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2 years ago

Choose the model that shows the correct answer to this problem: PLS ANSWER WILL GIVE BRAINIEST

Mathematics

1 answer:

Vinil7 [7]2 years ago

8 0

Answer:

the last option is correct

Step-by-step explanation:

2/3 × 3/5

= (2 / 3×5) × (3 / 5×3)

= ( 2/ 15) × (3/15)

= ( 6/15) parts should be coloured

because it have 6/15 parts coloured

the last option is correct

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Q. Find the measure of QR

Vika [28.1K]

Answer: 22

Step-by-step explanation:

By the triangle midsegment theorem, QR=2(US)=2(11)=22.

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2 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

Find the common ratio of the sequence -80,20,-5,1.25

Xelga [282]

Okay well here's what I got.

Hoped It Helped

:)

4 0

3 years ago

An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest

Mnenie [13.5K]

Basically, 27.7% of 970 is 268.69 grams, if 13 minutes so i’m pretty sure it’s 268.69 X 13 = 3492.97, it cannot be deduced from 970 unless it became −2522.97, is that the answer ur looking for?

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2 years ago

Three times the difference between eighteen and thirteen

olchik [2.2K]

3*(18-13)
3* 5
15

The answer is 15

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3 years ago