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Julli [10]
3 years ago
10

4. Simplify the expression

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

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Compute the directional derivative of the function g(x,y)= sin(π(x−5y)).
e-lub [12.9K]

Answer:

Step-by-step explanation:

The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function

g(x,y) = sin(π(x−5y)

∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))

(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]

(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]

∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j

∇g = π [cos (π(x−5y))] [î - 5j]

So, the question requires a direction vector and a point to fully evaluate this directional derivative now.

8 0
3 years ago
You don't have to draw a line you can just type the volumes in terms of PI and just normal.
Nikolay [14]
Dill pickle 10.6^ units
3 0
3 years ago
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Consider the probability that exactly 95 out of 153 people have not been in a car accident. Assume the probability that a given
sattari [20]

Answer:

Step-by-step explanation: it's about 1% of the population world that is of car accident

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3 years ago
PLEASE HELP
Iteru [2.4K]

Answer:

28.574

Step-by-step explanation:

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Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b
joja [24]
Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
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Factor:
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Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8
4 0
3 years ago
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