Answer: Choice B
Open circle at 3. Shading to the right
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Work Shown:
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30
24 + 30 < 6x + 12x
54 < 18x
18x > 54
x > 54/18
x > 3
We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.
Answer:
A. 2 and-6
Step-by-step explanation:
Like terms are terms that contain the same variables raised to the same powers. In other words, they have the same variables with the same exponents.
So in option A, we have the terms 2 and -6. These terms are not like terms because they do not have the same variables.
Answer: everything EXCEPT 5(n-30)
Step-by-step explanation:
The "k" value should have units and should be negative.
k = -.07 / seconds
Half-Life = ln (.5) / k
Half-Life = ln (.5) / -.07
Half-Life = -.693147 / -.07
Half-Life = 9.9 seconds
(actually, wkpedia says half-life of Krypton 91 is 8.57 seconds)
elapsed time = half-life * log (bgng amt / end amt) / log (2)
elapsed time = 9.9 * log (100 / 10) / 0.30102999566
elapsed time = 9.9 * 1 / 0.30102999566
<span><span>elapsed time = 9.9 * 3.3219280949
</span>
</span><span><span><span>elapsed time = 32.8870881395
</span>
</span>
</span>
<span>elapsed time = 32.89 seconds (rounded)
Source:
http://www.1728.org/halflife.htm
</span>
Answer:
2,144.7
Step-by-step explanation:
The formula for the volume of a sphere is V=4pi r^3/3. Lets apply this formula for your sphere. The radius is 8, so lets plug in 8 in our formula. 4pi 8^3/3. Now, lets solve. 4 times pi. What is pi? We usually think of pi as 3.14. 4x3.14 is 12.56. Now, lets do 8^3/3. 8 times 3 is 512, and divided by 3 is 170.67. Alright, now we have 12.56 times 170.67. That is 2144.7 rounded to the nearest tenth.
