Help... pls..............

A container with a larger surface area always has a greater volume. Explain whether or not this statement is true using several

Grace [21]

No, this is not true every time. It depends on the conditions given.

For example-

Suppose we have a Box A with dimensions 10 x 10 x 1 and Box B with dimensions 5 x 5 x 5.

Box B has a surface area = 2(25+25+25) = 150 and a volume of 5*5*5= 125 cubic units

Box A has a larger surface area = 2(100+10+10) = 240 and a smaller volume = 10*10*1 = 100 cubic units

Similarly take an example of sphere.

Lets suppose the radius of the sphere is 2 cm

So, SA is 4πr² = 4*3.14*2*2 = 50.24 cm²

Volume of the sphere is = 4πr³ /3 = 33.50 cm³

Here also the SA is greater.

8 0

3 years ago

What is the arithmetic mean of the following numbers?<br> 1,2, 10, 6, 4,4,6,3,1,4

sp2606 [1]

Answer:

The quadratic mean (rms) of a set of numbers is the square root of the sum of the squares of the numbers divided by the number of terms.





⎷

(

1

)

2

+

(

2

)

2

+

(

10

)

2

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Step-by-step explanation:

One to any power is one.

√

1

+

(

2

)

2

+

(

10

)

2

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise

2

to the power of

2

.

√

1

+

4

+

(

10

)

2

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise

10

to the power of

2

.

√

1

+

4

+

100

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise

6

to the power of

2

.

√

1

+

4

+

100

+

36

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise

4

to the power of

2

.

√

1

+

4

+

100

+

36

+

16

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise

4

to the power of

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise

6

to the power of

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise

3

to the power of

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

9

+

(

1

)

2

+

(

4

)

2

10

One to any power is one.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

9

+

1

+

(

4

)

2

10

Raise

4

to the power of

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

9

+

1

+

16

10

Add

1

and

4

.

√

5

+

100

+

36

+

16

+

16

+

36

+

9

+

1

+

16

10

Add

5

and

100

.

√

105

+

36

+

16

+

16

+

36

+

9

+

1

+

16

10

Add

105

and

36

.

√

141

+

16

+

16

+

36

+

9

+

1

+

16

10

Add

141

and

16

.

√

157

+

16

+

36

+

9

+

1

+

16

10

Add

157

and

16

.

√

173

+

36

+

9

+

1

+

16

10

Add

173

and

36

.

√

209

+

9

+

1

+

16

10

Add

209

and

9

.

√

218

+

1

+

16

10

Add

218

and

1

.

√

219

+

16

10

Add

219

and

16

.

√

235

10

Cancel the common factor of

235

and

10

.

Tap for fewer steps...

Factor

5

out of

235

.

√

5

(

47

)

10

Cancel the common factors.

Tap for fewer steps...

Factor

5

out of

10

.

√

5

⋅

47

5

⋅

2

Cancel the common factor.

√

5

⋅

47

5

⋅

2

Rewrite the expression.

√

47

2

Rewrite

√

47

2

as

√

47

√

2

.

√

47

√

2

Multiply

√

47

√

2

by

√

2

√

2

.

√

47

√

2

⋅

√

2

√

2

Combine and simplify the denominator.

Tap for fewer steps...

Multiply

√

47

√

2

and

√

2

√

2

.

√

47

√

2

√

2

√

2

Raise

√

2

to the power of

1

.

√

47

√

2

√

2

1

√

2

Raise

√

2

to the power of

1

.

√

47

√

2

√

2

1

√

2

1

Use the power rule

a

m

a

n

=

a

m

+

n

to combine exponents.

√

47

√

2

√

2

1

+

1

Add

1

and

1

.

√

47

√

2

√

2

Rewrite

√

2

as

2

.

Tap for fewer steps...

Use

n

√

a

x

=

a

x

n

to rewrite

√

2

as

2

1

2

.

√

47

√

2

(

2

1

2

)

2

Apply the power rule and multiply exponents,

(

a

m

)

n

=

a

m

n

.

√

47

√

2

1

2

⋅

2

Combine

1

2

and

2

.

√

47

√

2

Cancel the common factor of

2

.

Tap for more steps...

√

47

√

2

1

Evaluate the exponent.

√

47

√

2

Simplify the numerator.

Tap for fewer steps...

Combine using the product rule for radicals.

√

47

⋅

2

Multiply

47

by

2

.

√

94

2

The result can be shown in multiple forms.

Exact Form:

√

94

2

Decimal Form:

4.84767985

…

4 0

3 years ago

The width, y, of a rectangle with a fixed area varies inversely with its length, x. The width is 3 inches when the length is 14

IrinaVladis [17]

Answer:

$y = 1.4$

Step-by-step explanation:

Given

$y = width$

$x = length$

$y = 3;\ when\ x = 14$

Required

Find y when x = 30

Being an inverse variation, we have:

$y\ \alpha\ \frac{1}{x}$

Convert the variation to an equation

$y = \frac{k}{x}$

First, we solve for k

Make k the subject to solve for k

$k = xy$

$y = 3;\ when\ x = 14$

So, the value of k is:

$k = 14 * 3$

$k = 42$

To solve for y when x = 30

Substitute 30 for x and 42 for k in $k = xy$

$42 = 30 * y$

Make y the subject

$y = \frac{42}{30}$

$y = 1.4$

6 0

3 years ago

4 The equation of a line is y= 5x+7. (a) What is the slope of a line parallel to it? (b) What is the slope of a line perpendicul

LekaFEV [45]

The general form of equation of line is :

y = m(x -a ) + b

where m = slope, (a,b) = passing points

The given equation of line : y = 5x + 7

On comparing it with the general form of line

we get : a = 0, b = 7, m =5

Slope = 5

a) If the two lines are parallel then the slopes of both the lines are equal.

Let the slope of the parallel line is x

slope of the given line is 5

since, the slopes are equal thus x = 5

slope of line parallel to the line y= 5x+7. is 5

b) If the two lines are perpendicular then the product of thier slope is (-1)

Let the slope of the perpendicular line is n

since the slope of the given line is 5

so, from the above statement of slopes of perpendicular lines: 5n = -1

5n = -1

n = -1/5

n = -1/5

slope of line perpendicular to the line y= 5x+7. is -1/5

Answer:

a) slope = 5

b) slope = -1/5

7 0

1 year ago

Helpppppppp plssssssssssssss

Rama09 [41]

Answer:

its the first one

Step-by-step explanation:

if the fractions have the same denominator, all you have to do is add the numerators across.

5 0

3 years ago

Read 2 more answers