Olivia wants to know the proportion of students at her school who use a certain social media app. She interviews a random sample of students at her school. She finds that 30% of the students in the sample use the app.
What conclusion can she draw from the sample?
We can find the prime factors of 42 by dividing it by the smallest prime number, 2, and then dividing the result by the smallest prime number that goes into it, which is 3. We continue this process until we can no longer divide by any more prime numbers:
42 ÷ 2 = 21
21 ÷ 3 = 7
Since 7 is a prime number and cannot be divided any further, we have found the prime factors of 42: 2, 3, and 7.
Therefore, the prime factors of 42 are 2, 3, and 7.
Olivia can conclude that 30% of the students in her sample use the social media app. However, she cannot necessarily generalize this result to the entire population of students at her school, as her sample may not be representative of the entire population. She would need a larger, more randomized sample to make more accurate conclusions about the entire population.
A new washing machine uses 45% less water than an older model. A family used 1,440 gallons of water per month to run the old washing machine. About how much water will they use each month to run the new washing machine?
If the new washing machine uses 45% less water than the old model, then it uses 100% - 45% = 55% of the old amount of water.
To calculate the amount of water used by the new washing machine:
1. Convert the old amount of water to a percentage: 1,440 gallons / 100% = 14.4 gallons per 1%
2. Multiply this by the percentage of water used by the new machine: 14.4 gallons per 1% * 55% = 7.92 gallons per 1%
3. Convert back to the actual amount of water used by multiplying by the total percentage: 7.92 gallons per 1% * 100% = 792 gallons
Therefore, the family will use about 792 gallons of water per month to run the new washing machine.
What percent of 59 is 44.1? Round the answer to the nearest hundredth of a percent if necessary.
To find the percent, divide the second number (44.1) by the first number (59), then multiply by 100 to convert to a percentage:
percent = (44.1 / 59) x 100
percent = 74.576
Rounding this answer to the nearest hundredth of a percent gives:
percent ≈ 74.58%
Therefore, approximately 74.58% of 59 is 44.1.
Factor the expression using the greatest common factor.
24a3 + 32a? + 40a
The greatest common factor of the terms 24a³, 32a², and 40a is 8a. We can factor it out as follows:
24a³ + 32a² + 40a = 8a(3a² + 4a + 5)
Therefore, 24a³ + 32a² + 40a can be factored as 8a(3a² + 4a + 5) using the greatest common factor.
Convert 35 mL/s to liters per minute (L/min).
To convert from milliliters per second (mL/s) to liters per minute (L/min), we need to multiply by a conversion factor. There are 60 seconds in a minute and 1000 milliliters in a liter, so:
35 mL/s × (60 s/min) ÷ (1000 mL/L) = 2.1 L/min
Therefore, 35 mL/s is equivalent to 2.1 L/min.
What are the prime factors of 42?
The slope of the line passing through points (X, Y) and (X2, Y2) is found using the formula
X2-X,
The line passing through the points (1, 2) and (x, 5) is perpendicular to a line that has a slope of 1
What is the value of x?
The line passing through the points (1, 2) and (x, 5) has slope equal to:
(5 - 2) / (x - 1)
Simplifying:
3 / (x - 1)
Since the line perpendicular to this line has slope equal to -1, the product of the slopes of the two lines is -1:
-1 = (3 / (x - 1)) * (-1)
Multiplying both sides by (x - 1):
x - 1 = -3
Adding 1 to both sides:
x = -2
Therefore, the value of x that satisfies the conditions is x = -2.
What is the least common multiple of 15 and 25?
To find the least common multiple (LCM) of 15 and 25, we can use the prime factorization method.
First, find the prime factorization of each number:
15 = 3 x 5
25 = 5 x 5
Next, write out the factors of both numbers, including duplicates but not repeating any factors:
3, 5, 5
The LCM is the product of these factors, with each factor raised to the highest power it appears in either number's prime factorization:
LCM = 3 x 5 x 5 = 75
Therefore, the least common multiple of 15 and 25 is 75.
During the basketball season Monique scored goals on 30% of the shots she took. If she scored 42 goals, how many shots did she take?
Let's call the number of shots Monique took "x". We know that Monique scored on 30% of her shots, which we can write as:
0.3x
We also know that Monique scored 42 goals, so we can set up an equation:
0.3x = 42
To solve for x, we can divide both sides by 0.3:
x = 140
Therefore, Monique took 140 shots during the basketball season.
V33 is approximately equal to
V33 is the square root of 33. Using a calculator, we find that:
V33 ≈ 5.745
Therefore, V33 is approximately equal to 5.745.
What is the slope of the line passing through the points (-1, 4) and (-7, -9)?
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (-1, 4) and (-7, -9), we can substitute the values into the formula:
slope = (-9 - 4) / (-7 - (-1))
slope = (-9 - 4) / (-7 + 1)
slope = (-13) / (-6)
slope = 13/6
Therefore, the slope of the line passing through the points (-1, 4) and (-7, -9) is 13/6.
James wants to pour a patio that is 18 feet by 20 feet. He wants the concrete to be 6 inches deep. How many cubic feet of concrete mix are needed for the patio? [1 ft = 12 inches]
Responses
A 45 cubic feet45 cubic feet
B 90 cubic feet90 cubic feet
C 180 cubic feet180 cubic feet
D 240 cubic feet
To find the cubic feet of concrete mix needed for the patio, we need to calculate the volume of the patio in cubic feet.
