A cereal box is 8 1/2 inches long, 4 1/2 inches wide, and 12 inches high. What is the volume of the box
1 answer:
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<h3>Answer is 0</h3>
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Explanation:
Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.
If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.
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Or put another way,
8^x = 1
8^x = 8^0 ... replace the 1 with 8^0
x = 0 ... the bases are equal (to 8) so the exponents must be equal
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You can use the change of base formula to directly calculate this log
The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.
<h3>What is the dimension of length and width?</h3>We know that,
P = l + 2w
50 = l + 2w
50 - 2w = l
A = l x w
288 = (50 - 2w)w
288 = 50w -2w²
2w² - 50w + 288
By dividing throughout by 2
w² - 25w + 144
This is in quadratic equation form.
By applying quadratic formula,
w = (-(-25) ± ) / 2
w = (-(-25) ± 7)/2
w1 = (-(-25) + 7)/2
w1 = (25 + 7) / 2
w1 = 16
w2 = (-(-25) - 7)/2
w2 = (25 - 7) / 2
w2 = 9
By substituting the values in eq1,
A = l x w
if w = 16
288 = l x 16
l = 288/16
l = 18
if w = 9
288 = l x 9
l = 288/9
l = 32
The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.
To learn more about area of rectangle refer to :
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