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3 years ago

Hello can anyone please help me with this assignment it’s due tomorrow please and thanks !

Mathematics

1 answer:

snow_lady [41]3 years ago

8 0

Answer:

PART 2,4,6 are not solvable since they do not have any number

Part 1

1 = 61

2 = 119

3 = 61

4 = 119

5 = 61

6 = 119

7 = 61

8 = 119

Part 3

1 = 128

2 = 52

3 = 128

4= 52

5 = 128

6 =52

7 = 128

8 =52

Part 5

1 = 135

2 = 45

3 = 135

4 = 45

5= 135

6= 45

7=135

8= 45

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Answer:

I wasn't sure how you're supposed to answer, so the answers for each scenario are in the explanation!

Step-by-step explanation:

$A=\pi r^{2}$

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From here, there can be a few different answers:

The exact answer is A=36π inches^2.

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3 years ago

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Operations like +, - separates the terms.
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3 years ago

Find the value of x

riadik2000 [5.3K]

Answer:

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Step-by-step explanation:

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2 years ago

Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).

Paladinen [302]

Answer:

Rate of change = 18/√74

Step-by-step explanation:

The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v

Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;

∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)

So;

∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))

This gives;

∇g(1, 1, 2) = (3, 7, 4)

Now,

||∇g(1, 1, 2)|| = √(3² + 7² + 4²)

||∇g(1, 1, 2)|| = √74

Normal vector would be given by the formula;

v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]

Thus;

v = (3, 7, 4)/√74

Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)

Thus, rate of change is given by;

∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74

This gives;

Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74

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3 years ago

Kayaks rent for $35 per day. Write an expression using the Distributive Property that can help you find the cost in dollars of r

MA_775_DIABLO [31]

Answer:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 miles per hour or 3 meter per seconds.

As per the given statement:

Kayaks rent for $35 per day.

⇒Unit rate per day = $35

We have to write an expression that can help you to find the cost in dollars of renting 3 kayaks for a day:

Cost in dollars for 3 kayaks for a day = $ $3 \times 35$

The Distributive property says that:

$a\cdot (b+c) = a\cdot b+ a\cdot c$

we can write 35 as: 30 + 5

then;

$3 \times 35 = 3 \times (30+5) =(3 \times 30)+ (3 \times 5) = 90 + 15 = \$105$

Therefore, a expression that can help you to find the cost in dollars of renting 3 kayaks for a day is $(3 \times 30)+ (3 \times 5)$

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3 years ago

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