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3 years ago

90 PTS! Solve the system of equations below by graphing.

Mathematics

2 answers:

Mice21 [21]3 years ago

5 0

Answer:

1. x= 0.56+2

2. y=x2−3x−1

Step-by-step explanation:

geniusboy [140]3 years ago

3 0

Answer:

1. x= 0.56+2

2. y=x2−3x−1

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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

1. a. Write the six trigonometric ratios for the given angle with<br> measure 0

trasher [3.6K]

Answer:

Sin 5/13

Cos 12/13

Tan 5/12

Csc 13/5

Sec 13/12

Cot 12/5

Step-by-step explanation:

4 0

3 years ago

Which solution set is graft on the number line

vfiekz [6]

Answer:

x < 1

Step-by-step explanation:

an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then

x < 1 (thats a less then sign only) ....no equal sign in there

4 0

2 years ago

Read 2 more answers

Which expression is equivalent to 7a^3(6a^2+a^2)-4a^6?

Thepotemich [5.8K]

Simply simplify:

7a³(7a²)-4a^6 ⇒ 49a^6 - 4a^6 ⇒ 45a^6

Hope that helps!

3 0

3 years ago

mrs.jarvis made 49 long sleeved blouses for the girls choir she sews 11 buttons on the front panel and 2 buttons on each sleeve

Alchen [17]

Answer:

she will need 735 buttons.

Step-by-step explanation:

11+2+2=15 buttons for each blouse

15x49=735 buttons total

8 0

3 years ago