Using the given equation of,
V = lwh
The volume of the given prism in the figure is,
V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By factoring,
V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
Eliminating terms appearing in both the denominator and numerator,
V = (x)(2x -5)(6x)

3 0

2 years ago

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LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (-100,0) and (

Gre4nikov [31]

Answer:

$\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1$

Step-by-step explanation:

center of the hyperbola is (0,0) = (h, k)

c = the distance form the center to either focal point = 100

$c^{2} =100^{2}=10000$

The differences from the receiver to the transmitters = 2a

2a = 180 miles

a = 180/2=90 miles

$a^2 =90^{2}= 8100$

$b^{2}= c^{2} - a^{2}$

$b^{2}= 100^{2}-90^{2}=1900$

$b^{2}=1900$

The standard form is

$\frac {(x-h)^{2}}{a^{2}}+\frac {(y-k)^{2}}{b^{2}}=1$

$\frac {(x-0)^{2}}{a^{2}}+\frac {(y-0)^{2}}{b^{2}}=1$

$\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1$

3 0

2 years ago

An executive for a large national restaurant chain with multiple locations in each of 513 counties wants to personally sample th

ohaa [14]

Answer:

D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.

Step-by-step explanation:

Since this executive wants to minimize cost and expenses he should use a cluster sample of 20 counties and using the selected counties as a representative of the whole. Cluster sampling is a good and useful way of doing market research. It is more economical than other sampling methods and as the executive cannot get information on the whole population, he would be able to get information from the clusters.

4 0

2 years ago

In an exam 35 out of 125 students failed. What percentage passed the exam?

kotegsom [21]

Answer:

28%

Step-by-step explanation:

To find the percentage, you first have to divide:

35 out of 125 Which is 35 ÷ 125 = 0.28

Then you must convert that into a percentage:

0.28 = 28%

Hope this helps you out! : )

4 0

2 years ago