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Gelneren [198K]
3 years ago
5

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0

Answer:

33 chairs

Step-by-step explanation:

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Surface area of a cylinder with a radius of 7cm and a height of 12​
Keith_Richards [23]

Answer:

CSA = 2 * pi * r * h

Step-by-step explanation:

CSA = 2 * 22 * 7 * 12 / 7

= 2 * 22 * 12

528 cm ^3

7 0
3 years ago
Read 2 more answers
What numbers would you multiply -3/4 by to equal 1?
Sonja [21]
You would multiply by -4/3. That's cuz to get to 1, you have to cancel out the negative, with another negative. You then have to multiply by the reciprocal. 

Hope this helps! 
7 0
3 years ago
Please help i’m sorry!!! 15 points again!
morpeh [17]

Answer:

Guess I'll agree with the other person.

Step-by-step explanation:

7 0
2 years ago
The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term
irinina [24]

Answer:

The required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

5 0
3 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

7 0
3 years ago
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