Answer:
please where is the diagram
The Babylonian method for approximating square roots is the recursive method given by:
Given:
x0≈k−−√
x
0
≈
k
Then:
xn+1=x2n+k2xn
x
n
+
1
=
x
n
2
+
k
2
x
n
where k
k
is the number for which we are approximating the square root.
So, armed with this formula, let's now answer the given questions:
1.) Fill in the missing info in the problem to find square root 130 by using the Babylonian method. Let 11.5 be your initial guess.
We will use 15 digits of precision here since it is not stated how many iterations to carry out:
x0=11.5
x
0
=
11.5
x1≈11.4021739130435
x
1
≈
11.4021739130435
x2≈11.4017542587143
x
2
≈
11.4017542587143
x3≈11.4017542509914
x
3
≈
11.4017542509914
x4≈11.4017542509914
x
4
≈
11.4017542509914
Thus, with 15 digits of accuracy, we may state:
130−−−√≈11.4017542509914
130
≈
11.4017542509914
2.) Use the Babylonian method for your next estimate of square root 115 by using 10.7262 as your guess what's your next result?
The next result here is approximately:
x1=10.72622+1152⋅10.7262≈10.7238055620816
x
1
=
10.7262
2
+
115
2
⋅
10.7262
≈
10.7238055620816
3.) Nails wants to use the Babylonia method to estimate square root 58 to the nearest hundredth her initial estimate is 7.8. What is her estimate after she correctly completes the Babylonian method once?
The next result here is:
x1=7.82+582⋅7.8=7.6179487¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
x
1
=
7.8
2
+
58
2
⋅
7.8
=
7.6
179487
¯
4.) If you use the Babylonian method to estimate square root 75 to the nearest hundredth, starting with the estimate 8. What is the next estimate?
The next result here is:
x1=82+752⋅8=8.6875
x
1
=
8
2
+
75
2
⋅
8
=
8.6875
Short answer = 20
Argument
Your chances of throwing a 6 = 1/6
Expected Throws = P(6) * Total Throws
Expected Throws = 1/6 * 120
Expected Throws = 20
Answer = 20 <<<<<
Answer:
x + 11
x = 6
6 + 11
17
Step-by-step explanation:
Answer:
$1050
$54,600
Step-by-step explanation:
In this question, we are looking at calculating two things. We want to calculate the amount of commission made in a week and the amount made in a year.
Firstly, to calculate the amount of commission she made last week, we simply find the percentage.
Mathematically, this is equal simply to:
14% of $7,500 = 14/100 * 7500 = $1050
She made a commission of $1050 last week
Now, we are told this is the average she makes per week. We now want to calculate how much she makes per year. To do this, what we do is to multiply what she had made in a week by the number of weeks in a year.
The number of weeks in a year is 52. The amount she made is just 52 * $1050 = $54,600
