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kotykmax [81]
3 years ago
12

Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0
You are adding consecutive odd numbers to the number before.  Starting with 1, add 3 to get 4.  Add 5 to 4 to get 9.  Add 7 to 9 to get 16, add 9 to 16 to get 25, add 11 to 25 to get 36.  Trying to figure out how to write that as a recursive rule...
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Answer:

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Step-by-step explanation:

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HELPP. Mary and Frank have two bags in front of them. Mary's bag has 4 marbles; blue, yellow, red
FromTheMoon [43]

Answer: 1/12 is the answer

Step-by-step explanation: 3 , 4

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svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

============================================================

Part b)

Answer: 3*sqrt(3pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

============================================================

Part c)

Answer: sqrt(19pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
8 0
3 years ago
Read 2 more answers
I'm not very good at Spanish and need help
Rashid [163]

Answer: Su hermano tiene que estar dormido.

Step-by-step explanation:

Su is a possessive adjective and in this sentence estar English translates to be like he has to be sleeping meaning a guess a present tense guess

5 0
3 years ago
A scatter plot is made to model the amount of money left to pay on a credit card. The data used for the scatter plot are shown i
NISA [10]

The y-intercept of the given table is 2000.

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

Write the table in the ascending order.

From the table, calculate the rise and run to find the slope of the line.

rise=y_2-y_1.\\run =x_2-x_1.

Choose points (0,2000) and (1,1800).

rise= -200 and run=1.

Slope m = -200.

The line equation is y=mx+c.

Apply the slop value in the equation,

y= -200x+c.

To find the y-intercept substitute a value in the above equation.

Substitute(1,1800),

1800 = -200(1)+c.

2000=c.

y= -200x+2000.

The y-intercept is the point where the line passes through in the vertical y-axis at the origin.

6 0
3 years ago
Read 2 more answers
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