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strojnjashka [21]
4 years ago
13

wow I can't start typing the message an open cylindrical container has a base radius of 3.5 cm if the ratio of the area of its b

ase to that of its curved surface is 1:6, calculate the height of the container​
Mathematics
1 answer:
Mazyrski [523]4 years ago
5 0

Answer:

  height = 10.5 cm (for open-top container)

Step-by-step explanation:

The area of the base is ...

  A = πr²

The lateral area is ...

  A = 2πrh

We want the ratio of these to be 1:6, so we have ...

  πr²/(2πrh) = 1/6

  6πr² = 2πrh . . . cross multiply

  h = 3r . . . . . . . divide by 2πr

  h = 3(3.5 cm) = 10.5 cm

The height is 10.5 cm.

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4 years ago
The table displays data for Nutrition Guides of a single serving of particular foods. Assuming there exists a correlation betwee
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Answer:

The linear regression model that will determine approximate Fat Grams (y) as a function of Calories (x) is given by

 y = 0.054 x - 2.105

Hence the correct option is B.)

Step-by-step explanation:

Step 1: Find X⋅Y and  as it was done in the table below.

Step 2: Find the sum of every column:

ΣX = 1560,  ΣY = 67,     ΣX.Y = 14860 ,   ∑(\textbf{X}^{2}) =  337600

Step 3: Use the following equations to find a and b:

a  =  = -2.105

b = \frac{n.\sum{XY}  -   \sum{X}.\sum{Y}}{n.\sum{(X^{2})}- (\sum{X})^{2} } = 0.054

Step 4: Substitute a and b in regression equation formula

y  = a + b⋅x= −2.105 + 0.054⋅x

The linear regression model that will determine approximate Fat Grams (y) as a function of Calories (x) is given by

 y = 0.054 x - 2.105

Hence the correct option is B.)

7 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
Viktor [21]

Answer:

Volume of sphere = 44.57 cm³

Step-by-step explanation:

Given:

Diameter of sphere = 4.4 centimeter

Value of π = 3.14

Find:

Volume of sphere

Computation:

Radius of sphere = Diameter of sphere / 2

Radius of sphere = 4.4 / 2

Radius of sphere = 2.2 centimeter

Volume of sphere = [4/3][π][r³]

Volume of sphere = [4/3][3.14][2.2³]

Volume of sphere = [4/3][3.14][10.648]

Volume of sphere = [1.333][3.14][10.648]

Volume of sphere = 44.568

Volume of sphere = 44.57 cm³

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3 years ago
Use the elimination method to slove the system of equations. 2x+4y=10 3x-4y=5
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Step-by-step explanation:

Hope this helps please like and mark as brainliest

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3 years ago
Bobby describes two lines to Frank, telling him that beginning at point A, line #1 goes up 3 units and to the right 8 units, whi
rodikova [14]

When a line changes position from one point to another, the movement is referred to as transition.

<em>Bobby does not have enough information to make a valid conclusion.</em>

The movements of the lines are given as:

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<em>Line 2: 8 units down and 3 units right</em>

The given information only describes the movement of both lines, but does not give details about the initial relationship between the lines.

<em>Hence, no valid conclusion can be made with the given information.</em>

Read more about lines at:

brainly.com/question/5830373

8 0
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