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meriva
3 years ago
9

Can someone please help

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

9514 1404 393

Answer:

  (c)  graph is a line through the origin

Step-by-step explanation:

The equation ...

  y = kx

represents a proportional relationship between x and y. Its graph is a line through the origin. The value of k can be positive or negative. In this question, the value of k is 1/2.

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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
Ribbon A is 1/3 meters long. It is 2/5 meters shorter than ribbon b. What's the total length of 2 ribbons?
Pavel [41]
1/3+2/5=5/15+10/15
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4 0
4 years ago
In this figure what is m 5?​
Harlamova29_29 [7]

Answer:

m<5 = 95 degrees

Step-by-step explanation:

Let's first find m<1

=> m<1 = 180-85

=> m<1 = 95 degrees

Since,

m<1 = m<5 (Corresponding angles)

So,

m<5 = 95 degrees

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Step-by-step explanation:

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3 years ago
The diagram shows triangle ABC.
const2013 [10]

Answer:

Step-by-step explanation:

5 0
2 years ago
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