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3 years ago

What is the equation of the midline for the function f (x)? f(x) = sin(x) + 3

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

The answer is f(x)=3 or y=3

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2.3+0.02(x+20)-4.8=-9<br><br> Solve for x

Naya [18.7K]

Answer:

$x=-345$

Step-by-step explanation:

$2.3+0.02\left(x+20\right)-4.8=-9$

$\mathrm{Multiply\:both\:sides\:by\:}100$

$2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100$

$230+2\left(x+20\right)-480=-900$

$\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}$

$230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)$

$2\left(x+20\right)=-650$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2\left(x+20\right)}{2}=\frac{-650}{2}$

$x+20=-325$

$\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}$

$x+20-20=-325-20$

$\bold{x=-345}$

5 0

2 years ago

To have batting averages over 0.500,how many hits in 45 times at bat would Raul and Karen need

Morgarella [4.7K]

You would have to multiply 0.500(0.5) to 45 and you would get 22.5

6 0

3 years ago

Read 2 more answers

Karen is starting a career as a professional wildlife photographer and plans to photograph Canadian Geese at one of the staging

balandron [24]

Answer:

$5000*0.816 = $4082

Step-by-step explanation:

It's a strange question, but based on the statement and the question it sounds like it's a poisson distribution:

* For 3 days she was able to get 2 good shots (<em>typical of that time of the year</em>)

* Good shots happen randomly

* Each day is independent of another

Let's call 'p' the probability that she makes a good shot per day

Let's call 'n' the number of days Karen is taking shots.

So, if in 3 days he got 2 good shots and that is typical at that time of the year, then the expected value for the number of good shots (X) is:

$E(x)=\frac{2}{3}$

For a Poisson distribution $E (x)=\lambda\\\lambda= np$

So:

$\lambda =\frac{2}{3}$

For a Poisson distribution the standard deviation is:

$\sigma = \sqrt{\lambda}\\\sigma = \sqrt{\frac{2}{3}}$

$\sigma = 0.816$ this is the standard deviation for the number of buentas taken.

So the standard deviation for income is the price of each shot per sigma

$5000*0.816 = $4082, which is the desired response.

3 0

3 years ago

if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?

Inessa05 [86]

Answer:

cost of 1 tie = 11

cost of 1 shirt = 52

Step-by-step explanation:

3 0

3 years ago

Convert 0.00054 to scientific notation

andreev551 [17]

The answer is 5.4 × 10^-4

3 0

3 years ago

Read 2 more answers