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2 years ago

PLEASE ANSWER QUICK

Mathematics

1 answer:

Grace [21]2 years ago

8 0

D

Because that would mean the bottom equals 0. And it’s impossible to divide anything by 0

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Answer:

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2 years ago

A sheet of metal 12 inches by 10 inches is to be used to make a open box. Squares of equal sides x are cut out of each corner th

VLD [36.1K]

Answer:

1.81 inches

Step-by-step explanation:

We are told that the sheet of metal to be used measures 12 inches by 10 inches.

Squares of equal sides x are cut out of each corner. Thus, it means total of 2x is cut of the 12 inches side and 10 inches side.

Thus;

Length; L = 12 - 2x

Width; W = 10 - 2x

Height; H = x

Volume of the box is;

V = LWH

V = (12 - 2x)(10 - 2x)x

Factorizing out, we have;

V = 4x[(6 - x)(5 - x)]

Equating V to zero, we can find the domain of the function;

At V = 0,

4x = 0; 6 - x = 0 ; 5 - x = 0

x = 0, x = 6, x = 5

The dimensions have to be positive. Thus;

0 ≤ x ≤ 5

Expanding the volume equation;

V = 4x[30 - 5x - 6x + x²]

V = 4x[30 - 11x + x²]

V = 4x³ - 44x² + 120x

dV/dx = 12x² - 88x + 120

Equating to zero to find the value of x that makes volume maximum;

12x² - 88x + 120 = 0

Using quadratic formula gives;

x = 1.81 or 5.52

From our domain, we have 0 ≤ x ≤ 5.

1.81 falls within the domain and therefore we will pick it as the height that makes the volume maximum.

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2 years ago

Read 2 more answers

Hellpppppp answer pls provide proof along will give brainliest

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Answer:

80 m

Step-by-step explanation:

The balloon begins its descent at t = 0

The corresponding value on the y- axis at t = 0 is 80 (0, 80 )

The balloon started its descent at 80m

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2 years ago

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2 years ago

How many joules of gravitational potential energy are stored in a system where a feather with a mass of 0.008 kilograms is posit

8_murik_8 [283]

Answer:

G.P.E = 1.725 Joules

Step-by-step explanation:

Given the following data;

Mass = 0.008 kg

Height, h = 22m

To find the gravitational potential energy;

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

$G.P.E = mgh$

Where;

G.P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

We know that acceleration due to gravity is equal to 9.8m/s²

Substituting into the formula, we have;

GPE = 0.008 * 9.8 * 22

GPE = 1.725 Joules

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2 years ago