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3 years ago

10^-2 x 6^-2 please help

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

7 0

Answer:

1/3600

Step-by-step explanation:

10^-2=1/100

6^-2=1/36

(1/100)*(1/36)=1/3600

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Does the graph represent a function? Pls help

serious [3.7K]

Answer:

Yes

Basically a scatter plot is a type of function.

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4 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

how much interest will roxanne have to pay if she borrows $3,000 for 3 years at a simple interest rate of 2%

Darya [45]

Simpe interest rate = PRT/100
— ( principal x rate x time ) / 100

$3,000 is the principal
3 years is the time
2% is the rate

so, PRT/100
(3,000 x 3 x 2) / 100
= $180

Answer : $180

4 0

4 years ago

What’s the identity property of addition?

Novosadov [1.4K]

Answer:

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.

Step-by-step explanation:

4 0

3 years ago

If i multiply by 5 and subtract 63 i get the same answer if i multiply 3 and subtract 11 is the answer 26

aev [14]

Yes

26 x 5 - 63 = 67

26 x 3 - 11 = 67

3 0

3 years ago