Answer:
side of the cubic box is 6 cm
Step-by-step explanation:
The volume of a box for earrings is 216 cubic centimeters.
Volume of a cubic box is [tex](side)^3[/tex]
[tex]Volume = a^3[/tex], where 'a' is the side of the cubic box
[tex]216 = a^3[/tex]
Take cube root on both sides
[tex]\sqrt[3]{216} =\sqrt[3]{a^3}[/tex]
Cube and cube root will get cancelled
So 6=a
The side of the cubic box is 6 cm
...anybody know this one
Compare the expressions using <, >, or =. Show all your work. (18 – 3) ÷ (6 - 1) _____ 4 • (10 – 3) – 4 • 2
Following the order of operations, (18 – 3) ÷ (6 - 1) simplifies to 3 and 4 • (10 – 3) – 4 • 2 simplifies to 20. Therefore, comparing these two statements using the symbols '>', '<', or '=', we infer that 3 < 20.
Explanation:To solve this problem, we need to follow the order of operations (also commonly known as BODMAS or PEDMAS), which stands for Brackets, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Let's first simplify the expressions on both sides of the comparison:
(18 – 3) ÷ (6 - 1) simplifies to 15 ÷ 5 = 3 4 • (10 – 3) – 4 • 2 simplifies to 4 • 7 - 8 = 28 - 8 = 20.
Now, we can compare these two numbers. Since 3 is less than 20, we use the symbol '<' to compare these two numbers. Therefore, (18 – 3) ÷ (6 - 1) < 4 • (10 – 3) – 4 • 2.
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Use the digits 3,7,1 and 5 to write a number that rounds to 1,700
1 and 5/12 as a decimal 1.416667? Do I add the repeating sign to the 6 or the whole decimal?
Error Analysis The length of an object is exactly 20 cm. A student says that a
measurement of 19 cm represents a percent error of 95%, while a measurement of
21 cm represents a percent error of 105%. Explain what the student did wrong.
What are the correct percent errors?
Since 1970, the # (in thousands) of males M and females F attending institutes of higher education can be modeled by: M=0.091t^3-4.8t^2+110+5,000 and F=0.19t^3-12t^2=350t+3,600 where t is the number of yrs since 1970. Write a model for the total # of people attending institutes of higher education.
The total number of people attending higher education institutions is modeled by T = 0.281t^3 - 16.8t^2 + 460t + 8,600, representing the sum of the models for males and females attending colleges.
Explanation:To answer the student's query regarding the total number of people attending institutes of higher education, we need to create a model that includes both the number of males and females attending as described by their respective equations. The model for the number of males attending college is given by M = 0.091t^3 - 4.8t^2 + 110t + 5,000, and the model for the number of females is F = 0.19t^3 - 12t^2 + 350t + 3,600. To find the total number of students, T, we simply add the two models together: T = M + F.
Therefore, the model for the total number of people attending institutes of higher education is:
T = (0.091t^3 - 4.8t^2 + 110t + 5,000) + (0.19t^3 - 12t^2 + 350t + 3,600)
Combining like terms, we get:
T = (0.091t^3 + 0.19t^3) - (4.8t^2 + 12t^2) + (110t + 350t) + (5,000 + 3,600)
Which simplifies to:
T = 0.281t^3 - 16.8t^2 + 460t + 8,600
This equation represents the total number of students, in thousands, attending institutes of higher education t years since 1970.
Estimate: 25.73 – 2.19
Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work
The diameter of the average cell in the human body is 1 x 10-5 meters
Since we are given that:
1 meter = 1 x 10^9 nanometers
We can use the conversion factor:
1 x 10^9 nanometers / 1 meter
Therefore:
diameter = 1 x 10^-5 meters * (1 x 10^9 nanometers / 1 meter)
diameter = 10,000 nanometers
FIND THE VALUE OF EACH EXPRESSION IN LOWEST TERMS
The value of each expression in the lowest term is [tex]3\frac{19}{20}[/tex] .
In mathematics, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
Expressions might be simple or complex, based on the number of components and operations involved. To perform calculations, represent relationships, describe patterns, and communicate mathematical ideas, expressions are generally used.
Given that
[tex]2\frac{1}{5}[/tex] + [tex]1\frac{3}{4}[/tex] = [tex]\frac{11}{5}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{44+35}{20}[/tex]
= [tex]\frac{79}{20}[/tex]
= [tex]3\frac{19}{20}[/tex] .
Hence, on solving the given expression, the answer is [tex]3\frac{19}{20}[/tex] .
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Which statements about quadrilaterals are true? Choose all answers that are correct. A. A square is always also a parallelogram. B. A parallelogram is always also a rectangle. C. A rhombus is always also a trapezoid. D. A rectangle is always also a parallelogram.
How to convert 8.5 hours to hours and minutes
Final answer:
To convert 8.5 hours to hours and minutes, we use the conversion factor that there are 60 minutes in an hour. Multiplying 0.5 hours by 60 minutes gives us 30 minutes, so 8.5 hours is equivalent to 8 hours and 30 minutes.
Explanation:
To convert 8.5 hours to hours and minutes, we need to understand that there are 60 minutes in one hour. The integer part of 8.5 hours is 8 hours. The decimal part (0.5) represents the fraction of an hour. To find out how many minutes are in 0.5 hours, we multiply by the number of minutes in one hour (60 minutes).
0.5 hour × 60 minutes/hour = 30 minutes.
Therefore, 8.5 hours is equivalent to 8 hours and 30 minutes. This process of conversion makes use of the conversion factors such as 24 hours per day, 60 minutes per hour, and 60 seconds per minute.
