Solution given:
p(x)=0
-0.2x2 + 10x – 25=0
-0.2(x²-50x+125)=0
x²-2.25.x+25²=25²-125
(x-25)²=500
x-25=
x-25=±10√5
taking positive
x=22.3606+25
x=47.3606
taking negative
x= -22.3606+25
x=2.639
so
maximum profit Anthony will receive :<u>4</u><u>7</u><u>.</u><u>3</u><u>6</u><u>0</u><u>6</u><u>*</u><u>1</u><u>0</u><u>0</u><u>0</u><u>=</u><u> </u><u>4</u><u>7</u><u>3</u><u>6</u><u>0</u><u>6</u><u>0</u><u>0</u><u>(</u><u>approach</u><u>)</u>
<u>now</u>
<u>47360</u><u> </u><u>.</u><u>6</u><u> </u><u>o</u><u>r</u><u> </u><u>2639</u><u> </u>parts he would need to sell to receive the maximum profit
Answer:
2/5
Step-by-step explanation:
in 4/10, both the numerator (4) and denominator (5) are multiples of 2, as 4 = 2 * 2 and 10 = 2 * 5. thus, we can divide both the numerator and denominator by 2 to get
(4/2) / (10/2) = 2/5 as our answer.
9514 1404 393
Answer:
42,412 ft³ each tank
84,823 ft³ both tanks added together
Step-by-step explanation:
"Congruent in size" means both tanks have the same dimensions. Each has a radius of 15 ft and a length of 120 ft. Each has half the volume of a cylinder with those dimensions.
The formula for the volume of a cylinder is ...
V = πr²h
where r is the cylinder radius, and h is the length of its axis.
We want the volume of <em>half</em> a cylinder with r=15 and h=120 (dimensions in ft). We can compute that using ...
V = 1/2π(15 ft)²(120 ft) = π(225 ft²)(60 ft)= 13500π ft³
If we want the volume to the nearest cubic foot, we need a value of pi that is at least 7 significant digits (3.14 isn't appropriate). Then the volume is about ...
(13,500)(3.141593) ft³ ≈ 42,411.5 ft³ ≈ 42,412 ft³
Both tanks have a volume of 42,412 ft³ each.
_____
<em>Additional comment</em>
The question, "What is the volume of both tanks?" is ambiguous. We're not sure if the combined volume is intended, or if the volume of each of the two tanks is intended. Both numbers are provided, so you can sort it out as you see fit.
It is just asking for you to convert 3/4 in 84ths. This means it wants the denominator to be 84. So multiply both the top and bottom by what gets you 84. In this case, multiply both by 21. So 3/4•(21/21)=63/84
You will need 252 mL of pure water to obtain 0.25 mL of the desired 25% solution.
If we add X amount of water to the solution, the total amount of solution is 375+X.
And that must be 25%.
<h3>
What is the amount of solute in the current solution?</h3>
The amount of solute in the current amount of solution is
0.6(375)=225.
That amount won't change by adding water.
So we set up the equation so that the amount of solute divided by the new total amount of solution equals 25%.
225/(375+X)=0.25
cross multiply and solve
225/0.25=(375+X)
900-375=X
X=525
The pure water will you need to add to obtain the desired solution is 525.
Then we check 225/(375+525)=0.25.
To learn more about the mixture problem visit:
brainly.com/question/24647756
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