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castortr0y [4]
2 years ago
9

Evaluate.

ass="latex-formula">
Mathematics
2 answers:
ch4aika [34]2 years ago
7 0
4^0 is 1 because any number to the zero power is one so 1*5=5
disa [49]2 years ago
7 0

Hey there!

When you have this equation, and you have 4^{0} it turns to 4^{1}

So now do 4 x 1 = 4

Now do 5 x 4 = 20


Your final answer is 20.


Hope this helps! Let me know if you need help with anything else. :)


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It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equatio
Andru [333]

You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression

<h3>What is an extraneous solution?</h3>

An extraneous solution is a solution that in obtained after completely solving an equation but it does not  work in the original given equation.

You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression (Option D).

Learn more about extraneous solution: brainly.com/question/14054707

#SPJ1

7 0
2 years ago
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
The olympics are held every four years. In 2016, the XXXI olympiad were held in Rio de Janeiro,Brazil. Determine the year of the
Anna007 [38]

Answer:

First Olympic held in year 1896.

Step-by-step explanation:

Number of Olympiad held in Rio = XXXI = 31st

Difference of years in two consecutive Olympiads = 4 years

Number of years spent in 31 Olympiads can be calculated by,

Number of years spent = (n - 1)d

Here n = number of Olympiads held

d = difference between two consecutive Olympiads

Number of years spent till 31st Olympiads = (31 - 1)×4

                                                                      = 120 years

Therefore, 1st Olympiad held in the year = 2016 - 120

                                                                   = 1896

6 0
2 years ago
Randy has 128 ounces if dog food he feeds his dog. 8 ounces of food each day how many days will the dog food last
OverLord2011 [107]
All you have to do is divide the ounces he has into how much he gives the dog each day so 128/8 is 16
3 0
3 years ago
Read 2 more answers
If 5= 5+2x then 12x= ? I’m
julsineya [31]

Answer:

12x = 0

Step-by-step explanation:

5= 5+2x

Subtract 5 from each side

5-5= 5-5+2x

0 = 2x

Multiply each side by 6

0*6 = 2x*6

0 = 12x

7 0
2 years ago
Read 2 more answers
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