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Volgvan
3 years ago
5

Need help! Can anyone please help me? It would be much appreciated. Please view the attached photo. Will mark as brainliest!

Mathematics
1 answer:
seraphim [82]3 years ago
6 0

Answer:

  B)  0.0073 mm/s

Step-by-step explanation:

The rate of change of area is the product of the circumference and the rate of change of radius:

  dA/dt = C·dr/dt

  dr/dt = (dA/dt)/C

Of course, C = 2πr, so ...

  dr/dt = (7 mm²/s)(2π·152 mm) ≈ 7/955.04 mm/s ≈ 0.0073 mm/s

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Widget Wonders produces widgets. They
navik [9.2K]
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
7 0
3 years ago
Can someone help me with this?
Mandarinka [93]

Answer:

Step-by-step explanation:

Area of rectangle = length * width

                             = (x + 4) (5x)

                             = x *5x + 4 *5x

                            = 5x² + 20x

Perimeter of rectangle = 2*(length + width)

                                     = 2*(x + 4 + 5x)

                                     = 2*(6x + 4)

                                   = 2*6x + 2 *4

                                     = 12x + 8

4 0
3 years ago
Can somebody plz help answer the rest of these questions correctly (only if u done this before) thx :3
kodGreya [7K]

Answer:

9. 16.34

10. 51.84

11. 20.11

12. 76.03

13. 64.09

just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)

4 0
2 years ago
What is 10 to the negative 8 power
raketka [301]

Answer:

0.000000001

Hope This Helps!  Have A Nice Day!!

5 0
3 years ago
Simplify the expression (6^2)^4.
Vlada [557]

Answer:

1679616

Step-by-step explanation:

36^4

7 0
3 years ago
Read 2 more answers
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