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Taya2010 [7]
3 years ago
9

3X+[-1 -2] = [-13 -2] 10 -7 -5 14

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

x= −668/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−1−2=(−13−2)(10)−7−514

3x+−1+−2=−150+−7+−514

(3x)+(−1+−2)=(−150+−7+−514)(Combine Like Terms)

3x+−3=−671

3x−3=−671

Step 2: Add 3 to both sides.

3x−3+3=−671+3

3x=−668

Step 3: Divide both sides by 3.

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An engineer designs a new cargo ship to transport 12,000 standard shipping containers. The ship's cargo hold and a shipping cont
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Answer:

Vol=450,000m^3

Step-by-step explanation:

Volume of rectangular prism is obtained using the formula:

V=whl\\w-width\\h-height\\l-length

Dimensions of shipping containers is given as:

w=2.5m\\h=2.5m\\l=6m\\

To obtain the volume of the cargo ship, we need to calculate the volume of 1 unit of a shipping container then multiply it by the number of containers the ship can carry.

let n be the number of containers ship can carry.

V_c=whl\\V_c=2.5m\times2.5m\times6m\\V_c=37.5m^3\\

Volume of ship,V_s

V_s=nV_c

But n=12000

V_s=12000\times37.5m^3\\=450,000m^3

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3 years ago
How to enter a vertical line on a graphing calculator?
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5 0
4 years ago
Write a cosine function that has an amplitude of 5, a midline of 2 and a period of \frac{2\pi}{5} 5 2π ​ .
vlabodo [156]

Answer:

f(x) = 5*cos(5*x) + 2

Step-by-step explanation:

A general cosine function is written as:

f(x) = A*cos(ω*x) + M

where:

A is the amplitude

M is the midline

ω is the angular frequency.

In this case we know that:

The amplitude is 5, then A = 5

The midline is 2, then M = 2

The period is 2*pi/5

The relation between the angular frequency ω and the period T is:

ω = 2*pi/T

Then if the period is T = 2*pi/5, replacing that in the above equation we find that:

ω = 2*pi/T = 2*pi/(2*pi/5) = 5

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Then the function is:

f(x) = 5*cos(5*x) + 2

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3 years ago
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6 0
3 years ago
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Kala's chocolate bar is 61% cocoa. If the weight of the chocolate bar is 62 grams, how many grams of cocoa does it contain? Roun
USPshnik [31]

Answer:

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Step-by-step explanation:

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62 grams * 0.61 = 37.82

Rounded to the tenth is 37.8

6 0
3 years ago
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