Answer:
Step-by-step explanation:
<u>Given data:</u>
- <u>x | 2 | 3 | 4 | 5 | 6 </u>
- y | 21 | 69 | 261 | 1029 | 4101
<u>Logarithms of y-values:</u>
- log 21 = 1.322
- log 69 = 1.839
- log 261 = 2.417
- log 1029 = 3.012
- log 4101 = 3.613
<u>The ordered pairs:</u>
- (2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)
<u>Using an online calculator found the equation of the regression line:</u>
<u>In our case it is:</u>
Answer:
a. √64=8
b. ∛1000=10
Step-by-step explanation:
64=8^2 Therefore, √64=8
1000=10^3 As a result, ∛1000=10
64=4^3 but each number can only be used once, so this is not possible answer.
Answer:
c = 208.8
Step-by-step explanation:
a.
<em>To solve for C, you need to get the variable on one side of the equation and the numbers on the other side of the equation.</em>
b.
<em>You need to move the 7.2 to the other side. So, </em><em>multiply</em><em> both sides by 7.2, because it's being divided, so multiplying will cancel it out.</em>
c:
<em>Then, multiply 7.2 by 29. (The * symbol means multiply)</em>
d. c. = 208.8 <em>The answer is 208.8, which is rounded to the tenths place.</em>
Hope this helps! I tried to explain it in detail. :)
Answer:

Step-by-step explanation:

<u>Remove parentheses:</u>

<u>Combine like terms:</u>






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let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75