Answer:
The quadratic equation is x^2 -12x -120 = 0
where x represents the length of the field
Step-by-step explanation:
We want to make an expression in terms of a quadratic equation;
Let the length of the field be x mm , then the width will be (x-12) mm
Mathematically , the area of the field will be L * B
Thus;
x * (x-12) = 120
That gives;
x^2 -12x = 120
x^2 -12x -120 = 0
16 + 4x = 10 + 14
16 + 4x = 24.
4x = 24 - 16
4x = 8
x = 8 ÷ 4
x = 2
8x = 2 × 8
8x = 16
Final answer = 16.
Answer:
The gas pump filling the gallons in 1 minute will be: 15
Step-by-step explanation:
- Given that a gas pump fills 2^-2 gallon of gasoline per second.
As there are 60 seconds in 1 minute.
Thus,
Gas pump filling the gallons in 1 minute will be:

∵ 





gallons in one minute
Therefore, the gas pump filling the gallons in 1 minute will be: 15
Answer:
- as written, c ≈ 0.000979 or c = 4
- alternate interpretation: c = 0
Step-by-step explanation:
<em>As written</em>, you have an equation that cannot be solved algebraically.
(32^2)c = 8^c
1024c = 8^c
1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero
A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.
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If you mean ...
32^(2c) = 8^c
(2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2
2^(10c) = 2^(3c) . . . . . . . simplify
10c = 3c . . . . . . . . . . . . . .log base 2
7c = 0 . . . . . . . . . . . . . . . subtract 3c
c = 0 . . . . . . . . . . . . . . . . divide by 7
Hanukkah, because that is what holiday it is used for. (Though I'm Christian and I don't know what the heck a creche is) but it says Christmas, so yeah. Hanukkah.