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ki77a [65]
3 years ago
5

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0
Megan’s plant grew at a faster rate
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1.The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].
ElenaW [278]

Problem 1

<h3>Answer: D) 2pi</h3>

-------------------

Explanation:

The given table we have is

\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}\text{Angle} & 0 & \pi/6 & \pi/2 & 5\pi/6 & 3\pi/2 & 2\pi\\ \cline{1-7}f(x) & 1 & 0 & -1 & 0 & 3 & 1\\ \cline{1-7}\end{array}

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

y = 2\cos\left(x+\frac{\pi}{2}\right)+1

The B coefficient is 1, so that leads to a period of

T = 2pi/B

T = 2pi/1

T = 2pi

=============================================

Problem 2

<h3>Answer: C) 343.134 yards</h3>

-------------------

Explanation:

Draw out a triangle with these properties

  • side a = 270
  • side b = 170
  • angle C = 100

We'll use the law of cosines to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 270^2 + 170^2 - 2*270*170*cos(100)

c^2 = 117740.902710

c = sqrt(117740.902710)

c = 343.133943

c = 343.134

=============================================

Problem 3

<h3>Answer: A) 2</h3>

-------------------

Explanation:

If you started with y = sin(x) and applied the transformations stated, then you should end up with y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\

From here, plug in x = 0 to find the y intercept.

y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\y = 2\sin\left(2(0+\frac{\pi}{4})\right)\\\\y = 2\sin\left(\frac{\pi}{2}\right)\\\\y = 2*1\\\\y = 2\\\\

7 0
3 years ago
( 4 over 4 )x = 4/32 what is the value of x
aksik [14]

4 over 4 (4/4) is equal to 1.

The equation can be rewritten as X = 4/32

4/32 can be simplified to 1/8


So you have X = 1/8

8 0
3 years ago
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The solution of the equation x = log82 is approximately 0.33. True or False
Valentin [98]
The question is false
6 0
4 years ago
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What is 9/10*4 simplified to a mixed number or fraction
mafiozo [28]

Answer:     =4  2/3

Step-by-step explanation:

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Positive 37,000 feet.

Step-by-step explanation:

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