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3 years ago

Explain the meaning of (0,0) on a coordinate plane

Mathematics

1 answer:

Volgvan3 years ago

7 0

(0,0) means the origin of the coordinate plane and its when bothe the x and y xoordinates are 0

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Initial value question help

ValentinkaMS [17]

Answer:

Initial amount of fish: 530

Population increase or decrease: decrease

Decrease rate: 92%

Step-by-step explanation:

P(t) = Size/population of fish after t years

t = numbers of years

Good luck! :D

7 0

3 years ago

30 POINTS PLEASE ANSWER ASAP. The Diagram shows the front wooden wall of the warehouse in the shape of a trapezoid with a rectan

jolli1 [7]

Answer:

900 sq ft

Step-by-step explanation:

The area of a trapezoid is (Base 1 + Base 2) * height/2. So to plug the numbers in...

(30+60)20/2

90*20/2

1800/2

900 sq ft

8 0

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

Really need help on #15 please.

ollegr [7]

Step-by-step explanation:

Let's call L the length and W the width. The length is 10 feet longer than the width, so:

L = W + 10

The area is the length times width, so:

119 = LW

Substituting:

119 = (W + 10) W

119 = W² + 10W

0 = W² + 10W − 119

0 = (W + 17) (W − 7)

W = -17 or 7

Since W must be positive, W = 7.

L = W + 10

L = 17

The length and width are 17 feet and 7 feet, respectively.

5 0

4 years ago

Solve for x and justify your answer

Scorpion4ik [409]

The answer is 51°.

The top two lines are parallel to each other. Therefore alternate interior angles theorem applies. The bottom right corner that is underneath the line (for lack of a better description) is also 58°.

We also know that a triangle equals 180°. So 58+71= 129°.

So to find that missing angle we subtract 129 from 180 to get the 51°.

3 0

3 years ago