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velikii [3]
3 years ago
7

Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the curve

Mathematics
1 answer:
ipn [44]3 years ago
7 0
So here is how we find the answer to this given problem.
<span>The formula for area is: A=(l)(w)
So, A=(2x)(8-x²)
A=16x-2x³
dA/dx = 16-6x²
then you will use calculus to get the absolute local maximum of x by letting dA/dx = 0
then wha you will get is x = 2sqrt(6)/3
so the area would be= 64 * sqrt(6) / 9
</span>or 64√<span><span>6/</span>9.
Based on the choices given, the answer would be option D. 
Hope this answer helps.</span>
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How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew  be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x  +  32.50  =  10.25x  +  51.25

14x - 10.25x  =  51.25  -  32.50

3.75x  =  18.75

x  =  18.75/3.75

x  =  5

Therefore, the amount of cashew mixed is 5 pounds

Learn more on word problem on cost here: brainly.com/question/21405634

#SPJ1

8 0
2 years ago
Read 2 more answers
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AveGali [126]
It should be step 4 because it doesn't look right and they just added that from no where 
7 0
3 years ago
Sarah picked a marble out of a bag 50 times. Each time she replaced the marble before she chose again. Her results are shown in
Vladimir79 [104]

Answer:

1/10

Step-by-step explanation:

5 is 1/10 of 50

5 0
3 years ago
Which pairs of angles are supplementary?
vfiekz [6]
Supplementary angles = Angles that add up to 180°. 

∠5 + ∠7 = 180° ← supplementary angles


∠1 = ∠5 
Since ∠5 + ∠6 = 180°
⇒ ∠1 and ∠6 will also be 180° .  ← supplementary angles


--------------------------------------------------------------------------------------
Answer: ∠5 + ∠7 (Answer D) and ∠1 + ∠6 (Answer A) 
--------------------------------------------------------------------------------------
7 0
4 years ago
Read 2 more answers
Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?
Archy [21]

Mr. Gardener's annual interest rate is 8%.

40,000/500,000 = 0.08

8 0
3 years ago
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