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NeTakaya
2 years ago
5

the volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, i

n units? 3x 6x 3πx2 9πx2
Mathematics
2 answers:
iVinArrow [24]2 years ago
7 0
The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>
lord [1]2 years ago
6 0
The answer is for this question is 3x
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Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomia
Phoenix [80]

Answer:

- 2x^5+ 0x^4 +  \frac{x^3}{2} +0x^2+\frac{x}{4}  + 1

Step-by-step explanation:

Given

\frac{x}{4} - 2x^5 + \frac{x^3}{2} + 1

Required

The standard form of the polynomial

The general form of a polynomial is

ax^n + bx^{n-1} + cx^{n-2} +........+ k

Where k is a constant and the terms are arranged from biggest to smallest exponents

We start by rearranging the given polynomial

- 2x^5+ \frac{x^3}{2} +\frac{x}{4}  + 1

Given that the highest exponent of x is 5;

Let n = 5

Then we fix in the missing terms in terms of n

- 2x^5+ 0x^{n-1} +  \frac{x^3}{2} +0x^{n-3}+\frac{x}{4}  + 1

Substitute 5 for n

- 2x^5+ 0x^{5-1} +  \frac{x^3}{2} +0x^{5-3}+\frac{x}{4}  + 1

- 2x^5+ 0x^{4} +  \frac{x^3}{2} +0x^{2}+\frac{x}{4}  + 1

Hence, the standard form of the given polynomial is - 2x^5+ 0x^4 +  \frac{x^3}{2} +0x^2+\frac{x}{4}  + 1

3 0
2 years ago
Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected
Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

<u>Mean:-</u>

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

                                                                                                                           mean =  \frac{64+80+75+98+75}{5}

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

<u>Median:</u>

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = \frac{75+80}{2} =77.5

<u>Mode :</u>

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

<u>Conclusion</u>:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

   

8 0
2 years ago
What can you say about the end behavior of the function f(x)=log10(5x-1)
natima [27]
The given function is
f(x) = log₁₀(5x-1)

As x -> -∞, the argument of the log function becomes a large negative number.
Because the log of a negative number is undefined, f(x) is undefined as x -> -∞.

As x -> +∞, the argument of the log function becomes a large positive number.
Therefore f(x) -> +∞ as x -> +∞.

Answer:
As x -> -∞, f(x) is undefined.
As x-> +∞, f(x) -> +∞.
6 0
2 years ago
Read 2 more answers
A rectangular block measures 3 cm x 4 cm x 3 cm how much water would it displace?
nika2105 [10]

Answer:

36c^3m^3x^2

Step-by-step explanation:

  1. you first multiply 3 cm by 4 cm by 3 cm to get 36 cm.
  2. its mass in air and its effective mass when submerged in water (density = 1 gram per cubic centimeter).
  3. 1.0 g/cm3
  4. then you get the answer 36c^3m^3x^2
4 0
2 years ago
Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl. Fannin Lanes charges 2.50 pe
Archy [21]

Answer:

4 games

Step-by-step explanation:

<em>Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl.</em>

Let x number of games played

y represents total cost to bowl

  • Fannin Lanes charges 2.50 per games plus 2 for shoe rental

y = 2.50x + 2

  • Fun Time Lanes charges 2 per game plus 4 for shoe rental.

y = 2x + 4

<u><em>If total cost to bowl be same at both center</em></u>

2.50x + 2 = 2x + 4

2.5x - 2x = 4-2

        0.5x = 2

             x = 4

Hence, 4 games will the cost to bowl be the same at both center.

3 0
2 years ago
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