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3 years ago

9

Please Someone Help me, and do not spam. 15 points for answer and you will be brainliest if you include steps on how to do it!

2 answers:

Gala2k [10]3 years ago

8 0

A) The equation for function 1 is y = -2x + 1 so the rate of change is -2.
The equation for function 2 is y = 4x + 4 so the rate of change is 4.
b) Function 2 has the greatest rate of change.

frosja888 [35]3 years ago

7 0

I hope this helps you

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You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

24000000 in standard form

garik1379 [7]

24,000,000
2.4*10^7 Answer

8 0

4 years ago

the sum of two numbers is 55. The larger number is 15 more than the smaller number. what are the numbers?

lions [1.4K]

X= smaller #
Y= larger #

X + y = 55

55-15=40

X=40 and y=15

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3 years ago

Is it possible to write the question of every line in slope intercept form

gregori [183]

Yes, it is possible even if it is a decimal.

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3 years ago

The figure shows the dimension of a city park in feet what is the area of the park?

salantis [7]

The answer would b C. 1,208 ft2

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