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3 years ago

What parts of the American System are still in effect today

Mathematics

1 answer:

Stella [2.4K]3 years ago

8 0

Answer:channel

Step-by-step explanation:

because mof tje t,otjer ,fdoiclemr jsamdesad

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For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of

kotykmax [81]

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}$

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}$

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

$\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}$

here;

m = 5

n = 9

r = 0.5

Then:

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =0.186$

6 0

3 years ago

- A rectangle has a width of 4.2 m and an area of 37.8 m2. Find the length and the

eimsori [14]

Answer: option c

length = 9m

Perimeter = 26.4m

Step-by-step explanation:

A rectangle has a width of 4.2 m and an area of 37.8 m^2

We want yo determine the length of the rectangle and the perimeter of the rectangle.

The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.

The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes

2(length +width). So the perimeter of the given rectangle is

2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length × width. It becomes

37.8= length × 4.2

Length = 37.8/4.2 = 9m

Therefore, the perimeter is

2(length + 4.2) = 2(9+4.2)

Perimeter = 2× 13.2 = 26.4m

4 0

3 years ago

A data set is made up of these values three, three, four, six, six, seven, 10.

Gnoma [55]

Answer:

Step-by-step explanation:

4 0

3 years ago

Andy cut a tuna sandwich and a chicken sandwich into a total of 21 same size-pieces.He cut the tuna sandwich into 15 more pieces

sveta [45]

He would of ate 1/3 of the tuna sandwich!

6 0

3 years ago

Read 2 more answers

Do these numbers make a function why or why not?

Paladinen [302]

Answer:

No, because it has repeating domains (x-values) which is -2

Step-by-step explanation:

A function should not have repeating x-values.

8 0

2 years ago