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miv72 [106K]
2 years ago
5

Which best explains how the division equation relates to the diagram? 16 7/8 divided by 1 7/8

Mathematics
1 answer:
Gennadij [26K]2 years ago
5 0
The first one is correct
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Need help on these !! 13 and 14! Please!!
katen-ka-za [31]

Question # 13

Answer:

The required equation for the given function is <em>y = 4sin(x/2+2π/3) -2 , as shown attached graph diagram.</em>

<em>Step-by-step explanation: </em>

As the general sine function is given by

y=asin(bx+c)+d.......[A]

  • amplitude = a
  • period = 2π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • amplitude = a = 4
  • period = 4π
  • phase shift = -4π/3
  • Vertical shift = d = -2

As  

period = 2π ÷ b  

b = 2π/period

b = 2π/4π ∵ period = 4π

b = 1/2  

Also

Phase shift = -c/b

-4π/3 = -c/b ∵ phase shift = -4π/3

4π/3 = c/b  

c = b × 4π/3  

c = 1/2 × 4π/3  

c = 4π/6  

c = 2π/3

So, putting Amplitude ⇒ a = 4, Vertical shift ⇒ d = -2, b = 1/2 ,  

and c = 2π/3 in Equation [A] would bring us the required equation for the given function.

y=asin(bx+c)+d

y = 4sin(x/2+2π/3)+(-2)

y = 4sin(x/2+2π/3) -2            

<em>Note: The graph is also shown in attached diagram.</em>

                                             Question # 14

<em>Answer:</em>

The required equation for the given function is y = cot(x+π/3)+2, as shown in attached graph diagram.

<em>Step-by-step explanation: </em>

As the general cotangent function is given by

y=acot(bx+c)+d.......[A]

  • amplitude = a
  • period = π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • period = π
  • phase shift = -π/3
  • Vertical shift = d = 2

As  

period = π ÷ b  

b = π/period

b = π/π ∵ period = 4π

b = 1  

Also

Phase shift = -c/b

-π/3 = -c/b ∵ phase shift = -π/3

π/3 = c/b  

c = b × π/3  

c = 1 × π/3  

c = π/3

So, putting vertical shift ⇒ d = 2, b = 1 and   c = π/3 in Equation [A] would bring us the required equation for the given function.

y=acot(bx+c)+d

y = cot(x+π/3)+2

<em>Note: The graph is also shown in attached diagram.</em>

Keywords: amplitude, period , phase shift , vertical shift

Learn more about trigonometric functions of equations from brainly.com/question/2643311

#learnwithBrainly

7 0
3 years ago
Jonas has 40 marbles. He gave 1/5 of the marbles to marvin and 3/8 of the marbles to leroy. How many marbles did each boy get?
MaRussiya [10]
1/5 x 40

= 8 marbles

3/8 x 40

= 15 marbles



5 0
3 years ago
Read 2 more answers
2. A sphere has surface area 16π. Find the radius of the sphere.
KiRa [710]

Answer:

The answer to your question is: 2.29 units

Step-by-step explanation:

Data

Volume = 16π

radius = ?

Formula

V = \frac{4}{3}π r^{3}

Process

                         16 π =  \frac{4}{3}π r^{3}

                         \frac{16(3)}{4} = r^{3}

                         r³ = 12

                        r = 2.29

7 0
3 years ago
PLEASE HELP!!! DUE TODAY
harina [27]
I took this test the answer is 92.
5 0
3 years ago
Read 2 more answers
Pleaseee answer 1st correct answer gets brainliest
Ludmilka [50]

Answer:

4. No they do not form a proportion.  5. Yes they do form a proportion

Step-by-step explanation:

4 is less than 7 and 24 is less than 35 so they make proportions.

7.50 is more than 3 and 5 is more than 2 so they do not make proportions.

3 0
2 years ago
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