Answer:
The place value of 1 in 1,234,567,890 is <u>1</u><u>,</u><u>0</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u>.</u>
Answer:
Vertical angles are angles opposite of each other. hope it helps
Answer:
Multiplying a function by a constant expands the graph vertically by the magnitude of the constant. (If the constant is negative, the graph is also reflected about the x-axis.)
Step-by-step explanation:
Each value of a·ln(x) will be a factor of "a" farther away from the x-axis than it is for the parent function ln(x). That is, a·ln(x) is a vertically expanded version of the parent function ln(x). When |a| > 1, the expansion increases the distance from the x-axis.
1 yard = 3 feet
2/3 of a yard would be 2 feet
4.5 yards = 13.5 feet
13.5-2 = 11.5 feet
11.5 feet = 3.83 yards
therefore at least 11.5 feet or 3.83 yards must be purchased