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Nonamiya [84]
3 years ago
13

The mass of the part of a metal rod that lies between its left end and a point x meters to the right is 3x^2 kg. Find the linear

density when is 1 m, Where is the density the highest? The lowest?
Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer

6 kg/m

Step-by-step explanation:

The linear density is said to give the way the mass is changing it's position and it's a derivatives of mass m here which is differenciated with respect to x position

Given

mass m = 3x^2.

Density ρ= dm/dx =6x

Then if we substitute x=1 into above expresion we have

ρ(1) =6 Kg/m

ρ= 6Kg/m

Hence this is how fast is the mass changing at that position.

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Your company is considering submitting a bid on a major project. You determine that the expected completion time is 130 weeks an
Olenka [21]

Answer:

Option C) 146.5

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 130 weeks

Standard Deviation, σ = 10 weeks

We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X<x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 130}{10})=0.95  

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 130}{10} = 1.645\\x = 146.45 \approx 146.5  

The project should be completed in 146.5 weeks or less.

Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.

7 0
3 years ago
Find the unknown side length for the triangle. Area = 18 cm² A. 9 cm B. 14 cm C. 18 cm D. 36 cmFind the unknown side length for
Nataliya [291]
The answer would be A. 9cm
5 0
3 years ago
Can you help with these two questions I'm having hard times in math
Veseljchak [2.6K]
Sure, here are what I got for those 2 questions:

16.
No, the Rockets' ratio was 1:3 whereas the Turbo's was 4:9.

17.
They make 33.3333% of free throws, so if they attempted 12, they would make 4 because 1/3 x 12 = 4.
5 0
3 years ago
Can someone please help me it was my last question I really need help please help me
kobusy [5.1K]

Really ? ?

Price per inch has the units of  "price/inch".  See that ?  It comes from dividing 'price' by 'inches'.

Price = $7.56

Inches = don't know;

... but we know it's 7 feet, and every foot has 12 inches in it

... so there are (7 x 12) = 84 inches of ribbon.

Price per inch = ($7.56) / (84 inches)

Prince per inch = (7.56/84) (dollars/inch)

Now, YOU go ahead and do the division to get the final answer.

8 0
3 years ago
Im confused on this question on how to solve it​
Yakvenalex [24]

Answer:

9/4

Step-by-step explanation:

see image

2/3 is 2 × 1/3.

We can separate the exponent into 1/3 power raised to the 2nd power. 1/3 power is the same as cube root.

27 and 8 are both perfect cubes. 3^3 and 2^3.

Thats how you go from 27/8 to 3/2.

Then square it.

see image.

7 0
3 years ago
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