For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?
Answer:
-52x+4
Step-by-step explanation:
I took the test .
How does scientific notation make it easier to perform computations with very large or very small numbers
Solve the absolute value equation. Graph the solution. 2|3x-5|-8=8
Answer:
x = -1 or x = 4[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 * | 3x - 5 | - 8 = 8. Add 8 to both sides.
2 * | 3x - 5 | - 8 + 8 = 8 + 8
2 * | 3x - 5 | = 16 Divide both sides by 2.
[tex]\frac{2 * | 3x - 5 | }{2}[/tex] = [tex]\frac{16}{2}[/tex]
| 3x - 5 | = 8 Write two equations.
3x - 5 = 8 | 3x - 5 = -8 Solve both equations.
3x - 5 + 5 = 8 + 5 | 3x - 5 + 5 = -8 + 5
3x = 13 | 3x = -3 Simplify.
x = 4[tex]\frac{1}{3}[/tex] | x = -1
In 1 year, how many more hours of sleep does a giant armadillo get than a platypus?
If the given variables are 127 hours of sleep per week for a Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine which animal gets the most sleep, first multiply the total hours of sleep of each animal per week to the total number of weeks In a year, which is 52. Once you get the answers, which are 6,604 hours of sleep in a year for the Giant Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604 and 5,096 together to get the answer, which is 1,508. Therefore we conclude that that the Giant Armadillo has 1,508 hours more hours of sleep than a Platypus in a Year.
HELP ASAP! please need answer fast
Can someone explain a justification of each step? I was absent for a while so I'm behind. Thank you.
Wot it's the missing number x9=6x3
In the number 12.057,which digit has the greater value,the 5 or 7?explain
What is 6 to the second power simplified
Which unit of measurement would be most appropriate to measure the distance between Atlanta, GA and Nashville, TN? A) centimeters B) inches C) kilometers D) yards
Answer is of course C
Any nonzero integer divided by 0 equals 0. True or false? Justify your answer.
Any nonzero integer divided by 0 equals 0 is a false statement.The correct statement is 0 divided by any integer is 0.
What is an integer ?An integer is a number which has no fractional part means the digits after the decimal part are all 0.
According to the given question Any nonzero integer divided by 0 equals 0 it is false statement.
0 divided by any non zero integer is is 0.
Suppose we have 0 no. of chocolates and we have to give those chocolates to 10 people.How many chocolates will each person have ? 0 isn't it because we have 0 chocolates means we don't have any chocolates.
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Last month, Lana sold 35 necklaces a week at $15 each. However, throughout the month, 6 customers returned their necklaces for a full refund due to defective clasps. How much did Lana make selling necklaces last month? (Hint: Assume there were 4 weeks in the last month.)
To calculate the amount Lana made selling necklaces last month, multiply the number of necklaces sold per week by the price of each necklace. Subtract the number of returned necklaces and multiply the adjusted number by the price to find the total amount.
Explanation:To calculate the amount Lana made selling necklaces last month, we need to multiply the number of necklaces sold per week by the price of each necklace. Lana sold 35 necklaces per week, so for 4 weeks, she sold a total of 35 x 4 = 140 necklaces. However, 6 customers returned their necklaces, so we subtract that from the total: 140 - 6 = 134 necklaces were actually sold. Each necklace was sold for $15, so the total amount Lana made can be found by multiplying the number of necklaces by the price: 134 x $15 = $2010.
What is 0.0000855 in scientific notation
Answer:
8.55 x 10^-5
Step-by-step explanation:
we need to write 0.0000855 in scientific notation
To get the number in scientific notation, we need to move the decimal point after the first number
To get the decimal number after the first number we move the decimal point 5 places to the right
0.0000855 becomes 00008.55
We moved 5 places to the right, so we multiply by 10^-5
[tex]8.55 \cdot 10^{-5}[/tex]
Twice a number (x) is less then 10
2⋅(3^6*3^−5)
1. 2/3
2. 3
3. 6
4. 18
A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hold? Express your answer as a mixed number in the simplest form.
Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of iced tea she can serve?
Answer:
x = 44 - y
Step-by-step explanation:
Fiona is serving iced tea and lemonade at a picnic.
Let x be the number of glasses of iced tea and y be the number of glasses of lemonade.
So the equation represented the total number of glasses of iced tea and lemonade = x + y
Since Fiona has total number of glasses = 44
Therefore, x + y = 44
By solving, x = 44 - y
Equation which represents the number of glasses of iced tea will be x = 44 - y
905,154 round to the nearest ten thousand
How many people must attend the third show so that the average attendance per show is 3000 write an equation too
The third show must be attended by 3500 people.
To find the number of people that must attend the third show so that the average attendance per show is 3000, we can use the concept of averages.
The average attendance per show is the sum of the attendances divided by the number of shows.
In this case, we have attended 1 show by 2580 people, 2 shows by 2920 people, and the attendance for the third show is x people. So, the equation to represent the average attendance per show of 3000 is:
(2580 + 2920 + x) / 3 = 3000
To solve this equation, we can multiply both sides by 3 to eliminate the denominator and get:
2580 + 2920 + x = 9000
Then, we combine like terms:
5500 + x = 9000
Finally, we subtract 5500 from both sides to isolate x:
x = 3500
Therefore, for the average attendance per show to be 3000, the third show must be attended by 3500 people.
The probable question may be:
How many people must attend the third show so that the average attendance per show is 3000 write an equation too
1 show is attend by 2580 people,
2 show is attend by 2920 people,
3 show is attend by x people.
correct answer is x=3500