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11 months ago

What 3 numbers have 3 factors?.

Mathematics

1 answer:

Softa [21]11 months ago

3 0

We are aware that the numbers 4, 9, 25 and 49 are among those between 1 and 100 that have precisely three elements.

Given,

What number has three components?

In fact, the squares of primes are the only positive integers with precisely three factors. For instance, 1, 3, and 9 are the factors of 9, and 1, 7, and 49 are the factors of 49.

If a given number, such as x2, is perfect square, and its square root is prime, it must have precisely three different factors.

Here,

We are aware that the numbers 4, 9, 25 and 49 are among those between 1 and 100 that have precisely three elements.

1, 2, and 4 are the four factors. 1, 3, and 9 are the factors of 9.

Learn more about factors here;

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Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design f

matrenka [14]

Answer:

Options 2), 4), and 5) are correct

Step-by-step explanation:

Rock the House Digital Designs

Cost = $(500 + 50h)

Elegant Home Architects

Cost = $(75h)

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

Answer options:

1)The expression 50h represents the total charge for Rock the House Digital Designs.

Incorrect. Additional $500 charged.

2)The expression 75h represents the total charge for Elegance Home Architects.

Correct

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875

8 0

3 years ago

Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$