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Maurinko [17]
2 years ago
4

Find the simplest form of the general term for the sequence 11, 15, 19, 23, . . .

Mathematics
1 answer:
vredina [299]2 years ago
7 0
Here is the sequence we are given:
11, 15. 19, 23, ..........................
Looking at this sequence of number very well, you will discover that there is a difference of 4 between each subsequent number. This implies that each time 4 is added to the previous number the next number is obtained. 
Because of this difference,  4n - 1 will give us the simplest form of the general term.
For instance, to find the first number of the sequence, we will have:
[4 * 1] - 1 = 3.
For the second number, we will have: 4 * 2 - 1 = 7.
Thus, the first number of the series is 3 and the second is 7.
Therefore, the seqeunce will go like this: 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, ..............
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Find the range of y=3/2cos4x-1
MrRissso [65]

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1,  y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1,  y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

5 0
2 years ago
A recipe for a dessert for 6 people requires 120g of sugar. How much sugar would I need for a dessert 9 people?
zzz [600]

Answer:

180g of sugar

Step-by-step explanation:

3 0
2 years ago
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John is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximate
Stells [14]
He will need 527.52 cubic centimeters of wax. You divide the diameter by 2 ten multiply that number by itself to get the circumference. From there you multiply it by 12 then by 4 and there's your answer
5 0
2 years ago
A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that
worty [1.4K]
A translation is a transformation that slides each point of a figure the same distance in the same direction. The lines connecting each point of the preimage to its image are congruent. One type of transformation that is not an isometry is called a dilation<span>.</span>
8 0
2 years ago
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Each week, Rosario drives to an ice skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles
zhuklara [117]
We have to use physics: vm = d/t
Where vm = average velocity
d = distance that one travel
t = time in which you travel

Using this formula we know that t = d/vm

First, we find how much time does it take to the rink:
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After we find out the time we have left:
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Using the same formula we can now calculate the average on his way home =
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The final equation:
x= 120/(2.75-120/55) = 211,2 miles per hour

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