A tessellation has no A) gaps or overlaps, as a tessellation is all about repeated figures, which can be translated onto other figures, this produces a pattern.<span />
The domain is t=0 to t=3.2 and range is y = 0 to 57.125 feet.
<u>What are Domain and range of a Function?</u>
- The range of values that we are permitted to enter into our function is known as the domain of a function.
- The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
- After we enter an x value, the function outputs this sequence of values. The y values are those.
- A function can be compared to a piece of equipment on an assembly line.
- A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.
Given function is : y = -16t^2 + 50t + 4
It hits the ground when y=0
0 = -16t^2 + 50t + 4
8t^2 -25t -2 = 0
t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds
domain is t=0 to t=3.2 [3.2]
take the derivative and set it equal to zero to find maximum height
-32t +50 = 0
t = 50/32 = 25/16 = 1.5625 seconds
-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height
range is y = 0 to 57.125 feet. the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.
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Answer:
Is below.
Step-by-step explanation:
Prime Factors:
40 = 2*2*2*5
210 = 2*3*5*7
165= 3*5*11
The LCM is 2*2*2*3*5*7*11
= 8*15*77
= 9240.
The false statement is (c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
<h3>What are probabilities?</h3>
Probabilities are used to determine the chances of events
The table entry is given as:
- Red - 2
- Blue - 3
- Yellow - 4
- Green - 3
From the list of options, the false statement is
(c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
This is so because:
- Blue or Yellow = 3 + 4 = 7
- Red or Green = 2 + 3 = 5
Notice the count of blue or yellow marbles (7) is greater than the number of red or green marbles (5)
This means that, the probability of selecting a blue or yellow marble is greater than the probability of selecting a red or green marble.
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