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3 years ago

How much its 5+3+3×15=

2 answers:

8 0

You can use PEMDAS to answer this, which in the context of this question, says that "Multiplication comes before addition"

So, if we follow that, we can take it step by step:
$5+3+3*15$
$5+3+45 = 8+45=53$

Thus, 5 + 3 + 3 × 15 = 53

AveGali [126]3 years ago

7 0

=5 + 3 + 3 * 15
do multiplication first
=5 + 3 + 45
=8 + 45
=53

ANSWER: 53

Hope this helps! :)

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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

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3 years ago

Read 2 more answers

If the die were to be rolled 6000 times, would we expect to obtain exactly 1000 '2's? explain your answer.

ludmilkaskok [199]

The probability of that occurring is 0%. There are 6 sides in a typical dice, which means the probability of rolling a 2 is 1/6th. (1/6)^1000 will give you the probability of rolling a 2 exactly 1000 times. (1/6)^1000 equates to 0%.

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2 years ago

Israel added $120 to his savings. This added amount represents 1/6 of his total savings. If s represents the total savings, whic

oee [108]

Calculista Ambitious

the correct question in the attached figure

Let

s----------> total savings

case a) Israel added $80 to his savings

we know that

80=(1/8)*s-------> multiply by 8 both sides------> s=$640

the answer case a) is

the equation is

80=(1/8)*s

case b) Israel added $120 to his savings

we know that

120=(1/8)*s-------> multiply by 8 both sides------> s=$960

the answer case b) is

the equation is

120=(1/8)*s

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Answer:

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations". ... A reflection is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

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