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kozerog [31]
3 years ago
14

The volume of the sun is 1.4 x 10 to the power of 18 cubic kilometers and the volume of the earth is 1.1 x 10 to the power of 12

cubic kilometers. About how many earths could fit into the sun?
Mathematics
1 answer:
Ivahew [28]3 years ago
8 0
Around 1.3 million earth could fit into the sun.
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Answer the circled question
Wittaler [7]

Answer:

Length = 6 cm    Breadth = 5 cm

Step-by-step explanation:

All I did was find the factors of 30, and look out for the one that also equals 22 when added. 5+5+6+6=22,  5x6=30.

4 0
3 years ago
3 determine the highest real root of f (x) = x3− 6x2 + 11x − 6.1: (a) graphically. (b) using the newton-raphson method (three it
Juliette [100K]

(a) See the first attachment for a graph. This graphing calculator displays roots to 3 decimal places. (The third attachment shows a different graphing calculator and 10 significant digits.)

(b) In the table of the first attachment, the column headed by g(x) gives iterations of Newton's Method. (For Newton's method, it is convenient to let the calculator's derivative function compute the derivative f'(x) of the function f(x). We have defined g(x) = x - f(x)/f'(x).) The result of the 3rd iteration is ...

... x ≈ 3.0473167

(c) The function h(x₁, x₂) computes iterations using the secant method. The results for three iterations of that method are shown below the table in the attachment. The result of the 3rd iteration is ...

... x ≈ 3.2291234

(d) The function h(x, x+0.01) computes the modified secant method as required by the problem statement. The result of the 3rd iteration is ...

... x ≈ 3.0477377

(e) Using <em>Mathematica</em>, the roots are found to be as shown in the second attachment. The highest root is about ...

... x ≈ 3.0466805180

_____

<em>Comment on these methods</em>

Newton's method can have convergence problems if the starting point is not sufficiently close to the root. A graphing calculator that gives a 3-digit approximation (or better) can help avoid this issue. For the calculator used here, the output of "g(x)" is computed even as the input is typed, so one can simply copy the function output to the input to get a 12-significant digit approximation of the root as fast as you can type it.

The "modified" secant method is a variation of the secant method that does not require two values of the function to start with. Instead, it uses a value of x that is "close" to the one given. For our purpose here, we can use the same h(x1, x2) for both methods, with a different x2 for the modified method.

We have defined h(x1, x2) = x1 - f(x1)(f(x1)-f(x2))/(x1 -x2).

6 0
2 years ago
Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
Y_Kistochka [10]
When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.

0=-(x-2)^{2}+16 \\  \\ &#10;(x-2)^{2}=16 \\  \\ &#10;x-2= \sqrt{16} \\  \\ &#10;x-2=4 \\  \\ &#10;x=6

This means the ball will hit the ground 6 seconds after Amir threw it
6 0
3 years ago
Read 2 more answers
1. Write an equation for a line in slope intercept form that passes through (0,5) and has a slope of 2
SIZIF [17.4K]

Answer:

equation of line: y = 2x + 5

Explanation:

     using the formula:

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  • y - 5 = 2(x - 0)
  • y - 5 = 2x
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6 0
2 years ago
Read 2 more answers
EXPERT HELP I'LL GIVE BRAINLIEST:
ICE Princess25 [194]

Answer:

990, C

Step-by-step explanation:

The formula for the surface area of the bottom cushion is

A = 2wl + 2lh + 2hw (w is width, l is length, h is height)

w = 18, l = 21, h = 3

A = 2(18)(21) + 2(21)(3) + 2(3)(18)

A = 2(378) + 2(63) + 2(54)

A = 756 + 126 + 108

A = 990 (C)

5 0
2 years ago
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