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irga5000 [103]
4 years ago
14

a cylindrical hole of a radius 4 cm and depth 3 cm has been drilled into a base show that the volume of wood used to produce the

shape is 120 pie cm cubed
Mathematics
1 answer:
Naily [24]4 years ago
4 0

Answer:

Uhhhh

Step-by-step explanation:

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B = {(0.5k–5, 10), (k+7, 4)} solve for k
Paul [167]

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

√x+2=3

−4+y=3y+4(y−3)

2+|3x|=2+3

4 0
2 years ago
Drag the numbers to the correct locations on the image. Not all numbers will be used.
NikAS [45]

Answer:

First Column: 8

Third Column: 24

Fourth Column: 4

Fifth Column (from top to bottom): 32; 0

This means that:

(3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4

Step-by-step explanation:

We can perform synthetic division when we divide a polynomial P(x) by a binomial in the form of (x - a).

When doing so, the number that goes to the very left of our structure will be the constant a.

We fill the first row with the coefficients of each term.

We are dividing 3x^3-25x^2+12x-32 by x-8.

So, a = 8.

Therefore, for the first column, the number there is 8.

The second column has been filled out.

For the third column, we multiply the previous number by our <em>a. </em>

The previous number is 3. 3(8) is 24.

So, the number in the third column is 24.

(And we add 24 to -25 to acquire -1).

So, for the fourth column, we will add the two numbers to acquire (12 - 8) = 4.

Hence, the number for the fourth column is 4.

For the fifth column, the top box, it will again be the previous number multiplied by our <em>a</em>.

The previous number is 4. 4(8) is 32.

So, the number in the top box of the fifth column is 32.

And when added to -32, it equates to 0. Hence, the second box of the fifth column is 0.

This means that:

(3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4

4 0
3 years ago
Read 2 more answers
patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels an
yuradex [85]

Answer:

30

Step-by-step explanation:

4 0
2 years ago
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W
MAXImum [283]
I believe #2 would be the best answer. Either that or #1.
5 0
4 years ago
Read 2 more answers
Penelope invested 60% of her retirement account in stocks and 40% in gold. Penelope believes that the return to stocks over the
hjlf

Answer:

1) mean = 21, standard deviation σ = 21.9317

2) the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591

Step-by-step explanation:

 Given the data in the question;

1. According to Penelope's beliefs, what are the mean rate of return and the standard deviation of return of her portfolio?

Mean μ = Return = ( 60% × 15) + ( 40% × 30 ) = 9 + 12 = 21

mean = 21

standard deviation σ = √( (0.6² × 25²) + ( 0.4² × 40² ) )

standard deviation σ = √( (0.36 × 625) + ( 0.16 × 1600 ) )

standard deviation σ = √( 225 + 256 )

standard deviation σ = √481

standard deviation σ = 21.9317

2)  What is the probability that Penelope's portfolio will earn at least 12% in the next 12 months

so we are to find P( X > 12 )

converting into standard normal variable;

⇒ P( Z  > X-μ  / σ  )

= P( Z  > ( 12-21  / 21.9317  ) )

= P( Z  > ( -9 / 21.9317  ) )

= P( Z  > -0.41 )  

FROM z-score table; P( Z  > -0.41 ) is 0.3409

P( X > 12 ) = 1 - 0.3409

P( X > 12 ) = 0.6591

Therefore,  the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591

3 0
3 years ago
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