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iris [78.8K]
2 years ago
11

Simplify.

Mathematics
1 answer:
Sidana [21]2 years ago
5 0
<h3>Answer: 3\sqrt{7}</h3>

3*sqrt(7)

3 times the square root of 7

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

Explanation:

I'm assuming the V stands for square root. You can write sqrt(63).

\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}

The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is \sqrt{x*y} = \sqrt{x}*\sqrt{y}

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How do I properly convert a percent of the day to hours. Such as 26% of the day is how many hours?
Shtirlitz [24]
Multiply the decimal version of the percent by the total number of hours in a day (24). For example, 26% of the day is 0.26 * 24 = 6.24 hours.
7 0
3 years ago
Write 0.00968 in scientific notation
Veseljchak [2.6K]
9.68 X 10^3. Hope this helped :)

5 0
2 years ago
11. Jessica invested $18820 to buy a new car for her business. How many years would it take for
just olya [345]

Answer :after four years the price of car depreciate

8 0
3 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
Vlada [557]

Answer:

It is symmetric about x- axis

The graph is not symmetric along the y - axis

It is not symmetric about the origin

Step-by-step explanation:

We can easily know the solution to your problem by graphing the equation

r(θ) = 2*cos (5*θ)

Please, see attached image

The graph is symmetric about the x axis if

r(θ) = r(-θ)

r(θ) = 2*cos (5*θ) = 2*cos (-5*θ) = r(-θ)

Since the cosine is an even function.

It is symmetric about x- axis

The graph is not symmetric along the y - axis, because

r(θ) ≠ r(π-θ)

It is symmetric about the origin if

r(θ)  =  r(π+θ)

But, since,

r(θ) = 2*cos (5*θ) ≠ 2*cos (5*(θ+π)) = 2*cos (5*θ+5*π)

It is not symmetric about the origin

4 0
3 years ago
Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the tota
blagie [28]

Answer:

  • 1. $330
  • 2. 11.5 hours

Step-by-step explanation:

<u><em>Continuation of the question:</em></u>

  • <em>1. Find c (5) and interpret your solution in the context of the problem </em>
  • <em>2. Find the value of h when c() = 525 and interpret your solution in the context of the problem</em>

<u>Solution</u>

  • c(h) = 30h + 180

1 ...............................................

  • c(5) = 30*5 + 180 = $330

2 ...............................................

  • 525 = 30h + 180
  • 30h = 525 - 180
  • 30h = 345
  • h = 345/30
  • h = 11.5 hours

8 0
2 years ago
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