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2 years ago

Solve the equation 4/x=8

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

7 0

Answer:

x = .5

Step-by-step explanation:

4 / x = 8

4 / .5 = 8

x = .5

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Geometric Series assistance

Levart [38]

we have been asked to find the sum of the series

$\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}$

As we know that a geometric series has a constant ratio "r" and it is defined as

$r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}$

The first term of the series is $a_1=\left(\frac{1}{3}\right)^{1-1}=1$

Geometric series sum formula is

$S_n=a_1\frac{1-r^n}{1-r}$

Plugin the values we get

$S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}$

On simplification we get

$S_5=\frac{121}{81}$

Hence the sum of the given series is $\frac{121}{81}$

5 0

2 years ago

Suppose two rectangles have the same area. Must they have the same length and width? Explain.

Monica [59]

Answer:

Step-by-step explanation:

Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.

5 0

2 years ago

Consider the following pair of points.

dedylja [7]

Answer:

The answer is

<h2> $\sqrt{265} \: \: or \: \: 16.28 \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-8) and (-7,-5)

The distance between them is

$d = \sqrt{ ({9 + 7})^{2} + ({ - 8 + 5})^{2} } \\ = \sqrt{ {16}^{2} + ( { - 3})^{2} } \\ = \sqrt{256 + 9} \: \: \: \: \: \: \: \: \: \\ = \sqrt{265} \: \: \: \: \: \: \\ = 16.27882$

We have the final answer as

$\sqrt{265} \: \: or \: \: 16.28 \: \: \: \: units$

Hope this helps you

4 0

2 years ago

Using the graph as your guide, complete the following statement.

Mama L [17]

There Is no picture so I can see what you are talking about

8 0

2 years ago

7z/4+5x if z=8 and x=3 PLEASE HELP THIS IS DUE IN 20 MINS.

Taya2010 [7]

Answer:

Step-by-step explanation:

7(8)/4+5(3)

56/4+15

14+15

5 0

2 years ago

Solve the equation 4/x=8​

Solve the equation 4/x=8