Answer:
x = -3/2, 1/2
Step-by-step explanation:
(2x + 3)(2x - 1) = 0
2x + 3 = 0, 2x = -3, x = -3/2
2x - 1 = 0, 2x = 1, x = 1/2
The salestax on an item that is 25.60 dollars is 1.325 dollars.
A fraction is written in the form of p/q, where q ≠ 0.
There are two types of fractions one is a proper fraction and another one is an improper fraction.
In proper fractions, the numerator is smaller than the denominator and in improper fractions, the numerator is greater than the denominator.
Given, sales tax for a certain state can be found by multiplying the purchase price by 1/20.
∴ Sales tax on an item that is 25.60 is 25.60×1/20.
= 1.325 dollars.
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The robot can travel approximately 295 yards per minute, after converting its speed from meters per second to yards per minute using the conversion factor.
To answer this question, we need to convert the robot's speed from meters per second to yards per minute. First, we know 1 yard is approximately equivalent to 0.9144 meters. Secondly, there are 60 seconds in a minute.
The robot moves at a speed of 4.5 meters per second, multiplying that by 60 will give us the distance in meters it can cover in a minute, which equals 270 meters.
To convert 270 meters to yards, we divide by the conversion factor which is 0.9144. Thus, the robot can travel approximately 295 yards per minute.
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To convert the speed from meters per second to yards per minute, multiply the speed in meters per second by 1.09361 (conversion factor for meters to yards) and then multiply by 60 (conversion factor for seconds to minutes).
To convert meters to yards, we need to use the conversion factor: 1 meter = 1.09361 yards. First, let's find out how many meters the robot can travel in one minute. Since there are 60 seconds in a minute, the robot can travel 4.5 x 60 = 270 meters in one minute. Now, let's convert meters to yards by multiplying the number of meters by the conversion factor: 270 x 1.09361 = 295.5687 yards. Therefore, the robot can travel approximately 295.5687 yards per minute.
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2.95 miles
The question involves radio direction finders placed at two points, A and B, which are 4.32 miles apart on an east-west line. The transmitter has bearings 10.1 degrees from A and 310.1 degrees from B. The task is to determine the distance from A.In order to determine the distance from A, the first step is to construct a diagram of the scenario to visualize the placement of the three points, A, B, and the transmitter. To do so, a coordinate system is used, with A being located at the origin (0,0).The bearing of the transmitter from A is 10.1 degrees, which can be plotted on the diagram as a straight line from the origin to an angle of 10.1 degrees to the east. Similarly, the bearing of the transmitter from B is 310.1 degrees, which can be plotted on the diagram as a straight line from point B to an angle of 49.9 degrees to the west.To determine the distance from A, the Law of Cosines can be applied, which states that c^2 = a^2 + b^2 − 2ab cos(C), where c is the unknown side, a and b are the known sides, and C is the angle opposite the unknown side. In this case, c is the distance from A, a is the distance from B, and b is the distance between A and B. The angle C is equal to the sum of the two bearings (10.1 + 49.9 = 60 degrees).Therefore, c^2 = a^2 + b^2 − 2ab cos(C) can be rewritten as:dA^2 = d^2 + 4.32^2 - 2d(4.32)cos(60)dA^2 = d^2 + 4.32^2 - 2d(4.32)(1/2)dA^2 = d^2 + 4.32^2 - 2.16dTo solve for dA, the equation can be rearranged and solved for d:0 = d^2 - 2.16d + dA^2 - 4.32^2d = 1.08 ± sqrt(1.08^2 - dA^2 + 4.32^2)The positive root of this equation can be used to determine dA:dA = 1.08 + sqrt(1.08^2 - d^2 + 4.32^2)dA = 1.08 + sqrt(1.08^2 - 4.32^2 cos^2(10.1))dA ≈ 2.95 milesTherefore, the distance from A is approximately 2.95 miles.
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42 · 42 =
Answer:
1764
Step-by-step explanation: