The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?
1 answer:
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<u>Let's first consider:</u><em> the fact that a new computer loses 1/2 of its value</em>
<em> </em> ⇒ <u>third choice</u> and <u>fourth choice</u> are <u>eliminated</u>
⇒ because of the graph project the computer's value as growing over
years
<u>Now let's try to set up an equation</u>:
After 1st year ⇒ Computer's value =
After 2nd year ⇒ Computer's value =
After 3rd year ⇒ Computer's value =
..... (<em>Hopefully you see a pattern)</em>
<em />
After x year ⇒ Computer's value =
<u>Therefore, the equation is</u>:
⇒that means the graph has to <u>exponentially decreasing</u> as it has
an exponent (<em>meaning the function is exponential</em>) and a base less
than 1 (<em>meaning that the function is decreasing)</em>
<u>Answer: Choice (1)</u>
<u></u>
Hope that helps!
Answer:
To get maximum area, the dimensions will be;
l = 200 and b = 100
Step-by-step explanation:
Given the data in the question;
No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.
now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x
as shown in the image below;
so,
Area of rectangle = (400 - 2x) × x = 400x - 2x²
now, to maximize area 'A', we will make A' = 0
⇒ 400 - 2(2x) = 0
400 = 4x
x = 400/4 = 100
so
⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200
∴ Maximum area = ( 400 - 2x) × x
= 200 × 100
= 20000 m²
∴ To get maximum area, the dimensions will be;
l = 200 and b = 100
