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2 years ago

Represent the geometric series using the explicit formula. 2. -8, 32, -128,

Mathematics

1 answer:

Dvinal [7]2 years ago

6 0

Answer:

it is in the form of- a, ar, ar^2,ar^3, etc

and a= 2

r= -4

Have a nice day!

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Raman purchased 2 an 1/2 pounds of chocolate covered peanuts for $9.75. WHat was the price per pound

viktelen [127]

Answer:

$3.9 per pound

Step-by-step explanation:

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3 0

2 years ago

Read 2 more answers

Jay is hanging 160 feet of Christmas garland on the three sides (two on the width and one on the length) of fencing that enclose

Setler [38]

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Given,

The measurement of the Christmas garland = 160 feet

The width of the fencing = w

The length of the fencing, l = 4w - 8

We have to find the length and width of the fencing.

Here,

Perimeter can be taken as 160. Because garland will cover the entire fencing.

Perimeter = 2(l + w)

160 = 2(4w - 8 + w)

160 = 2(5w - 8)

160/2 = 5w - 8

80 + 8 = 5w

88/5 = w

width = 17.6 feet

Now,

l = 4w - 8

l = 4 × 17.6 - 8

l = 70.4 - 8

length = 62.4 feet

That is,

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Learn more about perimeter here:

brainly.com/question/13023749

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3 0

1 year ago

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st

cluponka [151]

Answer:

12.3

Step-by-step explanation:

Step 1

We find the mean

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100

Mean = Sum of terms/Number of terms

Number of terms = 10

Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10

Mean = 844/10

Mean = 84.4

Step 2

Standard deviation

The formula for sample standard deviation =

√(x - Mean)²/n - 1

= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1

=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1

= √1364.4/9

= √151.6

= 12.31259518

Approximately to the nearest tenth = 12.3

The standard deviation = 12.3

6 0

2 years ago

Select the correct name for the following line.

gavmur [86]

Line AB is a line, for the line continues through the points given and goes on 'forever'

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3 0

3 years ago

Read 2 more answers

What’s the volume of this

pav-90 [236]

Given:

The height of the cylinder = 12 in

The diameter of the base of the cylinder = 8 in.

To find:

The volume of the cylinder.

Solution:

The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,

$r=\dfrac{8}{2}$

$r=4$

So, the radius of the base of the cylinder is 4 in.

The height of the cylinder, h = 12 in.

Base area of the cylinder is:

$B=\pi r^2$

Where, B is the base area and r is the radius.

$B=\pi (4)^2$

$B=16\pi$

So, the base area is $16\pi$ square inches.

The volume of the cylinder is:

$V=\pi r^2h$

$V=Bh$

Where, r is radius, h is height, B is base area.

Putting $B=16\pi$ and $h=12$ , we get

$V=(16\pi )12$

$V=192\pi$

So, the volume is $192\pi$ cubic inches.

Therefore, $r=4\text{ in}, h=12\text{ in},B=16\pi \text{ in}^2,V=192\pi \text{ in}^3$ .

7 0

3 years ago