Sam wants to meet his friend Beth at a restaurant before they go to the theater.The restaurant is 9km south of the theater.

Answers

Answer 1
Answer: Okay now I know its 9km from the theater, but what is the question? Or what ties to this?
Answer 2
Answer:

Answer:


Step-by-step explanation:

Find the marking point for both Sam and Beth and u got ur answer



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NEED THIS QUESTION ASAP!

Answers

Answer:

1. The last one

2. The third one

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions r1(t) = t2, 11t − 18, t2 r2(t) = 3t − 2, t2, 7t − 10

Answers

Answer:

t= 2 s

Step-by-step explanation:

See it in the pic.

What's the nearest integer and the nearest tenth

Answers

Answer:

nearest integer 27 by 4

Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to three decimal places.) f(x) = x9 − 9, x1 = 1.6

Answers

Answer:

Iteration 1: x_(2)=1.446

Iteration 2: x_(3)=1.337

Step-by-step explanation:

Formula for Newton's method is,

x_(n+1)=x_n-(f\left(x_n\right))/(f'\left(x_n\right))

Given the initial guess as x_(1)=1.6, therefore value of n = 1.

Also, f\left(x\right)=x^(9)-9.

Differentiating with respect to x,

(d)/(dx)\left(f\left(x\right)\right)=(d)/(dx)\left(x^9-9\right)

Applying difference rule of derivative,

(d)/(dx)\left(f\left(x\right)\right)=(d)/(dx)\left(x^9\right)-(d)/(dx)\left(9\right)

Applying power rule and constant rule of derivative,

(d)/(dx)\left(f\left(x\right)\right)=\left(9x^(9-1)\right)-0

(d)/(dx)\left(f\left(x\right)\right)=9x^(8)

Substituting the value,

x_(1+1)=x_1-(f\left(x_1\right))/(f'\left(x_1\right))

x_(2)=1.6-(f\left(1.6\right))/(f'\left(1.6\right))

Calculating the value of f\left(1.6\right) and f'\left(1.6\right)

Calculating f\left(1.6\right)

f\left(1.6\right)=\left(1.6\right)^(9)-9

f\left(1.6\right)=59.71947674

Calculating f'\left(1.6\right),

f'\left(1.6\right)=9\left(1.6\right)^(8)

f'\left(1.6\right)=386.5470566

Substituting the value,

x_(2)=1.6-(59.71947674)/(386.5470566)

x_(2)=1.446

Therefore value after second iteration is x_(2)=1.446

Now use x_(2)=1.446 as the next value to calculate second iteration. Here n = 2

Therefore,

x_(2+1)=x_2-(f\left(x_2\right))/(f'\left(x_2\right))

x_(3)=1.446-(f\left(1.446\right))/(f'\left(1.446\right))

Calculating the value of f\left(1.446\right) and f'\left(1.446\right)

Calculating f\left(1.446\right)

f\left(1.446\right)=\left(1.446\right)^(9)-9

f\left(1.446\right)=18.63851065

Calculating f'\left(1.446\right),

f\left(1.446\right)=9\left(1.446\right)^(8)

f\left(1.446\right)=172.0239252

Substituting the value,

x_(3)=1.446-(18.63851065)/(172.0239252)

x_(3)=1.337

Therefore value after second iteration is x_(3)=1.337

Final answer:

To calculate two iterations of Newton's Method, use the formula xn+1 = xn - f(xn)/f'(xn). Given an initial guess of x1 = 1.6 and the function f(x) = x9 - 9, calculate f(xn) and f'(xn) at x1 and then use the formula to find x2 and x3.

Explanation:

To calculate two iterations of Newton's Method, we need to use the formula:

xn+1 = xn - f(xn)/f'(xn)

Given an initial guess of x1 = 1.6 and the function f(x) = x9 - 9, we can proceed as follows:

  1. Calculate f(xn) at x1: f(1.6) = (1.6)9 - 9 = 38.5432
  2. Calculate f'(xn) at x1: f'(1.6) = 9(1.6)8 = 368.64
  3. Calculate x2: x2 = 1.6 - f(1.6)/f'(1.6) = 1.6 - 38.5432/368.64 = 1.494
  4. Repeat the process to find x3 using the updated x2 as the initial guess.

Learn more about Newton's Method here:

brainly.com/question/31910767

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Identify the initial value, a, and base, b, of the function f(x)=ab^x if its graph passes through the points (0, 4) and (1, 20)

Answers

Answer:

a = 4, b = 5

Step-by-step explanation:

Given the exponential function

f(x) = ab^(x)

Use the given points to find a and b

Using (0, 4 ) , then

4 = ab^(0) ( b^(0) = 1 ) , thus

a = 4 , so

f(x) = 4b^(x)

Using (1, 20 ) , then

20 = 4b ( divide both sides by 4 )

b = 5

8 5/12 divided by 1 3/4

Answers

^fractions lesson^

8 5/12 : 1 3/4

step 1:

(8 × 12 + 5)/12

=101/12

step 2:

(1 × 4 + 3)/4

=7/4

ok, enter:

101/12 : 7/4

=101/12 × 4/7

=404/84

=4 68/84

=4 17/21