Here is the working and the answer
Answer:
The missing exponent is 20.
Step-by-step explanation:
upper exponent minus lower exponent.
Answer:
The area of the rectangle is 2820 square inches. The length is 60 inches. The width is 47 inches.
Step-by-step explanation:
Since we know the equation to find the width, we have to set them both to the perimeter of 90 inches. We will use the variable <em>x</em> to represent the length.
<em>x + x - 30 = 90</em>
<em>2x - 30 = 90</em>
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You would then subtract 30 from both sides.
<em>2x = 60</em>
Divide by 2 on both sides, finding that the length (x) is 30 inches.
<em> x = 30 inches.</em>
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Then, subtract 13 inches from the length to find your width.
<em>60 - 13 = 47 inches</em>
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To find your area, you would multiply both of your factors (length and width) together.
<em> 60 x 47 = 2,820</em>
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And those are your answers!
Answer:
15.33mg
Step-by-step explanation:
Given the number of plants in a terrarium is given by the function
P(c) = -1.2c^2 + 4c + 12
At the hihest number of plants produced, dP(c)/dc = 0
dP(c)/dc = --2.4c + 4
0 = -2.4c + 4
2.4c = 4
c = 4/2.4
c = 1.67
To get the highest number of plant produced, we will substitute c = 1.67 into the original function
P(c) = -1.2c^2 + 4c + 12
P(1.67) = -1.2(1.67)^2 + 4(1.67) + 12
P(1.67) = -3.34668 + 18.68
P(1.67) = 15.33332
Hence the amount of plant food that produces the highest number of plants is 15.33mg (round to the nearest hundredth).
