√3*√5*√12 i need to simplify please help

Answers

Answer 1

Step-by-step explanation:

To simplify the expression √3 * √5 * √12, you can combine the square roots and simplify the numbers under the radicals.

Step 1: Simplify the numbers under the radicals:

√3 = √(3) (The square root of 3 cannot be simplified further because 3 is a prime number.)

√5 = √(5) (The square root of 5 cannot be simplified further because 5 is a prime number.)

√12 = √(4 * 3) (The number 12 can be expressed as the product of 4 and 3, and the square root of 4 simplifies to 2.)

√12 = 2√(3)

Step 2: Combine the simplified square roots:

√3 * √5 * √12 = √(3) * √(5) * 2√(3)

Step 3: Apply the rule of multiplying square roots:

√(3) * √(5) = √(3 * 5) = √15

Step 4: Substitute the simplified square roots back into the expression:

√3 * √5 * √12 = √15 * 2√(3)

Step 5: Simplify the expression further:

√15 * 2√(3) = 2√(15) * √(3) = 2√(15 * 3) = 2√(45)

Step 6: Simplify the number under the square root:

2√(45) = 2√(9 * 5) = 2√(9) * √(5) = 2 * 3 * √(5) = 6√(5)

Therefore, the simplified form of √3 * √5 * √12 is 6√5.

Answer 2

Answer: 6√5

√180 = 6√5


Related Questions

Find the slope of the line that passes through the two points on the graph above. A. -5.13 B. -0.87 C. 0 D. 0.87

Answers

The slope of the line that passes through given points is -0.87. Option B is the correct answer.

In mathematics, slope is usually defined by the letter "m" and includes the change in y coordinate (vertical change) divided by the change in x coordinate (horizontal shift) between two points on a line.

We know that slope of a line that passes through two points is :

slope,   [tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

The given points are (-3.9,4.1) and (5.5,-4.1).

y2 = -4.1

y1 = 4.1

x2 = 5.5

x1 = -3.9

Substituting all these values  in the above equation  we get,

slope,  [tex]m = \frac{-4.1 - (4.1)}{5.5 - (-3.9)}[/tex]

m = -8.2 / 9.4

m = -0.87

So, the slope of the line formed by given points is -0.87. Therefore , option B is correct answer.

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What is the minimum selling price on the special order to produce net income of 5.17 per basketball

Answers

The minimum selling price on the special order to produce net income of 5.17 per basketball is $ 29.79 per ball.

How to calculate the value

Variable cost of goods sold for the special order = $ ( 3,582,000 - 960,000 ) / 120,000 * 10,000 = $ 218,500

Variable selling and administrative expenses for special order = $ [( 513,400 - 271,000) / 120,000 + 0.75] x 10,000 = $ 27,700

Fixed costs are not relevant, as they would remain unchanged.

c. Profit required = $ 5.17 x 10,000 = $ 51,700

Minimum selling price required = $ ( 51,700 + 218,500 + 27,700) / 10,000

= $ 29.79 per ball.

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ThreePoint Sports Inc. manufactures basketballs for the Women's National Basketball Association (WNBA). For the first 6 months of 2017, the company reported the following operating results while operating at 80% of plant capacity and producing 120,000 units.What is the minimum selling price on the special order to produce net income of 5.17 per basketball

please help it’s a emergency please please

Answers

Answer: 99 in²

Step-by-step explanation:

We can use the given formula for a triangular prism. We will substitute our known values and solve.

       Surface Area = length * base perimeter + (2 × base area)

       Surface Area = length * (1.5 in + 2 in + 2.5 in) + (2 × [tex]\frac{bh}{2}[/tex])

       Surface Area = 16 * (6 in) + (2 × [tex]\frac{(2\;in)(1.5\;in)}{2}[/tex])

       Surface Area = 16 in * (6 in) + (3 in²)

       Surface Area = 96 in² + 3 in²

       Surface Area = 99 in²

The children's reading room of a library is shaped like a triangle. Two perpendicular sides of the room measure 12 feet and 17 feet. What's the area of the room?
a.29 squared feet

b.102 squared feet

c.120 squared feet

d.204 squared feet

Answers

Answer: B 102

Step-by-step explanation: The perpendicular sides of the room tells us that it is a right triangle.

To find our the area of the triangle you use the formula [tex]\frac{base*height}{2}[/tex]base*height/2

We plug in 12feet and 17 feet for the base and height

We get [tex]\frac{12*17}{2}[/tex]

12 and 2 cancel out so our new equation is 6*17 squared feet

So our answer is 102 square feet

Meera can sell 1 jacket for $40, 2 jackets for $35 each, 3 jackets for $30 each, 4 jackets for $25 each, and 5 jackets for $20 each. Her marginal cost of production is constant at $20 for each additional unit (or jacket) produced. If she behaves like a monopolist, what is the number of jackets she will sell?
a. 1
b. 3
c. 4
d. 5

Answers

The number of jackets Meera will sell if she behaves like a monopolist is 3( option B).

To determine the number of jackets Meera will sell if she behaves like a monopolist, we need to compare the marginal revenue (MR) and marginal cost (MC) of producing and selling additional jackets. Meera can sell jackets at various price points depending on the quantity sold, but as she behaves like a monopolist, we consider the revenue and costs associated with a given production level.

From the pricing information given, we can determine her total revenue function, R(x), as follows:

- For 1 jacket, R(1) = 40

- For 2 jackets, R(2) = 70

- For 3 jackets, R(3) = 90

- For 4 jackets, R(4) = 100

- For 5 jackets, R(5) = 100

To determine her marginal revenue function, MR(x), we find the change in revenue from selling an additional jacket. From the data given, we can see that MR is not constant and decreases as the quantity sold increases. Specifically:

- For 1 jacket, MR(1) = 40 - 0 = 40

- For 2 jackets, MR(2) = 35 - 40 = -5

- For 3 jackets, MR(3) = 30 - 35 = -5

- For 4 jackets, MR(4) = 25 - 30 = -5

- For 5 jackets, MR(5) = 20 - 25 = -5

Meera's marginal cost of production is given as a constant $20 for each additional jacket produced, so MC(x) = 20 for all values of x.

To maximize her profits, Meera should produce and sell jackets up to the point where MR(x) = MC(x), which represents the level of production that equates the revenue from selling an additional jacket with the cost of producing that jacket. This happens at the output level of 3, where MR(3) = -5 = MC(3) = 20.(option-b)

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find exact value sin 9pie/ 4

Answers

The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

We have to given that;

Expression to find exact value is,

⇒ sin 9π/4

Now, WE can change it into degree as,

⇒ 9π/4

⇒ 9 × 180 / 4

⇒ 9 × 45

⇒ 405 degree

Hence, We get;

⇒ sin 9π/4

⇒ sin 405°

⇒ sin (360 + 45°)

⇒ sin 45°

⇒ 1 / √2

Thus, The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

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Guys my main account is gone i dont know why. Am I baned?

Answers

Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Children, students, and senior citizens being eligible for discounted movie tickets is an example of price discrimination. Is this an example of price discrimination? Explain the conditions necessary for price discrimination to occur and draw the graphs to describe this situation.

Answers

Yes, children, students, and senior citizens being eligible for discounted movie tickets is an example of price discrimination.

What is price discrimination?

When a merchant charges different rates to various groups of clients based on their willingness to pay, this is referred to as price discrimination.

Price discrimination requires market strength, definable client segmentation, and the capacity to avoid arbitrage among various groups.

Price discrimination is a sales approach in which the seller charges varying rates for the same product or service based on what the vendor believes the consumer would agree to.

See graph attached.

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