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BaLLatris [955]
1 year ago
6

the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder​

Mathematics
1 answer:
Elina [12.6K]1 year ago
6 0

Answer: Volume of the cylinder​ = 4912\ cm^2

Step-by-step explanation:

Volume of cylinder = Area of base x height

Also, area of cross section = Area of base

Volume of cylinder =  area of cross section x height

Given:  Area of cross section = 614\ cm^2

height = 8 cm

Volume of cylinder = 614 x 8

= 4912 \ cm^2

Hence, the volume of the cylinder​ = 4912\ cm^2

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sergeinik [125]

The best measure of center tendency for this set of data would be the median. It is the best measurement because the data set has an outlier. The outlier is the 30. So to find the median we first order the data set and then find out if the set is an even or odd set. This set is even so we just chose the middle number. If the set was even, we would add the two center number and divide them by 2.

3, 3, 4, 4, 4, 5, 5, 5, 30

The center tendency = 4

8 0
2 years ago
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According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i
Kamila [148]

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if a_{0} and a_{n} are non zero then each rational solution x will be:

x= +/- Factors of a_{0} / Factors of  a_{n}

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

a_{0} = 35

a_{n} = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

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2 years ago
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Jose wants to start a restaurant and is writing a business proposal. His rent is $1,000 per month. The monthly operating costs a
Harman [31]

Answer:

Revenue =  5( 1000 + w+ k)

Step-by-step explanation:

Lets calculate expenses first

rent = $1000

wages = w

overhead cost = k

Total cost = rent + wage+ overhead

Total cost = 1000 + w+ k

Given Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs

Let revenue be R

Thus, putting the statement mathematically

revenue - total cost = 4 * operating cost

R - ( 1000 + w+ k) = 4( 1000 + w+ k)

R =  4( 1000 + w+ k) + ( 1000 + w+ k)

R =  5( 1000 + w+ k)

Thus, revenue should be  5( 1000 + w+ k).

4 0
2 years ago
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zalisa [80]

We have been given two polynomials 3x^2-2x -4 \text{ and } 2x^2+x-3

Let us first multiply these polynomials.

(3x^2 - 2x - 4)(2x^2 + x - 3)\\
\\
=3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\
\\
=6 x^4 - x^3 - 19 x^2 + 2 x + 12

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got 6 x^4 - x^3 - 19 x^2 + 2 x + 12 which is a polynomial.

Therefore, the correct option is

The result 6 x^4 - x^3 - 19 x^2 + 2 x + 12   is a polynomial.


4 0
1 year ago
A biologist took a count of the number of fish in a particular lake and recounted the lake’s population of fish each of the next
oksano4ka [1.4K]

The <em>correct answer</em> is:

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I plotted this data in a graphing calculator. The screenshot is attached. You can see the curve of the parabola in the graph. I then ran the quadratic regression; again, the screenshot is attached. It lists the values of a, b and c for the equation y = ax²+bx+c.

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