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horrorfan [7]
3 years ago
7

An object has a mass of 400 g and a volume of 25 cm3. Find the density of the object in g/cm3.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

density is equal to mass / volume

Step-by-step explanation:

mass / volume

400/25

16

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If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

m = (y2-y1)/(x2-x1)

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

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The perimeter of a rectangular window is 43 feet. The width of the window is 5 ft more than the length. Find the width of the wi
Greeley [361]

Answer:

  13.25 ft

Step-by-step explanation:

Let w represent the width of the window. Then w-5 represents the length, and the perimeter is ...

  P = 2(L+W)

  43 = 2((w-5) +w) = 4w -10

  53/4 = w = 13.25 . . . feet

The width of the window is 13.25 ft.

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