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Alenkinab [10]
2 years ago
7

Find the value of x that maximized the volume of the following:

Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

Check the picture below.

as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.

the maximum is reached at the close up you see in the picture on the right-side.

Why we don't use a higher value from the graph since it's going to infinity?

well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.

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Is this expression equivalent to 1.5?<br><br> 0.15 / 10<br><br> (0.15 divided by 10)
dimulka [17.4K]

Answer:

False

Step-by-step explanation:

0.15/10 equals 0.015

6 0
2 years ago
If one gallon of paint covers 25 sq. ft., how much paint is needed to cover 40 sq. ft.? i will mark brainliest
gogolik [260]

Answer:

1.6 gallons (so if you can only buy by the gallon, 2 gallons)

Step-by-step explanation:

You divide the total area by how much a gallon covers to get the number of gallons needed.

40/25=1.6

8 0
3 years ago
Read 2 more answers
1. Solve: 6x - 12 &lt; 6<br> 2. Solve: 2(3x-8) &gt;8
8090 [49]

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

\frac{6x}{6}

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

\frac{6x}{6} >\frac{24}{6}

answer

x>4

4 0
3 years ago
Pls helppppppppppppppppppppp
Julli [10]

Answer:

10 2/3

Step-by-step explanation:

Multiply 4 and 2 and then multiply 2 and 4. If you do that then you get 8 8/3. You then just take the numerator and turn it into whole numbers to get 10 2/3.

4 0
3 years ago
What percent of 146 is 39​
marissa [1.9K]

Answer:

<em>39 is 26.71% of 146</em>

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 146 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 146.

Step 4: In the same vein, x% = 39.

Step 5: This gives us a pair of simple equations:

100% = 146(1).

x%=39(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

100/x% = 146/39

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 39/146    ⇒ x= 26.71%

Therefore, 39 is 26.71% of 146.

<em>hope it helps:)</em>

7 0
3 years ago
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