Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
I think that using <span>t=<span><span>¬b</span><span>2a</span></span></span> is easiest; <span>a=¬16</span> and <span>b=24</span>. We simply plug these values in, simplify for the t value for the time, and then insert this value into <span>h(t)</span><span> for the height at t.</span>
Answer:
![-4d](https://tex.z-dn.net/?f=-4d)
Step-by-step explanation:
We can subtract a term from another if they have the same variable. Both
and
have the variable
, so we can subtract them.
When subtracting these terms, we subtract the coefficients and keep the variable.
So:
![3d - 7d = 3-7(d) = -4d](https://tex.z-dn.net/?f=3d%20-%207d%20%3D%203-7%28d%29%20%3D%20-4d)
Hope this helped!
When being given a set of numbers to order, the first thing to check is if they are all in the same format. In this problem, you are given numbers that are both percents, fractions, and decimals. Since there are already two numbers that are decimals, let's change the other two numbers to decimals as well.
To change a fraction to a decimal, divide the number on the top (numerator) by the number on the bottom (denominator). Changing
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
to a decimal would result in 0.125.
The other number that needs to be changed is the 36%. To change a percent to a decimal, move the decimal point two spaces to the left and remove the percent sign. 36% as a decimal would be 0.36.
So now we have 0.125 (
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
), 0.36 (36%), 0.85, and 0.078. Let's put them in order. Find the greatest number by starting in the tenths place (this is the number right after the decimal), which is 0.85. Look for the second largest number in the tenths place, 0.36. Again look in the tenths place for the third number in the order, which is 0.125. The final number is the smallest one, 0.078. To recap, the order from greatest to least is 0.85, 0.36 (36%), 0.125 (
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
), 0.078. The correct answer then would be D.