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3 years ago

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Mathias and Roman are discussing how to simplify the following expression: 7ba3+9a2-9(79a3b-59a2+2ab2). They are writing an equi

valent expression before and after combining like terms. Select all the possible solutions they obtained in the process.

1 answer:

levacccp [35]3 years ago

3 0

Answer:

Step-by-step explanation:

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Solve (x – 4)2 = 5.<br><br> Plz hurry I need to finish this semester

mixas84 [53]

Answer: 6.5

6.5 -4 = 2.5

2.5 x 2 = 5

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Monroe Reservoir, it cost $25 per hour plus $100 deposit to rent a pontoon boat. a. Write an equation that describes the cost c,

makkiz [27]

C = 25h + 100 ......renting for 2 hrs...sub in 2 for h
c = 25(2) + 100
c = 50 + 100
c = 150 <===

if u spend 325...so sub in 325 for c
325 = 25h + 100
325 - 100 = 25h
225 = 25h
225/25 = h
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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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Please help. Evaluate this.

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

i dont even know thats hard

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3 years ago

Ok I'm doing home work and need to show why 1/2 of 60 is not the same as 1/2 of 24 please help! It will give you 24 points.

Tems11 [23]

Simple,

1/2 of 60

re-write it as 0.5 of 60 aka 0.5*60

which is 0.5*60=30

Do the same with 1/2 of 24.

0.5 of 24

0.5*24=12.

Thus, it's not the same because they are different numbers and different number give you different answers.

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3 years ago