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Gnesinka
1 month ago
15

Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive a

t this answer.

Mathematics
2 answers:
AnnZ [12.3K]1 month ago
3 0
Utilizing the specified equation,
                              V = lwh
The volume for the prism illustrated is given by,
                              V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By means of factoring,
                            V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
By removing identical terms from both the numerator and the denominator,
                           V = (x)(2x -5)(6x)
Inessa [12.5K]1 month ago
3 0

Response: Present 2x – 5 over 1.


Factor both the numerators and the denominators wherever feasible


Eliminate common factors for simplification.


Verify that the volume reads as (x)(6x)(2x – 5)


Step-wise explanation: This is the correct answer


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a speed limit of 100 kilometers per hour is approximately equal to 62 miles per hour. write an equation relating kilometers per
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The conversion between these units is 1 km/hr = 0.62 m/hr
8 0
2 months ago
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Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r
Svet_ta [12734]

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.

The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).

For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.

As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]

C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250

Thus, the range of this function is [0, 3250]

8 0
1 month ago
One similar figure has an area that is nine times the area of another. The larger figure must have dimensions that are times the
Svet_ta [12734]
T<span>he area of a figure signifies the measure of space within a two-dimensional shape, typically expressed as square units based on the figure's dimensions.

For instance, with a shape having dimensions of k, its area can be given by k^2.
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<span>Consider that one similar figure possesses an area nine times that of another.

As these figures are similar, their areas correspond to the proportionality of their dimensions.

Let the smaller shape's dimensions be k, while the larger is p times the dimensions of the smaller shape. The smaller shape's area is k^2 and the larger shape's area is (pk)^2.

Now, knowing the larger figure's area is nine times the area of the smaller figure, we have:
\frac{(pk)^2}{k^2} = \frac{9}{1} \\ \\ \frac{p^2k^2}{k^2} =9 \\ \\ p^2=9 \\ \\ p= \sqrt{9} \\ \\ p=3
</span>
Thus, the dimensions of the larger figure must be 3 times those of the smaller figure.
3 0
1 month ago
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Margie received her store order on 12/3/16 at 4AM. She just opened one of the
Inessa [12570]

Answer:

Expiration Date: 1/17/2017

Expiration Time: 4:00am

Preparation Date: 12/3/2016

Preparation Time: 4:00am

Initial Usage Date: 12/7/2016

Detailed Breakdown:

An illustrative depiction of the question has been provided in an image format for clarity.

From the information given, it is noted that her store order arrived on 12/3/2016 at 4am, confirming that both the prep date and time are 12/3/2016 and 4am respectively. The product has a printed expiration date of 1/17/2017, logically indicating that its expiration time is also 4am, in line with the prep time; adding 24 hours leads us back to the same time on the expiration date. Furthermore, we were informed that she utilized the product on 12/7/2016, which marks the initial use date. Based on this information, we can summarize as follows:

Expiration Date: 1/17/2017

Expiration Time: 4:00am

Preparation Date: 12/3/2016

Preparation Time: 4:00am

Initial Usage Date: 12/7/2016

8 0
3 months ago
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