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Effectus [21]
4 years ago
6

What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length.

Mathematics
2 answers:
kenny6666 [7]4 years ago
8 0
V=(1/4)³
V=1/16 ft³
volume of 4 cubes= (1/16)·4=4/16= 1/4 ft³
erica [24]4 years ago
3 0

Answer:

The volume of four cubes is\frac{1}{16} foot^3

Step-by-step explanation:

Side length of cube =\frac{1}{4} foot

Volume of cube = Side^3

So, Volume of 1 cube =(\frac{1}{4})^3

                                   =\frac{1}{64}foot^3

So, Volume of 4 cubes = \frac{4}{64}=\frac{1}{16} foot^3

Hence the volume of four cubes is\frac{1}{16} foot^3

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3 years ago
Show that the equation x^3+6x-5=0 has a solution between x=0 and x=1
Mnenie [13.5K]

Answer:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

Step-by-step explanation:

The equation f(x) given is:

f(x) = x^3+6x-5

For x = 0. the value of the expression is:

f(0) = 0^3+0-5\\f(0) = -5

For x = 1, the value of the expression is:

f(1) = 1^3+6-5\\f(1)=2

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

In other words, there is at least one solution for the equation between x=0 and x=1.

6 0
3 years ago
The following scatter plot represents the number of views a video gets each day.
N76 [4]

Answer:

y = 1.0535(4.9512)^x

It can be considered a viral video

Step-by-step explanation:

Using the exponential regression calculator, the regression model obtained is :

y = 1.0535(4.9512)^x

Using the model, we can determine if a video can be considered viral ;

Number of days, x = 10

y = 1.0535(4.9512)^10

y = 1.0535(8853290.1338)

y = 9,326,941.15

Hence, video will receive way over 3 million reviews, a review of about 9,326,941, hence, it can be considered a viral video.

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3 years ago
What is the least common denominator of the rational expressions below? 5/x2 - 3/6x2 + 12x
dangina [55]

Answer:

The answer is c

Step-by-step explanation:

6 0
3 years ago
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Answer:

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

Step-by-step explanation:

Inequality for the population of Farmsville:

The inequality for the population of Farmsville in x years after 2010 is given by:

y(x) > 2000x + 2100

Will the population of Farmersville be greater than 6,300 in 2012?

2012 is 2012-2010 = 2 years after 2010, so we have to find y(2).

y(2) > 2000(2) + 2100

y(2) > 6100

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

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3 years ago
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