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2 years ago

Ejercicio1:

Mathematics

1 answer:

Lemur [1.5K]2 years ago

5 0

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT = 15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700

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Wha is ecology???? ::-P

maks197457 [2]

Answer:

the branch of biology that deals with the relations of organisms to one another and to their physical surroundings.

Step-by-step explanation:

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3 years ago

Simplify the following expressions by distributing ( Its three questions by the way)

horrorfan [7]

Answer:

-4w+32

-10p+40

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Step-by-step explanation:

distribute

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3 years ago

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

3 years ago

Read 2 more answers

Write the explicit<br> rule for the nth term.<br> Then find a71.<br> {O, -8, -16, -24 ...}

yulyashka [42]

Answer:

Step-by-step explanation:

{0, -8, -16, -24,...} here you add -8 each time so the rule is

$a_{1} = 0, a_{n} = a_{n-1} -8$

the 71 term is

$a_{71} = 0 + (71 - 1) * (-8) = 70 * (-8) = -560$

3 0

3 years ago

Square root of 50 + square root of 18

skelet666 [1.2K]

if ya asking for simpliicatio

remember that $\sqrt{ab}=(\sqrt{a})(\sqrt{b})$

and

$\sqrt{a^2}=(\sqrt{a})(\sqrt{a})=a$

$\sqrt{50}+\sqrt{18}=$

factor

$(\sqrt{2})(\sqrt{5})(\sqrt{5})+(\sqrt{2})(\sqrt{3})(\sqrt{3})=$

$(\sqrt{2})(5)+(\sqrt{2})(3)=$

$5\sqrt{2}+3\sqrt{2}=$

$8\sqrt{2}$

5 0

3 years ago