Distance between (5,0) and (2,-2)

horsena [70]

How to do the problem:
Assuming that you mean you want 12% of the number 80 and showing work, here is the answer:

To get X percent of any number, write the percent as a decimal and then multiply that decimal by the whole.

What I mean:

You want 12% of 80
so first change 12% into a decimal
12% is equal to .12 as a decimal

Then multiply that decimal by the whole
Since you want 12% of 80, 80 is the whole

that means you do .12 * 80
which is equal to 9.6
<u>Thus(answer)</u>
12% of 80 = 9.6

4 0

2 years ago

The equation of motion for a weight suspended from a particular spring is given by p(t)=2sint3+5cost3p(t)=2sin⁡t3+5cos⁡t3, where

daser333 [38]

The given displacement at time, t, is
p(t) = 2 sin(t³) + 5 cos(t³)

The initial equilibrium position is
p(0) = 5

To determine future equilibrium postions, define
f(t) = p(t) - 5 = 2 sin(t³) + 5 cos(t³ - 5
The derivative of f(t) is
f'(t) = (3t²)[2 cos(t³) - 5sin(t³)]

Equilibrium is established when f(t) = 0.
To solve this equation numerically, we shall use the Newton-Raphson method, given by.
t(n+1) = t(n) - f[t(n)]/f'[(t(n)], n=0,1,2, ...,

As a guess, let (0) = 1.
The iterative solution for t is shown below.

n t(n)
--- -----------
0 1.0000
1 0.9344
2 0.9147
3 0.9130
4 0.9130

The solution converges rapidly to t = 0.913 s.
The graphical solution (shown below) confirms the numerical solution.

Answer:
The weight first reaches the equilibrium position in 0.913 sec.

4 0

3 years ago

Doug's teacher told him that the standardized score (z-score) for his mathematics

BigorU [14]

Answer:

Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.

I just took the test and got it right :)

Step-by-step explanation:

8 0

2 years ago

All the information given in the photo, no idea how to solve <br>

frosja888 [35]

Answer:

I think you need to find the angle of fde. which b and c look like 45 degree angles.and so does fde, if you know how to solve the problem now, I would do that, because everything there number wise was a VERY rough estimate.

Step-by-step explanation:

3 0

2 years ago

If n+h/5=f+9/9, then n/5=

Ann [662]

------------------------------------------------------------------
Question
------------------------------------------------------------------
$\boxed { \frac{n+h}{5} = \frac{f+9}{9}}$

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Split the fraction on the left
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$\boxed { \frac{n}{5} + \frac{h}{5} = \frac{f + 9}{9}}$

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Take away h/5 from both sides
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$\boxed { \frac{n}{5} = \frac{f+9}{9} - \frac{h}{5}}$

------------------------------------------------------------------
Change the denominator to be the same
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}$

------------------------------------------------------------------
Put it into single fraction
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }$

-------------------------------------------------------------------
Rearrange (This step may not be necessary)
------------------------------------------------------------------
$\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }$

$\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}$

6 0

2 years ago