<h3>
Answer: 6 cm^3</h3>
This is the same as saying 6 cubic cm
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Work Shown:
d = density = 4 g/cm^3
m = mass = 24 g
v = volume = unknown
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d = m/v
4 = 24/v
4v = 24 .... multiply both sides by v
v = 24/4 .... divide both sides by 4
v = 6 cm^3
<h3>
Answer: Choice D) y = cos(2x)</h3>
Explanation:
Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.
We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.
Since T = pi is the period, we then know that
B = (2pi)/T
B = (2pi)/(pi)
B = 2
Then recall that the general template is y = Acos(B(x-C))+D
In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)
If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x
Solve 10x = 4.1 for x. Divide both sides of this equation by 10: x = 4.1 / 10.
x = 0.41
Answer:
y = -7x + 33
Step-by-step explanation:
<u>Use the Point Slope Form: (y - y1) = m(x - x1)</u>
<u />
<u>Step 1: Find the Slope</u>
Slope = 
Slope = 
Slope = 
Slope = 
Slope = -7
<u>Step 2: Plug into the point slope form</u>
(y - 5) = -7(x - 4)
y - 5 + 5 = -7x + 28 + 5
y = -7x + 33
Answer: y = -7x + 33