The patio is 18 feet by 20 feet, so its area is:
18 feet x 20 feet = 360 square feet
Since James wants the concrete to be 6 inches deep, or 0.5 feet, the volume of the patio is:
360 square feet x 0.5 feet = 180 cubic feet
Therefore, James needs 180 cubic feet of concrete mix for the patio.
The answer is C) 180 cubic feet.
Which transitional word or phrase is used to make a time connection between two ideas?(1 point)
Responses
likewise
likewise
simultaneously
simultaneously
to demonstrate
to demonstrate
to illustrate
The transitional word or phrase used to make a time connection between two ideas is "simultaneously".
Which transitional word or phrase is used to make a time connection between two ideas?
The transitional word or phrase used to make a time connection between two ideas is "temporal". Other options could include "meanwhile", "afterward", "before", "later", "previously", "during", "until", "next", "then", "finally", and so on.
explain the life of goku
Goku is a fictional character and the main protagonist in the Dragon Ball manga and anime series. He is the last surviving member of his race, called the Saiyans, who were nearly wiped out by a powerful alien race. Goku was sent as a baby to Earth, where he was found and raised by a kind-hearted man named Grandpa Gohan.
Goku grew up with superhuman strength and abilities, which he used to protect the Earth from dangerous threats. He met many friends and allies along the way, including the powerful warrior Piccolo, the inventor Bulma, and the skilled martial artist Krillin.
As Goku became stronger and faced increasingly powerful enemies, he learned new techniques and transformed into more powerful forms, such as the Super Saiyan. He fought against many villains, including the evil Frieza, the androids of Dr. Gero, and the magical creature Buu.
Goku always tried to protect his friends and family, even risking his own life to save others. Despite his immense power, he was pure-hearted and humble, and always tried to find a peaceful solution to conflicts when possible. He trained and improved his skills constantly, always striving to become even stronger and better.
Throughout the series, Goku faced many challenges, both in battle and in his personal life, but always emerged victorious. He eventually settled down with his wife Chi-Chi and had two sons, Gohan and Goten, both of whom inherited his superhuman abilities.
The life of Goku is filled with adventures, battles, and moments of heroism, but also touches on themes of friendship, family, and the importance of never giving up.
explain the life of son goku as if you are a narator
The life of Son Goku was filled with adventure, excitement, and incredible power. Goku was a Saiyan, a member of a nearly extinct alien race, who was sent to Earth as a baby. There, he was found and raised by a wise and kindhearted man named Grandpa Gohan.
As Goku grew up, he discovered that he had incredible strength and otherworldly abilities. By the time he was a young man, he had already become one of the strongest beings on Earth, and he spent his days training to become even stronger.
Throughout his life, Goku faced numerous challenges and battles against powerful villains. He fought against the likes of Frieza, Cell, and other dangerous foes, and time and time again, he emerged victorious.
But Goku was not just a warrior; he was also a loyal friend and devoted husband and father. He formed deep bonds with many people, including his best friend Krillin, the inventor Bulma, and his wife Chi-Chi. Later in life, Goku and Chi-Chi had two sons, Gohan and Goten, who would become powerful warriors in their own right.
Despite his incredible abilities and the many challenges he faced, Goku remained humble and pure of heart. He always looked for peaceful solutions to conflicts and put others before himself, risking his own life to protect those he cared about.
In the end, Goku's legacy was one of strength, courage, and selflessness. He inspired those around him to be their best selves and will always be remembered as a true hero.
narrate the hole life of son goku
The life of Son Goku was a tale of adventure, heroism, and growth. Goku was born into a rare, warrior alien race called the Saiyans, who were nearly wiped out by an evil emperor named Frieza. As a baby, Goku was sent to Earth, where he was found and raised by an old hermit named Grandpa Gohan who found him in the woods.
Growing up on Earth, Goku discovered he had extraordinary strength and martial arts skills, which he used to defend the planet from dangerous threats, many of which came from space. Along the way, he made many friends and allies, including the brilliant inventor Bulma, who helped him in his quest to obtain the seven mystical Dragon Balls.
As Goku matured, he battled increasingly powerful foes, including his Saiyan brother Raditz, the androids created by Dr. Gero, and the evil warlock Babidi. Along the way, Goku learned new techniques and transformed into new and more powerful forms, including the legendary Super Saiyan level.
Despite his immense power and his numerous victories against evil, Goku remained kind and humble. He cherished his family and friendships dearly, especially his wife Chi-Chi, who he married and had two sons named Gohan and Goten.
Goku's life was not without tragedy, however. He tragically lost his brother Raditz, his best friend Krillin, and other allies who fell in battles, leaving him to fight all alone.
However, even in the darkest moments, Goku's will to fight never faltered, and he always succeeded in emerging victorious in the end. He even formed an uneasy alliance with former villains, such as Vegeta, who would later become his close friend and ally.
In the end, Goku's life was a testament to the power of perseverance and hard work, becoming one of the strongest beings in the universe through his unrelenting pursuit of strength and his commitment to his values of kindness, humility, and determination.---------------------------------------------------------------------------------------------------------------
Note: This is a long and detailed answer, and there may be many more events and details in Goku's life than what has been covered here.