Which choice completes the text with the most logical transition?
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The expression , where is a constant, can be rewritten as , where , , and are integer constants. Which of the following must be an integer?
| Phone | ||
|---|---|---|
| Dinner dance | 55% | 80% |
| Football game | 20% | 10% |
| Picnic | 20% | 5% |
| Pool party | 5% | 5% |
| Total | 100% | 100% |
An alumni association survey asked each high school graduate to select the one activity he or she preferred for the association’s next event. Some of the people responded by phone, and the others responded by email. The table above shows the distribution of preferred activity, in percent, for each response type used. For the survey, the number of email responses was twice the number of phone responses. If a person who preferred a picnic is selected at random, what is the probability that the person responded by email?
A circle in the xy-plane has its center at . Line is tangent to this circle at the point . What is the slope of line ?
Which choice completes the text with the most logical transition?
How many distinct real solutions does the given equation have?
Which of the following expressions is equivalent to , for
?
A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, V, in cubic inches, of such containers, where r is the radius, in inches?
The results of two random samples of votes for a proposition are shown above. The samples were selected from the same population, and the margins of error were calculated using the same method. Which of the following is the most appropriate reason that the margin of error for sample A is greater than the margin of error for sample B?
Which choice completes the text so that it conforms to the conventions of Standard English?
Which choice most logically completes the text?
Which choice most effectively uses data from the table to complete the statement?
Which choice most logically completes the text?
The expression can be rewritten as
, where k is a positive constant. What is the value of k ?
In the figure above, . If
and
, what is the length of
?
Which choice completes the text so that it conforms to the conventions of Standard English?
Which choice completes the text so that it conforms to the conventions of Standard English?
A certain product costs a company $65 to make. The product is sold by a salesperson who earns a commission that is equal to 20% of the sales price of the product. The profit the company makes for each unit is equal to the sales price minus the combined cost of making the product and the commission. If the sales price of the product is $100, which of the following equations gives the number of units, u, of the product the company sold to make a profit of $6,840 ?
How many distinct real solutions does the given equation have?
Which choice completes the text with the most logical and precise word or phrase?
The density of a certain type of wood is kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has a mass of kilograms. To the nearest hundredth of a meter, what is the length of one edge of this sample?
Which choice completes the text so that it conforms to the conventions of Standard English?
The solution to the given system of equations is . What is the value of ?
The function gives a metal ball's height above the ground , in inches, seconds after it started moving on a track, where . Which of the following is the best interpretation of the vertex of the graph of in the xy-plane?
If is the solution to the system of equations above, what is the value of
?