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Dahasolnce [82]
2 years ago
5

A test has twenty questions worth 100 points. the test consists of

Mathematics
1 answer:
Sophie [7]2 years ago
6 0
B. False questions worth 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
How might a change in the environment affect plants differently than it would animals?
valentina_108 [34]

Answer:

Some plants need certain things in their environment, so if their environment changes it could make the plants not grow. Animals would most likely either move to a different area or would get used to the change.

8 0
3 years ago
P/-8 + 9 &gt; 13 <br> pls explain i don't get it
KonstantinChe [14]

Answer:

p < -32

Step-by-step explanation:

<em>Given:</em> p/-8 + 9 > 13

<em>Rewrite:</em> \frac{p}{-8} + 9 > 13

<em>Subtract 9 from both sides:</em> \frac{p}{-8}  > 4

<em>Move the negative (it is a fraction): </em>\frac{-p}{8} > 4

<em>Multiply both sides by 8:</em> -p > 32

<em>Times by -1 (-p -> -1p): </em>p > -32

<em>Flip the sign (multiplied by a negative): </em>p < -32

Hope this helps, have a nice day :D

3 0
2 years ago
Read 2 more answers
The correct simplification of (7x3y3)2.
anyanavicka [17]
<span>49 x^6 y^6
Assuming the 2 is an exponent.
I had the same question.
Just square </span>everything.
Ex. 7^2 = 49



Brainiest would be nice.
7 0
2 years ago
Read 2 more answers
a movie is three hours long. if this duration is multiplied by the conversion factor 60 how will the length of the 1 movie be ex
cupoosta [38]
It's a total of one-eighty
7 0
3 years ago
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