Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)
what are all of the answers?
To find a whole number and rational number to the nearest half that is between the numbers, we need to determine the numbers that are on either side of √105 on the number line.
To do this, we can find the whole number and the closest whole number to the left and right of √105. Since √105 is between 10 (whose square is 100) and 11 (whose square is 121), we can determine that the closest whole numbers are 10 and 11.
To find the rational number nearest to the half, we can average 10 and 11:
(10 + 11) ÷ 2 = 21 ÷ 2 = 10.5
Therefore, the whole number nearest to √105 is 10, and the rational number to the nearest half is 10.5.
is 12√<π
To determine if √12 is less than π, we can compare the values of each number.
The square root of 12 is approximately 3.464. Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter, and its approximate value is 3.14159.
Comparing the values, we find that √12 is greater than π, since 3.464 > 3.14159.
Therefore, 12√π is not less than π.
Using rational approximations, what statement is true?(1 point)
Responses
12 −−−√<π
start root 12 end root less than pi
16 −−−√<4
start root 16 end root less than 4
12 −−−√ >π
start root 12 end root greater than pi
16−−√>4
To compare these expressions, we can evaluate the square roots and compare the values.
The square root of 12 is approximately 3.464. Pi (π) is approximately 3.14159.
Comparing the values, we find that √12 is greater than π, since 3.464 > 3.14159.
Therefore, the statement "√12 > π" is true.
Using rational approximations, what statement is true?(1 point)
Responses
81−−√>9
start root 81 end root greater than 9
71 −−−√<61−−√
start root 71 end root less than start root 61 end root
81−−√<9
start root 81 end root less than 9
71−−√>61−−√
To compare these expressions, we can evaluate the square roots and compare the values.
The square root of 81 is 9. The square root of 9 is also 9.
Comparing the values, we find that √81 is equal to 9, and √9 is also equal to 9.
Therefore, the statement "√81 = 9" is true.
Using rational approximations, what statement is true?(1 point)
Responses
49−−√<7
start root 49 end root less than 7
49−−√>7
start root 49 end root greater than 7
48−−√<36−−√
start root 48 end root less than start root 36 end root
48−−√>36−−
To compare these expressions, we can evaluate the square roots and compare the values.
The square root of 49 is 7. The square root of 7 is approximately 2.646.
Comparing the values, we find that √49 is equal to 7, and √7 is approximately 2.646.
Therefore, the statement "√49 = 7" is true.
A chemistry class is experimenting with iodine to see which common white powder items will react and make the iodine change color. Which item listed will have a chemical reaction with iodine?(1 point)
Responses
powdered sugar
powdered sugar
salt
salt
baking soda
baking soda
cornstarch
The item listed that will have a chemical reaction with iodine is powdered sugar.
When performing a scientific investigation on an unknown substance, how can an indicator help you determine if the substance is a starch?(1 point)
Responses
An indicator can help determine if a substance is a starch by reacting in a specific way when it comes into contact with starch. For example, iodine is often used as an indicator for starch. When iodine comes into contact with starch, it undergoes a chemical reaction that produces a characteristic color change, typically from yellow-brown to a dark blue or blackish color. By observing this color change, one can determine if the substance being investigated is a starch or not.
A student has an unknown powder and wants to determine what it is. Based on appearance, the student believes it is baking soda. When performing the vinegar test, what can the student expect to happen if it is baking soda?
If the unknown powder is indeed baking soda, when the student performs the vinegar test, they can expect to see a reaction between the baking soda and vinegar. The reaction will produce carbon dioxide gas, which will be visible as bubbles or fizzing. This is a characteristic reaction of baking soda and vinegar.
A student is performing a Benedict’s test on an unknown substance. The student adds the reagent (the chemical required to make a color change), and nothing happens. Which conclusion can the student make?
If the student performs a Benedict's test on an unknown substance and nothing happens (no color change or other observable reaction), the conclusion that the student can make is that the unknown substance does not contain reducing sugars. Benedict's test is used to detect the presence of reducing sugars, such as glucose or fructose, which can react with the Benedict's reagent to form a colored precipitate. If there is no reaction, it indicates that the unknown substance does not contain reducing sugars.
How did the last ice age affect human migration?
The last ice age, also known as the Last Glacial Maximum, had a significant impact on human migration patterns. During this period, which occurred around 26,000 to 19,000 years ago, a large portion of the Earth's surface was covered in ice and glaciers, causing a drop in sea levels.
As a result of the lower sea levels, land bridges appeared in various parts of the world. These land bridges, such as the Bering Land Bridge between Siberia and Alaska, provided pathways for humans and other species to migrate across continents. This allowed for the colonization of new areas and contributed to the peopling of different regions.
People adapted to the changing environmental conditions during the ice age. They likely followed herds of animals and moved to areas with milder climates or areas where they could find sufficient food resources. Some populations likely retreated to sheltered areas, such as caves or valleys, to survive the harsh conditions.
Overall, the last ice age had a significant impact on human migration as it created opportunities for populations to disperse and settle in new regions, contributing to the diversification of human populations around the world.
Which adaptations did early humans make during the last ice age in order to survive varied environments? Select the three correct answers.
During the last ice age, early humans made several adaptations to survive in varied environments. The three correct answers are:
1. Clothing: Early humans developed clothing made from animal hides and furs to protect themselves from the cold temperatures. This helped them retain body heat and survive in colder regions.
2. Shelter: Early humans sought shelter in caves, rock overhangs, and constructed temporary or semi-permanent shelters using available resources such as animal bones, branches, and leaves. These shelters provided protection from harsh weather conditions.
3. Tool-making: Early humans developed more advanced tools to improve hunting and gathering efficiency. They created stone tools, such as spears, knives, and scrapers, which aided in hunting, butchering animals, and processing plants for food. These tools increased their chances of survival and adaptation to different environments.
Other factors, such as social cooperation, fire use, and adaptation to diverse food resources, also played important roles in early human survival during the last ice age.
Apologies for the confusion. The possible adaptations that early humans made during the last ice age to survive varied environments are:
1. Clothing
2. Shelter
3. Tool-making
4. Social cooperation
5. Fire use
6. Adaptation to diverse food resources
These are the six possible answers.