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Which number is missing in the table of values?

648

108

216

324

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Which of the following accurately lists all of the discontinuities for the graphed function?

jump discontinuity at x is equal to 0 ; point discontinuities at x is equal to negative 2 and x is equal to 8

jump discontinuity at x is equal to 0 ; point discontinuities at x is equal to negative 2 , x is equal to 3 , and x is equal to 8

jump discontinuities at x is equal to 0 and x is equal to 8 ; point discontinuity at x is equal to negative 2

jump discontinuity at x is equal to 0 ; point discontinuity at x is equal to 8

What is the domain of the function?

x is less than 0

all real numbers

x is greater than 0

x is less than 1

Which insect population is growing at a faster rate?

The ant colony is growing at a faster rate. It will multiply by 3 point 8 each week while the bee hive will add 3 point 8 each week.

The bee hive is growing at a faster rate. It will add 3 point 8 each week while the ant colony will divide by 3 point 8 each week.

The ant colony is growing at a faster rate. It will add 3 point 8 each week while the bee hive will subtract 3 point 8 each week.

The bee hive is growing at a faster rate. It will multiply by 3 point 8 each week while the ant colony will add 3 point 8 each week.

For the graphs, for which probability distribution is the value of the median greater than the value of the mean?

Negatively skewed

Normal, symmetrical distribution

Positively skewed distribution

None of the above

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question. z Probability 0 point 0 0 0 point 5 0 0 0 0 point 5 0 0 point 6 9 1 5 1 point 0 0 0 point 8 4 1 3 2 point 0 0 0 point 9 7 7 2 3 point 0 0 0 point 9 9 8 7

0 point 2 6 percent

2 point 3 percent

0 point 1 3 percent

4 point 6 percent

Which graph represents y is equal to square root of x ?

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. A U-shaped curve opens upward. The curve reaches its lowest point at approximately (0 comma 0) and passes near (negative 2 comma 4) and (2 comma 4). Arrowheads indicate the graph continues upward beyond the displayed grid.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. A curve begins at the origin and extends to the right. The curve passes near (3 comma 2) and (8 comma 3). Arrowheads indicate the graph continues beyond the displayed grid.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. An S-shaped curve rises from left to right. The curve passes through approximately (negative 1 comma negative 5), (negative 1 comma negative 2), (0 comma 0), and (1 comma 2). It continues beyond the displayed grid at both ends.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. An S-shaped curve rises from left to right. The curve passes through approximately (negative 8 comma negative 2), (0 comma negative 1), (1 comma 0), and (8 comma 2). It continues beyond the displayed grid at both ends.

Which of the following is the inverse of y is equal to 12 to the x th power ?

y is equal to the log base 1 over 12 of x

y is equal to the log base x of 12

y is equal to the log base 12 of x

y is equal to log sub 12 1 over x

Which expression is equivalent to open paren 4 7th power of h k squared close paren to the 4th power ?

16 11th power of h k to the 6th power

256 11th power of h k to the 6th power

16 28th power of h k to the 8th power

256 28th power of h k to the 8th power

What is the simplified form of the following expression? cube root of 4 x over 5

the fraction with numerator cube root of 20 x and denominator 5

the fraction with numerator cube root of 100 x and denominator 5

the fraction with numerator cube root of 100 x and denominator 125

the fraction with numerator cube root of 4 x and denominator 5

Which graph represents y is equal to cube root of x plus 6 minus 3 ?

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled from negative 8 to 8 in increments of 2. An increasing S-shaped curve is shown. The curve passes through approximately (negative 8 comma 4), (2 comma 5), (3 comma 6), and (8 comma 8). The central bend of the curve is located near (3 comma 6).

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma negative 4), (0 comma negative 1), and (8 comma negative 0 point 5). The curve has a point of inflection at (negative 6 comma negative 3).

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled from negative 8 to 8 in increments of 2. An increasing S-shaped curve is shown. The curve passes through approximately (negative 8 comma 4), (negative 3 comma 6), (negative 1 comma 7), and (8 comma 8). The central bend of the curve is located near (negative 3 comma 6).

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic fucntion passes through points (negative 5 comma negative 5), (0 comma negative 5), and (5 comma negative 4). The curve has a point of inflection at (6 comma negative 3) and passes through (9 comma negative 1 point 5).

Which graph represents the following piecewise defined function? f of x equals enlarged left-brace first row negative 2 x comma x less than negative 1. Second row negative 1 comma negative 1 less than or equal to x less than 2. Third row x minus 1 comma x greater than or equal to 2.

Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has an open circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 2) and a closed circle at (1 comma negative 2).

Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and a closed circle at (2 comma negative 1).

Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).

Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has a filled-in circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).

What is the following sum? 2 times open paren cube root of 16 x cubed y close paren plus 4 times open paren cube root of 54 x to the 6th power y to the 5th power close paren

16 x cubed y open paren cube root of 2 y squared close paren

48 x cubed y open paren cube root of 2 y close paren

8 x open paren cube root of x y close paren plus 12 x cubed y squared open paren cube root of 6 y close paren

4 x open paren cube root of 2 y close paren plus 12 x squared y open paren cube root of 2 y squared close paren

Which expression is equivalent to negative 6 times x cubed times x times y squared times y to the 6th power ?

negative 6 x to the 4th power y to the 12th power

negative 6 x to the 4th power y to the 8th power

negative 6 x squared y to the 12th power

negative 6 x cubed y to the 8th power

Which step is included in the graph of the function f of x is equal to lceil x minus 1 rceil ?

y is equal to negative 2 for negative 2 is less than or equal to x comma x is less than negative 1

y is equal to negative 5 for negative 4 is less than or equal to x comma x is less than negative 3

y is equal to negative 2 for negative 2 is less than x comma x is less than or equal to negative 1

y is equal to negative 5 for negative 4 is less than x comma x is less than or equal to negative 3

Many delivery trucks feature a "How Am I Driving?” sticker on the rear bumper, along with a phone number. This sticker allows drivers to report erratic driving by the truck driver or offer a compliment if they like. A dispatcher at the trucking station accepts calls and records information from those who call the phone number. The dispatcher reports that in the past month, 218 calls were received. Of those calls, 178 reported negative driving behaviors by the truck drivers. How might this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers?

This sample may lead to nonresponse bias because many drivers may not call the phone number.

This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.

This sample may lead to undercoverage bias because some drivers will be more likely to be included in the sample.

The sample may lead to response bias because some who call the phone number may not provide a truthful opinion.

What is the value of the log base 0 point 5 of 16 ?

2 point 4 1

negative 0 point 2 5

1 point 5 1

negative 4 point 0 0

A supervisor finds the mean number of miles that the employees in a department live from work. He finds line segment x is equal to 29 and s is equal to 3 point 6 Which mileage is within a z -score of negative 1 point 5 ?

21 miles

24 miles

41 miles

36 miles

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

an experiment.

a sample survey.

a census.

an observational study.

What are the domain and range of f of x is equal to 2 times open paren 3 to the x th power close paren ?

domain: open paren negative infinity comma infinity close paren ; range: open paren 2 comma infinity close paren

domain: open paren 2 comma infinity close paren ; range: open paren negative infinity comma infinity close paren

domain: open paren 0 comma infinity close paren ; range: open paren negative infinity comma infinity close paren

domain: open paren negative infinity comma infinity close paren ; range: open paren 0 comma infinity close paren

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