Which of the following is the best approximation of 6 times the positive square root of 42?
60.3
44.7
30.0
38.9
Correct Answer : D
In this case, we use a calculator to estimate the positive square root of 42.
Then, multiplying the square root above with 6 becomes
Then, the approximate value of 6 time the positive square root of 42 is 38.9.
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Related Questions
Correct Answer is A
Explanation
9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.
Thus, 9/20 is equal to 0.45.
Correct Answer is B
Explanation
The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.
-6, -4, 1, 8, 12
There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.
Correct Answer is D
Explanation
To simplify this expression, we follow the order of operations as follows:
First, we start with the numerator and solve it as follows
[2(6+3*9)]
We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes
[2(6+27)]
Then, we carry out the addition of 6+27=33. Then, the expression yields
[2(33)]=2*33=66
Now, we solve for denominator, which is 6/2=3.
Thus, the expression is reduced into
The expression reduces into 22.
Correct Answer is D
Explanation
A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.
Correct Answer is B
Explanation
we are to use the pie chart to find the number of students enrolled in dental hygiene care.
Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,
We solve the value of x by cross-products.
Therefore, 144 students will enroll for a dental hygiene program.
Correct Answer is A
Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
Correct Answer is D
Explanation
The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,
The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.
Correct Answer is A
Explanation
Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.
Correct Answer is C
Explanation
We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.
Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.
Correct Answer is A
Explanation
The number of boxes to fit the room is found as volume of the room divided by the volume of the box.
Number of boxes:
\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)
The approximate number of boxes that can be stored in the room is approximately 111 square feet.
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