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topjm [15]
3 years ago
15

One kilometer is about 0.62 mile. It is 12 kilometers from Noah’s house to the ice skating rink. About how many miles is it from

Noah’s house to the ice skating rink?
Please help me quick this is homework due tomorrow.
Mathematics
1 answer:
algol [13]3 years ago
5 0

Answer:

7.5 Miles

Step-by-step explanation:


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What is the volume of a ball if the diameter if the ball is 6 inches? Leave your answer in terms of π.
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<span>Volume  = 4/3*pi*r^3
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(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is
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Answer:

x=10

Step-by-step explanation:

Supplementary angles are angles equal to 180°.

Therefore:

4(2x+9)+2(4x-8)=180

Now that we have our equation, let's distribute the 4 and the 2 into the parentheses they are next to:

8x+36+8x-16=180

Combine like terms:

16x+20=180

Subtract 20 from both sides of the equation:

16x=160

Divide by the coefficient of x, which is 16:

x=10

~

Check your work by substituting 10 into one of the equations above:

8(10)+36+8(10)-16=180

80+36+80-16=180

180=180

It's correct!

6 0
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respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal ru
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The differences between the trapezoidal rule and simpson's rule is -

The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.

<h3>What is trapezoidal rule?</h3>

The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.

Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).

  • Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."
  • Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.
  • Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ix
<h3>What is Simpson's method?</h3>

Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form  b∫ₐ f(x) dx.

Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.

  • Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.
  • Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.
  • Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.
  • Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].

Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.

To know more about the Simpson's method and trapezoidal rule, here

brainly.com/question/16996659

#SPJ4

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