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umka21 [38]
4 years ago
10

What's the next three numbers in this inductive reasoning pattern 10,7,4,1

Mathematics
1 answer:
pentagon [3]4 years ago
3 0
10, 7, 4, 1, -2, -5, -8
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a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di
Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

7 0
1 year ago
What is: <br><br><br> -24 - (-64)
Triss [41]

Answer:

40

Step-by-step explanation:

Calculator.

6 0
3 years ago
Read 2 more answers
Giovanni bought 30 shares of Stock XYZ at the close price of $6.31. He
My name is Ann [436]

Answer:

Use the explantion to answer your question

Step-by-step explanation:

Amount he paid for first 20 shares

= $25 + (20 x $10.51)

= $25 + $210.20

= $235.20

Amount he paid for next 20 shares

= $25 + (20 x $8.93)

= $25 + $178.60

= $203.60

Thus, total amount paid

= $235.20 + $203.60

= $438.80

5 0
3 years ago
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What is the median?<br> -2 -3 8 -6 -9
mars1129 [50]

Answer:

-3

Step-by-step explanation:

its the middle number so you put them in order and get the ndeswer just whatevers in the midde

-9 -6 -3 -2 8

8 0
3 years ago
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If angles P and Q are supplementary angles, which of the following must always be true?
user100 [1]

Answer:

180

Step-by-step explanation:

for two angles to be supplementary, their sum must be equal to 180°

6 0
3 years ago
Read 2 more answers
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