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qwelly [4]
3 years ago
12

Write an equation for a cosine function with an amplitude of 5, a period of 3, a phase shift of 2, and a vertical displacement o

f 2.
y = 5 cos 2π x-2/3 + 2

y = 3 cos π (x-2) - 5

y = 3 cos 2π (x-5) + 2

y = 5 cos 2π x+2/2 + 2
Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

y = 5 cos ((2π/3)x - 2) + 2

Step-by-step explanation:

Cosine function takes a general form of  y = A cos (Bx + C) + D

Where

A is the amplitude

2π/B is the period

C is the phase shift ( if -C, then phase shift right, if +C phase shift left)

D is the vertical displacement (+D is above and -D is below)

Given the conditions of the function to build and the general form, we can write:

** Note: period needs to be 3, so 2π/B = 3, hence B = 2π/3

Now we can write:

y = 5 cos ((2π/3)x - 2) + 2

first answer choice is right.

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Ray cuts out a figure that has 4 equal sides and no right angles. What is the best
Studentka2010 [4]

Answer:

rhombus

Step-by-step explanation:

A rhombus had EQUAL four sides yet no right angles. Why not trapezoid? Well, a trapezoid doesn't have four equal sides. Square and rectangle aren't the answer because they contain right angles. Hopes this helps!

8 0
3 years ago
How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta m
andre [41]

Answer:

y = -\frac{2}{3}x + 6

Step-by-step explanation:

y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.

4 = -\frac{2}{3}(3) + b

-2/3 times 3 is -2 so you can fill that in place.

4 = -2 + b

<u>+2   +2     </u>

6 = b

So the y-intercept is 6 now we can complete the equation.

y = -\frac{2}{3}x + 6

Hope that helps and have a great day!

6 0
3 years ago
4. If it costs $18 for 24 pounds of grapes, how much would 8 pounds cost? What is the unit rate?
Anon25 [30]

Answer:

144 and 18

Step-by-step explanation:

18 ×24=432÷3=144

7 0
2 years ago
18-22 evens please and show how to do the work
marta [7]
#18
Answer C
4*7 = 28 which is the most closest one to 27.8

#19
perimeter = 2(L+W)
175.33 feet = 2103. 96 in
2 ( 2103.96 +48)
2 * 2151.96
4303.92 inches

#20
L*W = A
2103.96 * 48
100990.08 inch^2

to lazy to do the rest sorry
5 0
3 years ago
Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the
Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

<u />

<u>You can use the distance formula (d = rt) to solve this problem.  </u>

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C  

R + C is their rowing speed (R) plus the rate of the current (C).  

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).  

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

<u>Calculations</u>

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0
3 years ago
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