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insens350 [35]
3 years ago
11

Why did the kindergartener take her books to zoo

Mathematics
1 answer:
ss7ja [257]3 years ago
8 0
She wanted to learn to read between the lions
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1. A sine function has the following key features:
andrew11 [14]
Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

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

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

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

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

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

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

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

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

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

8 0
2 years ago
Read 2 more answers
Can somebody help me wit this ? Cause Ion understand this .
Triss [41]

Answer:

wow that's nice of your

4 0
3 years ago
Read 2 more answers
Marisol is painting on a canvas that has an area of 180 square inches. The length of the painting is 11/4 times the width. What
Alona [7]
Notice the picture below, see the length "l"?

well \bf Area=l\times w\qquad 
\begin{cases}
l=\frac{11}{4}w\\
Area=180
\end{cases}\\\\
-----------------------------\\\\
thus
\\\\
180=\cfrac{11}{4}w\times w

solve for "w", to find the width,

what's the length?  well, l = 11/4 w

3 0
2 years ago
Please help me <br> I will give metal
kogti [31]

Answer:

# 1 Liam is 171 miles from Troy.

#2 The ball bounces 6 times.

Step-by-step explanation:

#1 adding 147 to 47 equals 171. If Liam and Sidney are 124 miles apart and Troy is 47 more miles apart from Liam then it is adding the distance already given to the distance he is from Sidney since she is in the middle.

#2 from 40 to 20 to 20 to 10 from 10 to 5 from 5 to 2.5 from 2.5 to 1.25. Just divide by 2 till it is 2 or less than feet.

8 0
3 years ago
What is 68/5 simplified?
GalinKa [24]

Answer:

68/5 is already in the simplest form. It can be written as 13.6 in decimal form (rounded to 6 decimal places)

8 0
3 years ago
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