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2 years ago

PLS HELP.

Mathematics

2 answers:

Kisachek [45]2 years ago

3 0

Answer:

$(q-3p)

Step-by-step explanation:

1 book cost: $p

3 books cost:$p×3=$3p

Amount paid: $q

amount of change he will receive=$(q-3p)

NikAS [45]2 years ago

3 0

Answer:

Q - P

Step-by-step explanation:

I think that is what it is, it is my blank answer but i think it is that because he pays the cashier $Q and the book is $P, we know Daniel the big fat nerd wants to buy the book so he has enough (obviously)

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Complete the following exercises by applying polynomial identities to complex numbers. Factor x2 + 64. Check your work. Factor 1

Mumz [18]

$x^2+64=x^2-(8i)^2=(x-8i)(x+8i)$

$16x^2+49=(4x)^2-(7i)^2=(4x-7i)(4x+7i)$

$(x+9i)^2=x^2+2x\cdot9i+(9i)^2=x^2+18xi+81i^2=x^2+18xi-81=x^2-81+18xi$

$(x-2i)^2=x^2-2x\cdot2i+(2i)^2=x^2-4xi+4i^2=x^2-4xi-4=x^2-4-4xi$

$(x+(3+5i))^2=x^2+2x(3+5i)+(3+5i)^2\\\\=x^2+6x+10xi+3^2+2\cdot3\cdot5i+(5i)^2\\\\=x^2+6x+10xi+9+30i+25i^2=x^2+6x+10xi+9+30i-25\\\\=x^2+6x+10xi+30i-16=x^2+6x-16+(10x+30)i$

$Used:\\i^2=-1\\\\a^2-b^2=(a-b)(a+b)\\\\(a+b)^2=a^2+2ab+b^2$

4 0

3 years ago

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Rick was given a 15% tip waiting on a table of customers who ordered $60.00 in food and drinks. How much did Rick earn in tips f

vfiekz [6]

Answer:

Step-by-step explanation:

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2 years ago

The curved part of this figures is a semicircle.

vovangra [49]

First we join the two endpoints of the semicircle and that will be the diameter.

And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .

SO we get

$Diameter = \sqrt{ {-4-3)^2 +(-2-2)^2 } = \sqrt{49+16} = \sqrt 65$

Radius is half of diameter, so the radius is

$Radius= \frac{ \sqrt{65}}{2}$

Formula of area of circle is

$Area = \pi r^2$

So the area of semicircle is

$=(1/2) \pi ( \frac{ \sqrt{65}}{2})^2 = 8.125 \pi \square \units$

And the other figure is a triangle, with

$Base = 3-(-4)=3+4=7 \\ height = 2-(-2) = 2+2 =4$

$Area = (1/2)*4*7= 14 square units$

Therefore, total area is the sum of area of semicircle and area of triangle,

And we will get

$Total \ area= 14 + 8.125 \pi \ units^2$

Correct option is the third option .

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3 years ago

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The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the

sukhopar [10]

Answer:

58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

30² = 7.5 +b²

b² = 900 -56.25 = 843.75

b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

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1 year ago

What may happen if a large number of computer users are attempting to access a Web site at the same time that you are?

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The web site is going to load slower because everyone is trying to access it and the internet is getting used more and more

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3 years ago

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