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Elodia [21]
3 years ago
15

Help please!!

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

the pressure decreases. Once it reaches 0 the pressure is 0.

Step-by-step explanation:

you can check this by plugging in values like -0.999 and 0.1 to see

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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible
Evgen [1.6K]

Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

`H = \frac{(1900 - A^2)}{(4*A)}

Volume of box is equal to product of base area of box and the height of the box -  

V = A*A* H

Substituting the given area we get -

\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}

For maximum volume

\frac{dV}{dA} =0

\frac{ 1900}{4} - \frac{3*A^2}{4} = 0

A^2 = \frac{1900}{3}

Volume of the box

= \frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }

= 7969 cubic centimeter

3 0
3 years ago
What is the value of x in the equation 5 x + 3 = 4 x ?
Y_Kistochka [10]

Answer:

x  = -3

Step-by-step explanation:

5 x + 3 = 4 x

Solve for x

5x - 4x + 3 = 0

x + 3 = 0

x = -3

5 0
3 years ago
Read 2 more answers
(3x/5-7)+7 is equal to what
Elena L [17]

(3x/5-7)+7

= (3x/-2) + 7

= -3x/2 + 7

5 0
3 years ago
3,408 divided by 41 <br><br> Explanation in traditional method<br><br><br><br> 52 POINTS PLS HELP
Furkat [3]

Answer:

83.1219512195

Step-by-step explanation:

Hope this helps!

7 0
2 years ago
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Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c
elena55 [62]

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

     = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

    = - 4x² + 24x - 36 + 16 ← collect like terms

    = - 4x² + 24x - 20

4 0
3 years ago
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