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4 years ago

What is the volume of a cube that measures 0.6 m on each edge?

Mathematics

2 answers:

Licemer1 [7]4 years ago

7 0

Answer:

Volume=a3=0.63=0.216

Tamiku [17]4 years ago

4 0

Volume=a3=0.63=0.216

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The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in

crimeas [40]

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling x items given by the function:

$C(x)=40x+180$

And the revenue for selling x items is given by:

$R(x)=68x-0.4x^2$

The profit function is the cost function subtracted from the revenue function:

$P(x)=R(x)-C(x)$

Substitute and simplify:

$\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}$

To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:

$300=-0.4x^2+28x-180$

Solve for x. Subtract 300 from both sides:

$-0.4x^2+28x-480=0$

We can divide both sides by -0.4:

$x^2-70x+1200=0$

Factor:

$(x-40)(x-30)=0$

Zero Product Property:

$x-40=0\text{ or } x-30=0$

Solve for each case:

$x=40\text{ or } x=30$

So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.

7 0

3 years ago

Find the surface area of the triangular prism shown below

Varvara68 [4.7K]

Answer:

174 ft^2

Step-by-step explanation:

$area = 2 \times 8 \times 3 + 2 \times 7 \times 5 + 7 \times 8 \\ = 48 + 70 + 56 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 174 \: {ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$