your body are the most flexible? Which areas of your body are the least flexible? Why do you believe this is?
Explanation:
The tongue is most flexible because it is the strongest muscle in the body. The least flexible is the bones because the bones are strong and hard which makes it hard to bend before it snaps
Answer: I was able to stretch the most in the sit-and-reach test. The lower part of my body seemed to be more flexible than my arms and chest. I enjoy skateboarding and BMX, so I’m not surprised that my legs showed better flexibility than my arms.
Explanation: EDMENTUM
Agility includes all of the following attributes EXCEPT:
A.
coordination
B.
balance
C.
visualization
D.
strength
Agility includes all of the following attributes EXCEPT visualization.
What do you mean by agility?Agility in sport is defined as ''a rapid whole-body movement with change of velocity or direction in response to a stimulus'' (Sheppard, 2005). Meaning agility must involve a reaction to a stimulus, for example, a goalkeeper reacting and saving a penalty kick in Football.
Agility is one of the performance-related component of physical fitness. It is defined as “a rapid whole-body movement with change of velocity or direction in response to a stimulus” by Shepperd and Young, 2005. Agility has both movement and reactive elements.
Agility is the ability to move and change the direction and position of the body quickly and effectively while under control. It requires quick reflexes, coordination, balance, speed, and correct response to the changing situation.
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NEED ANSWER FAST which of these is an organism?
A.bacteria
B.lung
C.virus
D.heart
n employee gets injured at work when he is stung by a bee, and follows the correct procedures for reporting a work injury to his employer. Soon after, his employer puts the employee on probation for violating a work rule requiring employees to "maintain situational awareness." What type of program is being misused by the employer in this scenario as a form of retaliation against the employee for reporting a workplace injury?
the employee was put on probation for using a unreasonable excuse to be let out from work, unless if the employee had an allergic reaction then he should've provided information that there was an allergic reaction.
How does the media (T.V., movies, magazines, etc.) portray the "perfect woman"?
Shauna leads a very inactive lifestyle, so she should eat more calories.
The statement that Shauna who leads a very inactive lifestyle, should eat more calories is false. In contrast, having inactive lifestyle means that she does not do any sport, is not active and does not burn calories. In her situation, she should eat less calories. If she east more calories, she will get obese because she doesn't burn the excess calories.
Which of these is most likely to contain research-based findings?
A. A website of a company selling vitamins
B . A University's website
C. A website of a fitness trainer
D. A website of a company selling fitness equipment
A University's website is most likely to contain research-based findings due to their regular involvement in rigorous, peer-reviewed academic research in contrast to commercial websites, whose content may be biased.
Explanation:Out of the options provided, B. A University's website is most likely to contain research-based findings. Universities conduct rigorous, peer-reviewed academic research that is often published on their websites. These institutions have dedicated departments and resources for research in various fields, making it likely that their websites contain validated, credible, and research-based information.
On the contrary, websites of companies selling vitamins or fitness equipment, or those of a fitness trainer, although they may have relevant and helpful information, they might not necessarily be based on research. Their content is often geared towards promoting their products or services and might be biased or lack unbiased, empirical evidence.
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One out of six teenage girls who engage in sexual activity risk ___.
A. Emotional Health
B. Marriage
C. Pregnancy
D. Death
One out of six teenage girls who engage in sexual activity risk pregnancy.
What are the symptoms of pregnancy?Pregnancy is the condition between conception (fertilization of an egg by a sperm) and birth, during which the fertilized egg develops in the uterus. In humans, pregnancy lasts about 288 days.
The most common early pregnancy symptoms are breast tenderness: Starts around weeks four to six. Nausea: Starts around weeks four to six. Fatigue: Starts around weeks four to six. Frequent urination: Starts around weeks four to six.
Mild stomach pain in early pregnancy (during the first 12 weeks) is usually caused by your womb expanding, the ligaments stretching as your bump grows, hormones constipation or trapped wind. It may sometimes feel like a 'stitch' or mild period pain.
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You come across a person at a park in your community who has fallen from a rock ledge. You go over and saw that he is unconscious. He has a wound on his leg that is bleeding profusely Describe three things you would do.
Find something clean to put between your hand and the injury, clean it with water, apply pressure with the clean something, and call 911 for professional help. I hope this helps!
Fruits and vegetables are good sources of (Select all that apply.)
A) Carbohydrates
B) Fats
C) Proteins
D) Fibers
Which of the following statements BEST describes circuit training?
A.
Circuit training sessions vary in length.
B.
Circuit training is a program that moves through a prescribed set of exercises.
C.
Circuit training is a program that alternates between intense exercise and rest periods.
D.
Circuit training sessions take place in different locations.
Circuit training is a timetable that moves through a set of exercises it is a program that moves through a prescribed set of exercises.
Is circuit training a strength training?Circuit training is a choice for many because it combines strength training and cardiorespiratory training.
Since there is short between exercises, your heart rate stays upgrad.
Thus, option "B" is correct, it is a program that moves through a prescribed set of exercises.
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