Answer:
9x -2
Step-by-step explanation:
(7x + 3) + (4x - 1) - (2x + 4)
Distribute the minus sign
(7x + 3) + (4x - 1) - 2x - 4
Combine like terms
7x+4x-2x +3 -1-4
9x -2
Answer:
<em>$180.</em>
Step-by-step explanation:
First lets find the <em>interest rate.</em>
<em>6.1 ÷ 100 = 0.061</em>
<em>0.061 x $200 = 12.2</em>
based on the calculations, <em>12.2</em> is our interest rate <em>in a year</em>. Now lets find the interest rate in <em>15 years</em>.
<em>12.2 x 15 = $183 </em>
So <em>$183</em> is our<em> precise</em> interest rate in <em>15 years</em>, but lets<em> round the interest rate to the nearest 10 dollars.</em> Therefore, <em>$180 is our answer.</em>
The ratio of volumes is equal to the ratio of the cubes of the scale factor. Thus,
Volume ratio:
6³ : 7³
216 : 343
Part a)
Answer: 5*sqrt(2pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi
Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"
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Part b)
Answer: 3*sqrt(3pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi
Note: the same issue comes up as before in part a)
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Part c)
Answer: sqrt(19pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
I think 3 but im not real for sure
