Answer:
Option (C)
Step-by-step explanation:
The value of y exceeds the multiplication of x by 2.
The equation that describes this condition is:
y = 2x + 1
Thus, by inserting x values into this equation, we can produce a table reflecting the corresponding input and output values:
x 0 1 2 3 4
y 1 3 5 7 9
Consequently, the table provided in Option (C) is indeed the correct choice.
The answer is C since 24-3=21, followed by 21/1.50=14
Answer:
3) A line has one dimension, length. (True)
5) A plane is made up of an infinite collection of lines. (True)
Explanation:
Geometry has three undefined terms:
a) point
b) line
c) plane
Examining the given statements:
1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.
2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.
3) A line has exactly one dimension, which is its length. (True)
4) A point consists of countless lines — this is false; actually, a line consists of infinite points.
5) A plane consists of an unending set of lines. (True)
Answer:
Given that the frog jumps every 10 seconds
(using digits from a random number table)
- It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
- Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
- Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
Step-by-step explanation:
A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.
Every 10 seconds, the frog jumps left or right.
If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.
If it jumps as LLRLL, it will jump off the board after fifty seconds.
Given that the frog jumps every 10 seconds
(using digits from a random number table)
- It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
- Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
- Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
Answer:
Width of the rectangular prism
To determine the volume of the rectangular prism, we utilize the following formula:
v = lwh
Where:
v = volume
l = length
w = width
h = height
Now,
The variables provided in the problem include:
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
By substituting these values into the volume formula, we have:
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ Therefore, the width of the rectangular prism measures 4.5 inches.
