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4 years ago

9

The volume of a cube is 1000 cubic inches. What is the edge length of the cube?

1 answer:

levacccp [35]4 years ago

6 0

Since the volume of a cube is S^3, where S is the length of one of the sides, we take the cube root of 1000 and get the edge length of the cube is 10 inches.

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Avanti works in a bookstore. She has four books and is going to place them in two stacks. The diagram above shows the books befo

lyudmila [28]

Answer:

where is the diagram?

Step-by-step explanation:

attach the diagram

8 0

3 years ago

Explain how you can use multiplication to show that two-fourths and four-eighths are equivalent.

ANTONII [103]

Answer:

2/4 and 4/8 are equivalent because you can use the butterfly method of multiplication. Meaning you multiply the numerator by the other fractions denominator and vis-versa.

Step-by-step explanation:

2 x 8 = 16

4 x 4 = 16

3 0

3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

<em>P(0) = 0 and P(50) = 1,500,000 </em>

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

4 years ago

A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?

4vir4ik [10]

$78 for each tire
4,992 divided by 64 is 78

7 0

3 years ago

Determine the nature of the roots:

malfutka [58]

Answer:

A. 2 distinct roots.

Step-by-step explanation:

2x^2 + 8x + 3 = 0

Finding the discriminant:

b^2 - 4ac = 8^2 - 4 * 2 * 3

= 64 - 24

= 40

The discriminant is positive but not a perfect square

So there are 2 distinct ,real, irrational roots.

5 0

3 years ago