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VashaNatasha [74]
3 years ago
13

ASAP What is the value of x?

Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0
X=25 hope it helps you
jeyben [28]3 years ago
8 0
X equals 18  \frac{1}{3}
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The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)
lesya692 [45]
First, let's use the given information to determine the function's amplitude, midline, and period. 

Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.
     
                      Determining the amplitude, midline, and period 

The midline intersection is at y=5 so this is the midline. 

The maximum point is 1 unit above the midline, so the amplitude is 1. 

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
 
                            Determining the type of function to use 

Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function. 

This means there's no horizontal shift, so the function is of the form -

a sin(bx)+d

Since the midline intersection at x=0 is followed by a maximumpoint, we know that a > 0.

The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1. 

The midline is y=5, so d=5. 

The period is 4π so b = 2π / 4π = 1/2 simplified. 

f(x) = 1 sin ( \dfrac{1}{2}x)+5   <span>= Solution </span>
4 0
3 years ago
The sum of 4 consecutive numbers is 926. Find the four numbers​
Kisachek [45]

Answer:231.5

Step-by-step explanation:

If you divide 926 by 4 you will get 231.5

6 0
3 years ago
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

5 0
3 years ago
Francine has a collection of 25 dolls. If 12% of the dolls are Monster High dolls, how many of the dolls are not Monster High Ex
Oksi-84 [34.3K]

9514 1404 393

Answer:

  22

Step-by-step explanation:

The number of Monster High dolls is ...

  12% × 25 = 3 . . . dolls

The others are not Monster High dolls. Their number is ...

  25 -3 = 22 . . . not Monster High dolls

4 0
3 years ago
What is the slope of a line that is perpendicular to the line y=1/6x+4?
nlexa [21]
Since the slope is rise/run, 1/6 goes up one, right 6. Perpendicular is opposite that. so a slope of -6 goes down 6 and right 1. (as a fraction it's -6/1)
7 0
3 years ago
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