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masya89 [10]
3 years ago
12

20 Points!!! Jason orders a data set from least to greatest.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
4 0

Answer:

Measure of central tendency (center)

it is called median

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The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac
nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

\displaystyle A=\frac{1}{2}\pi r^2

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx

Substitute:

\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx

Simplify:

\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx

Integrate:

\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]

Evaluate:

\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3

The volume of the solid is π/40 cubic units.

4 0
3 years ago
Explain what the equation 3x = 6 means without using the word equal.
Alexandra [31]

Step-by-step explanation:

1. 3 multiplied by x is the same value of 6

2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3

Hope that helps :)

7 0
3 years ago
Find the least common multiple of these two expressions.<br> 10v^6y^7 and 6w^4v^5y^3
egoroff_w [7]

10v⁶y⁷    = <u>2</u> * 5 * <u>vvvvv</u>v * <u>yyy</u>yyyy      

6w⁴v⁵y³ = <u>2</u> * 3 * wwww * <u>vvvvv</u> * <u>yyy</u>

GCF: 2v⁴y³

<em>The LCM is the GCF and everything leftover</em>

LCM: 2v⁴y³ * (5 * v * yyyy) * (3 * wwww)

       = (2 * 5 * 3) * (v⁴ * v) * (w⁴) * (y³ * y⁴)

       =        30           v⁵        w⁴        y⁷

Answer: LCM =  30v⁵w⁴y⁷

4 0
3 years ago
-5/6(8+5b) = 75+5/3 b
Viktor [21]

Answer:

b = - 14

Step-by-step explanation:

Given

- \frac{5}{6}(8 + 5b) = 75 + \frac{5}{3} b

Multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions

- 5(8 + 5b) = 450 + 10b ← distribute left side

- 40 - 25b = 450 + 10b ( subtract 10b from both sides )

- 40 - 35b = 450 ( add 40 to both sides )

- 35b = 490 ( divide both sides by - 35 )

b = - 14

6 0
2 years ago
Read 2 more answers
The graphs below have the same shape. What is the equation of the red graph?
cluponka [151]

We claim that the answer is y=-x^2. Since the two graphs both open down, and all the answer choices, in addition to the equation of the blue graph, are quadratic polynomials, the leading coefficient must be negative. This immediately rules out answer choices A, B, and C, leaving D as the answer.

4 0
3 years ago
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