Maths-
General
Easy
Question
Which of the following is equivalent to
?
The correct answer is: ![3 square root of 3](data:image/png;base64,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)
Solution:-
- We have to find the equivalent of A =
![9 to the power of 3 over 4 end exponent](data:image/png;base64,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)
- For simplifying it we will write 9 as 32.
![A equals open parentheses 3 squared close parentheses to the power of 3 over 4 end exponent](data:image/png;base64,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)
- We know that (am)n = amn,
Therefore, ![straight A equals left parenthesis 3 right parenthesis to the power of 2 over 2 end exponent](data:image/png;base64,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)
- For simplifying it we will split the exponent as
![3 over 2 equals 1 half cross times 3](data:image/png;base64,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)
A = {(3)1/2}3
- We know that
,therefore,
A= ![left parenthesis square root of 3 right parenthesis cubed](data:image/png;base64,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)
A = (
).(
).(
)
- We know that
![left parenthesis square root of a cross times square root of a right parenthesis equals a](data:image/png;base64,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)
A= ![3 square root of 3](data:image/png;base64,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)
- Therefore, option (D)
is correct.
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Maths-General
Maths-
![](data:image/png;base64,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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)
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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)
Maths-General
Maths-
![8 x minus 2 x left parenthesis c plus 1 right parenthesis equals x](data:image/png;base64,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)
In the equation above, c is a constant. If the equation has infinitely many solutions, what is the value of c ?
Note:
As the equation is true for all values of x, we could have put x equal to any other number instead of 1, and we would get the same result. If we put x=1 in the first step as well, we would get the same value for x
![8 x minus 2 x left parenthesis c plus 1 right parenthesis equals x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIUAAAAQCAYAAAA4cbzMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAnlJREFUeNrtWUFEREEYfpIkiSRJEknSIZEOWUkkyR4SHdIpkSTp0LVTIkmH1S2dkkhWksRKkiSSdEiXTkmHbumwVtQ3fOlZ896b19vZmbQ/H/vsvPHN/t/M98+/jvN/YxpYtpDXMrkVIs/RBlxazO+CHI1HGZAA3oE0cAzUGeYUA/aANyAD3AJjOfrR2w2uqxlY4Hpk0QGc2yCKTWAJKAZKeIxdGeZ0BowC5XxuZUJHI8zZzjlMxhYwCXz6jDmnOIxGOuu5iLvTtmgA7iK8vwLM5JjTp4b3Zm2oed5dO/JbFE+ScRMeZBf5nQkBh+ElbLHbY95yiuaZGyIJVBoSRRdwouG3C5W/BNXpJrXqMfENUON6HgfW8ySILp/jX4XXG+1RJogbWmgFx8wDcUOiKCFXr/eC4BfK+Wvj7sjQy198dtQAsMbPfZoULYtS1jmxCLw+fK6CCYvsw9Fo30r5Ez69DdS6dpEoch59rkYpoIcVdJXC4qMo2+Exvg/0B4wL4iUThbDKV0WryNV6TIpCKX9Jj+T3Aqcek86RdD7u040URJPC2CBeMvvojHgF/Gv2oZS/dMii7rt/sBbxeqgSLcAG+yiqfQ0/XimJ/QxyY9gkCl2FpnL+7j12YStri+xde8AkieLsWsE+fhuiGNpl70TlNFHhJbuSCqt8sEwUM+Sq49RVyt8whdFLfy3iZ1FTTLnGVQNHWZPE2YzREYc8KYIiDC+v5tWt89O8q+DxGjMoCh3Nq9D5G+FVJUPLEDeQoSyPE0esrPW9w4o216Himb/hdSnx0nqu+YPNMZ09l6AaQEeb20T+/lQU/hArhDSmHDv/Ohd1xKRJAl9fw9A0XIhfnAAAAL50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+ODwvbW4+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjxtaT54PC9taT48bW8+KDwvbW8+PG1pPmM8L21pPjxtbz4rPC9tbz48bW4+MTwvbW4+PG1vPik8L21vPjxtbz49PC9tbz48bWk+eDwvbWk+PC9tYXRoPlJfBe4AAAAASUVORK5CYII=)
In the equation above, c is a constant. If the equation has infinitely many solutions, what is the value of c ?
Maths-General
Note:
As the equation is true for all values of x, we could have put x equal to any other number instead of 1, and we would get the same result. If we put x=1 in the first step as well, we would get the same value for x
Maths-
![](data:image/png;base64,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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
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)
The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree?
![](data:image/png;base64,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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
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)
The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree?
Maths-General
Maths-
![](data:image/png;base64,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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?
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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?
Maths-General
Maths-
y=x2 - a
In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?
y=x2 - a
In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?
Maths-General
Maths-
The density d of an object is found by dividing the mass m of the object by its volume V. Which of the following equations gives the mass m in terms of d and V ?
The density d of an object is found by dividing the mass m of the object by its volume V. Which of the following equations gives the mass m in terms of d and V ?
Maths-General
Maths-
In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.)
In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.)
Maths-General
Maths-
Which of the following is an equivalent form of ![left parenthesis 1.5 x minus 2.4 right parenthesis to the power of 2 end exponent minus open parentheses 5.2 x to the power of 2 end exponent minus 6.4 close parentheses ?](data:image/png;base64,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)
Which of the following is an equivalent form of ![left parenthesis 1.5 x minus 2.4 right parenthesis to the power of 2 end exponent minus open parentheses 5.2 x to the power of 2 end exponent minus 6.4 close parentheses ?](data:image/png;base64,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)
Maths-General
Maths-
The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?
The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?
Maths-General
Maths-
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
Maths-General
Maths-
The weight of an object on Venus is approximately
of its weight on Earth. The weight of an object on Jupiter is approximately
of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
The weight of an object on Venus is approximately
of its weight on Earth. The weight of an object on Jupiter is approximately
of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
Maths-General
Maths-
If 3(c + d) = 5 , what is the value of c + d ?
If 3(c + d) = 5 , what is the value of c + d ?
Maths-General
Maths-
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)
Maths-General
Maths-
Some values of the linear function f are shown in the table above. Which of the following defines f ?
Some values of the linear function f are shown in the table above. Which of the following defines f ?
Maths-General