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Firdavs [7]
2 years ago
12

a box with a square base and a top is to be constructed from 10 square meters of material. find the dimensions which will maximi

ze the volume that the box can hold.
Mathematics
1 answer:
Butoxors [25]2 years ago
4 0

A box with a square base and a top is to be constructed from 10 square meters of material. 40 square meters will maximize the volume that the box can hold.

<h3>What is volume?</h3>

LSD use among secondary school understudies is a specific concern. More Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme units. Volume is characterized as the space involved inside the limits of an article in three-layered space. It is otherwise called the limit of article. Volume is a proportion of consumed three-layered space. It is frequently measured mathematically utilizing the SI determined unit, the cubic meter. The volume of a compartment is by and large comprehended to be the limit of the compartment, how much liquid (gas or fluid) that the holder could hold, instead of how much space the actual holder dislodges. Three layered numerical shapes are additionally relegated volumes.

Learn more about volume, refer:

brainly.com/question/28027357

#SPJ4

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givi [52]
y=\dfrac{\ln x}{3x-6}

Differentiate both sides with respect to x:

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}

When x=1, you have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}=\dfrac{-3}9=-\dfrac13

For part (b), we now assume that x and y are functions of an independent variable, which we'll call t (for time). Now differentiating both sides with respect to t, we have

\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}\dfrac{\mathrm dx}{\mathrm dt}

where the chain rule is used on the right side. We're told that y is decreasing at a constant rate of 0.1 units/second, which translates to \dfrac{\mathrm dy}{\mathrm dt}=-0.1. So when x=1, you have

-0.1=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}\dfrac{\mathrm dx}{\mathrm dt}
-0.1=-\dfrac13\dfrac{\mathrm dx}{\mathrm dt}
\dfrac{\mathrm dx}{\mathrm dt}=0.3

where the unit is again units/second.
6 0
3 years ago
there are 36 pupils in mr. castro mathematics class mr. castro wants to seperate the class into equal group for doing an activit
posledela

Answer:

He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.

The Factors (excluding 1) are;

2, 3, 4, 6, 9, 12, 18

Using these therefore he can divide them;

  1. Into 3 groups each with 12 people.
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  3. Into 6 groups each with 6 people.
  4. Into 9 groups each with 4 people.
  5. Into 12 groups each with 3 people.
3 0
3 years ago
Which relation is a function?
docker41 [41]

Answer:

The top right grid

Step-by-step explanation:

The other grids have 2 y outputs for one or more x inputs.

7 0
4 years ago
What number has the same value as 50 tens
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5x100 or 1x500 is your answer
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If josh can run 2 miles in 15 minutes. How many miles can he run in 2 hours?
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3 years ago
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