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BabaBlast [244]
3 years ago
5

a manufacturing plant finds that 4 out of every 335 items it makes has a defect. let x represent yhe number of items made. enter

an expression for the number of items that have a defect.
Mathematics
1 answer:
kozerog [31]3 years ago
5 0
Y=83.5x they way i got this is i took 335 and divided it by 4


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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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3 years ago
Take a point O on your notebook and draw circles of 3.6 cm, 4.5 cm and 5.3 cm , each having the same centre O.​
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Answer:

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3 0
3 years ago
Read 2 more answers
Write a relationship for a function whose k(x) values are 5 more than four times the principal square root of x .
bearhunter [10]

Answer:

k(x)=5+4\sqrt{x}

Step-by-step explanation:

Write a function whose k(x) values are 5 more than four times the principal square root of x.

So,

the principal square root of x =\sqrt{x};

four times the principal square root of x =4\sqrt{x};

5 more than four times the principal square root of x =5+4\sqrt{x};

Thus,

k(x)=5+4\sqrt{x}

4 0
2 years ago
I need the steps to this question.
yanalaym [24]

im not sure but maybe look up how to calculate volume of a cone.. then go from there :D

3 0
3 years ago
Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south. He is not sure where to point hi
GrogVix [38]

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as

VR = 20, 699 m/s South

<h3>What is the heading he should have and the velocity of the broom with respect to the ground?</h3>

Divide horizontal and vertical components of Vs and Vw vectors

For Vs

Vs = Vs cos∅ [s] + Vs Sin∅ [w]

Vs = 18 Co58 [s] + 18 sin∅ [w]

For Vw

Vw = Vw Cos 55' [s] + Vw Sin 55 [E]

5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]

Vw = 3.3458 [s] + 4.7783 [E]

Resultant velocity VR = Vs + Vw

VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)

VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]

(Harry Potter) flies south

18sin∅ - 4.7783 18=0

Hence

Sin∅ = 4.7783 18/18

∅ =sin{-1}(4.7783 18/18)

∅  = 15.3943

Harry Potter flies in the direction south to ∅ = $15.3943w]

Hence  velocity

VR = (18 cos∅   + 35452) s + 0

VR = (17.3541 +3-3458) s

VR = 20, 69999 m/s South

Read more about Co-ordinate

brainly.com/question/4511664

#SPJ1

3 0
1 year ago
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