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3 years ago

Find an explicit formula for the arithmetic sequence -5,13,31,49,

1 answer:

4 0

The common difference dividing each term from the next is 18.

Then a(n) = -5 + (n-1)(18)

Check: find a(1) using this formula. Is a(1) = -5? a(1) = -5 + (1-1)(18) does equal -5.

Find a(2); a(2) = -5 + (2-1)(18) = -5 + 18 = 13. Correct.

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Find the median, range, and interquartile range of both sets:

Sever21 [200]

Answer:

C) Both sets have an interquartile range of 27.

Step-by-step explanation:

Sorted data

Set 1: 65, 66, 77, 79, 81, 93, 104, 105

Set 2: 1, 29, 56, 59, 60, 67, 72, 74

Median position: (8+1)/2 = 4.5th value

Ranges:

Set 1: 105 - 65 = 40

Set 2: 74 - 1 = 73

Medians:

Set 1: (79+81)/2 = 80

Set 2: (59+60)/2 = 59.5

IQR:

Set 1: (93+104)/2 - (66+77)/2

= 27

Set 2: (67+72)/2 - (29+56)/2

= 27

3 0

4 years ago

Read 2 more answers

Ali was paid $75 for mowing a neighbor''s yard. This is one fourth of the amount of money she earned all summer

kykrilka [37]

Answer:

75*4= 300. Ali earned $300 that summer

Step-by-step explanation:

5 0

4 years ago

Solve for m. 2G/K=5/M

murzikaleks [220]

5k/2g is the answer to the problem

6 0

3 years ago

The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya i

Alexeev081 [22]

Maya travels $4.19 feet/sec$ faster than Kelly !

Difference in distance is : $106.76-56.52 = 50.24 feet$

<u>Step-by-step explanation:</u>

Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:

Kelly is riding on the inner ring, which has a radius of 9 feet

Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.

⇒ $Distance = 2\pi r$

⇒ $Distance = 2(3.14) 9$

⇒ $Distance = 56.52feet$

Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .

Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.

⇒ $Distance = 2\pi r$

⇒ $Distance = 2(3.14) 17$

⇒ $Distance = 106.76feet$

Therefore , Difference in distance is : $106.76-56.52 = 50.24 feet$

Now , Speed of both is give by

⇒ $Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec$ And ,

⇒ $Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec$

Faster Maya travels = 8.90-4.71 = 4.19

So , Maya travels $4.19 feet/sec$ faster than Kelly !

8 0

4 years ago

Somebody, please help

SashulF [63]

F(x) can be written as:
f(x) = Asin(2x); where A is the amplitude and the period of the function is half that of a normal sin function.
f(π/4) = 4
4 = Asin(2(π/4))
4 = Asin(π/2)
A = 4
Amplitude of g(x) = 1/2 * amplitude of f(x)
A for g(x) = 2
g(x) = 2sin(x)

5 0

4 years ago